34.537 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [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]: iteration 0: 5 enodes 0.018 * * [simplify]: iteration 1: 8 enodes 0.019 * * [simplify]: iteration 2: 11 enodes 0.020 * * [simplify]: iteration 3: 13 enodes 0.022 * * [simplify]: iteration complete: 13 enodes 0.022 * * [simplify]: Extracting #0: cost 1 inf + 0 0.022 * * [simplify]: Extracting #1: cost 7 inf + 0 0.022 * * [simplify]: Extracting #2: cost 5 inf + 5 0.022 * * [simplify]: Extracting #3: cost 4 inf + 6 0.022 * * [simplify]: Extracting #4: cost 0 inf + 26 0.022 * [simplify]: Simplified to: (/ (+ y x) (+ y y)) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.057 * * * [progress]: generating rewritten candidates 0.057 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.105 * * * [progress]: generating series expansions 0.105 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.105 * [backup-simplify]: Simplify (/ (+ x y) (+ y y)) into (* 1/2 (/ (+ x y) y)) 0.105 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.105 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.105 * [taylor]: Taking taylor expansion of 1/2 in y 0.105 * [backup-simplify]: Simplify 1/2 into 1/2 0.105 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.105 * [taylor]: Taking taylor expansion of (+ x y) in y 0.105 * [taylor]: Taking taylor expansion of x in y 0.105 * [backup-simplify]: Simplify x into x 0.105 * [taylor]: Taking taylor expansion of y in y 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [taylor]: Taking taylor expansion of y in y 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (+ x 0) into x 0.106 * [backup-simplify]: Simplify (/ x 1) into x 0.106 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.106 * [taylor]: Taking taylor expansion of 1/2 in x 0.106 * [backup-simplify]: Simplify 1/2 into 1/2 0.106 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.106 * [taylor]: Taking taylor expansion of (+ x y) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [backup-simplify]: Simplify y into y 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [backup-simplify]: Simplify y into y 0.106 * [backup-simplify]: Simplify (+ 0 y) into y 0.106 * [backup-simplify]: Simplify (/ y y) into 1 0.106 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.106 * [taylor]: Taking taylor expansion of 1/2 in x 0.106 * [backup-simplify]: Simplify 1/2 into 1/2 0.106 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.106 * [taylor]: Taking taylor expansion of (+ x y) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [backup-simplify]: Simplify y into y 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [backup-simplify]: Simplify y into y 0.106 * [backup-simplify]: Simplify (+ 0 y) into y 0.106 * [backup-simplify]: Simplify (/ y y) into 1 0.107 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.107 * [taylor]: Taking taylor expansion of 1/2 in y 0.107 * [backup-simplify]: Simplify 1/2 into 1/2 0.108 * [backup-simplify]: Simplify (+ 1 0) into 1 0.108 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.109 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y)) 0.109 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.109 * [taylor]: Taking taylor expansion of 1/2 in y 0.109 * [backup-simplify]: Simplify 1/2 into 1/2 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.110 * [backup-simplify]: Simplify 1/2 into 1/2 0.110 * [backup-simplify]: Simplify 1/2 into 1/2 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 0.121 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 y))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 0.121 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.121 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.121 * [taylor]: Taking taylor expansion of 1/2 in y 0.121 * [backup-simplify]: Simplify 1/2 into 1/2 0.121 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 x) 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 (/ 1 x) into (/ 1 x) 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 y in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.122 * [taylor]: Taking taylor expansion of 1/2 in x 0.122 * [backup-simplify]: Simplify 1/2 into 1/2 0.122 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 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 y in x 0.123 * [backup-simplify]: Simplify y into y 0.123 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.123 * [taylor]: Taking taylor expansion of 1/2 in x 0.123 * [backup-simplify]: Simplify 1/2 into 1/2 0.123 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [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) 0.124 * [taylor]: Taking taylor expansion of y in x 0.124 * [backup-simplify]: Simplify y into y 0.125 * [backup-simplify]: Simplify (+ 1 0) into 1 0.125 * [backup-simplify]: Simplify (* 1 y) into y 0.125 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.125 * [taylor]: Taking taylor expansion of (* 1/2 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 y in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.127 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) 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 (* 1/2 0) into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) 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 1/2 into 1/2 0.133 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.133 * [backup-simplify]: Simplify 1/2 into 1/2 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) 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 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) 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 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.140 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 0.140 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.140 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.140 * [taylor]: Taking taylor expansion of 1/2 in y 0.140 * [backup-simplify]: Simplify 1/2 into 1/2 0.140 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) 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 (/ 1 x) into (/ 1 x) 0.140 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.140 * [taylor]: Taking taylor expansion of 1/2 in x 0.140 * [backup-simplify]: Simplify 1/2 into 1/2 0.140 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [backup-simplify]: Simplify y into y 0.141 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [backup-simplify]: Simplify y into y 0.141 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.141 * [taylor]: Taking taylor expansion of 1/2 in x 0.141 * [backup-simplify]: Simplify 1/2 into 1/2 0.141 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [backup-simplify]: Simplify y into y 0.141 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [backup-simplify]: Simplify y into y 0.142 * [backup-simplify]: Simplify (+ 1 0) into 1 0.142 * [backup-simplify]: Simplify (* 1 y) into y 0.142 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.142 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.142 * [taylor]: Taking taylor expansion of 1/2 in y 0.142 * [backup-simplify]: Simplify 1/2 into 1/2 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.143 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.143 * [taylor]: Taking taylor expansion of 1/2 in y 0.143 * [backup-simplify]: Simplify 1/2 into 1/2 0.144 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.146 * [backup-simplify]: Simplify (+ (* 1/2 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 1/2 into 1/2 0.146 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.146 * [backup-simplify]: Simplify 1/2 into 1/2 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.149 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 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 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.153 * * * [progress]: simplifying candidates 0.154 * [simplify]: Simplifying: (expm1 (/ (+ x y) (+ y y))) (log1p (/ (+ x y) (+ y y))) (- (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) 0.156 * * [simplify]: iteration 0: 114 enodes 0.205 * * [simplify]: iteration 1: 241 enodes 0.278 * * [simplify]: iteration 2: 790 enodes 0.832 * * [simplify]: iteration complete: 5000 enodes 0.833 * * [simplify]: Extracting #0: cost 69 inf + 0 0.835 * * [simplify]: Extracting #1: cost 623 inf + 2 0.842 * * [simplify]: Extracting #2: cost 1422 inf + 32 0.849 * * [simplify]: Extracting #3: cost 1401 inf + 2934 0.856 * * [simplify]: Extracting #4: cost 184 inf + 13287 0.869 * * [simplify]: Extracting #5: cost 3 inf + 15162 0.876 * * [simplify]: Extracting #6: cost 0 inf + 15160 0.884 * [simplify]: Simplified to: (expm1 (/ (/ (+ x y) y) 2)) (log1p (/ (/ (+ x y) y) 2)) (log (/ (/ (+ x y) y) 2)) (log (/ (/ (+ x y) y) 2)) (exp (/ (/ (+ x y) y) 2)) (pow (/ (/ (+ x y) y) 2) 3) (* (cbrt (/ (/ (+ x y) y) 2)) (cbrt (/ (/ (+ x y) y) 2))) (cbrt (/ (/ (+ x y) y) 2)) (pow (/ (/ (+ x y) y) 2) 3) (sqrt (/ (/ (+ x y) y) 2)) (sqrt (/ (/ (+ x y) y) 2)) (- (- x) y) (* -2 y) (/ (cbrt (+ x y)) (/ (* (cbrt (* 2 y)) (cbrt (* 2 y))) (cbrt (+ x y)))) (/ (cbrt (+ x y)) (cbrt (* 2 y))) (/ (cbrt (+ x y)) (/ (sqrt (* 2 y)) (cbrt (+ x y)))) (/ (cbrt (+ x y)) (sqrt (* 2 y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (* y 2)) (/ (cbrt (+ x y)) (/ (* (cbrt y) (cbrt y)) (cbrt (+ x y)))) (/ (cbrt (+ x y)) (* 2 (cbrt y))) (/ (cbrt (+ x y)) (/ (sqrt y) (cbrt (+ x y)))) (/ (cbrt (+ x y)) (* 2 (sqrt y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (* y 2)) (* (/ (cbrt (+ x y)) (cbrt y)) (cbrt (+ x y))) (/ (/ (cbrt (+ x y)) (cbrt y)) (* 2 (cbrt y))) (/ (cbrt (+ x y)) (/ (sqrt y) (cbrt (+ x y)))) (/ (cbrt (+ x y)) (* 2 (sqrt y))) (/ (cbrt (+ x y)) (/ y (cbrt (+ x y)))) (/ (cbrt (+ x y)) 2) (/ (cbrt (+ x y)) (/ 2 (cbrt (+ x y)))) (/ (cbrt (+ x y)) y) (/ (cbrt (+ x y)) (/ 2 (cbrt (+ x y)))) (/ (cbrt (+ x y)) y) (/ (cbrt (+ x y)) (/ 2 (cbrt (+ x y)))) (/ (cbrt (+ x y)) y) (/ (/ (sqrt (+ x y)) (cbrt (* 2 y))) (cbrt (* 2 y))) (/ (sqrt (+ x y)) (cbrt (* 2 y))) (/ (sqrt (+ x y)) (sqrt (* 2 y))) (/ (sqrt (+ x y)) (sqrt (* 2 y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (* y 2)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) 2) (cbrt y)) (/ (sqrt (+ x y)) (sqrt y)) (/ (/ (sqrt (+ x y)) 2) (sqrt y)) (sqrt (+ x y)) (/ (sqrt (+ x y)) (* y 2)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (* (* 2 (cbrt y)) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (/ (sqrt (+ x y)) 2) (sqrt y)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (/ 1 (cbrt (* 2 y))) (cbrt (* 2 y))) (/ (+ x y) (cbrt (* 2 y))) (/ 1 (sqrt (* 2 y))) (/ (+ x y) (sqrt (* 2 y))) 1 (/ (/ (+ x y) y) 2) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) 1 (/ (/ (+ x y) y) 2) (/ 1 (cbrt y)) (/ (/ (+ x y) (cbrt y)) (* 2 (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ (/ 1 (cbrt (* 2 y))) (cbrt (* 2 y))) (/ (+ x y) (cbrt (* 2 y))) (/ 1 (sqrt (* 2 y))) (/ (+ x y) (sqrt (* 2 y))) 1 (/ (/ (+ x y) y) 2) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) 1 (/ (/ (+ x y) y) 2) (/ 1 (cbrt y)) (/ (/ (+ x y) (cbrt y)) (* 2 (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1/2 y) (/ y (/ (+ x y) 2)) (/ (+ x y) (* (cbrt (* 2 y)) (cbrt (* 2 y)))) (/ (+ x y) (sqrt (* 2 y))) (+ x y) (/ (/ (+ x y) (cbrt y)) (cbrt y)) (/ (+ x y) (sqrt y)) (+ x y) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ x y) 2) (/ y (/ (cbrt (+ x y)) 2)) (/ y (/ (sqrt (+ x y)) 2)) (/ y (/ (+ x y) 2)) (/ y (/ (+ x y) 2)) (/ (+ x y) (* 2 (pow y 3))) (/ (+ x y) 0) (* (* 2 y) (fma x x (* (- y x) y))) (* (- x y) (+ y y)) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) 0.885 * * * [progress]: adding candidates to table 1.194 * * [progress]: iteration 2 / 4 1.194 * * * [progress]: picking best candidate 1.206 * * * * [pick]: Picked # 1.206 * * * [progress]: localizing error 1.219 * * * [progress]: generating rewritten candidates 1.219 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.219 * * * [progress]: generating series expansions 1.219 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.220 * [backup-simplify]: Simplify (fma 1/2 (/ x y) 1/2) into (fma 1/2 (/ x y) 1/2) 1.220 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in (x y) around 0 1.220 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in y 1.220 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 1.220 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.220 * [taylor]: Taking taylor expansion of 1/2 in y 1.220 * [backup-simplify]: Simplify 1/2 into 1/2 1.220 * [taylor]: Taking taylor expansion of (/ x y) in y 1.220 * [taylor]: Taking taylor expansion of x in y 1.220 * [backup-simplify]: Simplify x into x 1.220 * [taylor]: Taking taylor expansion of y in y 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 1 into 1 1.220 * [backup-simplify]: Simplify (/ x 1) into x 1.220 * [taylor]: Taking taylor expansion of 1/2 in y 1.220 * [backup-simplify]: Simplify 1/2 into 1/2 1.220 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in x 1.220 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 1.220 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.220 * [taylor]: Taking taylor expansion of 1/2 in x 1.220 * [backup-simplify]: Simplify 1/2 into 1/2 1.220 * [taylor]: Taking taylor expansion of (/ x y) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 1 into 1 1.221 * [taylor]: Taking taylor expansion of y in x 1.221 * [backup-simplify]: Simplify y into y 1.221 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.221 * [taylor]: Taking taylor expansion of 1/2 in x 1.221 * [backup-simplify]: Simplify 1/2 into 1/2 1.221 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in x 1.221 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 1.221 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.221 * [taylor]: Taking taylor expansion of 1/2 in x 1.221 * [backup-simplify]: Simplify 1/2 into 1/2 1.221 * [taylor]: Taking taylor expansion of (/ x y) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 1 into 1 1.221 * [taylor]: Taking taylor expansion of y in x 1.221 * [backup-simplify]: Simplify y into y 1.221 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.221 * [taylor]: Taking taylor expansion of 1/2 in x 1.221 * [backup-simplify]: Simplify 1/2 into 1/2 1.222 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.222 * [taylor]: Taking taylor expansion of 1/2 in y 1.222 * [backup-simplify]: Simplify 1/2 into 1/2 1.222 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 1.222 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 1.222 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 1.222 * [taylor]: Taking taylor expansion of 1/2 in y 1.222 * [backup-simplify]: Simplify 1/2 into 1/2 1.222 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.222 * [taylor]: Taking taylor expansion of y in y 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 1 into 1 1.223 * [backup-simplify]: Simplify (/ 1 1) into 1 1.223 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.223 * [backup-simplify]: Simplify 1/2 into 1/2 1.223 * [backup-simplify]: Simplify 1/2 into 1/2 1.224 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 1.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 1.225 * [backup-simplify]: Simplify (+ 0 0) into 0 1.225 * [taylor]: Taking taylor expansion of 0 in y 1.225 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.228 * [backup-simplify]: Simplify (+ 0 0) into 0 1.228 * [taylor]: Taking taylor expansion of 0 in y 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.230 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.230 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 1.232 * [backup-simplify]: Simplify (+ 0 0) into 0 1.232 * [taylor]: Taking taylor expansion of 0 in y 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 1.232 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 x) (/ 1 y)) 1/2) into (fma 1/2 (/ y x) 1/2) 1.232 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in (x y) around 0 1.232 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in y 1.232 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 1.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.232 * [taylor]: Taking taylor expansion of 1/2 in y 1.232 * [backup-simplify]: Simplify 1/2 into 1/2 1.232 * [taylor]: Taking taylor expansion of (/ y x) in y 1.232 * [taylor]: Taking taylor expansion of y in y 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify 1 into 1 1.233 * [taylor]: Taking taylor expansion of x in y 1.233 * [backup-simplify]: Simplify x into x 1.233 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.233 * [taylor]: Taking taylor expansion of 1/2 in y 1.233 * [backup-simplify]: Simplify 1/2 into 1/2 1.233 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 1.233 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 1.233 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.233 * [taylor]: Taking taylor expansion of 1/2 in x 1.233 * [backup-simplify]: Simplify 1/2 into 1/2 1.233 * [taylor]: Taking taylor expansion of (/ y x) in x 1.233 * [taylor]: Taking taylor expansion of y in x 1.233 * [backup-simplify]: Simplify y into y 1.233 * [taylor]: Taking taylor expansion of x in x 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify 1 into 1 1.233 * [backup-simplify]: Simplify (/ y 1) into y 1.233 * [taylor]: Taking taylor expansion of 1/2 in x 1.233 * [backup-simplify]: Simplify 1/2 into 1/2 1.233 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 1.233 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 1.233 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.233 * [taylor]: Taking taylor expansion of 1/2 in x 1.233 * [backup-simplify]: Simplify 1/2 into 1/2 1.233 * [taylor]: Taking taylor expansion of (/ y x) in x 1.233 * [taylor]: Taking taylor expansion of y in x 1.233 * [backup-simplify]: Simplify y into y 1.233 * [taylor]: Taking taylor expansion of x in x 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 1 into 1 1.234 * [backup-simplify]: Simplify (/ y 1) into y 1.234 * [taylor]: Taking taylor expansion of 1/2 in x 1.234 * [backup-simplify]: Simplify 1/2 into 1/2 1.234 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 1.234 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y) 1.234 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 1.234 * [taylor]: Taking taylor expansion of 1/2 in y 1.234 * [backup-simplify]: Simplify 1/2 into 1/2 1.234 * [taylor]: Taking taylor expansion of y in y 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 1 into 1 1.235 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.235 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 1.236 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 1.237 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.237 * [taylor]: Taking taylor expansion of 1/2 in y 1.237 * [backup-simplify]: Simplify 1/2 into 1/2 1.237 * [backup-simplify]: Simplify 1/2 into 1/2 1.237 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.238 * [backup-simplify]: Simplify 1/2 into 1/2 1.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 1.240 * [backup-simplify]: Simplify (+ 0 0) into 0 1.240 * [taylor]: Taking taylor expansion of 0 in y 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.241 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.244 * [backup-simplify]: Simplify (+ 0 0) into 0 1.244 * [taylor]: Taking taylor expansion of 0 in y 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 1.245 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 (- x)) (/ 1 (- y))) 1/2) into (fma 1/2 (/ y x) 1/2) 1.245 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in (x y) around 0 1.245 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in y 1.245 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 1.245 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.245 * [taylor]: Taking taylor expansion of 1/2 in y 1.245 * [backup-simplify]: Simplify 1/2 into 1/2 1.245 * [taylor]: Taking taylor expansion of (/ y x) in y 1.245 * [taylor]: Taking taylor expansion of y in y 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 1 into 1 1.245 * [taylor]: Taking taylor expansion of x in y 1.245 * [backup-simplify]: Simplify x into x 1.246 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.246 * [taylor]: Taking taylor expansion of 1/2 in y 1.246 * [backup-simplify]: Simplify 1/2 into 1/2 1.246 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 1.246 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 1.246 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.246 * [taylor]: Taking taylor expansion of 1/2 in x 1.246 * [backup-simplify]: Simplify 1/2 into 1/2 1.246 * [taylor]: Taking taylor expansion of (/ y x) in x 1.246 * [taylor]: Taking taylor expansion of y in x 1.246 * [backup-simplify]: Simplify y into y 1.246 * [taylor]: Taking taylor expansion of x in x 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 1 into 1 1.246 * [backup-simplify]: Simplify (/ y 1) into y 1.246 * [taylor]: Taking taylor expansion of 1/2 in x 1.246 * [backup-simplify]: Simplify 1/2 into 1/2 1.246 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 1.246 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 1.246 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.246 * [taylor]: Taking taylor expansion of 1/2 in x 1.246 * [backup-simplify]: Simplify 1/2 into 1/2 1.246 * [taylor]: Taking taylor expansion of (/ y x) in x 1.246 * [taylor]: Taking taylor expansion of y in x 1.246 * [backup-simplify]: Simplify y into y 1.246 * [taylor]: Taking taylor expansion of x in x 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 1 into 1 1.246 * [backup-simplify]: Simplify (/ y 1) into y 1.246 * [taylor]: Taking taylor expansion of 1/2 in x 1.246 * [backup-simplify]: Simplify 1/2 into 1/2 1.247 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 1.247 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y) 1.247 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 1.247 * [taylor]: Taking taylor expansion of 1/2 in y 1.247 * [backup-simplify]: Simplify 1/2 into 1/2 1.247 * [taylor]: Taking taylor expansion of y in y 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify 1 into 1 1.247 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.247 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 1.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 1.249 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.249 * [taylor]: Taking taylor expansion of 1/2 in y 1.249 * [backup-simplify]: Simplify 1/2 into 1/2 1.249 * [backup-simplify]: Simplify 1/2 into 1/2 1.250 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.250 * [backup-simplify]: Simplify 1/2 into 1/2 1.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 1.257 * [backup-simplify]: Simplify (+ 0 0) into 0 1.257 * [taylor]: Taking taylor expansion of 0 in y 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.258 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.262 * [backup-simplify]: Simplify (+ 0 0) into 0 1.262 * [taylor]: Taking taylor expansion of 0 in y 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 1.263 * * * [progress]: simplifying candidates 1.263 * [simplify]: Simplifying: (expm1 (fma 1/2 (/ x y) 1/2)) (log1p (fma 1/2 (/ x y) 1/2)) (* 1/2 (/ x y)) (log (fma 1/2 (/ x y) 1/2)) (exp (fma 1/2 (/ x y) 1/2)) (* (cbrt (fma 1/2 (/ x y) 1/2)) (cbrt (fma 1/2 (/ x y) 1/2))) (cbrt (fma 1/2 (/ x y) 1/2)) (* (* (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2)) (fma 1/2 (/ x y) 1/2)) (sqrt (fma 1/2 (/ x y) 1/2)) (sqrt (fma 1/2 (/ x y) 1/2)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 1.264 * * [simplify]: iteration 0: 16 enodes 1.268 * * [simplify]: iteration 1: 24 enodes 1.273 * * [simplify]: iteration 2: 81 enodes 1.306 * * [simplify]: iteration 3: 361 enodes 2.164 * * [simplify]: iteration 4: 2128 enodes 4.267 * * [simplify]: iteration complete: 5000 enodes 4.267 * * [simplify]: Extracting #0: cost 10 inf + 0 4.269 * * [simplify]: Extracting #1: cost 156 inf + 0 4.273 * * [simplify]: Extracting #2: cost 369 inf + 51 4.278 * * [simplify]: Extracting #3: cost 111 inf + 2940 4.283 * * [simplify]: Extracting #4: cost 4 inf + 4034 4.287 * * [simplify]: Extracting #5: cost 2 inf + 4024 4.291 * * [simplify]: Extracting #6: cost 1 inf + 4029 4.296 * * [simplify]: Extracting #7: cost 0 inf + 4037 4.300 * [simplify]: Simplified to: (expm1 (fma (/ x y) 1/2 1/2)) (log1p (fma (/ x y) 1/2 1/2)) (* (/ x y) 1/2) (+ (log1p (/ x y)) (log 1/2)) (sqrt (exp (+ (/ x y) 1))) (* (cbrt (fma (/ x y) 1/2 1/2)) (cbrt (fma (/ x y) 1/2 1/2))) (cbrt (fma (/ x y) 1/2 1/2)) (pow (fma (/ x y) 1/2 1/2) 3) (sqrt (fma (/ x y) 1/2 1/2)) (sqrt (fma (/ x y) 1/2 1/2)) (fma (/ x y) 1/2 1/2) (fma (/ x y) 1/2 1/2) (fma (/ x y) 1/2 1/2) 4.301 * * * [progress]: adding candidates to table 4.371 * * [progress]: iteration 3 / 4 4.371 * * * [progress]: picking best candidate 4.374 * * * * [pick]: Picked # 4.374 * * * [progress]: localizing error 4.382 * * * [progress]: generating rewritten candidates 4.382 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.428 * * * [progress]: generating series expansions 4.428 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.429 * [backup-simplify]: Simplify (* (+ x y) (/ 1/2 y)) into (* 1/2 (/ (+ x y) y)) 4.429 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 4.429 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 4.429 * [taylor]: Taking taylor expansion of 1/2 in y 4.429 * [backup-simplify]: Simplify 1/2 into 1/2 4.429 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 4.429 * [taylor]: Taking taylor expansion of (+ x y) in y 4.429 * [taylor]: Taking taylor expansion of x in y 4.429 * [backup-simplify]: Simplify x into x 4.429 * [taylor]: Taking taylor expansion of y in y 4.429 * [backup-simplify]: Simplify 0 into 0 4.429 * [backup-simplify]: Simplify 1 into 1 4.429 * [taylor]: Taking taylor expansion of y in y 4.429 * [backup-simplify]: Simplify 0 into 0 4.429 * [backup-simplify]: Simplify 1 into 1 4.429 * [backup-simplify]: Simplify (+ x 0) into x 4.429 * [backup-simplify]: Simplify (/ x 1) into x 4.429 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 4.429 * [taylor]: Taking taylor expansion of 1/2 in x 4.429 * [backup-simplify]: Simplify 1/2 into 1/2 4.429 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 4.429 * [taylor]: Taking taylor expansion of (+ x y) in x 4.429 * [taylor]: Taking taylor expansion of x in x 4.429 * [backup-simplify]: Simplify 0 into 0 4.429 * [backup-simplify]: Simplify 1 into 1 4.429 * [taylor]: Taking taylor expansion of y in x 4.429 * [backup-simplify]: Simplify y into y 4.429 * [taylor]: Taking taylor expansion of y in x 4.429 * [backup-simplify]: Simplify y into y 4.429 * [backup-simplify]: Simplify (+ 0 y) into y 4.430 * [backup-simplify]: Simplify (/ y y) into 1 4.430 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 4.430 * [taylor]: Taking taylor expansion of 1/2 in x 4.430 * [backup-simplify]: Simplify 1/2 into 1/2 4.430 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 4.430 * [taylor]: Taking taylor expansion of (+ x y) in x 4.430 * [taylor]: Taking taylor expansion of x in x 4.430 * [backup-simplify]: Simplify 0 into 0 4.430 * [backup-simplify]: Simplify 1 into 1 4.430 * [taylor]: Taking taylor expansion of y in x 4.430 * [backup-simplify]: Simplify y into y 4.430 * [taylor]: Taking taylor expansion of y in x 4.430 * [backup-simplify]: Simplify y into y 4.430 * [backup-simplify]: Simplify (+ 0 y) into y 4.430 * [backup-simplify]: Simplify (/ y y) into 1 4.432 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.432 * [taylor]: Taking taylor expansion of 1/2 in y 4.432 * [backup-simplify]: Simplify 1/2 into 1/2 4.433 * [backup-simplify]: Simplify (+ 1 0) into 1 4.433 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 4.438 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y)) 4.439 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 4.439 * [taylor]: Taking taylor expansion of 1/2 in y 4.439 * [backup-simplify]: Simplify 1/2 into 1/2 4.439 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.439 * [taylor]: Taking taylor expansion of y in y 4.439 * [backup-simplify]: Simplify 0 into 0 4.439 * [backup-simplify]: Simplify 1 into 1 4.440 * [backup-simplify]: Simplify (/ 1 1) into 1 4.440 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.440 * [backup-simplify]: Simplify 1/2 into 1/2 4.440 * [backup-simplify]: Simplify 1/2 into 1/2 4.441 * [backup-simplify]: Simplify (+ 0 0) into 0 4.441 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 4.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 4.443 * [taylor]: Taking taylor expansion of 0 in y 4.443 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.445 * [backup-simplify]: Simplify 0 into 0 4.445 * [backup-simplify]: Simplify 0 into 0 4.445 * [backup-simplify]: Simplify (+ 0 0) into 0 4.446 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.448 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 4.448 * [taylor]: Taking taylor expansion of 0 in y 4.448 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify 0 into 0 4.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.450 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.450 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify (+ 0 0) into 0 4.452 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 4.454 * [taylor]: Taking taylor expansion of 0 in y 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 4.455 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1/2 (/ 1 y))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 4.455 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 4.455 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 4.455 * [taylor]: Taking taylor expansion of 1/2 in y 4.455 * [backup-simplify]: Simplify 1/2 into 1/2 4.455 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 4.455 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.455 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.455 * [taylor]: Taking taylor expansion of x in y 4.455 * [backup-simplify]: Simplify x into x 4.455 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.455 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.455 * [taylor]: Taking taylor expansion of y in y 4.455 * [backup-simplify]: Simplify 0 into 0 4.455 * [backup-simplify]: Simplify 1 into 1 4.456 * [backup-simplify]: Simplify (/ 1 1) into 1 4.456 * [taylor]: Taking taylor expansion of y in y 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify 1 into 1 4.456 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 4.456 * [taylor]: Taking taylor expansion of 1/2 in x 4.456 * [backup-simplify]: Simplify 1/2 into 1/2 4.456 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 4.456 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.456 * [taylor]: Taking taylor expansion of x in x 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify 1 into 1 4.457 * [backup-simplify]: Simplify (/ 1 1) into 1 4.457 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.457 * [taylor]: Taking taylor expansion of y in x 4.457 * [backup-simplify]: Simplify y into y 4.457 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.457 * [taylor]: Taking taylor expansion of y in x 4.457 * [backup-simplify]: Simplify y into y 4.457 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 4.457 * [taylor]: Taking taylor expansion of 1/2 in x 4.457 * [backup-simplify]: Simplify 1/2 into 1/2 4.457 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 4.457 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.457 * [taylor]: Taking taylor expansion of x in x 4.457 * [backup-simplify]: Simplify 0 into 0 4.457 * [backup-simplify]: Simplify 1 into 1 4.458 * [backup-simplify]: Simplify (/ 1 1) into 1 4.458 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.458 * [taylor]: Taking taylor expansion of y in x 4.458 * [backup-simplify]: Simplify y into y 4.458 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.458 * [taylor]: Taking taylor expansion of y in x 4.458 * [backup-simplify]: Simplify y into y 4.459 * [backup-simplify]: Simplify (+ 1 0) into 1 4.459 * [backup-simplify]: Simplify (* 1 y) into y 4.459 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 4.459 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 4.459 * [taylor]: Taking taylor expansion of 1/2 in y 4.459 * [backup-simplify]: Simplify 1/2 into 1/2 4.459 * [taylor]: Taking taylor expansion of y in y 4.459 * [backup-simplify]: Simplify 0 into 0 4.459 * [backup-simplify]: Simplify 1 into 1 4.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.461 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.461 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 4.462 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 4.462 * [taylor]: Taking taylor expansion of 1/2 in y 4.462 * [backup-simplify]: Simplify 1/2 into 1/2 4.463 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.463 * [backup-simplify]: Simplify 0 into 0 4.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.465 * [backup-simplify]: Simplify (+ 0 0) into 0 4.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 4.466 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 4.467 * [taylor]: Taking taylor expansion of 0 in y 4.467 * [backup-simplify]: Simplify 0 into 0 4.467 * [backup-simplify]: Simplify 1/2 into 1/2 4.467 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.468 * [backup-simplify]: Simplify 1/2 into 1/2 4.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.469 * [backup-simplify]: Simplify (+ 0 0) into 0 4.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 4.472 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 4.472 * [taylor]: Taking taylor expansion of 0 in y 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.473 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.475 * [backup-simplify]: Simplify (+ 0 0) into 0 4.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.480 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 4.480 * [taylor]: Taking taylor expansion of 0 in y 4.480 * [backup-simplify]: Simplify 0 into 0 4.480 * [backup-simplify]: Simplify 0 into 0 4.480 * [backup-simplify]: Simplify 0 into 0 4.480 * [backup-simplify]: Simplify 0 into 0 4.480 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 4.481 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1/2 (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 4.481 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 4.481 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 4.481 * [taylor]: Taking taylor expansion of 1/2 in y 4.481 * [backup-simplify]: Simplify 1/2 into 1/2 4.481 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 4.481 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.481 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.481 * [taylor]: Taking taylor expansion of x in y 4.481 * [backup-simplify]: Simplify x into x 4.481 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.481 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.481 * [taylor]: Taking taylor expansion of y in y 4.481 * [backup-simplify]: Simplify 0 into 0 4.481 * [backup-simplify]: Simplify 1 into 1 4.482 * [backup-simplify]: Simplify (/ 1 1) into 1 4.482 * [taylor]: Taking taylor expansion of y in y 4.482 * [backup-simplify]: Simplify 0 into 0 4.482 * [backup-simplify]: Simplify 1 into 1 4.482 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 4.482 * [taylor]: Taking taylor expansion of 1/2 in x 4.482 * [backup-simplify]: Simplify 1/2 into 1/2 4.482 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 4.482 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.482 * [taylor]: Taking taylor expansion of x in x 4.482 * [backup-simplify]: Simplify 0 into 0 4.482 * [backup-simplify]: Simplify 1 into 1 4.483 * [backup-simplify]: Simplify (/ 1 1) into 1 4.483 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.483 * [taylor]: Taking taylor expansion of y in x 4.483 * [backup-simplify]: Simplify y into y 4.483 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.483 * [taylor]: Taking taylor expansion of y in x 4.483 * [backup-simplify]: Simplify y into y 4.483 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 4.483 * [taylor]: Taking taylor expansion of 1/2 in x 4.483 * [backup-simplify]: Simplify 1/2 into 1/2 4.483 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 4.483 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.484 * [taylor]: Taking taylor expansion of x in x 4.484 * [backup-simplify]: Simplify 0 into 0 4.484 * [backup-simplify]: Simplify 1 into 1 4.484 * [backup-simplify]: Simplify (/ 1 1) into 1 4.484 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.484 * [taylor]: Taking taylor expansion of y in x 4.484 * [backup-simplify]: Simplify y into y 4.484 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.484 * [taylor]: Taking taylor expansion of y in x 4.485 * [backup-simplify]: Simplify y into y 4.485 * [backup-simplify]: Simplify (+ 1 0) into 1 4.485 * [backup-simplify]: Simplify (* 1 y) into y 4.486 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 4.486 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 4.486 * [taylor]: Taking taylor expansion of 1/2 in y 4.486 * [backup-simplify]: Simplify 1/2 into 1/2 4.486 * [taylor]: Taking taylor expansion of y in y 4.486 * [backup-simplify]: Simplify 0 into 0 4.486 * [backup-simplify]: Simplify 1 into 1 4.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.487 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.488 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 4.489 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 4.489 * [taylor]: Taking taylor expansion of 1/2 in y 4.489 * [backup-simplify]: Simplify 1/2 into 1/2 4.489 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.489 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.491 * [backup-simplify]: Simplify (+ 0 0) into 0 4.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 4.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 4.493 * [taylor]: Taking taylor expansion of 0 in y 4.493 * [backup-simplify]: Simplify 0 into 0 4.493 * [backup-simplify]: Simplify 1/2 into 1/2 4.494 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.494 * [backup-simplify]: Simplify 1/2 into 1/2 4.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.496 * [backup-simplify]: Simplify (+ 0 0) into 0 4.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 4.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 4.500 * [taylor]: Taking taylor expansion of 0 in y 4.500 * [backup-simplify]: Simplify 0 into 0 4.500 * [backup-simplify]: Simplify 0 into 0 4.500 * [backup-simplify]: Simplify 0 into 0 4.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.501 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.503 * [backup-simplify]: Simplify (+ 0 0) into 0 4.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 4.507 * [taylor]: Taking taylor expansion of 0 in y 4.507 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify 0 into 0 4.508 * [backup-simplify]: Simplify 0 into 0 4.508 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 4.508 * * * [progress]: simplifying candidates 4.509 * [simplify]: Simplifying: (expm1 (* (+ x y) (/ 1/2 y))) (log1p (* (+ x y) (/ 1/2 y))) (* (+ x y) (/ 1/2 y)) (+ (log (+ x y)) (- (log 1/2) (log y))) (+ (log (+ x y)) (log (/ 1/2 y))) (log (* (+ x y) (/ 1/2 y))) (exp (* (+ x y) (/ 1/2 y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (/ (* (* 1/2 1/2) 1/2) (* (* y y) y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (/ 1/2 y) (/ 1/2 y)) (/ 1/2 y))) (* (cbrt (* (+ x y) (/ 1/2 y))) (cbrt (* (+ x y) (/ 1/2 y)))) (cbrt (* (+ x y) (/ 1/2 y))) (* (* (* (+ x y) (/ 1/2 y)) (* (+ x y) (/ 1/2 y))) (* (+ x y) (/ 1/2 y))) (sqrt (* (+ x y) (/ 1/2 y))) (sqrt (* (+ x y) (/ 1/2 y))) (* (+ (pow x 3) (pow y 3)) 1/2) (* (+ (* x x) (- (* y y) (* x y))) y) (* (- (* x x) (* y y)) 1/2) (* (- x y) y) (* (sqrt (+ x y)) (sqrt (/ 1/2 y))) (* (sqrt (+ x y)) (sqrt (/ 1/2 y))) (* (sqrt (+ x y)) (/ (sqrt 1/2) (sqrt y))) (* (sqrt (+ x y)) (/ (sqrt 1/2) (sqrt y))) (* (+ x y) (* (cbrt (/ 1/2 y)) (cbrt (/ 1/2 y)))) (* (+ x y) (sqrt (/ 1/2 y))) (* (+ x y) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt y) (cbrt y)))) (* (+ x y) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt y))) (* (+ x y) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)) (* (+ x y) (/ (sqrt 1/2) (* (cbrt y) (cbrt y)))) (* (+ x y) (/ (sqrt 1/2) (sqrt y))) (* (+ x y) (/ (sqrt 1/2) 1)) (* (+ x y) (/ 1 (* (cbrt y) (cbrt y)))) (* (+ x y) (/ 1 (sqrt y))) (* (+ x y) (/ 1 1)) (* (+ x y) 1) (* (+ x y) 1/2) (* (cbrt (+ x y)) (/ 1/2 y)) (* (sqrt (+ x y)) (/ 1/2 y)) (* (+ x y) (/ 1/2 y)) (* (+ x y) (/ 1/2 y)) (* (+ x y) 1/2) (* (+ (pow x 3) (pow y 3)) (/ 1/2 y)) (* (- (* x x) (* y y)) (/ 1/2 y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 4.511 * * [simplify]: iteration 0: 90 enodes 4.547 * * [simplify]: iteration 1: 251 enodes 4.703 * * [simplify]: iteration 2: 1421 enodes 5.463 * * [simplify]: iteration complete: 5001 enodes 5.463 * * [simplify]: Extracting #0: cost 33 inf + 0 5.465 * * [simplify]: Extracting #1: cost 1033 inf + 0 5.472 * * [simplify]: Extracting #2: cost 1916 inf + 287 5.495 * * [simplify]: Extracting #3: cost 1424 inf + 5841 5.509 * * [simplify]: Extracting #4: cost 162 inf + 16697 5.522 * * [simplify]: Extracting #5: cost 14 inf + 18059 5.536 * * [simplify]: Extracting #6: cost 1 inf + 18118 5.549 * * [simplify]: Extracting #7: cost 0 inf + 18123 5.562 * [simplify]: Simplified to: (expm1 (/ (* 1/2 (+ x y)) y)) (log1p (/ (* 1/2 (+ x y)) y)) (/ (* 1/2 (+ x y)) y) (log (/ (* 1/2 (+ x y)) y)) (log (/ (* 1/2 (+ x y)) y)) (log (/ (* 1/2 (+ x y)) y)) (pow (exp (+ x y)) (/ 1/2 y)) (/ (* (pow (+ x y) 3) 1/8) (pow y 3)) (pow (/ (* 1/2 (+ x y)) y) 3) (* (cbrt (/ (* 1/2 (+ x y)) y)) (cbrt (/ (* 1/2 (+ x y)) y))) (cbrt (/ (* 1/2 (+ x y)) y)) (pow (/ (* 1/2 (+ x y)) y) 3) (sqrt (/ (* 1/2 (+ x y)) y)) (sqrt (/ (* 1/2 (+ x y)) y)) (* 1/2 (+ (pow y 3) (pow x 3))) (* (fma y (- y x) (* x x)) y) (* (* 1/2 (+ x y)) (- x y)) (* (- x y) y) (* (sqrt (/ 1/2 y)) (sqrt (+ x y))) (* (sqrt (/ 1/2 y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (/ (sqrt 1/2) (sqrt y))) (* (sqrt (+ x y)) (/ (sqrt 1/2) (sqrt y))) (* (cbrt (/ 1/2 y)) (* (+ x y) (cbrt (/ 1/2 y)))) (* (sqrt (/ 1/2 y)) (+ x y)) (/ (+ x y) (* (/ (cbrt y) (cbrt 1/2)) (/ (cbrt y) (cbrt 1/2)))) (/ (* (cbrt 1/2) (+ x y)) (/ (sqrt y) (cbrt 1/2))) (* (+ x y) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (+ x y) (cbrt y)) (/ (sqrt 1/2) (cbrt y))) (* (+ x y) (/ (sqrt 1/2) (sqrt y))) (* (sqrt 1/2) (+ x y)) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (+ x y) (+ x y) (* 1/2 (+ x y)) (* (cbrt (+ x y)) (/ 1/2 y)) (* (/ 1/2 y) (sqrt (+ x y))) (/ (* 1/2 (+ x y)) y) (/ (* 1/2 (+ x y)) y) (* 1/2 (+ x y)) (/ (* 1/2 (+ (pow y 3) (pow x 3))) y) (/ (fma x x (- (* y y))) (/ y 1/2)) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) 5.562 * * * [progress]: adding candidates to table 5.808 * [progress]: [Phase 3 of 3] Extracting. 5.808 * * [regime]: Finding splitpoints for: (# # #) 5.808 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ x y) (+ y y)) y x) 5.808 * * * * [regimes]: Trying to branch on (/ (+ x y) (+ y y)) from (# # #) 5.858 * * * * [regimes]: Trying to branch on y from (# # #) 5.902 * * * * [regimes]: Trying to branch on x from (# # #) 5.959 * * * [regime]: Found split indices: #