16.231 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.003 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.004 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.004 * * * * [points]: Setting MPFR precision to 64 0.004 * * * * [points]: Setting MPFR precision to 320 0.004 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.004 * * * * [points]: Setting MPFR precision to 64 0.005 * * * * [points]: Setting MPFR precision to 320 0.005 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.005 * * * * [points]: Setting MPFR precision to 64 0.005 * * * * [points]: Setting MPFR precision to 320 0.006 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.006 * * * * [points]: Setting MPFR precision to 64 0.006 * * * * [points]: Setting MPFR precision to 320 0.007 * * * * [points]: Computing exacts for 256 points 0.007 * * * * [points]: Setting MPFR precision to 64 0.009 * * * * [points]: Setting MPFR precision to 320 0.011 * * * * [points]: Filtering points with unrepresentable outputs 0.011 * * * * [points]: Sampled 256 points with exact outputs 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (+ x (/ 1.0 3.0)) 0.019 * * [simplify]: iteration 0 : 6 enodes (cost 5 ) 0.019 * * [simplify]: iteration 1 : 6 enodes (cost 5 ) 0.019 * [simplify]: Simplified to: (+ x (/ 1.0 3.0)) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.030 * * * [progress]: generating series expansions 0.030 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.030 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.030 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.031 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.031 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.031 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.031 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.031 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.032 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.032 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.032 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.032 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * * * [progress]: simplifying candidates 0.033 * [simplify]: Simplifying using # : (* (exp x) (exp (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (* (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 0.082 * * [simplify]: iteration 0 : 4905 enodes (cost 108 ) 0.083 * * [simplify]: iteration 1 : 4905 enodes (cost 108 ) 0.083 * [simplify]: Simplified to: (exp (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* x x) (* 1.0 (/ (- (/ 1.0 3.0) x) 3.0))) (- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0)))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 0.083 * * * [progress]: adding candidates to table 0.103 * * [progress]: iteration 2 / 4 0.103 * * * [progress]: picking best candidate 0.105 * * * * [pick]: Picked # 0.105 * * * [progress]: localizing error 0.112 * * * [progress]: generating rewritten candidates 0.112 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.119 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.126 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.132 * * * [progress]: generating series expansions 0.132 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.132 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.132 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.132 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.133 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.133 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.133 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.133 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.134 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.134 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.134 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.134 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.135 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.135 * [approximate]: Taking taylor expansion of (exp (+ x 0.3333333333333333)) in (x) around 0 0.135 * [taylor]: Taking taylor expansion of (exp (+ x 0.3333333333333333)) in x 0.135 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.135 * [taylor]: Taking taylor expansion of (exp (+ x 0.3333333333333333)) in x 0.135 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.135 * [approximate]: Taking taylor expansion of (exp (+ 0.3333333333333333 (/ 1 x))) in (x) around 0 0.136 * [taylor]: Taking taylor expansion of (exp (+ 0.3333333333333333 (/ 1 x))) in x 0.136 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.136 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (exp (+ 0.3333333333333333 (/ 1 x))) in x 0.136 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.136 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [approximate]: Taking taylor expansion of (exp (- 0.3333333333333333 (/ 1 x))) in (x) around 0 0.136 * [taylor]: Taking taylor expansion of (exp (- 0.3333333333333333 (/ 1 x))) in x 0.136 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.136 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (exp (- 0.3333333333333333 (/ 1 x))) in x 0.136 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.136 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.137 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.137 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.137 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.137 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.137 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.137 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.137 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.137 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.138 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.138 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.138 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.138 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.139 * * * [progress]: simplifying candidates 0.139 * [simplify]: Simplifying using # : (log (exp x)) (log (exp (/ 1.0 3.0))) (log (* (cbrt (exp (+ x (/ 1.0 3.0)))) (cbrt (exp (+ x (/ 1.0 3.0)))))) (log (cbrt (exp (+ x (/ 1.0 3.0))))) (log (sqrt (exp (+ x (/ 1.0 3.0))))) (log (sqrt (exp (+ x (/ 1.0 3.0))))) (log 1) (log (exp (+ x (/ 1.0 3.0)))) (log (exp (+ x (/ 1.0 3.0)))) (log (exp (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (log (exp (sqrt (+ x (/ 1.0 3.0))))) (log (exp 1)) (log (exp 1)) (log (log (exp (+ x (/ 1.0 3.0))))) (exp (log (exp (+ x (/ 1.0 3.0))))) (* (cbrt (log (exp (+ x (/ 1.0 3.0))))) (cbrt (log (exp (+ x (/ 1.0 3.0)))))) (cbrt (log (exp (+ x (/ 1.0 3.0))))) (* (* (log (exp (+ x (/ 1.0 3.0)))) (log (exp (+ x (/ 1.0 3.0))))) (log (exp (+ x (/ 1.0 3.0))))) (sqrt (log (exp (+ x (/ 1.0 3.0))))) (sqrt (log (exp (+ x (/ 1.0 3.0))))) (exp (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (exp (sqrt (+ x (/ 1.0 3.0)))) (exp 1) (exp 1) (exp x) (exp (/ 1.0 3.0)) (log (exp (+ x (/ 1.0 3.0)))) (exp (exp (+ x (/ 1.0 3.0)))) (* (cbrt (exp (+ x (/ 1.0 3.0)))) (cbrt (exp (+ x (/ 1.0 3.0))))) (cbrt (exp (+ x (/ 1.0 3.0)))) (* (* (exp (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0)))) (exp (+ x (/ 1.0 3.0)))) (sqrt (exp (+ x (/ 1.0 3.0)))) (sqrt (exp (+ x (/ 1.0 3.0)))) (* (exp x) (exp (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (* (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ (exp 0.3333333333333333) (+ (* (exp 0.3333333333333333) x) (* 1/2 (* (exp 0.3333333333333333) (pow x 2))))) (exp (+ x 0.3333333333333333)) (exp (+ x 0.3333333333333333)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 0.190 * * [simplify]: iteration 0 : 4928 enodes (cost 343 ) 0.190 * * [simplify]: iteration 1 : 4928 enodes (cost 343 ) 0.192 * [simplify]: Simplified to: x (/ 1.0 3.0) (* (log (cbrt (exp (+ x (/ 1.0 3.0))))) 2) (log (cbrt (exp (+ x (/ 1.0 3.0))))) (log (sqrt (exp (+ x (/ 1.0 3.0))))) (log (sqrt (exp (+ x (/ 1.0 3.0))))) (log 1) (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0))) 1 1 (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (pow (exp (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0)))) (exp (sqrt (+ x (/ 1.0 3.0)))) E E (exp x) (exp (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (exp (exp (+ x (/ 1.0 3.0)))) (* (cbrt (exp (+ x (/ 1.0 3.0)))) (cbrt (exp (+ x (/ 1.0 3.0))))) (cbrt (exp (+ x (/ 1.0 3.0)))) (pow (exp (+ x (/ 1.0 3.0))) 3) (sqrt (exp (+ x (/ 1.0 3.0)))) (sqrt (exp (+ x (/ 1.0 3.0)))) (exp (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* x x) (* (/ 1.0 3.0) (- (/ 1.0 3.0) x))) (- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0)))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (* (exp 0.3333333333333333) (+ x (+ 1 (* x (* x 1/2))))) (exp (+ x 0.3333333333333333)) (exp (+ x 0.3333333333333333)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 0.192 * * * [progress]: adding candidates to table 0.252 * [progress]: [Phase 3 of 3] Extracting. 0.252 * * [regime]: Finding splitpoints for: (# #) 0.252 * * * [regime-changes]: Trying 2 branch expressions: ((+ x (/ 1.0 3.0)) x) 0.252 * * * * [regimes]: Trying to branch on (+ x (/ 1.0 3.0)) from (# #) 0.298 * * * * [regimes]: Trying to branch on x from (# #) 0.324 * * * [regime]: Found split indices: #