128.905 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying: (/ (+ x y) (+ y y)) 0.017 * [simplify]: Sending expressions to egg_math: (/ (+ h1 h0) (+ h0 h0)) 0.043 * * [progress]: iteration 1 / 4 0.043 * * * [progress]: picking best candidate 0.045 * * * * [pick]: Picked # 0.045 * * * [progress]: localizing error 0.055 * * * [progress]: generating rewritten candidates 0.055 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.125 * * * [progress]: generating series expansions 0.125 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.125 * [backup-simplify]: Simplify (/ (+ x y) (+ y y)) into (* 1/2 (/ (+ x y) y)) 0.125 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.125 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.125 * [taylor]: Taking taylor expansion of 1/2 in y 0.125 * [backup-simplify]: Simplify 1/2 into 1/2 0.125 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.125 * [taylor]: Taking taylor expansion of (+ x y) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.126 * [backup-simplify]: Simplify x into x 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (+ x 0) into x 0.126 * [backup-simplify]: Simplify (/ x 1) into x 0.126 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.126 * [taylor]: Taking taylor expansion of 1/2 in x 0.126 * [backup-simplify]: Simplify 1/2 into 1/2 0.126 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.126 * [taylor]: Taking taylor expansion of (+ x y) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [backup-simplify]: Simplify y into y 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [backup-simplify]: Simplify y into y 0.126 * [backup-simplify]: Simplify (+ 0 y) into y 0.126 * [backup-simplify]: Simplify (/ y y) into 1 0.126 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.126 * [taylor]: Taking taylor expansion of 1/2 in x 0.126 * [backup-simplify]: Simplify 1/2 into 1/2 0.126 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.126 * [taylor]: Taking taylor expansion of (+ x y) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [backup-simplify]: Simplify y into y 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [backup-simplify]: Simplify y into y 0.126 * [backup-simplify]: Simplify (+ 0 y) into y 0.126 * [backup-simplify]: Simplify (/ y y) into 1 0.127 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.127 * [taylor]: Taking taylor expansion of 1/2 in y 0.127 * [backup-simplify]: Simplify 1/2 into 1/2 0.128 * [backup-simplify]: Simplify (+ 1 0) into 1 0.128 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.128 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y)) 0.128 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.128 * [taylor]: Taking taylor expansion of 1/2 in y 0.128 * [backup-simplify]: Simplify 1/2 into 1/2 0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.129 * [backup-simplify]: Simplify 1/2 into 1/2 0.129 * [backup-simplify]: Simplify 1/2 into 1/2 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) 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 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 0.135 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 y))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 0.135 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.135 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.135 * [taylor]: Taking taylor expansion of 1/2 in y 0.135 * [backup-simplify]: Simplify 1/2 into 1/2 0.135 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.136 * [taylor]: Taking taylor expansion of x in y 0.136 * [backup-simplify]: Simplify x into x 0.136 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.136 * [taylor]: Taking taylor expansion of y in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.136 * [taylor]: Taking taylor expansion of 1/2 in x 0.136 * [backup-simplify]: Simplify 1/2 into 1/2 0.136 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [backup-simplify]: Simplify y into y 0.136 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [backup-simplify]: Simplify y into y 0.136 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.136 * [taylor]: Taking taylor expansion of 1/2 in x 0.136 * [backup-simplify]: Simplify 1/2 into 1/2 0.136 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [backup-simplify]: Simplify y into y 0.136 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [backup-simplify]: Simplify y into y 0.137 * [backup-simplify]: Simplify (+ 0 1) into 1 0.137 * [backup-simplify]: Simplify (* 1 y) into y 0.137 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.137 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.137 * [taylor]: Taking taylor expansion of 1/2 in y 0.137 * [backup-simplify]: Simplify 1/2 into 1/2 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.138 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.138 * [taylor]: Taking taylor expansion of 1/2 in y 0.138 * [backup-simplify]: Simplify 1/2 into 1/2 0.139 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1/2 into 1/2 0.141 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.141 * [backup-simplify]: Simplify 1/2 into 1/2 0.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) 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 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.147 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 0.147 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.147 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.147 * [taylor]: Taking taylor expansion of 1/2 in y 0.147 * [backup-simplify]: Simplify 1/2 into 1/2 0.147 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.147 * [taylor]: Taking taylor expansion of (/ 1 y) 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 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.147 * [taylor]: Taking taylor expansion of x in y 0.147 * [backup-simplify]: Simplify x into x 0.147 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 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 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.147 * [taylor]: Taking taylor expansion of 1/2 in x 0.147 * [backup-simplify]: Simplify 1/2 into 1/2 0.147 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (/ 1 y) into (/ 1 y) 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [backup-simplify]: Simplify y into y 0.148 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.148 * [taylor]: Taking taylor expansion of 1/2 in x 0.148 * [backup-simplify]: Simplify 1/2 into 1/2 0.148 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (/ 1 y) into (/ 1 y) 0.148 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [backup-simplify]: Simplify y into y 0.148 * [backup-simplify]: Simplify (+ 0 1) into 1 0.149 * [backup-simplify]: Simplify (* 1 y) into y 0.149 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.149 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.149 * [taylor]: Taking taylor expansion of 1/2 in y 0.149 * [backup-simplify]: Simplify 1/2 into 1/2 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 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.150 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.150 * [taylor]: Taking taylor expansion of 1/2 in y 0.150 * [backup-simplify]: Simplify 1/2 into 1/2 0.150 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1/2 into 1/2 0.153 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.153 * [backup-simplify]: Simplify 1/2 into 1/2 0.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.159 * * * [progress]: simplifying candidates 0.160 * [simplify]: Simplifying: (- (log (+ x y)) (log (+ y y))) (log (/ (+ x y) (+ y y))) (exp (/ (+ x y) (+ y y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ y y) (+ y y)) (+ y y))) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (- (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt y)) (/ (cbrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) (+ 1 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (+ y y)) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (/ (+ x y) 1) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (/ (+ x y) 1) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) (+ 1 1)) (/ (+ x y) (+ 1 1)) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow y 3))) (/ (+ x y) (- (* y y) (* y y))) (* (+ y y) (+ (* x x) (- (* y y) (* x y)))) (* (+ y y) (- x y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 0.160 * [simplify]: Sending expressions to egg_math: (- (log (+ h1 h0)) (log (+ h0 h0))) (log (/ (+ h1 h0) (+ h0 h0))) (exp (/ (+ h1 h0) (+ h0 h0))) (/ (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0)) (* (* (+ h0 h0) (+ h0 h0)) (+ h0 h0))) (* (cbrt (/ (+ h1 h0) (+ h0 h0))) (cbrt (/ (+ h1 h0) (+ h0 h0)))) (cbrt (/ (+ h1 h0) (+ h0 h0))) (* (* (/ (+ h1 h0) (+ h0 h0)) (/ (+ h1 h0) (+ h0 h0))) (/ (+ h1 h0) (+ h0 h0))) (sqrt (/ (+ h1 h0) (+ h0 h0))) (sqrt (/ (+ h1 h0) (+ h0 h0))) (- (+ h1 h0)) (- (+ h0 h0)) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (+ h0 h0)) (cbrt (+ h0 h0)))) (/ (cbrt (+ h1 h0)) (cbrt (+ h0 h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (sqrt (+ h0 h0))) (/ (cbrt (+ h1 h0)) (sqrt (+ h0 h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 1) (/ (cbrt (+ h1 h0)) (+ h0 h0)) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (+ h1 h0)) (+ (cbrt h0) (cbrt h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (sqrt h0)) (/ (cbrt (+ h1 h0)) (+ (sqrt h0) (sqrt h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 1) (/ (cbrt (+ h1 h0)) (+ h0 h0)) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (cbrt h0)) (/ (cbrt (+ h1 h0)) (+ (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (cbrt h0)))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (sqrt h0)) (/ (cbrt (+ h1 h0)) (+ (sqrt h0) (sqrt h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) h0) (/ (cbrt (+ h1 h0)) (+ 1 1)) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (+ 1 1)) (/ (cbrt (+ h1 h0)) h0) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (+ 1 1)) (/ (cbrt (+ h1 h0)) h0) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 2) (/ (cbrt (+ h1 h0)) h0) (/ (sqrt (+ h1 h0)) (* (cbrt (+ h0 h0)) (cbrt (+ h0 h0)))) (/ (sqrt (+ h1 h0)) (cbrt (+ h0 h0))) (/ (sqrt (+ h1 h0)) (sqrt (+ h0 h0))) (/ (sqrt (+ h1 h0)) (sqrt (+ h0 h0))) (/ (sqrt (+ h1 h0)) 1) (/ (sqrt (+ h1 h0)) (+ h0 h0)) (/ (sqrt (+ h1 h0)) (* (cbrt h0) (cbrt h0))) (/ (sqrt (+ h1 h0)) (+ (cbrt h0) (cbrt h0))) (/ (sqrt (+ h1 h0)) (sqrt h0)) (/ (sqrt (+ h1 h0)) (+ (sqrt h0) (sqrt h0))) (/ (sqrt (+ h1 h0)) 1) (/ (sqrt (+ h1 h0)) (+ h0 h0)) (/ (sqrt (+ h1 h0)) (cbrt h0)) (/ (sqrt (+ h1 h0)) (+ (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (cbrt h0)))) (/ (sqrt (+ h1 h0)) (sqrt h0)) (/ (sqrt (+ h1 h0)) (+ (sqrt h0) (sqrt h0))) (/ (sqrt (+ h1 h0)) h0) (/ (sqrt (+ h1 h0)) (+ 1 1)) (/ (sqrt (+ h1 h0)) (+ 1 1)) (/ (sqrt (+ h1 h0)) h0) (/ (sqrt (+ h1 h0)) (+ 1 1)) (/ (sqrt (+ h1 h0)) h0) (/ (sqrt (+ h1 h0)) 2) (/ (sqrt (+ h1 h0)) h0) (/ 1 (* (cbrt (+ h0 h0)) (cbrt (+ h0 h0)))) (/ (+ h1 h0) (cbrt (+ h0 h0))) (/ 1 (sqrt (+ h0 h0))) (/ (+ h1 h0) (sqrt (+ h0 h0))) (/ 1 1) (/ (+ h1 h0) (+ h0 h0)) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h1 h0) (+ (cbrt h0) (cbrt h0))) (/ 1 (sqrt h0)) (/ (+ h1 h0) (+ (sqrt h0) (sqrt h0))) (/ 1 1) (/ (+ h1 h0) (+ h0 h0)) (/ 1 (cbrt h0)) (/ (+ h1 h0) (+ (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (cbrt h0)))) (/ 1 (sqrt h0)) (/ (+ h1 h0) (+ (sqrt h0) (sqrt h0))) (/ 1 h0) (/ (+ h1 h0) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ h1 h0) h0) (/ 1 (+ 1 1)) (/ (+ h1 h0) h0) (/ 1 2) (/ (+ h1 h0) h0) (/ 1 (* (cbrt (+ h0 h0)) (cbrt (+ h0 h0)))) (/ (+ h1 h0) (cbrt (+ h0 h0))) (/ 1 (sqrt (+ h0 h0))) (/ (+ h1 h0) (sqrt (+ h0 h0))) (/ 1 1) (/ (+ h1 h0) (+ h0 h0)) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h1 h0) (+ (cbrt h0) (cbrt h0))) (/ 1 (sqrt h0)) (/ (+ h1 h0) (+ (sqrt h0) (sqrt h0))) (/ 1 1) (/ (+ h1 h0) (+ h0 h0)) (/ 1 (cbrt h0)) (/ (+ h1 h0) (+ (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (cbrt h0)))) (/ 1 (sqrt h0)) (/ (+ h1 h0) (+ (sqrt h0) (sqrt h0))) (/ 1 h0) (/ (+ h1 h0) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ h1 h0) h0) (/ 1 (+ 1 1)) (/ (+ h1 h0) h0) (/ 1 2) (/ (+ h1 h0) h0) (/ 1 (+ h0 h0)) (/ (+ h0 h0) (+ h1 h0)) (/ (+ h1 h0) (* (cbrt (+ h0 h0)) (cbrt (+ h0 h0)))) (/ (+ h1 h0) (sqrt (+ h0 h0))) (/ (+ h1 h0) 1) (/ (+ h1 h0) (* (cbrt h0) (cbrt h0))) (/ (+ h1 h0) (sqrt h0)) (/ (+ h1 h0) 1) (/ (+ h1 h0) (cbrt h0)) (/ (+ h1 h0) (sqrt h0)) (/ (+ h1 h0) h0) (/ (+ h1 h0) (+ 1 1)) (/ (+ h1 h0) (+ 1 1)) (/ (+ h1 h0) 2) (/ (+ h0 h0) (cbrt (+ h1 h0))) (/ (+ h0 h0) (sqrt (+ h1 h0))) (/ (+ h0 h0) (+ h1 h0)) (/ (+ h0 h0) (+ h1 h0)) (/ (+ h1 h0) (+ (pow h0 3) (pow h0 3))) (/ (+ h1 h0) (- (* h0 h0) (* h0 h0))) (* (+ h0 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (+ h0 h0) (- h1 h0)) (+ (* h2 (/ h1 h0)) h2) (+ (* h2 (/ h1 h0)) h2) (+ (* h2 (/ h1 h0)) h2) 1.898 * * * [progress]: adding candidates to table 2.067 * * [progress]: iteration 2 / 4 2.067 * * * [progress]: picking best candidate 2.069 * * * * [pick]: Picked # 2.069 * * * [progress]: localizing error 2.079 * * * [progress]: generating rewritten candidates 2.079 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 2.101 * * * [progress]: generating series expansions 2.101 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 2.101 * [backup-simplify]: Simplify (* 1/2 (/ x y)) into (* 1/2 (/ x y)) 2.101 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (x y) around 0 2.101 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 2.101 * [taylor]: Taking taylor expansion of 1/2 in y 2.101 * [backup-simplify]: Simplify 1/2 into 1/2 2.101 * [taylor]: Taking taylor expansion of (/ x y) in y 2.101 * [taylor]: Taking taylor expansion of x in y 2.101 * [backup-simplify]: Simplify x into x 2.101 * [taylor]: Taking taylor expansion of y in y 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 1 into 1 2.101 * [backup-simplify]: Simplify (/ x 1) into x 2.101 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 2.101 * [taylor]: Taking taylor expansion of 1/2 in x 2.101 * [backup-simplify]: Simplify 1/2 into 1/2 2.102 * [taylor]: Taking taylor expansion of (/ x y) in x 2.102 * [taylor]: Taking taylor expansion of x in x 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 1 into 1 2.102 * [taylor]: Taking taylor expansion of y in x 2.102 * [backup-simplify]: Simplify y into y 2.102 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 2.102 * [taylor]: Taking taylor expansion of 1/2 in x 2.102 * [backup-simplify]: Simplify 1/2 into 1/2 2.102 * [taylor]: Taking taylor expansion of (/ x y) in x 2.102 * [taylor]: Taking taylor expansion of x in x 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 1 into 1 2.102 * [taylor]: Taking taylor expansion of y in x 2.102 * [backup-simplify]: Simplify y into y 2.102 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.102 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 2.102 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.102 * [taylor]: Taking taylor expansion of 1/2 in y 2.102 * [backup-simplify]: Simplify 1/2 into 1/2 2.102 * [taylor]: Taking taylor expansion of y in y 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 1 into 1 2.103 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.103 * [backup-simplify]: Simplify 1/2 into 1/2 2.103 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 2.103 * [taylor]: Taking taylor expansion of 0 in y 2.103 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.105 * [taylor]: Taking taylor expansion of 0 in y 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 2.106 * [taylor]: Taking taylor expansion of 0 in y 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 y) x)) into (* 1/2 (/ x y)) 2.107 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 x) (/ 1 y))) into (* 1/2 (/ y x)) 2.107 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (x y) around 0 2.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 2.107 * [taylor]: Taking taylor expansion of 1/2 in y 2.107 * [backup-simplify]: Simplify 1/2 into 1/2 2.107 * [taylor]: Taking taylor expansion of (/ y x) in y 2.107 * [taylor]: Taking taylor expansion of y in y 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [taylor]: Taking taylor expansion of x in y 2.107 * [backup-simplify]: Simplify x into x 2.107 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 2.107 * [taylor]: Taking taylor expansion of 1/2 in x 2.107 * [backup-simplify]: Simplify 1/2 into 1/2 2.107 * [taylor]: Taking taylor expansion of (/ y x) in x 2.107 * [taylor]: Taking taylor expansion of y in x 2.107 * [backup-simplify]: Simplify y into y 2.107 * [taylor]: Taking taylor expansion of x in x 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [backup-simplify]: Simplify (/ y 1) into y 2.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 2.107 * [taylor]: Taking taylor expansion of 1/2 in x 2.107 * [backup-simplify]: Simplify 1/2 into 1/2 2.107 * [taylor]: Taking taylor expansion of (/ y x) in x 2.107 * [taylor]: Taking taylor expansion of y in x 2.107 * [backup-simplify]: Simplify y into y 2.107 * [taylor]: Taking taylor expansion of x in x 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify (/ y 1) into y 2.108 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 2.108 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 2.108 * [taylor]: Taking taylor expansion of 1/2 in y 2.108 * [backup-simplify]: Simplify 1/2 into 1/2 2.108 * [taylor]: Taking taylor expansion of y in y 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.108 * [backup-simplify]: Simplify 1/2 into 1/2 2.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 2.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 2.109 * [taylor]: Taking taylor expansion of 0 in y 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 2.111 * [taylor]: Taking taylor expansion of 0 in y 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.112 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.114 * [taylor]: Taking taylor expansion of 0 in y 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) into (* 1/2 (/ x y)) 2.114 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) into (* 1/2 (/ y x)) 2.114 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (x y) around 0 2.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 2.114 * [taylor]: Taking taylor expansion of 1/2 in y 2.114 * [backup-simplify]: Simplify 1/2 into 1/2 2.114 * [taylor]: Taking taylor expansion of (/ y x) in y 2.114 * [taylor]: Taking taylor expansion of y in y 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [taylor]: Taking taylor expansion of x in y 2.114 * [backup-simplify]: Simplify x into x 2.114 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 2.114 * [taylor]: Taking taylor expansion of 1/2 in x 2.114 * [backup-simplify]: Simplify 1/2 into 1/2 2.114 * [taylor]: Taking taylor expansion of (/ y x) in x 2.114 * [taylor]: Taking taylor expansion of y in x 2.114 * [backup-simplify]: Simplify y into y 2.114 * [taylor]: Taking taylor expansion of x in x 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [backup-simplify]: Simplify (/ y 1) into y 2.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 2.114 * [taylor]: Taking taylor expansion of 1/2 in x 2.114 * [backup-simplify]: Simplify 1/2 into 1/2 2.114 * [taylor]: Taking taylor expansion of (/ y x) in x 2.114 * [taylor]: Taking taylor expansion of y in x 2.114 * [backup-simplify]: Simplify y into y 2.114 * [taylor]: Taking taylor expansion of x in x 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [backup-simplify]: Simplify (/ y 1) into y 2.114 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 2.115 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 2.115 * [taylor]: Taking taylor expansion of 1/2 in y 2.115 * [backup-simplify]: Simplify 1/2 into 1/2 2.115 * [taylor]: Taking taylor expansion of y in y 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 1 into 1 2.115 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.115 * [backup-simplify]: Simplify 1/2 into 1/2 2.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 2.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 2.116 * [taylor]: Taking taylor expansion of 0 in y 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.116 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 2.118 * [taylor]: Taking taylor expansion of 0 in y 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.120 * [taylor]: Taking taylor expansion of 0 in y 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) into (* 1/2 (/ x y)) 2.120 * * * [progress]: simplifying candidates 2.121 * [simplify]: Simplifying: (* 1/2 (/ x y)) (+ (log 1/2) (- (log x) (log y))) (+ (log 1/2) (log (/ x y))) (log (* 1/2 (/ x y))) (exp (* 1/2 (/ x y))) (* (* (* 1/2 1/2) 1/2) (/ (* (* x x) x) (* (* y y) y))) (* (* (* 1/2 1/2) 1/2) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* 1/2 (/ x y))) (cbrt (* 1/2 (/ x y)))) (cbrt (* 1/2 (/ x y))) (* (* (* 1/2 (/ x y)) (* 1/2 (/ x y))) (* 1/2 (/ x y))) (sqrt (* 1/2 (/ x y))) (sqrt (* 1/2 (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* 1/2 (* (cbrt (/ x y)) (cbrt (/ x y)))) (* 1/2 (sqrt (/ x y))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* 1/2 (/ (* (cbrt x) (cbrt x)) 1)) (* 1/2 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (sqrt x) (sqrt y))) (* 1/2 (/ (sqrt x) 1)) (* 1/2 (/ 1 (* (cbrt y) (cbrt y)))) (* 1/2 (/ 1 (sqrt y))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 x) (* (cbrt 1/2) (/ x y)) (* (sqrt 1/2) (/ x y)) (* 1/2 (/ x y)) (* 1/2 x) (* 1/2 (/ x y)) (* 1/2 (/ x y)) (* 1/2 (/ x y)) 2.121 * [simplify]: Sending expressions to egg_math: (* h2 (/ h1 h0)) (+ (log h2) (- (log h1) (log h0))) (+ (log h2) (log (/ h1 h0))) (log (* h2 (/ h1 h0))) (exp (* h2 (/ h1 h0))) (* (* (* h2 h2) h2) (/ (* (* h1 h1) h1) (* (* h0 h0) h0))) (* (* (* h2 h2) h2) (* (* (/ h1 h0) (/ h1 h0)) (/ h1 h0))) (* (cbrt (* h2 (/ h1 h0))) (cbrt (* h2 (/ h1 h0)))) (cbrt (* h2 (/ h1 h0))) (* (* (* h2 (/ h1 h0)) (* h2 (/ h1 h0))) (* h2 (/ h1 h0))) (sqrt (* h2 (/ h1 h0))) (sqrt (* h2 (/ h1 h0))) (* (sqrt h2) (sqrt (/ h1 h0))) (* (sqrt h2) (sqrt (/ h1 h0))) (* (sqrt h2) (/ (sqrt h1) (sqrt h0))) (* (sqrt h2) (/ (sqrt h1) (sqrt h0))) (* h2 (* (cbrt (/ h1 h0)) (cbrt (/ h1 h0)))) (* h2 (sqrt (/ h1 h0))) (* h2 (/ (* (cbrt h1) (cbrt h1)) (* (cbrt h0) (cbrt h0)))) (* h2 (/ (* (cbrt h1) (cbrt h1)) (sqrt h0))) (* h2 (/ (* (cbrt h1) (cbrt h1)) 1)) (* h2 (/ (sqrt h1) (* (cbrt h0) (cbrt h0)))) (* h2 (/ (sqrt h1) (sqrt h0))) (* h2 (/ (sqrt h1) 1)) (* h2 (/ 1 (* (cbrt h0) (cbrt h0)))) (* h2 (/ 1 (sqrt h0))) (* h2 (/ 1 1)) (* h2 1) (* h2 h1) (* (cbrt h2) (/ h1 h0)) (* (sqrt h2) (/ h1 h0)) (* h2 (/ h1 h0)) (* h2 h1) (* h2 (/ h1 h0)) (* h2 (/ h1 h0)) (* h2 (/ h1 h0)) 3.226 * * * [progress]: adding candidates to table 3.338 * [progress]: [Phase 3 of 3] Extracting. 3.340 * [simplify]: Simplifying: (+ (* 1/2 (/ x y)) 1/2) 3.341 * [simplify]: Sending expressions to egg_math: (+ (* h0 (/ h2 h1)) h0) 4.182 * [regime-testing]: Baseline error score: 0.024951239217492333 4.184 * [regime-testing]: Oracle error score: 0.024951239217492333 4.184 * [regime-testing]: End program error score: 0.024951239217492333 4.211 * [regime-testing]: Target error score: 0.024951239217492333