12.313 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.034 * * * [progress]: [2/2] Setting up program. 0.039 * [progress]: [Phase 2 of 3] Improving. 0.040 * [simplify]: Simplifying: (sqrt (- 1.0 (* x x))) 0.040 * * [simplify]: iteration 0: 5 enodes 0.042 * * [simplify]: iteration 1: 7 enodes 0.044 * * [simplify]: iteration 2: 11 enodes 0.046 * * [simplify]: iteration complete: 11 enodes 0.046 * * [simplify]: Extracting #0: cost 1 inf + 0 0.046 * * [simplify]: Extracting #1: cost 2 inf + 0 0.046 * * [simplify]: Extracting #2: cost 5 inf + 0 0.046 * * [simplify]: Extracting #3: cost 6 inf + 1 0.047 * * [simplify]: Extracting #4: cost 0 inf + 369 0.047 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.048 * * [progress]: iteration 1 / 4 0.048 * * * [progress]: picking best candidate 0.054 * * * * [pick]: Picked # 0.054 * * * [progress]: localizing error 0.067 * * * [progress]: generating rewritten candidates 0.067 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.072 * * * [progress]: generating series expansions 0.072 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.072 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 0.072 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.072 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.072 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [backup-simplify]: Simplify 1.0 into 1.0 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.073 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.074 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.074 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [backup-simplify]: Simplify 1.0 into 1.0 0.074 * [taylor]: Taking taylor expansion of (pow x 2) 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 (+ 1.0 0) into 1.0 0.075 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.076 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (* 1 1) into 1 0.076 * [backup-simplify]: Simplify (- 1) into -1 0.076 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.078 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.079 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.079 * [backup-simplify]: Simplify (- 0) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.082 * [backup-simplify]: Simplify (- 0) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.087 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.089 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ -1/2 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) 0.089 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.089 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.089 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.090 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [backup-simplify]: Simplify 1.0 into 1.0 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (* 1 1) into 1 0.090 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [backup-simplify]: Simplify (- 1) into -1 0.091 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.091 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.093 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.093 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.093 * [taylor]: Taking taylor expansion of 1.0 in x 0.093 * [backup-simplify]: Simplify 1.0 into 1.0 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (* 1 1) into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [backup-simplify]: Simplify (- 1) into -1 0.094 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.095 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.098 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (- 0) into 0 0.101 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.105 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.106 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.121 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.123 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 0.124 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.124 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.124 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.124 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [backup-simplify]: Simplify 1.0 into 1.0 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (* 1 1) into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [backup-simplify]: Simplify (- 1) into -1 0.125 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.125 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- 0) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.127 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [backup-simplify]: Simplify 1.0 into 1.0 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (* 1 1) into 1 0.127 * [backup-simplify]: Simplify (/ 1 1) into 1 0.128 * [backup-simplify]: Simplify (- 1) into -1 0.128 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.128 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (- 0) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.130 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.130 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.142 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.143 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.153 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.156 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 0.156 * * * [progress]: simplifying candidates 0.157 * [simplify]: Simplifying: (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 0.158 * * [simplify]: iteration 0: 67 enodes 0.182 * * [simplify]: iteration 1: 164 enodes 0.300 * * [simplify]: iteration 2: 708 enodes 0.549 * * [simplify]: iteration complete: 5001 enodes 0.549 * * [simplify]: Extracting #0: cost 20 inf + 0 0.549 * * [simplify]: Extracting #1: cost 77 inf + 2 0.551 * * [simplify]: Extracting #2: cost 383 inf + 3 0.558 * * [simplify]: Extracting #3: cost 1924 inf + 1328 0.576 * * [simplify]: Extracting #4: cost 1424 inf + 87706 0.638 * * [simplify]: Extracting #5: cost 367 inf + 250852 0.700 * * [simplify]: Extracting #6: cost 31 inf + 351336 0.761 * * [simplify]: Extracting #7: cost 0 inf + 361642 0.818 * [simplify]: Simplified to: (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (sqrt (- 1.0 (* x x))) (- 1.0 (* x x))) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (* (* 1.0 1.0) 1.0) (* (* x (* x x)) (* x (* x x))))) (sqrt (+ (* (* x x) (* x x)) (* 1.0 (+ 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (sqrt 1.0) (+ (* (/ (* (* x x) (* x x)) (sqrt 1.0)) (/ 1/8 1.0)) (* (/ (* x x) (sqrt 1.0)) 1/2))) (- (+ (/ (/ 0.5 x) (sqrt -1)) (* (sqrt -1) x)) (/ 0.125 (* (* x (* x x)) (* -1 (sqrt -1))))) (- (- (/ 0.125 (* (* x (* x x)) (* -1 (sqrt -1)))) (/ (/ 0.5 x) (sqrt -1))) (* (sqrt -1) x)) 0.819 * * * [progress]: adding candidates to table 0.914 * * [progress]: iteration 2 / 4 0.914 * * * [progress]: picking best candidate 0.919 * * * * [pick]: Picked # 0.919 * * * [progress]: localizing error 0.934 * * * [progress]: generating rewritten candidates 0.934 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 1 2) 0.967 * * * [progress]: generating series expansions 0.967 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 1 2) 0.968 * [backup-simplify]: Simplify (* (* x x) (* x x)) into (pow x 4) 0.968 * [approximate]: Taking taylor expansion of (pow x 4) in (x) around 0 0.968 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.968 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.969 * [backup-simplify]: Simplify (* 1 1) into 1 0.969 * [backup-simplify]: Simplify (* 1 1) into 1 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.971 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.974 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.976 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify (* 1 (pow x 4)) into (pow x 4) 0.978 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) into (/ 1 (pow x 4)) 0.978 * [approximate]: Taking taylor expansion of (/ 1 (pow x 4)) in (x) around 0 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.978 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify 1 into 1 0.978 * [backup-simplify]: Simplify (* 1 1) into 1 0.979 * [backup-simplify]: Simplify (* 1 1) into 1 0.979 * [backup-simplify]: Simplify (/ 1 1) into 1 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.979 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 1 into 1 0.979 * [backup-simplify]: Simplify (* 1 1) into 1 0.980 * [backup-simplify]: Simplify (* 1 1) into 1 0.980 * [backup-simplify]: Simplify (/ 1 1) into 1 0.980 * [backup-simplify]: Simplify 1 into 1 0.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.981 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.983 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.985 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.989 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 x)) 4)) into (pow x 4) 0.992 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) into (/ 1 (pow x 4)) 0.992 * [approximate]: Taking taylor expansion of (/ 1 (pow x 4)) in (x) around 0 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.992 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify 1 into 1 0.992 * [backup-simplify]: Simplify (* 1 1) into 1 0.993 * [backup-simplify]: Simplify (* 1 1) into 1 0.993 * [backup-simplify]: Simplify (/ 1 1) into 1 0.993 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.993 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify 1 into 1 0.993 * [backup-simplify]: Simplify (* 1 1) into 1 0.994 * [backup-simplify]: Simplify (* 1 1) into 1 0.994 * [backup-simplify]: Simplify (/ 1 1) into 1 0.994 * [backup-simplify]: Simplify 1 into 1 0.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.995 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.997 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.999 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.001 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.003 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 (- x))) 4)) into (pow x 4) 1.006 * * * [progress]: simplifying candidates 1.008 * [simplify]: Simplifying: (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ 1 1) (+ 1 1) (+ 2 (+ 1 1)) (+ 2 2) (+ 2 (+ 1 1)) (+ 2 (* 2 1)) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ 1 1) (+ 1 1) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) 2) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) (* 2 1)) (* x x) (* x x) (* (* x x) (* x x)) (* (* x x) (* x x)) (* x x) (* x x) (* x x) (* (* x x) (* x x)) (* (* x x) (* x x)) (* x x) (+ 1 1) (+ 1 1) (+ (+ (log x) (log x)) (+ (log x) (log x))) (+ (+ (log x) (log x)) (log (* x x))) (+ (log (* x x)) (+ (log x) (log x))) (+ (log (* x x)) (log (* x x))) (log (* (* x x) (* x x))) (exp (* (* x x) (* x x))) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x))) (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (* (* x x) (* x x))) (cbrt (* (* x x) (* x x)))) (cbrt (* (* x x) (* x x))) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x))) (sqrt (* (* x x) (* x x))) (sqrt (* (* x x) (* x x))) (* x x) (* x x) (* x x) (* x x) (* 2 (+ 1 1)) (* 2 (+ 1 1)) (* 2 1) (* 2 1) (* 2 2) (* 2 (+ 1 1)) (* 2 (+ 1 1)) (* 2 1) (* 2 1) (* 2 (* 2 1)) (* (* x x) x) (* x (* x x)) (pow x 4) (pow x 4) (pow x 4) 1.008 * * [simplify]: iteration 0: 43 enodes 1.034 * * [simplify]: iteration 1: 121 enodes 1.058 * * [simplify]: iteration 2: 392 enodes 2.036 * * [simplify]: iteration 3: 3549 enodes 4.919 * * [simplify]: iteration complete: 5000 enodes 4.919 * * [simplify]: Extracting #0: cost 11 inf + 0 4.920 * * [simplify]: Extracting #1: cost 516 inf + 2 4.925 * * [simplify]: Extracting #2: cost 1335 inf + 18433 4.960 * * [simplify]: Extracting #3: cost 542 inf + 172961 5.016 * * [simplify]: Extracting #4: cost 7 inf + 194743 5.059 * * [simplify]: Extracting #5: cost 0 inf + 195607 5.102 * [simplify]: Simplified to: 4 4 4 4 2 2 4 4 4 4 4 4 4 4 2 2 4 4 4 4 (* x x) (* x x) (* (* x x) (* x x)) (* (* x x) (* x x)) (* x x) (* x x) (* x x) (* (* x x) (* x x)) (* (* x x) (* x x)) (* x x) 2 2 (* 4 (log x)) (* 4 (log x)) (* 4 (log x)) (* 4 (log x)) (* 4 (log x)) (exp (* (* x x) (* x x))) (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x)))) (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x)))) (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x)))) (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x)))) (* (cbrt (* (* x x) (* x x))) (cbrt (* (* x x) (* x x)))) (cbrt (* (* x x) (* x x))) (* (* (* x (* x x)) (* x (* x x))) (* (* x (* x x)) (* x (* x x)))) (fabs (* x x)) (fabs (* x x)) (* x x) (* x x) (* x x) (* x x) 4 4 2 2 4 4 4 2 2 4 (* x (* x x)) (* x (* x x)) (* (* x x) (* x x)) (* (* x x) (* x x)) (* (* x x) (* x x)) 5.106 * * * [progress]: adding candidates to table 5.220 * [progress]: [Phase 3 of 3] Extracting. 5.227 * [simplify]: Simplifying: (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x)))) 5.227 * * [simplify]: iteration 0: 10 enodes 5.229 * * [simplify]: iteration 1: 11 enodes 5.230 * * [simplify]: iteration complete: 11 enodes 5.231 * * [simplify]: Extracting #0: cost 1 inf + 0 5.231 * * [simplify]: Extracting #1: cost 3 inf + 0 5.231 * * [simplify]: Extracting #2: cost 5 inf + 0 5.231 * * [simplify]: Extracting #3: cost 9 inf + 0 5.231 * * [simplify]: Extracting #4: cost 9 inf + 1 5.231 * * [simplify]: Extracting #5: cost 0 inf + 1055 5.231 * [simplify]: Simplified to: (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ (* x x) 1.0))) 6.540 * [regime-testing]: Baseline error score: 0.011959217164367044 6.549 * [regime-testing]: Oracle error score: 0.011959217164367044 6.549 * [regime-testing]: End program error score: 0.011959217164367044