38.422 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying: (+ (+ (* x x) y) y) 0.019 * [simplify]: Sending expressions to egg_math: (+ (+ (* h1 h1) h0) h0) 0.047 * * [progress]: iteration 1 / 4 0.047 * * * [progress]: picking best candidate 0.049 * * * * [pick]: Picked # 0.049 * * * [progress]: localizing error 0.057 * * * [progress]: generating rewritten candidates 0.057 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.106 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.114 * * * [progress]: generating series expansions 0.114 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.114 * [backup-simplify]: Simplify (+ (+ (* x x) y) y) into (+ (pow x 2) (* 2 y)) 0.114 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.114 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.114 * [taylor]: Taking taylor expansion of x in y 0.114 * [backup-simplify]: Simplify x into x 0.114 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.114 * [taylor]: Taking taylor expansion of 2 in y 0.114 * [backup-simplify]: Simplify 2 into 2 0.114 * [taylor]: Taking taylor expansion of y in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.115 * [taylor]: Taking taylor expansion of 2 in x 0.115 * [backup-simplify]: Simplify 2 into 2 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [backup-simplify]: Simplify y into y 0.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.115 * [taylor]: Taking taylor expansion of 2 in x 0.115 * [backup-simplify]: Simplify 2 into 2 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [backup-simplify]: Simplify y into y 0.115 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.115 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.115 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.115 * [taylor]: Taking taylor expansion of 2 in y 0.115 * [backup-simplify]: Simplify 2 into 2 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (* 2 0) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.117 * [backup-simplify]: Simplify 2 into 2 0.117 * [backup-simplify]: Simplify (* 1 1) into 1 0.118 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.118 * [backup-simplify]: Simplify (+ 1 0) into 1 0.118 * [taylor]: Taking taylor expansion of 1 in y 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.120 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 0.121 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.121 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [backup-simplify]: Simplify x into x 0.121 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.122 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.122 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.122 * [taylor]: Taking taylor expansion of 2 in y 0.122 * [backup-simplify]: Simplify 2 into 2 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (* 1 1) into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.123 * [taylor]: Taking taylor expansion of 2 in x 0.123 * [backup-simplify]: Simplify 2 into 2 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [backup-simplify]: Simplify y into y 0.123 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [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 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.124 * [taylor]: Taking taylor expansion of 2 in x 0.124 * [backup-simplify]: Simplify 2 into 2 0.124 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.124 * [backup-simplify]: Simplify y into y 0.124 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.125 * [backup-simplify]: Simplify (+ 1 0) into 1 0.125 * [taylor]: Taking taylor expansion of 1 in y 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.129 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.129 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.129 * [taylor]: Taking taylor expansion of 2 in y 0.129 * [backup-simplify]: Simplify 2 into 2 0.129 * [taylor]: Taking taylor expansion of (/ 1 y) 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 0.130 * [backup-simplify]: Simplify (/ 1 1) into 1 0.130 * [backup-simplify]: Simplify (* 2 1) into 2 0.130 * [backup-simplify]: Simplify 2 into 2 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.133 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.138 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 0.140 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.140 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.140 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.140 * [taylor]: Taking taylor expansion of x in y 0.140 * [backup-simplify]: Simplify x into x 0.140 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.140 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.140 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.140 * [taylor]: Taking taylor expansion of 2 in y 0.140 * [backup-simplify]: Simplify 2 into 2 0.140 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (* 1 1) into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.142 * [taylor]: Taking taylor expansion of 2 in x 0.142 * [backup-simplify]: Simplify 2 into 2 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [backup-simplify]: Simplify y into y 0.142 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.142 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (* 1 1) into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.143 * [taylor]: Taking taylor expansion of 2 in x 0.143 * [backup-simplify]: Simplify 2 into 2 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [backup-simplify]: Simplify y into y 0.143 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.144 * [backup-simplify]: Simplify (+ 1 0) into 1 0.144 * [taylor]: Taking taylor expansion of 1 in y 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) 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 1 into 1 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.148 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 0.148 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 0.148 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.148 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.148 * [taylor]: Taking taylor expansion of 2 in y 0.148 * [backup-simplify]: Simplify 2 into 2 0.148 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [backup-simplify]: Simplify (* 2 1) into 2 0.150 * [backup-simplify]: Simplify (- 2) into -2 0.150 * [backup-simplify]: Simplify -2 into -2 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.153 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.153 * [backup-simplify]: Simplify (- 0) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify 0 into 0 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 0) (* 0 1))))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.159 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.159 * [backup-simplify]: Simplify (- 0) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 0.160 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.160 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.160 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.160 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.160 * [taylor]: Taking taylor expansion of x in y 0.160 * [backup-simplify]: Simplify x into x 0.160 * [taylor]: Taking taylor expansion of y in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 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 y in x 0.161 * [backup-simplify]: Simplify y into y 0.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 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 y in x 0.161 * [backup-simplify]: Simplify y into y 0.161 * [backup-simplify]: Simplify (+ 0 y) into 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 0 into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (* 1 1) into 1 0.162 * [backup-simplify]: Simplify (+ 1 0) into 1 0.162 * [taylor]: Taking taylor expansion of 1 in y 0.162 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.164 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.164 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.164 * [taylor]: Taking taylor expansion of x in y 0.164 * [backup-simplify]: Simplify x into x 0.165 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.165 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.165 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (/ 1 1) into 1 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (* 1 1) into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [backup-simplify]: Simplify y into y 0.166 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.167 * [backup-simplify]: Simplify (/ 1 1) into 1 0.167 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.167 * [backup-simplify]: Simplify y into y 0.167 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.168 * [backup-simplify]: Simplify (+ 1 0) into 1 0.168 * [taylor]: Taking taylor expansion of 1 in y 0.168 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [taylor]: Taking taylor expansion of 0 in y 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.172 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.179 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.179 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.179 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.179 * [taylor]: Taking taylor expansion of x in y 0.179 * [backup-simplify]: Simplify x into x 0.179 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.180 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (* 1 1) into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [backup-simplify]: Simplify y into y 0.181 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.181 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (* 1 1) into 1 0.182 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [backup-simplify]: Simplify y into y 0.183 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.183 * [backup-simplify]: Simplify (+ 1 0) into 1 0.183 * [taylor]: Taking taylor expansion of 1 in y 0.183 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.188 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.188 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 y) 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 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [backup-simplify]: Simplify (- 1) into -1 0.188 * [backup-simplify]: Simplify -1 into -1 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.191 * [backup-simplify]: Simplify (- 0) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.196 * [backup-simplify]: Simplify (- 0) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.197 * * * [progress]: simplifying candidates 0.198 * [simplify]: Simplifying: (* (* (exp (* x x)) (exp y)) (exp y)) (* (exp (+ (* x x) y)) (exp y)) (log (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (* (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))) (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)) (- (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ y y) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.198 * [simplify]: Sending expressions to egg_math: (* (* (exp (* h1 h1)) (exp h0)) (exp h0)) (* (exp (+ (* h1 h1) h0)) (exp h0)) (log (+ (+ (* h1 h1) h0) h0)) (exp (+ (+ (* h1 h1) h0) h0)) (* (cbrt (+ (+ (* h1 h1) h0) h0)) (cbrt (+ (+ (* h1 h1) h0) h0))) (cbrt (+ (+ (* h1 h1) h0) h0)) (* (* (+ (+ (* h1 h1) h0) h0) (+ (+ (* h1 h1) h0) h0)) (+ (+ (* h1 h1) h0) h0)) (sqrt (+ (+ (* h1 h1) h0) h0)) (sqrt (+ (+ (* h1 h1) h0) h0)) (+ (pow (+ (* h1 h1) h0) 3) (pow h0 3)) (+ (* (+ (* h1 h1) h0) (+ (* h1 h1) h0)) (- (* h0 h0) (* (+ (* h1 h1) h0) h0))) (- (* (+ (* h1 h1) h0) (+ (* h1 h1) h0)) (* h0 h0)) (- (+ (* h1 h1) h0) h0) (+ (+ (* h1 h1) h0) h0) (+ h0 h0) (* (exp (* h1 h1)) (exp h0)) (log (+ (* h1 h1) h0)) (exp (+ (* h1 h1) h0)) (* (cbrt (+ (* h1 h1) h0)) (cbrt (+ (* h1 h1) h0))) (cbrt (+ (* h1 h1) h0)) (* (* (+ (* h1 h1) h0) (+ (* h1 h1) h0)) (+ (* h1 h1) h0)) (sqrt (+ (* h1 h1) h0)) (sqrt (+ (* h1 h1) h0)) (+ (pow (* h1 h1) 3) (pow h0 3)) (+ (* (* h1 h1) (* h1 h1)) (- (* h0 h0) (* (* h1 h1) h0))) (- (* (* h1 h1) (* h1 h1)) (* h0 h0)) (- (* h1 h1) h0) (+ (pow h1 2) (* 2 h0)) (+ (pow h1 2) (* 2 h0)) (+ (pow h1 2) (* 2 h0)) (+ (pow h1 2) h0) (+ (pow h1 2) h0) (+ (pow h1 2) h0) 0.971 * * * [progress]: adding candidates to table 1.051 * * [progress]: iteration 2 / 4 1.051 * * * [progress]: picking best candidate 1.053 * * * * [pick]: Picked # 1.053 * * * [progress]: localizing error 1.063 * * * [progress]: generating rewritten candidates 1.063 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.105 * * * [progress]: generating series expansions 1.105 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.105 * [backup-simplify]: Simplify (+ (* x x) (+ y y)) into (+ (pow x 2) (* 2 y)) 1.105 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 1.105 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 1.105 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.105 * [taylor]: Taking taylor expansion of x in y 1.105 * [backup-simplify]: Simplify x into x 1.105 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.105 * [taylor]: Taking taylor expansion of 2 in y 1.105 * [backup-simplify]: Simplify 2 into 2 1.105 * [taylor]: Taking taylor expansion of y in y 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 1.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [taylor]: Taking taylor expansion of (* 2 y) in x 1.106 * [taylor]: Taking taylor expansion of 2 in x 1.106 * [backup-simplify]: Simplify 2 into 2 1.106 * [taylor]: Taking taylor expansion of y in x 1.106 * [backup-simplify]: Simplify y into y 1.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 1.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify 1 into 1 1.106 * [taylor]: Taking taylor expansion of (* 2 y) in x 1.106 * [taylor]: Taking taylor expansion of 2 in x 1.106 * [backup-simplify]: Simplify 2 into 2 1.106 * [taylor]: Taking taylor expansion of y in x 1.106 * [backup-simplify]: Simplify y into y 1.106 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 1.106 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 1.106 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.106 * [taylor]: Taking taylor expansion of 2 in y 1.106 * [backup-simplify]: Simplify 2 into 2 1.106 * [taylor]: Taking taylor expansion of y in y 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify 1 into 1 1.107 * [backup-simplify]: Simplify (* 2 0) into 0 1.107 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 1.108 * [backup-simplify]: Simplify (+ 0 0) into 0 1.108 * [taylor]: Taking taylor expansion of 0 in y 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.109 * [backup-simplify]: Simplify 2 into 2 1.109 * [backup-simplify]: Simplify (* 1 1) into 1 1.109 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 1.110 * [backup-simplify]: Simplify (+ 1 0) into 1 1.110 * [taylor]: Taking taylor expansion of 1 in y 1.110 * [backup-simplify]: Simplify 1 into 1 1.110 * [backup-simplify]: Simplify 1 into 1 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.111 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.112 * [backup-simplify]: Simplify (+ 0 0) into 0 1.112 * [taylor]: Taking taylor expansion of 0 in y 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 1.114 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (+ (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1.114 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 1.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 1.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.114 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.114 * [taylor]: Taking taylor expansion of x in y 1.114 * [backup-simplify]: Simplify x into x 1.114 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.114 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.114 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.114 * [taylor]: Taking taylor expansion of 2 in y 1.114 * [backup-simplify]: Simplify 2 into 2 1.114 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.114 * [taylor]: Taking taylor expansion of y in y 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 1 into 1 1.114 * [backup-simplify]: Simplify (/ 1 1) into 1 1.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify 1 into 1 1.115 * [backup-simplify]: Simplify (* 1 1) into 1 1.115 * [backup-simplify]: Simplify (/ 1 1) into 1 1.115 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.115 * [taylor]: Taking taylor expansion of 2 in x 1.115 * [backup-simplify]: Simplify 2 into 2 1.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.116 * [taylor]: Taking taylor expansion of y in x 1.116 * [backup-simplify]: Simplify y into y 1.116 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify 1 into 1 1.116 * [backup-simplify]: Simplify (* 1 1) into 1 1.116 * [backup-simplify]: Simplify (/ 1 1) into 1 1.117 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.117 * [taylor]: Taking taylor expansion of 2 in x 1.117 * [backup-simplify]: Simplify 2 into 2 1.117 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.117 * [taylor]: Taking taylor expansion of y in x 1.117 * [backup-simplify]: Simplify y into y 1.117 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.117 * [backup-simplify]: Simplify (+ 1 0) into 1 1.117 * [taylor]: Taking taylor expansion of 1 in y 1.117 * [backup-simplify]: Simplify 1 into 1 1.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.119 * [backup-simplify]: Simplify (+ 0 0) into 0 1.119 * [taylor]: Taking taylor expansion of 0 in y 1.119 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify 1 into 1 1.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.120 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 1.120 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 1.120 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.120 * [taylor]: Taking taylor expansion of 2 in y 1.120 * [backup-simplify]: Simplify 2 into 2 1.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.120 * [taylor]: Taking taylor expansion of y in y 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 1 into 1 1.120 * [backup-simplify]: Simplify (/ 1 1) into 1 1.120 * [backup-simplify]: Simplify (* 2 1) into 2 1.120 * [backup-simplify]: Simplify 2 into 2 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.122 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 1.122 * [backup-simplify]: Simplify (+ 0 0) into 0 1.122 * [taylor]: Taking taylor expansion of 0 in y 1.122 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.123 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.125 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.125 * [backup-simplify]: Simplify (+ 0 0) into 0 1.125 * [taylor]: Taking taylor expansion of 0 in y 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 1.126 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1.126 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 1.126 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.126 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.126 * [taylor]: Taking taylor expansion of x in y 1.126 * [backup-simplify]: Simplify x into x 1.126 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.126 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.126 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.126 * [taylor]: Taking taylor expansion of 2 in y 1.126 * [backup-simplify]: Simplify 2 into 2 1.126 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.126 * [taylor]: Taking taylor expansion of y in y 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 1 into 1 1.126 * [backup-simplify]: Simplify (/ 1 1) into 1 1.126 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 1 into 1 1.127 * [backup-simplify]: Simplify (* 1 1) into 1 1.127 * [backup-simplify]: Simplify (/ 1 1) into 1 1.127 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.127 * [taylor]: Taking taylor expansion of 2 in x 1.127 * [backup-simplify]: Simplify 2 into 2 1.127 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.127 * [backup-simplify]: Simplify y into y 1.127 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.127 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify 1 into 1 1.127 * [backup-simplify]: Simplify (* 1 1) into 1 1.127 * [backup-simplify]: Simplify (/ 1 1) into 1 1.127 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.127 * [taylor]: Taking taylor expansion of 2 in x 1.128 * [backup-simplify]: Simplify 2 into 2 1.128 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.128 * [taylor]: Taking taylor expansion of y in x 1.128 * [backup-simplify]: Simplify y into y 1.128 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.128 * [backup-simplify]: Simplify (+ 1 0) into 1 1.128 * [taylor]: Taking taylor expansion of 1 in y 1.128 * [backup-simplify]: Simplify 1 into 1 1.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.129 * [backup-simplify]: Simplify (+ 0 0) into 0 1.129 * [taylor]: Taking taylor expansion of 0 in y 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify 1 into 1 1.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.130 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 1.130 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 1.130 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 1.130 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 1.130 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.130 * [taylor]: Taking taylor expansion of 2 in y 1.131 * [backup-simplify]: Simplify 2 into 2 1.131 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.131 * [taylor]: Taking taylor expansion of y in y 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify 1 into 1 1.131 * [backup-simplify]: Simplify (/ 1 1) into 1 1.131 * [backup-simplify]: Simplify (* 2 1) into 2 1.131 * [backup-simplify]: Simplify (- 2) into -2 1.131 * [backup-simplify]: Simplify -2 into -2 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.133 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 1.133 * [backup-simplify]: Simplify (- 0) into 0 1.133 * [backup-simplify]: Simplify (+ 0 0) into 0 1.133 * [taylor]: Taking taylor expansion of 0 in y 1.133 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.134 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.134 * [backup-simplify]: Simplify (- 0) into 0 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify 0 into 0 1.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.136 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.137 * [backup-simplify]: Simplify (- 0) into 0 1.137 * [backup-simplify]: Simplify (+ 0 0) into 0 1.137 * [taylor]: Taking taylor expansion of 0 in y 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 1.137 * * * [progress]: simplifying candidates 1.137 * [simplify]: Simplifying: (* (exp (* x x)) (* (exp y) (exp y))) (* (exp (* x x)) (exp (+ y y))) (log (+ (* x x) (+ y y))) (exp (+ (* x x) (+ y y))) (* (cbrt (+ (* x x) (+ y y))) (cbrt (+ (* x x) (+ y y)))) (cbrt (+ (* x x) (+ y y))) (* (* (+ (* x x) (+ y y)) (+ (* x x) (+ y y))) (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))) (+ (pow (* x x) 3) (pow (+ y y) 3)) (+ (* (* x x) (* x x)) (- (* (+ y y) (+ y y)) (* (* x x) (+ y y)))) (- (* (* x x) (* x x)) (* (+ y y) (+ y y))) (- (* x x) (+ y y)) (+ (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 1.138 * [simplify]: Sending expressions to egg_math: (* (exp (* h1 h1)) (* (exp h0) (exp h0))) (* (exp (* h1 h1)) (exp (+ h0 h0))) (log (+ (* h1 h1) (+ h0 h0))) (exp (+ (* h1 h1) (+ h0 h0))) (* (cbrt (+ (* h1 h1) (+ h0 h0))) (cbrt (+ (* h1 h1) (+ h0 h0)))) (cbrt (+ (* h1 h1) (+ h0 h0))) (* (* (+ (* h1 h1) (+ h0 h0)) (+ (* h1 h1) (+ h0 h0))) (+ (* h1 h1) (+ h0 h0))) (sqrt (+ (* h1 h1) (+ h0 h0))) (sqrt (+ (* h1 h1) (+ h0 h0))) (+ (pow (* h1 h1) 3) (pow (+ h0 h0) 3)) (+ (* (* h1 h1) (* h1 h1)) (- (* (+ h0 h0) (+ h0 h0)) (* (* h1 h1) (+ h0 h0)))) (- (* (* h1 h1) (* h1 h1)) (* (+ h0 h0) (+ h0 h0))) (- (* h1 h1) (+ h0 h0)) (+ (* h1 h1) h0) (+ (pow h1 2) (* 2 h0)) (+ (pow h1 2) (* 2 h0)) (+ (pow h1 2) (* 2 h0)) 2.108 * * * [progress]: adding candidates to table 2.138 * [progress]: [Phase 3 of 3] Extracting. 2.138 * * [regime]: Finding splitpoints for: (# #) 2.139 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (+ (+ (* x x) y) y) y x) 2.139 * * * * [regimes]: Trying to branch on (* x x) from (# #) 2.157 * * * * [regimes]: Trying to branch on (+ (+ (* x x) y) y) from (# #) 2.168 * * * * [regimes]: Trying to branch on y from (# #) 2.179 * * * * [regimes]: Trying to branch on x from (# #) 2.200 * * * [regime]: Found split indices: #