Merge pull request #414 from cvxgrp/docs/regen-example-outputs

docs: regenerate example outputs against current master

Author: bodono

docs/src/examples/python/entropy.py.out

@@ -1,5 +1,5 @@
 ------------------------------------------------------------------
-	       SCS v3.1.1 - Splitting Conic Solver
+	       SCS v3.2.11 - Splitting Conic Solver
 	(c) Brendan O'Donoghue, Stanford University, 2012
 ------------------------------------------------------------------
 problem:  variables n: 100, constraints m: 171
@@ -9,20 +9,20 @@ cones: 	  z: primal zero / dual free vars: 1
 settings: eps_abs: 1.0e-04, eps_rel: 1.0e-04, eps_infeas: 1.0e-07
 	  alpha: 1.50, scale: 1.00e-01, adaptive_scale: 1
 	  max_iters: 100000, normalize: 1, rho_x: 1.00e-06
-	  acceleration_lookback: 10, acceleration_interval: 10
-lin-sys:  sparse-direct
+	  acceleration_lookback: 10, acceleration_interval: 5
+lin-sys:  sparse-direct-amd-qdldl
 	  nnz(A): 1150, nnz(P): 0
 ------------------------------------------------------------------
  iter | pri res | dua res |   gap   |   obj   |  scale  | time (s)
 ------------------------------------------------------------------
-     0| 1.11e+01  6.95e-01  5.59e+02 -3.06e+02  1.00e-01  9.02e-04 
-   225| 8.91e-06  1.30e-05  3.24e-05 -3.89e+00  5.45e+00  1.43e-01 
+     0| 1.38e+01  7.11e-01  7.21e+02 -3.87e+02  1.00e-01  2.21e-04 
+   225| 1.46e-04  2.42e-06  4.51e-06 -3.89e+00  1.00e-01  8.58e-03 
 ------------------------------------------------------------------
 status:  solved
-timings: total: 1.44e-01s = setup: 5.53e-04s + solve: 1.43e-01s
-	 lin-sys: 1.06e-03s, cones: 1.42e-01s, accel: 4.26e-05s
+timings: total: 8.58e-03s = setup: 1.75e-04s + solve: 8.41e-03s
+	 lin-sys: 6.29e-03s, cones: 1.64e-03s, accel: 2.56e-04s
 ------------------------------------------------------------------
-objective = -3.888803
+objective = -3.888788
 ------------------------------------------------------------------
-CVXPY optimal value is: 3.888784623785257
-Solution norm difference: 2.241074541050464e-06
+CVXPY optimal value is: 3.8887846237852566
+Solution norm difference: 5.640851171150041e-05

docs/src/examples/python/lasso.py

@@ -4,7 +4,6 @@
 from scipy import sparse
 
 # Generate problem data
-sp.random.seed(1)
 np.random.seed(1)
 
 n = 200  # Variables

docs/src/examples/python/lasso.py.out

@@ -1,6 +1,6 @@
 Solving for lambda = 0
 ------------------------------------------------------------------
-	       SCS v3.1.1 - Splitting Conic Solver
+	       SCS v3.2.11 - Splitting Conic Solver
 	(c) Brendan O'Donoghue, Stanford University, 2012
 ------------------------------------------------------------------
 problem:  variables n: 500, constraints m: 500
@@ -9,205 +9,181 @@ cones: 	  z: primal zero / dual free vars: 100
 settings: eps_abs: 1.0e-06, eps_rel: 1.0e-06, eps_infeas: 1.0e-07
 	  alpha: 1.50, scale: 1.00e-01, adaptive_scale: 1
 	  max_iters: 100000, normalize: 1, rho_x: 1.00e-06
-	  acceleration_lookback: 10, acceleration_interval: 10
-lin-sys:  sparse-direct
+	  acceleration_lookback: 10, acceleration_interval: 5
+lin-sys:  sparse-direct-amd-qdldl
 	  nnz(A): 10900, nnz(P): 100
 ------------------------------------------------------------------
  iter | pri res | dua res |   gap   |   obj   |  scale  | time (s)
 ------------------------------------------------------------------
-     0| 4.54e+00  7.55e-02  9.57e-01  4.89e-01  1.00e-01  1.68e-04 
-    25| 1.56e-07  5.84e-08  3.28e-07  1.64e-07  1.00e-01  1.36e-03 
+     0| 4.54e+00  1.30e-01  1.62e+00  8.41e-01  1.00e-01  2.06e-03 
+    25| 1.51e-07  1.43e-07  8.38e-07  4.19e-07  1.00e-01  3.75e-03 
 ------------------------------------------------------------------
 status:  solved
-timings: total: 7.39e-03s = setup: 6.02e-03s + solve: 1.37e-03s
-	 lin-sys: 1.06e-03s, cones: 3.43e-05s, accel: 6.73e-06s
+timings: total: 3.75e-03s = setup: 1.96e-03s + solve: 1.78e-03s
+	 lin-sys: 1.62e-03s, cones: 2.52e-05s, accel: 1.87e-05s
 ------------------------------------------------------------------
 objective = 0.000000
 ------------------------------------------------------------------
-Error : 0.7256063655877213
+Error : 0.7256048204170595
 Solving for lambda = 0.01
 ------------------------------------------------------------------
  iter | pri res | dua res |   gap   |   obj   |  scale  | time (s)
 ------------------------------------------------------------------
-     0| 1.41e-01  1.00e-02  7.69e-02  3.85e-02  1.00e-01  1.48e-04 
-   250| 1.34e-04  1.56e-06  1.40e-06  1.25e-01  1.69e-02  1.14e-02 
-   500| 5.72e-05  8.48e-07  4.82e-07  1.25e-01  1.69e-02  2.19e-02 
-   750| 2.01e-05  1.20e-07  5.32e-07  1.25e-01  1.69e-02  3.25e-02 
-   875| 4.30e-06  1.16e-07  2.10e-07  1.25e-01  1.69e-02  3.79e-02 
+     0| 7.99e-02  1.00e-02  1.99e-01  9.93e-02  1.00e-01  8.11e-05 
+   250| 2.48e-03  3.59e-05  5.94e-08  1.25e-01  1.31e-02  9.63e-03 
+   325| 1.40e-09  1.51e-11  2.05e-12  1.25e-01  1.31e-02  1.45e-02 
 ------------------------------------------------------------------
 status:  solved
-timings: total: 3.80e-02s = setup: 4.35e-06s + solve: 3.80e-02s
-	 lin-sys: 3.20e-02s, cones: 7.18e-04s, accel: 6.56e-04s
+timings: total: 1.45e-02s = setup: 1.12e-06s + solve: 1.45e-02s
+	 lin-sys: 9.79e-03s, cones: 3.00e-04s, accel: 1.56e-03s
 ------------------------------------------------------------------
 objective = 0.125039
 ------------------------------------------------------------------
-Error : 0.2259107853405316
+Error : 0.2259045812689564
 Solving for lambda = 0.02497591197515687
 ------------------------------------------------------------------
  iter | pri res | dua res |   gap   |   obj   |  scale  | time (s)
 ------------------------------------------------------------------
-     0| 1.26e+00  1.50e-02  6.09e+00 -2.92e+00  1.69e-02  1.59e-04 
-   250| 8.05e-04  1.01e-05  1.23e-04  3.10e-01  1.69e-02  1.37e-02 
-   500| 2.98e-04  1.20e-06  1.85e-05  3.10e-01  1.69e-02  2.76e-02 
-   750| 1.20e-04  1.01e-06  9.39e-06  3.10e-01  1.69e-02  4.12e-02 
-  1000| 9.60e-05  7.37e-07  3.64e-06  3.10e-01  1.69e-02  5.46e-02 
-  1250| 4.72e-05  8.34e-07  6.33e-06  3.10e-01  1.69e-02  6.76e-02 
-  1500| 2.25e-05  3.04e-07  2.25e-06  3.10e-01  1.69e-02  7.83e-02 
-  1750| 5.62e-06  2.28e-08  4.66e-07  3.10e-01  1.69e-02  8.91e-02 
-  1950| 4.71e-06  6.17e-08  1.22e-07  3.10e-01  1.69e-02  9.78e-02 
+     0| 1.98e-01  1.53e-02  3.48e-01  3.17e-01  1.31e-02  2.29e-04 
+   250| 1.19e-04  2.96e-04  1.04e-06  3.10e-01  1.05e-01  1.04e-02 
+   275| 2.66e-11  1.66e-12  2.16e-13  3.10e-01  1.05e-01  1.26e-02 
 ------------------------------------------------------------------
 status:  solved
-timings: total: 9.78e-02s = setup: 4.45e-06s + solve: 9.78e-02s
-	 lin-sys: 8.29e-02s, cones: 2.08e-03s, accel: 2.57e-03s
+timings: total: 1.26e-02s = setup: 6.33e-06s + solve: 1.26e-02s
+	 lin-sys: 9.34e-03s, cones: 2.75e-04s, accel: 1.22e-03s
 ------------------------------------------------------------------
 objective = 0.309833
 ------------------------------------------------------------------
-Error : 0.21880188151191785
+Error : 0.21880244387526449
 Solving for lambda = 0.06237961789907842
 ------------------------------------------------------------------
  iter | pri res | dua res |   gap   |   obj   |  scale  | time (s)
 ------------------------------------------------------------------
-     0| 3.14e+00  3.74e-02  3.87e+01 -1.90e+01  1.69e-02  1.61e-04 
-   250| 2.30e-03  2.35e-05  4.98e-04  7.59e-01  1.69e-02  1.09e-02 
-   500| 6.38e-04  8.53e-06  1.13e-04  7.59e-01  1.69e-02  2.16e-02 
-   750| 8.74e-04  9.97e-06  1.78e-05  7.59e-01  1.69e-02  3.20e-02 
-  1000| 1.71e-04  3.89e-07  1.42e-05  7.59e-01  1.69e-02  4.27e-02 
-  1250| 8.82e-05  2.24e-07  6.85e-06  7.59e-01  1.69e-02  5.30e-02 
-  1500| 8.80e-06  1.58e-08  3.94e-07  7.59e-01  1.69e-02  6.34e-02 
-  1675| 5.44e-06  8.79e-09  1.93e-07  7.59e-01  1.69e-02  7.04e-02 
+     0| 1.93e-01  3.98e-02  4.40e-01  9.70e-01  1.05e-01  1.80e-04 
+   250| 7.86e-04  1.73e-03  1.66e-05  7.59e-01  1.48e-01  1.44e-02 
+   375| 1.28e-11  6.34e-15  9.18e-13  7.59e-01  1.62e-02  2.23e-02 
 ------------------------------------------------------------------
 status:  solved
-timings: total: 7.04e-02s = setup: 4.46e-06s + solve: 7.04e-02s
-	 lin-sys: 6.07e-02s, cones: 1.32e-03s, accel: 1.40e-03s
+timings: total: 2.23e-02s = setup: 3.50e-06s + solve: 2.23e-02s
+	 lin-sys: 1.69e-02s, cones: 4.15e-04s, accel: 1.53e-03s
 ------------------------------------------------------------------
 objective = 0.759146
 ------------------------------------------------------------------
-Error : 0.19472289935884313
+Error : 0.19471744356445225
 Solving for lambda = 0.15579878456913032
 ------------------------------------------------------------------
  iter | pri res | dua res |   gap   |   obj   |  scale  | time (s)
 ------------------------------------------------------------------
-     0| 7.83e+00  9.34e-02  2.43e+02 -1.21e+02  1.69e-02  1.52e-04 
-   250| 6.59e-03  2.83e-05  1.68e-03  1.81e+00  1.69e-02  1.07e-02 
-   500| 5.37e-03  4.13e-05  8.56e-04  1.82e+00  1.69e-02  2.15e-02 
-   750| 2.12e-03  7.02e-06  3.70e-04  1.82e+00  1.69e-02  3.22e-02 
-  1000| 9.68e-04  1.98e-06  1.49e-04  1.82e+00  1.69e-02  4.30e-02 
-  1250| 9.76e+00  1.16e-01  1.21e-01  1.66e+00  1.69e-02  5.40e-02 
-  1500| 6.24e-05  2.01e-07  3.74e-06  1.82e+00  1.69e-02  6.48e-02 
-  1750| 1.50e-05  1.46e-07  6.33e-07  1.82e+00  1.69e-02  7.51e-02 
-  1900| 4.08e-06  1.56e-08  4.53e-08  1.82e+00  1.69e-02  8.15e-02 
+     0| 3.66e-01  1.13e-01  1.29e+00  2.13e+00  1.62e-02  1.85e-04 
+   250| 2.17e-02  1.21e-03  1.19e-03  1.82e+00  1.62e-02  1.36e-02 
+   500| 1.60e-04  6.22e-09  4.44e-09  1.82e+00  4.51e-01  2.81e-02 
+   525| 8.09e-12  1.33e-11  1.54e-12  1.82e+00  7.76e+00  3.26e-02 
 ------------------------------------------------------------------
 status:  solved
-timings: total: 8.15e-02s = setup: 4.07e-06s + solve: 8.15e-02s
-	 lin-sys: 7.04e-02s, cones: 1.47e-03s, accel: 1.75e-03s
+timings: total: 3.26e-02s = setup: 6.75e-06s + solve: 3.26e-02s
+	 lin-sys: 2.25e-02s, cones: 5.72e-04s, accel: 2.16e-03s
 ------------------------------------------------------------------
 objective = 1.818814
 ------------------------------------------------------------------
-Error : 0.16652260857219253
+Error : 0.16651882508874866
 Solving for lambda = 0.3891216729235027
 ------------------------------------------------------------------
  iter | pri res | dua res |   gap   |   obj   |  scale  | time (s)
 ------------------------------------------------------------------
-     0| 1.96e+01  2.33e-01  1.52e+03 -7.58e+02  1.69e-02  1.54e-04 
-   250| 1.60e-02  1.13e-04  2.43e-03  4.22e+00  1.69e-02  1.15e-02 
-   500| 3.91e-03  6.14e-05  1.38e-03  4.26e+00  5.49e-02  2.35e-02 
-   750| 1.10e-03  8.02e-06  8.38e-04  4.27e+00  1.81e-01  3.44e-02 
-  1000| 6.18e-06  3.09e-07  1.36e-06  4.27e+00  1.81e-01  4.43e-02 
-  1025| 4.23e-06  1.61e-07  5.60e-07  4.27e+00  1.81e-01  4.53e-02 
+     0| 3.33e-01  2.69e-01  1.84e+00  5.26e+00  7.76e+00  9.22e-05 
+   250| 1.01e-06  3.94e-04  9.93e-09  4.27e+00  1.29e+00  1.50e-02 
+   275| 2.05e-08  1.14e-09  6.95e-11  4.27e+00  1.29e+00  1.74e-02 
 ------------------------------------------------------------------
 status:  solved
-timings: total: 4.53e-02s = setup: 3.94e-06s + solve: 4.53e-02s
-	 lin-sys: 3.80e-02s, cones: 8.57e-04s, accel: 6.28e-04s
+timings: total: 1.74e-02s = setup: 1.21e-06s + solve: 1.74e-02s
+	 lin-sys: 1.17e-02s, cones: 3.12e-04s, accel: 1.39e-03s
 ------------------------------------------------------------------
-objective = 4.269514
+objective = 4.269513
 ------------------------------------------------------------------
-Error : 0.16508930825747362
+Error : 0.1650902774396444
 Solving for lambda = 0.9718668650563185
 ------------------------------------------------------------------
  iter | pri res | dua res |   gap   |   obj   |  scale  | time (s)
 ------------------------------------------------------------------
-     0| 4.55e+00  5.83e-01  8.78e+02 -4.35e+02  1.81e-01  1.58e-04 
-   250| 4.54e-03  3.43e-05  3.36e-03  1.01e+01  1.81e-01  1.07e-02 
-   500| 6.93e-04  3.79e-06  4.76e-04  1.01e+01  1.81e-01  2.15e-02 
-   725| 1.15e-07  5.49e-08  1.98e-10  1.01e+01  5.85e-01  3.20e-02 
+     0| 5.90e-01  6.85e-01  5.53e+00  1.17e+01  1.29e+00  1.57e-04 
+   250| 1.92e-03  1.86e-03  2.56e-05  1.01e+01  1.29e+00  2.72e-02 
+   275| 4.89e-10  2.69e-10  1.27e-10  1.01e+01  1.29e+00  2.93e-02 
 ------------------------------------------------------------------
 status:  solved
-timings: total: 3.20e-02s = setup: 3.95e-06s + solve: 3.20e-02s
-	 lin-sys: 2.73e-02s, cones: 5.78e-04s, accel: 5.07e-04s
+timings: total: 2.93e-02s = setup: 2.54e-06s + solve: 2.93e-02s
+	 lin-sys: 2.42e-02s, cones: 3.56e-04s, accel: 1.53e-03s
 ------------------------------------------------------------------
 objective = 10.143419
 ------------------------------------------------------------------
-Error : 0.17887188557683356
+Error : 0.17887190179437706
 Solving for lambda = 2.427326127321828
 ------------------------------------------------------------------
  iter | pri res | dua res |   gap   |   obj   |  scale  | time (s)
 ------------------------------------------------------------------
-     0| 3.52e+00  1.46e+00  1.69e+03 -8.37e+02  5.85e-01  5.24e-04 
-   250| 9.19e-05  3.91e-06  1.18e-04  2.44e+01  5.85e-01  1.16e-02 
-   350| 3.72e-08  1.71e-08  1.53e-07  2.44e+01  5.85e-01  1.63e-02 
+     0| 1.21e+00  1.82e+00  1.40e+01  2.72e+01  1.29e+00  1.08e-04 
+   250| 1.19e-03  2.58e-07  3.03e-07  2.44e+01  1.29e+00  1.29e-02 
+   325| 1.45e-11  1.41e-11  4.29e-11  2.44e+01  5.92e+01  1.60e-02 
 ------------------------------------------------------------------
 status:  solved
-timings: total: 1.63e-02s = setup: 3.98e-06s + solve: 1.63e-02s
-	 lin-sys: 1.38e-02s, cones: 2.89e-04s, accel: 2.45e-04s
+timings: total: 1.60e-02s = setup: 3.46e-06s + solve: 1.60e-02s
+	 lin-sys: 1.07e-02s, cones: 3.30e-04s, accel: 7.08e-04s
 ------------------------------------------------------------------
 objective = 24.402281
 ------------------------------------------------------------------
-Error : 0.2605486204939154
+Error : 0.260548599832583
 Solving for lambda = 6.062468369098836
 ------------------------------------------------------------------
  iter | pri res | dua res |   gap   |   obj   |  scale  | time (s)
 ------------------------------------------------------------------
-     0| 8.79e+00  3.64e+00  1.06e+04 -5.29e+03  5.85e-01  1.55e-04 
-   250| 8.09e-05  8.61e-05  3.41e-05  5.78e+01  5.85e-01  1.09e-02 
-   325| 2.57e-06  1.02e-07  5.29e-06  5.78e+01  5.85e-01  1.46e-02 
+     0| 6.54e-01  4.13e+00  2.89e+01  7.34e+01  5.92e+01  9.42e-05 
+   225| 9.37e-10  1.76e-10  3.86e-11  5.78e+01  1.69e+01  1.37e-02 
 ------------------------------------------------------------------
 status:  solved
-timings: total: 1.46e-02s = setup: 4.46e-06s + solve: 1.46e-02s
-	 lin-sys: 1.25e-02s, cones: 2.66e-04s, accel: 2.45e-04s
+timings: total: 1.37e-02s = setup: 1.83e-06s + solve: 1.37e-02s
+	 lin-sys: 9.32e-03s, cones: 1.12e-03s, accel: 9.93e-04s
 ------------------------------------------------------------------
-objective = 57.753523
+objective = 57.753526
 ------------------------------------------------------------------
-Error : 0.4805364286021535
+Error : 0.4805368843925068
 Solving for lambda = 15.141567633878541
 ------------------------------------------------------------------
  iter | pri res | dua res |   gap   |   obj   |  scale  | time (s)
 ------------------------------------------------------------------
-     0| 2.20e+01  9.08e+00  6.64e+04 -3.31e+04  5.85e-01  1.54e-04 
-   150| 1.74e-07  2.20e-06  8.87e-06  1.31e+02  6.39e+00  8.10e-03 
+     0| 1.39e+00  9.47e+00  5.47e+01  1.59e+02  1.69e+01  2.68e-04 
+   125| 6.43e-09  1.55e-07  2.37e-09  1.31e+02  1.64e+02  7.62e-03 
 ------------------------------------------------------------------
 status:  solved
-timings: total: 8.11e-03s = setup: 4.38e-06s + solve: 8.10e-03s
-	 lin-sys: 6.28e-03s, cones: 1.46e-04s, accel: 1.09e-04s
+timings: total: 7.62e-03s = setup: 1.37e-06s + solve: 7.62e-03s
+	 lin-sys: 5.53e-03s, cones: 1.39e-04s, accel: 5.00e-04s
 ------------------------------------------------------------------
-objective = 130.731598
+objective = 130.731603
 ------------------------------------------------------------------
-Error : 0.728897685138138
+Error : 0.7288975963380174
 Solving for lambda = 37.81744603896349
 ------------------------------------------------------------------
  iter | pri res | dua res |   gap   |   obj   |  scale  | time (s)
 ------------------------------------------------------------------
-     0| 5.02e+00  2.27e+01  3.78e+04 -1.88e+04  6.39e+00  3.06e-04 
-   125| 1.11e-07  4.49e-07  3.88e-05  2.66e+02  6.39e+00  9.53e-03 
+     0| 2.76e+00  2.31e+01  4.57e+01  3.02e+02  1.64e+02  1.94e-04 
+   100| 5.88e-07  4.16e-09  3.47e-08  2.66e+02  1.64e+02  7.52e-03 
 ------------------------------------------------------------------
 status:  solved
-timings: total: 9.54e-03s = setup: 6.99e-06s + solve: 9.54e-03s
-	 lin-sys: 7.88e-03s, cones: 2.06e-04s, accel: 1.81e-04s
+timings: total: 7.52e-03s = setup: 3.25e-06s + solve: 7.52e-03s
+	 lin-sys: 6.09e-03s, cones: 1.47e-04s, accel: 6.35e-04s
 ------------------------------------------------------------------
-objective = 265.601214
+objective = 265.601231
 ------------------------------------------------------------------
-Error : 0.8689013367110517
+Error : 0.8689014399512269
 Solving for lambda = 94.45252033943963
 ------------------------------------------------------------------
  iter | pri res | dua res |   gap   |   obj   |  scale  | time (s)
 ------------------------------------------------------------------
-     0| 1.25e+01  5.66e+01  2.37e+05 -1.18e+05  6.39e+00  2.22e-04 
-   250| 1.32e-06  1.19e-12  4.39e-03  3.80e+02  1.60e+01  1.32e-02 
-   325| 1.47e-14  1.61e-08  2.15e-11  3.80e+02  6.73e+04  1.69e-02 
+     0| 7.45e+00  5.72e+01  4.20e+02  1.40e+02  1.64e+02  1.59e-04 
+   125| 1.34e-11  1.45e-10  1.79e-10  3.80e+02  3.10e+03  6.47e-03 
 ------------------------------------------------------------------
 status:  solved
-timings: total: 1.69e-02s = setup: 6.50e-06s + solve: 1.69e-02s
-	 lin-sys: 1.28e-02s, cones: 2.90e-04s, accel: 2.29e-04s
+timings: total: 6.47e-03s = setup: 2.42e-06s + solve: 6.47e-03s
+	 lin-sys: 5.05e-03s, cones: 1.41e-04s, accel: 3.99e-04s
 ------------------------------------------------------------------
 objective = 379.601832
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-Error : 1.0000000000000042
+Error : 0.9999999999994051