48.960 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying: (/ 2.0 (+ (exp x) (exp (- x)))) 0.025 * * [simplify]: iteration 0: 7 enodes 0.027 * * [simplify]: iteration 1: 10 enodes 0.029 * * [simplify]: iteration 2: 12 enodes 0.032 * * [simplify]: iteration complete: 12 enodes 0.032 * * [simplify]: Extracting #0: cost 1 inf + 0 0.032 * * [simplify]: Extracting #1: cost 3 inf + 0 0.032 * * [simplify]: Extracting #2: cost 4 inf + 1 0.032 * * [simplify]: Extracting #3: cost 7 inf + 1 0.032 * * [simplify]: Extracting #4: cost 0 inf + 709 0.032 * [simplify]: Simplified to: (/ 2.0 (+ (exp x) (exp (- x)))) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.073 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.074 * [backup-simplify]: Simplify (+ (exp x) (exp (- x))) into (+ (exp x) (exp (- x))) 0.074 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 0.074 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.074 * [taylor]: Taking taylor expansion of (exp x) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (exp 0) into 1 0.074 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.074 * [taylor]: Taking taylor expansion of (- x) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (- 0) into 0 0.084 * [backup-simplify]: Simplify (- 1) into -1 0.084 * [backup-simplify]: Simplify (exp 0) into 1 0.084 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.084 * [taylor]: Taking taylor expansion of (exp x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (exp 0) into 1 0.084 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.084 * [taylor]: Taking taylor expansion of (- x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (- 0) into 0 0.085 * [backup-simplify]: Simplify (- 1) into -1 0.085 * [backup-simplify]: Simplify (exp 0) into 1 0.086 * [backup-simplify]: Simplify (+ 1 1) into 2 0.086 * [backup-simplify]: Simplify 2 into 2 0.087 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.088 * [backup-simplify]: Simplify (- 1) into -1 0.089 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.089 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.090 * [backup-simplify]: Simplify (- 1) into -1 0.091 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.093 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.093 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.096 * [backup-simplify]: Simplify (- 1) into -1 0.096 * [backup-simplify]: Simplify (- 1) into -1 0.097 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 0.099 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.102 * [backup-simplify]: Simplify (- 1) into -1 0.102 * [backup-simplify]: Simplify (- 1) into -1 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify (- 1) into -1 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.104 * [backup-simplify]: Simplify (- 0) into 0 0.104 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.108 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 0.108 * [backup-simplify]: Simplify 1/12 into 1/12 0.109 * [backup-simplify]: Simplify (+ (* 1/12 (pow x 4)) (+ (* 1 (pow x 2)) 2)) into (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 0.109 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.109 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 0.109 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.109 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.110 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.110 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [backup-simplify]: Simplify (- 1) into -1 0.110 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.110 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.111 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (/ 1 1) into 1 0.111 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.111 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.111 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (/ 1 1) into 1 0.112 * [backup-simplify]: Simplify (- 1) into -1 0.112 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.113 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.113 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x))))) into (+ (exp x) (exp (- x))) 0.115 * [backup-simplify]: Simplify (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.115 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 0.115 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.115 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.116 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.116 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.116 * [taylor]: Taking taylor expansion of -1 in x 0.116 * [backup-simplify]: Simplify -1 into -1 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (/ -1 1) into -1 0.117 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.117 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.117 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.117 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.117 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.117 * [taylor]: Taking taylor expansion of -1 in x 0.117 * [backup-simplify]: Simplify -1 into -1 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (/ -1 1) into -1 0.118 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.118 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.118 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x))))) into (+ (exp (* -1 x)) (exp x)) 0.121 * * * [progress]: simplifying candidates 0.121 * [simplify]: Simplifying: (expm1 (+ (exp x) (exp (- x)))) (log1p (+ (exp x) (exp (- x)))) (* (exp (exp x)) (exp (exp (- x)))) (log (+ (exp x) (exp (- x)))) (exp (+ (exp x) (exp (- x)))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))) (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp x) (exp (- x))) (+ (exp (* -1 x)) (exp x)) 0.122 * * [simplify]: iteration 0: 40 enodes 0.136 * * [simplify]: iteration 1: 110 enodes 0.186 * * [simplify]: iteration 2: 353 enodes 0.340 * * [simplify]: iteration 3: 1230 enodes 1.586 * * [simplify]: iteration 4: 4233 enodes 2.177 * * [simplify]: iteration complete: 5000 enodes 2.177 * * [simplify]: Extracting #0: cost 14 inf + 0 2.178 * * [simplify]: Extracting #1: cost 164 inf + 0 2.180 * * [simplify]: Extracting #2: cost 576 inf + 2925 2.189 * * [simplify]: Extracting #3: cost 440 inf + 35913 2.216 * * [simplify]: Extracting #4: cost 97 inf + 119373 2.252 * * [simplify]: Extracting #5: cost 1 inf + 160645 2.286 * * [simplify]: Extracting #6: cost 0 inf + 158412 2.321 * * [simplify]: Extracting #7: cost 0 inf + 158409 2.356 * [simplify]: Simplified to: (expm1 (+ (exp (- x)) (exp x))) (log1p (+ (exp (- x)) (exp x))) (exp (+ (exp (- x)) (exp x))) (log (+ (exp (- x)) (exp x))) (exp (+ (exp (- x)) (exp x))) (* (cbrt (+ (exp (- x)) (exp x))) (cbrt (+ (exp (- x)) (exp x)))) (cbrt (+ (exp (- x)) (exp x))) (* (fma (exp x) (exp x) (fma (/ 1 (exp x)) (/ 1 (exp x)) 2)) (+ (exp x) (/ 1 (exp x)))) (sqrt (+ (exp (- x)) (exp x))) (sqrt (+ (exp (- x)) (exp x))) (+ (* (exp x) (* (exp x) (exp x))) (/ 1 (* (exp x) (* (exp x) (exp x))))) (fma (/ 1 (exp x)) (/ 1 (exp x)) (fma (exp x) (exp x) -1)) (+ (* (exp x) (exp x)) (/ -1 (* (exp x) (exp x)))) (+ (/ -1 (exp x)) (exp x)) (+ (exp (- x)) (exp x)) (+ 2 (fma 1/12 (* (* x x) (* x x)) (* x x))) (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x)) 2.356 * * * [progress]: adding candidates to table 2.427 * * [progress]: iteration 2 / 4 2.427 * * * [progress]: picking best candidate 2.430 * * * * [pick]: Picked # 2.430 * * * [progress]: localizing error 2.442 * * * [progress]: generating rewritten candidates 2.442 * * * [progress]: generating series expansions 2.442 * * * [progress]: simplifying candidates 2.442 * [simplify]: Simplifying: 2.442 * * [simplify]: iteration 0: 0 enodes 2.442 * * [simplify]: iteration complete: 0 enodes 2.442 * * [simplify]: Extracting #0: cost 0 inf + 0 2.442 * [simplify]: Simplified to: 2.442 * * * [progress]: adding candidates to table 2.443 * [progress]: [Phase 3 of 3] Extracting. 2.447 * [simplify]: Simplifying: (/ 2.0 (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))) 2.447 * * [simplify]: iteration 0: 8 enodes 2.448 * * [simplify]: iteration complete: 8 enodes 2.448 * * [simplify]: Extracting #0: cost 1 inf + 0 2.448 * * [simplify]: Extracting #1: cost 3 inf + 0 2.448 * * [simplify]: Extracting #2: cost 4 inf + 1 2.448 * * [simplify]: Extracting #3: cost 6 inf + 1 2.448 * * [simplify]: Extracting #4: cost 7 inf + 1 2.448 * * [simplify]: Extracting #5: cost 0 inf + 929 2.448 * [simplify]: Simplified to: (/ 2.0 (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))) 3.320 * [regime-testing]: Baseline error score: 0.011836442055978152 3.328 * [regime-testing]: Oracle error score: 0.011836442055978152 3.328 * [regime-testing]: End program error score: 0.011836442055978152