21.141 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying: (exp (* (* x y) y)) 0.021 * [simplify]: Sending expressions to egg_math: (exp (* (* h1 h0) h0)) 0.084 * * [progress]: iteration 1 / 4 0.084 * * * [progress]: picking best candidate 0.086 * * * * [pick]: Picked # 0.086 * * * [progress]: localizing error 0.092 * * * [progress]: generating rewritten candidates 0.092 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.117 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.127 * * * [progress]: generating series expansions 0.127 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.127 * [backup-simplify]: Simplify (* (* x y) y) into (* x (pow y 2)) 0.127 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.127 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.127 * [taylor]: Taking taylor expansion of x in y 0.127 * [backup-simplify]: Simplify x into x 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [taylor]: Taking taylor expansion of (* x (pow y 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 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [backup-simplify]: Simplify y into y 0.127 * [taylor]: Taking taylor expansion of (* x (pow y 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 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [backup-simplify]: Simplify y into y 0.128 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.128 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.128 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.130 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.132 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 0.132 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ 1 (* x (pow y 2))) 0.132 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.132 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.132 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [backup-simplify]: Simplify x into x 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (* 1 1) into 1 0.132 * [backup-simplify]: Simplify (* x 1) into x 0.132 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.132 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.132 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [backup-simplify]: Simplify y into y 0.133 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.133 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.133 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.133 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.133 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.133 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.133 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [backup-simplify]: Simplify y into y 0.133 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.134 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.134 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.134 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.134 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (* 1 1) into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.141 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.146 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 0.147 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ -1 (* x (pow y 2))) 0.147 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.147 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.147 * [taylor]: Taking taylor expansion of -1 in y 0.147 * [backup-simplify]: Simplify -1 into -1 0.147 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.147 * [taylor]: Taking taylor expansion of x in y 0.147 * [backup-simplify]: Simplify x into x 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (* 1 1) into 1 0.147 * [backup-simplify]: Simplify (* x 1) into x 0.147 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.147 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.147 * [taylor]: Taking taylor expansion of -1 in x 0.147 * [backup-simplify]: Simplify -1 into -1 0.147 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [backup-simplify]: Simplify y into y 0.147 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.148 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.148 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.148 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.148 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 0.148 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.148 * [taylor]: Taking taylor expansion of -1 in x 0.148 * [backup-simplify]: Simplify -1 into -1 0.148 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [backup-simplify]: Simplify y into y 0.148 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.148 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.148 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.149 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.149 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 0.149 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.149 * [taylor]: Taking taylor expansion of -1 in y 0.149 * [backup-simplify]: Simplify -1 into -1 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (* 1 1) into 1 0.150 * [backup-simplify]: Simplify (/ -1 1) into -1 0.150 * [backup-simplify]: Simplify -1 into -1 0.150 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.150 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.151 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.153 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.153 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.153 * [taylor]: Taking taylor expansion of 0 in y 0.153 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.156 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.156 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.160 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 0.160 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 0.161 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.161 * [backup-simplify]: Simplify (exp (* (* x y) y)) into (exp (* x (pow y 2))) 0.161 * [approximate]: Taking taylor expansion of (exp (* x (pow y 2))) in (x y) around 0 0.161 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.161 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.161 * [taylor]: Taking taylor expansion of x in y 0.161 * [backup-simplify]: Simplify x into x 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (* 1 1) into 1 0.161 * [backup-simplify]: Simplify (* x 1) into x 0.161 * [backup-simplify]: Simplify (exp 0) into 1 0.161 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.161 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [backup-simplify]: Simplify y into y 0.161 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.162 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.162 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.162 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.162 * [backup-simplify]: Simplify (exp 0) into 1 0.162 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.162 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.162 * [backup-simplify]: Simplify y into y 0.162 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.162 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.162 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.163 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.163 * [backup-simplify]: Simplify (exp 0) into 1 0.163 * [taylor]: Taking taylor expansion of 1 in y 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 1) 1)))) into (pow y 2) 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.164 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.164 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow y 4)) 0.164 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 4)) in y 0.165 * [taylor]: Taking taylor expansion of 1/2 in y 0.165 * [backup-simplify]: Simplify 1/2 into 1/2 0.165 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.166 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.167 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 3) 6)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow y 6)) 0.167 * [taylor]: Taking taylor expansion of (* 1/6 (pow y 6)) in y 0.167 * [taylor]: Taking taylor expansion of 1/6 in y 0.167 * [backup-simplify]: Simplify 1/6 into 1/6 0.167 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.169 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.171 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 4) 24)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow y 8)) 0.171 * [taylor]: Taking taylor expansion of (* 1/24 (pow y 8)) in y 0.171 * [taylor]: Taking taylor expansion of 1/24 in y 0.171 * [backup-simplify]: Simplify 1/24 into 1/24 0.171 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.174 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 0.177 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 5) 120)) (* (/ (pow (pow y 2) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow y 10)) 0.177 * [taylor]: Taking taylor expansion of (* 1/120 (pow y 10)) in y 0.177 * [taylor]: Taking taylor expansion of 1/120 in y 0.177 * [backup-simplify]: Simplify 1/120 into 1/120 0.177 * [taylor]: Taking taylor expansion of (pow y 10) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))))) into 0 0.180 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))))) into 0 0.184 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 6) 720)) (* (/ (pow (pow y 2) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 2) 2)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow y 12)) 0.184 * [taylor]: Taking taylor expansion of (* 1/720 (pow y 12)) in y 0.184 * [taylor]: Taking taylor expansion of 1/720 in y 0.184 * [backup-simplify]: Simplify 1/720 into 1/720 0.184 * [taylor]: Taking taylor expansion of (pow y 12) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (* 1 1) into 1 0.185 * [backup-simplify]: Simplify (* 1 1) into 1 0.185 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.185 * [backup-simplify]: Simplify 1/2 into 1/2 0.186 * [backup-simplify]: Simplify (+ (* 1/2 (pow (* (pow y 2) x) 2)) (+ (* 1 (* (pow y 2) x)) 1)) into (+ (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) 1)) 0.186 * [backup-simplify]: Simplify (exp (* (* (/ 1 x) (/ 1 y)) (/ 1 y))) into (exp (/ 1 (* x (pow y 2)))) 0.186 * [approximate]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in (x y) around 0 0.186 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.186 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.186 * [taylor]: Taking taylor expansion of x in y 0.186 * [backup-simplify]: Simplify x into x 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (* 1 1) into 1 0.186 * [backup-simplify]: Simplify (* x 1) into x 0.186 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.186 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 0.186 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.186 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [backup-simplify]: Simplify y into y 0.187 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.187 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.187 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.187 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.187 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.187 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 0.187 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.187 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [backup-simplify]: Simplify y into y 0.187 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.188 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.188 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.188 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.188 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.188 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 0.188 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.188 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.188 * [backup-simplify]: Simplify x into x 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (* 1 1) into 1 0.189 * [backup-simplify]: Simplify (* x 1) into x 0.189 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.189 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 0.189 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify (exp (/ 1 (* (/ 1 x) (pow (/ 1 y) 2)))) into (exp (* x (pow y 2))) 0.189 * [backup-simplify]: Simplify (exp (* (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) into (exp (/ -1 (* x (pow y 2)))) 0.189 * [approximate]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in (x y) around 0 0.190 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.190 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.190 * [taylor]: Taking taylor expansion of -1 in y 0.190 * [backup-simplify]: Simplify -1 into -1 0.190 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.190 * [taylor]: Taking taylor expansion of x in y 0.190 * [backup-simplify]: Simplify x into x 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (* 1 1) into 1 0.190 * [backup-simplify]: Simplify (* x 1) into x 0.190 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.190 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 0.190 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.190 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.190 * [taylor]: Taking taylor expansion of -1 in x 0.190 * [backup-simplify]: Simplify -1 into -1 0.190 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [backup-simplify]: Simplify y into y 0.190 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.190 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.191 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.191 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.191 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 0.191 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 0.191 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.191 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.191 * [taylor]: Taking taylor expansion of -1 in x 0.191 * [backup-simplify]: Simplify -1 into -1 0.191 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [backup-simplify]: Simplify y into y 0.191 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.191 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.191 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.192 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.192 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 0.192 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 0.192 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.192 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.192 * [taylor]: Taking taylor expansion of -1 in y 0.192 * [backup-simplify]: Simplify -1 into -1 0.192 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.192 * [taylor]: Taking taylor expansion of x in y 0.192 * [backup-simplify]: Simplify x into x 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (* 1 1) into 1 0.192 * [backup-simplify]: Simplify (* x 1) into x 0.192 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.193 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 0.193 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (exp (/ -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) 2)))) into (exp (* x (pow y 2))) 0.193 * * * [progress]: simplifying candidates 0.194 * [simplify]: Simplifying: (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (exp (* x y)) (log (exp (* (* x y) y))) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (* (* (exp (* (* x y) y)) (exp (* (* x y) y))) (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (+ (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) 0.194 * [simplify]: Sending expressions to egg_math: (* (* h1 h0) h0) (* (* h1 h0) h0) (+ (+ (log h1) (log h0)) (log h0)) (+ (log (* h1 h0)) (log h0)) (log (* (* h1 h0) h0)) (exp (* (* h1 h0) h0)) (* (* (* (* h1 h1) h1) (* (* h0 h0) h0)) (* (* h0 h0) h0)) (* (* (* (* h1 h0) (* h1 h0)) (* h1 h0)) (* (* h0 h0) h0)) (* (cbrt (* (* h1 h0) h0)) (cbrt (* (* h1 h0) h0))) (cbrt (* (* h1 h0) h0)) (* (* (* (* h1 h0) h0) (* (* h1 h0) h0)) (* (* h1 h0) h0)) (sqrt (* (* h1 h0) h0)) (sqrt (* (* h1 h0) h0)) (* (* h1 h0) (* (cbrt h0) (cbrt h0))) (* (* h1 h0) (sqrt h0)) (* (* h1 h0) 1) (* h0 h0) (exp (* h1 h0)) (log (exp (* (* h1 h0) h0))) (exp (exp (* (* h1 h0) h0))) (* (cbrt (exp (* (* h1 h0) h0))) (cbrt (exp (* (* h1 h0) h0)))) (cbrt (exp (* (* h1 h0) h0))) (* (* (exp (* (* h1 h0) h0)) (exp (* (* h1 h0) h0))) (exp (* (* h1 h0) h0))) (sqrt (exp (* (* h1 h0) h0))) (sqrt (exp (* (* h1 h0) h0))) (* h1 (pow h0 2)) (* h1 (pow h0 2)) (* h1 (pow h0 2)) (+ (* h1 (pow h0 2)) (+ (* 1/2 (* (pow h1 2) (pow h0 4))) 1)) (exp (* h1 (pow h0 2))) (exp (* h1 (pow h0 2))) 0.283 * * * [progress]: adding candidates to table 0.335 * [progress]: [Phase 3 of 3] Extracting. 0.337 * [simplify]: Simplifying: (exp (* (* x y) y)) 0.337 * [simplify]: Sending expressions to egg_math: (exp (* (* h1 h0) h0)) 1.010 * [regime-testing]: Baseline error score: 0.009236272692812275 1.013 * [regime-testing]: Oracle error score: 0.009236272692812275 1.013 * [regime-testing]: End program error score: 0.009236272692812275