24.992 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying: (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.036 * * [simplify]: iteration 0: 9 enodes 0.037 * * [simplify]: iteration 1: 18 enodes 0.040 * * [simplify]: iteration 2: 45 enodes 0.048 * * [simplify]: iteration 3: 77 enodes 0.057 * * [simplify]: iteration 4: 85 enodes 0.067 * * [simplify]: iteration 5: 93 enodes 0.076 * * [simplify]: iteration complete: 93 enodes 0.076 * * [simplify]: Extracting #0: cost 1 inf + 0 0.076 * * [simplify]: Extracting #1: cost 15 inf + 0 0.077 * * [simplify]: Extracting #2: cost 10 inf + 86 0.077 * * [simplify]: Extracting #3: cost 2 inf + 645 0.077 * * [simplify]: Extracting #4: cost 0 inf + 856 0.078 * [simplify]: Simplified to: (fma y (fma 2.0 x y) (* x x)) 0.082 * * [progress]: iteration 1 / 4 0.083 * * * [progress]: picking best candidate 0.098 * * * * [pick]: Picked # 0.098 * * * [progress]: localizing error 0.108 * * * [progress]: generating rewritten candidates 0.108 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.108 * * * [progress]: generating series expansions 0.108 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.109 * [backup-simplify]: Simplify (fma y (fma 2.0 x y) (* x x)) into (fma y (fma 2.0 x y) (pow x 2)) 0.109 * [approximate]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in (y x) around 0 0.109 * [taylor]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in x 0.109 * [taylor]: Rewrote expression to (+ (* y (fma 2.0 x y)) (pow x 2)) 0.109 * [taylor]: Taking taylor expansion of (* y (fma 2.0 x y)) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [backup-simplify]: Simplify y into y 0.109 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.109 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.109 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.109 * [taylor]: Taking taylor expansion of 2.0 in x 0.109 * [backup-simplify]: Simplify 2.0 into 2.0 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [backup-simplify]: Simplify y into y 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [taylor]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in y 0.109 * [taylor]: Rewrote expression to (+ (* y (fma 2.0 x y)) (pow x 2)) 0.109 * [taylor]: Taking taylor expansion of (* y (fma 2.0 x 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 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in y 0.109 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.109 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.109 * [taylor]: Taking taylor expansion of 2.0 in y 0.109 * [backup-simplify]: Simplify 2.0 into 2.0 0.109 * [taylor]: Taking taylor expansion of x in y 0.109 * [backup-simplify]: Simplify x into x 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.110 * [taylor]: Taking taylor expansion of x in y 0.110 * [backup-simplify]: Simplify x into x 0.110 * [taylor]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in y 0.110 * [taylor]: Rewrote expression to (+ (* y (fma 2.0 x y)) (pow x 2)) 0.110 * [taylor]: Taking taylor expansion of (* y (fma 2.0 x y)) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in y 0.110 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.110 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.110 * [taylor]: Taking taylor expansion of 2.0 in y 0.110 * [backup-simplify]: Simplify 2.0 into 2.0 0.110 * [taylor]: Taking taylor expansion of x in y 0.110 * [backup-simplify]: Simplify x into x 0.110 * [taylor]: Taking taylor expansion of y in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.110 * [taylor]: Taking taylor expansion of x in y 0.110 * [backup-simplify]: Simplify x into x 0.110 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 0.110 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 0.110 * [backup-simplify]: Simplify (* 0 (* 2.0 x)) into 0 0.110 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.110 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 x)) into 0 0.112 * [backup-simplify]: Simplify (+ 0 1) into 1 0.112 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2.0 x))) into (* 2.0 x) 0.112 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.112 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 0.112 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.112 * [taylor]: Taking taylor expansion of 2.0 in x 0.112 * [backup-simplify]: Simplify 2.0 into 2.0 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 x))) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2.0 x)))) into 1 0.115 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.115 * [backup-simplify]: Simplify (+ 1 0) into 1 0.115 * [taylor]: Taking taylor expansion of 1 in x 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.116 * [backup-simplify]: Simplify 2.0 into 2.0 0.116 * [backup-simplify]: Simplify (* 1 1) into 1 0.116 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2.0 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.117 * [backup-simplify]: Simplify (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (* (/ 1 x) (/ 1 x))) into (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (/ 1 (pow x 2))) 0.117 * [approximate]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (/ 1 (pow x 2))) in (y x) around 0 0.117 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (/ 1 (pow x 2))) in x 0.117 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) (/ 1 (pow x 2))) 0.117 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [backup-simplify]: Simplify y into y 0.117 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.117 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.117 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.117 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.117 * [taylor]: Taking taylor expansion of 2.0 in x 0.117 * [backup-simplify]: Simplify 2.0 into 2.0 0.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [backup-simplify]: Simplify y into y 0.118 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (* 1 1) into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (/ 1 (pow x 2))) in y 0.119 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) (/ 1 (pow x 2))) 0.119 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in y 0.119 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.119 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.119 * [taylor]: Taking taylor expansion of 2.0 in y 0.119 * [backup-simplify]: Simplify 2.0 into 2.0 0.119 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.119 * [taylor]: Taking taylor expansion of x in y 0.119 * [backup-simplify]: Simplify x into x 0.120 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.120 * [taylor]: Taking taylor expansion of x in y 0.120 * [backup-simplify]: Simplify x into x 0.120 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.120 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.120 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (/ 1 (pow x 2))) in y 0.121 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) (/ 1 (pow x 2))) 0.121 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in y 0.121 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.121 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.122 * [taylor]: Taking taylor expansion of 2.0 in y 0.122 * [backup-simplify]: Simplify 2.0 into 2.0 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.122 * [taylor]: Taking taylor expansion of x in y 0.122 * [backup-simplify]: Simplify x into x 0.122 * [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 (/ 1 (pow x 2)) in y 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.122 * [taylor]: Taking taylor expansion of x in y 0.122 * [backup-simplify]: Simplify x into x 0.122 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.123 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.123 * [backup-simplify]: Simplify (+ 0 1) into 1 0.124 * [backup-simplify]: Simplify (* 1 1) into 1 0.124 * [backup-simplify]: Simplify (+ 1 0) into 1 0.124 * [taylor]: Taking taylor expansion of 1 in x 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ (/ 2.0 x) 0) into (* 2.0 (/ 1 x)) 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 (* 2.0 (/ 1 x))) (* 0 1)) into (* 2.0 (/ 1 x)) 0.127 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 x)) 0) into (* 2.0 (/ 1 x)) 0.127 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.127 * [taylor]: Taking taylor expansion of 2.0 in x 0.127 * [backup-simplify]: Simplify 2.0 into 2.0 0.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (/ 1 1) into 1 0.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.128 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2.0 (/ 1 x))) (* 0 1))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (* 1 1) into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.133 * [backup-simplify]: Simplify 2.0 into 2.0 0.133 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.134 * [backup-simplify]: Simplify (fma (/ 1 (- y)) (fma 2.0 (/ 1 (- x)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))) into (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (/ 1 (pow x 2))) 0.134 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (/ 1 (pow x 2))) in (y x) around 0 0.134 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (/ 1 (pow x 2))) in x 0.134 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) (/ 1 (pow x 2))) 0.134 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) in x 0.134 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.135 * [taylor]: Taking taylor expansion of -1 in x 0.135 * [backup-simplify]: Simplify -1 into -1 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [backup-simplify]: Simplify y into y 0.135 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.135 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.135 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.135 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.135 * [taylor]: Taking taylor expansion of 2.0 in x 0.135 * [backup-simplify]: Simplify 2.0 into 2.0 0.135 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.135 * [taylor]: Taking taylor expansion of -1 in x 0.135 * [backup-simplify]: Simplify -1 into -1 0.135 * [taylor]: Taking taylor expansion of x in x 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 y) in x 0.136 * [taylor]: Taking taylor expansion of -1 in x 0.136 * [backup-simplify]: Simplify -1 into -1 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 (pow x 2)) in x 0.136 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (/ 1 (pow x 2))) in y 0.137 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) (/ 1 (pow x 2))) 0.137 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) in y 0.137 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.138 * [taylor]: Taking taylor expansion of -1 in y 0.138 * [backup-simplify]: Simplify -1 into -1 0.138 * [taylor]: Taking taylor expansion of y in y 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (/ -1 1) into -1 0.138 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in y 0.138 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.139 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.139 * [taylor]: Taking taylor expansion of 2.0 in y 0.139 * [backup-simplify]: Simplify 2.0 into 2.0 0.139 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.139 * [taylor]: Taking taylor expansion of -1 in y 0.139 * [backup-simplify]: Simplify -1 into -1 0.139 * [taylor]: Taking taylor expansion of x in y 0.139 * [backup-simplify]: Simplify x into x 0.139 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.139 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.139 * [taylor]: Taking taylor expansion of -1 in y 0.139 * [backup-simplify]: Simplify -1 into -1 0.139 * [taylor]: Taking taylor expansion of y in y 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (/ -1 1) into -1 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.140 * [taylor]: Taking taylor expansion of x in y 0.140 * [backup-simplify]: Simplify x into x 0.140 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.140 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.140 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (/ 1 (pow x 2))) in y 0.140 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) (/ 1 (pow x 2))) 0.140 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) in y 0.140 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.140 * [taylor]: Taking taylor expansion of -1 in y 0.140 * [backup-simplify]: Simplify -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 0.141 * [backup-simplify]: Simplify (/ -1 1) into -1 0.141 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in y 0.141 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.141 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.141 * [taylor]: Taking taylor expansion of 2.0 in y 0.141 * [backup-simplify]: Simplify 2.0 into 2.0 0.141 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.141 * [taylor]: Taking taylor expansion of -1 in y 0.141 * [backup-simplify]: Simplify -1 into -1 0.141 * [taylor]: Taking taylor expansion of x in y 0.141 * [backup-simplify]: Simplify x into x 0.141 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.142 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.142 * [taylor]: Taking taylor expansion of -1 in y 0.142 * [backup-simplify]: Simplify -1 into -1 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 1) into -1 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [backup-simplify]: Simplify x into x 0.142 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.143 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.143 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.144 * [backup-simplify]: Simplify (* -1 -1) into 1 0.144 * [backup-simplify]: Simplify (+ 1 0) into 1 0.144 * [taylor]: Taking taylor expansion of 1 in x 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (* 2.0 (/ -1 x)) into (/ -2.0 x) 0.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ (/ -2.0 x) 0) into (- (* 2.0 (/ 1 x))) 0.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ (* -1 (- (* 2.0 (/ 1 x)))) (* 0 -1)) into (* 2.0 (/ 1 x)) 0.147 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 x)) 0) into (* 2.0 (/ 1 x)) 0.147 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.147 * [taylor]: Taking taylor expansion of 2.0 in x 0.147 * [backup-simplify]: Simplify 2.0 into 2.0 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 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.148 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ -1 x))) into 0 0.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2.0 (/ 1 x)))) (* 0 -1))) into 0 0.152 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (* 1 1) into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.154 * [backup-simplify]: Simplify 2.0 into 2.0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.155 * * * [progress]: simplifying candidates 0.155 * [simplify]: Simplifying: (expm1 (fma y (fma 2.0 x y) (* x x))) (log1p (fma y (fma 2.0 x y) (* x x))) (* y (fma 2.0 x y)) (log (fma y (fma 2.0 x y) (* x x))) (exp (fma y (fma 2.0 x y) (* x x))) (* (cbrt (fma y (fma 2.0 x y) (* x x))) (cbrt (fma y (fma 2.0 x y) (* x x)))) (cbrt (fma y (fma 2.0 x y) (* x x))) (* (* (fma y (fma 2.0 x y) (* x x)) (fma y (fma 2.0 x y) (* x x))) (fma y (fma 2.0 x y) (* x x))) (sqrt (fma y (fma 2.0 x y) (* x x))) (sqrt (fma y (fma 2.0 x y) (* x x))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.155 * * [simplify]: iteration 0: 23 enodes 0.161 * * [simplify]: iteration 1: 42 enodes 0.179 * * [simplify]: iteration 2: 127 enodes 0.254 * * [simplify]: iteration 3: 547 enodes 0.472 * * [simplify]: iteration complete: 5000 enodes 0.472 * * [simplify]: Extracting #0: cost 10 inf + 0 0.473 * * [simplify]: Extracting #1: cost 423 inf + 0 0.479 * * [simplify]: Extracting #2: cost 1721 inf + 13620 0.540 * * [simplify]: Extracting #3: cost 964 inf + 271657 0.646 * * [simplify]: Extracting #4: cost 17 inf + 469653 0.760 * * [simplify]: Extracting #5: cost 0 inf + 475355 0.871 * [simplify]: Simplified to: (expm1 (fma y (fma 2.0 x y) (* x x))) (log1p (fma y (fma 2.0 x y) (* x x))) (* (fma 2.0 x y) y) (log (fma y (fma 2.0 x y) (* x x))) (exp (fma y (fma 2.0 x y) (* x x))) (* (cbrt (fma y (fma 2.0 x y) (* x x))) (cbrt (fma y (fma 2.0 x y) (* x x)))) (cbrt (fma y (fma 2.0 x y) (* x x))) (* (* (fma y (fma 2.0 x y) (* x x)) (fma y (fma 2.0 x y) (* x x))) (fma y (fma 2.0 x y) (* x x))) (sqrt (fma y (fma 2.0 x y) (* x x))) (sqrt (fma y (fma 2.0 x y) (* x x))) (fma y (fma 2.0 x y) (* x x)) (fma y (fma 2.0 x y) (* x x)) (fma y (fma 2.0 x y) (* x x)) 0.871 * * * [progress]: adding candidates to table 0.931 * * [progress]: iteration 2 / 4 0.931 * * * [progress]: picking best candidate 0.934 * * * * [pick]: Picked # 0.935 * * * [progress]: localizing error 0.951 * * * [progress]: generating rewritten candidates 0.951 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.962 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.000 * * * [progress]: generating series expansions 1.000 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 1.000 * [backup-simplify]: Simplify (+ (* x x) (* (* x 2.0) y)) into (+ (pow x 2) (* 2.0 (* x y))) 1.000 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 1.000 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 1.000 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.000 * [taylor]: Taking taylor expansion of x in y 1.000 * [backup-simplify]: Simplify x into x 1.000 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 1.000 * [taylor]: Taking taylor expansion of 2.0 in y 1.001 * [backup-simplify]: Simplify 2.0 into 2.0 1.001 * [taylor]: Taking taylor expansion of (* x y) in y 1.001 * [taylor]: Taking taylor expansion of x in y 1.001 * [backup-simplify]: Simplify x into x 1.001 * [taylor]: Taking taylor expansion of y in y 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 1.001 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.001 * [taylor]: Taking taylor expansion of 2.0 in x 1.001 * [backup-simplify]: Simplify 2.0 into 2.0 1.001 * [taylor]: Taking taylor expansion of (* x y) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [taylor]: Taking taylor expansion of y in x 1.001 * [backup-simplify]: Simplify y into y 1.001 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 1.001 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.001 * [taylor]: Taking taylor expansion of 2.0 in x 1.001 * [backup-simplify]: Simplify 2.0 into 2.0 1.001 * [taylor]: Taking taylor expansion of (* x y) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [taylor]: Taking taylor expansion of y in x 1.001 * [backup-simplify]: Simplify y into y 1.001 * [backup-simplify]: Simplify (* 0 y) into 0 1.002 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.003 * [backup-simplify]: Simplify (+ 0 0) into 0 1.003 * [taylor]: Taking taylor expansion of 0 in y 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.003 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 1.004 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 1.004 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 1.004 * [taylor]: Taking taylor expansion of 2.0 in y 1.004 * [backup-simplify]: Simplify 2.0 into 2.0 1.004 * [taylor]: Taking taylor expansion of y in y 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 1 into 1 1.004 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify (* 1 1) into 1 1.005 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.006 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 1.007 * [backup-simplify]: Simplify (+ 1 0) into 1 1.007 * [taylor]: Taking taylor expansion of 1 in y 1.007 * [backup-simplify]: Simplify 1 into 1 1.007 * [backup-simplify]: Simplify 1 into 1 1.008 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 1.008 * [backup-simplify]: Simplify 2.0 into 2.0 1.008 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.010 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.011 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 1.011 * [backup-simplify]: Simplify (+ 0 0) into 0 1.011 * [taylor]: Taking taylor expansion of 0 in y 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.015 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.016 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 1.016 * [backup-simplify]: Simplify (+ 0 0) into 0 1.016 * [taylor]: Taking taylor expansion of 0 in y 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 1.017 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 1.017 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 1.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.017 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.017 * [taylor]: Taking taylor expansion of x in y 1.017 * [backup-simplify]: Simplify x into x 1.017 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.018 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.018 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.018 * [taylor]: Taking taylor expansion of 2.0 in y 1.018 * [backup-simplify]: Simplify 2.0 into 2.0 1.018 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.018 * [taylor]: Taking taylor expansion of (* x y) in y 1.018 * [taylor]: Taking taylor expansion of x in y 1.018 * [backup-simplify]: Simplify x into x 1.018 * [taylor]: Taking taylor expansion of y in y 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 1 into 1 1.018 * [backup-simplify]: Simplify (* x 0) into 0 1.019 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.019 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.019 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 1 into 1 1.019 * [backup-simplify]: Simplify (* 1 1) into 1 1.020 * [backup-simplify]: Simplify (/ 1 1) into 1 1.020 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.020 * [taylor]: Taking taylor expansion of 2.0 in x 1.020 * [backup-simplify]: Simplify 2.0 into 2.0 1.020 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.020 * [taylor]: Taking taylor expansion of (* x y) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [taylor]: Taking taylor expansion of y in x 1.020 * [backup-simplify]: Simplify y into y 1.020 * [backup-simplify]: Simplify (* 0 y) into 0 1.020 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.020 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.020 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.021 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify 1 into 1 1.021 * [backup-simplify]: Simplify (* 1 1) into 1 1.021 * [backup-simplify]: Simplify (/ 1 1) into 1 1.021 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.021 * [taylor]: Taking taylor expansion of 2.0 in x 1.021 * [backup-simplify]: Simplify 2.0 into 2.0 1.021 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.021 * [taylor]: Taking taylor expansion of (* x y) in x 1.021 * [taylor]: Taking taylor expansion of x in x 1.021 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify 1 into 1 1.021 * [taylor]: Taking taylor expansion of y in x 1.021 * [backup-simplify]: Simplify y into y 1.022 * [backup-simplify]: Simplify (* 0 y) into 0 1.022 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.022 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.022 * [backup-simplify]: Simplify (+ 1 0) into 1 1.022 * [taylor]: Taking taylor expansion of 1 in y 1.023 * [backup-simplify]: Simplify 1 into 1 1.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.024 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 1.024 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 1.024 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.024 * [taylor]: Taking taylor expansion of 2.0 in y 1.024 * [backup-simplify]: Simplify 2.0 into 2.0 1.024 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.024 * [taylor]: Taking taylor expansion of y in y 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify 1 into 1 1.025 * [backup-simplify]: Simplify (/ 1 1) into 1 1.025 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.025 * [backup-simplify]: Simplify 2.0 into 2.0 1.025 * [backup-simplify]: Simplify 1 into 1 1.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.027 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.028 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 1.028 * [backup-simplify]: Simplify (+ 0 0) into 0 1.028 * [taylor]: Taking taylor expansion of 0 in y 1.028 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.029 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.035 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.036 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.036 * [backup-simplify]: Simplify (+ 0 0) into 0 1.036 * [taylor]: Taking taylor expansion of 0 in y 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.037 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.041 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.042 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 1.043 * [backup-simplify]: Simplify (+ 0 0) into 0 1.043 * [taylor]: Taking taylor expansion of 0 in y 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2.0 (* x y))) 1.043 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 1.043 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 1.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 1.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.043 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.043 * [taylor]: Taking taylor expansion of x in y 1.043 * [backup-simplify]: Simplify x into x 1.043 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.044 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.044 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.044 * [taylor]: Taking taylor expansion of 2.0 in y 1.044 * [backup-simplify]: Simplify 2.0 into 2.0 1.044 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.044 * [taylor]: Taking taylor expansion of (* x y) in y 1.044 * [taylor]: Taking taylor expansion of x in y 1.044 * [backup-simplify]: Simplify x into x 1.044 * [taylor]: Taking taylor expansion of y in y 1.044 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify 1 into 1 1.044 * [backup-simplify]: Simplify (* x 0) into 0 1.044 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.044 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 1.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.044 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify 1 into 1 1.045 * [backup-simplify]: Simplify (* 1 1) into 1 1.045 * [backup-simplify]: Simplify (/ 1 1) into 1 1.045 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.045 * [taylor]: Taking taylor expansion of 2.0 in x 1.045 * [backup-simplify]: Simplify 2.0 into 2.0 1.045 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.045 * [taylor]: Taking taylor expansion of (* x y) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify 1 into 1 1.045 * [taylor]: Taking taylor expansion of y in x 1.045 * [backup-simplify]: Simplify y into y 1.045 * [backup-simplify]: Simplify (* 0 y) into 0 1.045 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.045 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify 1 into 1 1.046 * [backup-simplify]: Simplify (* 1 1) into 1 1.046 * [backup-simplify]: Simplify (/ 1 1) into 1 1.046 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.046 * [taylor]: Taking taylor expansion of 2.0 in x 1.046 * [backup-simplify]: Simplify 2.0 into 2.0 1.046 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.046 * [taylor]: Taking taylor expansion of (* x y) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify 1 into 1 1.046 * [taylor]: Taking taylor expansion of y in x 1.046 * [backup-simplify]: Simplify y into y 1.046 * [backup-simplify]: Simplify (* 0 y) into 0 1.046 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.047 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.047 * [backup-simplify]: Simplify (+ 1 0) into 1 1.047 * [taylor]: Taking taylor expansion of 1 in y 1.047 * [backup-simplify]: Simplify 1 into 1 1.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.048 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 1.048 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 1.048 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.048 * [taylor]: Taking taylor expansion of 2.0 in y 1.048 * [backup-simplify]: Simplify 2.0 into 2.0 1.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.048 * [taylor]: Taking taylor expansion of y in y 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify 1 into 1 1.048 * [backup-simplify]: Simplify (/ 1 1) into 1 1.049 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.049 * [backup-simplify]: Simplify 2.0 into 2.0 1.049 * [backup-simplify]: Simplify 1 into 1 1.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.051 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 1.051 * [backup-simplify]: Simplify (+ 0 0) into 0 1.051 * [taylor]: Taking taylor expansion of 0 in y 1.051 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.052 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.055 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.056 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.056 * [backup-simplify]: Simplify (+ 0 0) into 0 1.056 * [taylor]: Taking taylor expansion of 0 in y 1.056 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.058 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.063 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 1.063 * [backup-simplify]: Simplify (+ 0 0) into 0 1.063 * [taylor]: Taking taylor expansion of 0 in y 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2.0 (* x y))) 1.064 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.064 * [backup-simplify]: Simplify (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 1.064 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in (x y) around 0 1.064 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y 1.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.064 * [taylor]: Taking taylor expansion of y in y 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify 1 into 1 1.064 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 1.064 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.064 * [taylor]: Taking taylor expansion of x in y 1.064 * [backup-simplify]: Simplify x into x 1.064 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 1.064 * [taylor]: Taking taylor expansion of 2.0 in y 1.064 * [backup-simplify]: Simplify 2.0 into 2.0 1.065 * [taylor]: Taking taylor expansion of (* x y) in y 1.065 * [taylor]: Taking taylor expansion of x in y 1.065 * [backup-simplify]: Simplify x into x 1.065 * [taylor]: Taking taylor expansion of y in y 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 1 into 1 1.065 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x 1.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.065 * [taylor]: Taking taylor expansion of y in x 1.065 * [backup-simplify]: Simplify y into y 1.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 1.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 1 into 1 1.065 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.065 * [taylor]: Taking taylor expansion of 2.0 in x 1.065 * [backup-simplify]: Simplify 2.0 into 2.0 1.065 * [taylor]: Taking taylor expansion of (* x y) in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 1 into 1 1.065 * [taylor]: Taking taylor expansion of y in x 1.065 * [backup-simplify]: Simplify y into y 1.065 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x 1.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.065 * [taylor]: Taking taylor expansion of y in x 1.065 * [backup-simplify]: Simplify y into y 1.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 1.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 1 into 1 1.065 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.065 * [taylor]: Taking taylor expansion of 2.0 in x 1.065 * [backup-simplify]: Simplify 2.0 into 2.0 1.065 * [taylor]: Taking taylor expansion of (* x y) in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 1 into 1 1.065 * [taylor]: Taking taylor expansion of y in x 1.065 * [backup-simplify]: Simplify y into y 1.066 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.066 * [backup-simplify]: Simplify (* 0 y) into 0 1.066 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.067 * [backup-simplify]: Simplify (+ 0 0) into 0 1.067 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.067 * [taylor]: Taking taylor expansion of y in y 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify 1 into 1 1.067 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.067 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.068 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 1.068 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 1.068 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 1.068 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 1.068 * [taylor]: Taking taylor expansion of 2.0 in y 1.068 * [backup-simplify]: Simplify 2.0 into 2.0 1.068 * [taylor]: Taking taylor expansion of y in y 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.069 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.069 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.070 * [backup-simplify]: Simplify (* 1 1) into 1 1.071 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.071 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 1.072 * [backup-simplify]: Simplify (+ 1 0) into 1 1.072 * [backup-simplify]: Simplify (+ 0 1) into 1 1.072 * [taylor]: Taking taylor expansion of 1 in y 1.072 * [backup-simplify]: Simplify 1 into 1 1.072 * [backup-simplify]: Simplify 1 into 1 1.073 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 1.073 * [backup-simplify]: Simplify 2.0 into 2.0 1.074 * [backup-simplify]: Simplify (* 1 1) into 1 1.074 * [backup-simplify]: Simplify 1 into 1 1.074 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 1.075 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) 1.075 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 1.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.075 * [taylor]: Taking taylor expansion of y in y 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 1 into 1 1.075 * [backup-simplify]: Simplify (* 1 1) into 1 1.076 * [backup-simplify]: Simplify (/ 1 1) into 1 1.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 1.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.076 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.076 * [taylor]: Taking taylor expansion of x in y 1.076 * [backup-simplify]: Simplify x into x 1.076 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.076 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.076 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.076 * [taylor]: Taking taylor expansion of 2.0 in y 1.076 * [backup-simplify]: Simplify 2.0 into 2.0 1.076 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.076 * [taylor]: Taking taylor expansion of (* x y) in y 1.076 * [taylor]: Taking taylor expansion of x in y 1.076 * [backup-simplify]: Simplify x into x 1.076 * [taylor]: Taking taylor expansion of y in y 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 1 into 1 1.076 * [backup-simplify]: Simplify (* x 0) into 0 1.077 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.077 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.077 * [taylor]: Taking taylor expansion of y in x 1.077 * [backup-simplify]: Simplify y into y 1.077 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.077 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 1 into 1 1.078 * [backup-simplify]: Simplify (* 1 1) into 1 1.078 * [backup-simplify]: Simplify (/ 1 1) into 1 1.078 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.078 * [taylor]: Taking taylor expansion of 2.0 in x 1.078 * [backup-simplify]: Simplify 2.0 into 2.0 1.078 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.078 * [taylor]: Taking taylor expansion of (* x y) in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 1 into 1 1.078 * [taylor]: Taking taylor expansion of y in x 1.078 * [backup-simplify]: Simplify y into y 1.078 * [backup-simplify]: Simplify (* 0 y) into 0 1.079 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.079 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 1.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.079 * [taylor]: Taking taylor expansion of y in x 1.079 * [backup-simplify]: Simplify y into y 1.079 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.079 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 1.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 1 into 1 1.080 * [backup-simplify]: Simplify (* 1 1) into 1 1.080 * [backup-simplify]: Simplify (/ 1 1) into 1 1.080 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.080 * [taylor]: Taking taylor expansion of 2.0 in x 1.080 * [backup-simplify]: Simplify 2.0 into 2.0 1.080 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.080 * [taylor]: Taking taylor expansion of (* x y) in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify 1 into 1 1.080 * [taylor]: Taking taylor expansion of y in x 1.080 * [backup-simplify]: Simplify y into y 1.080 * [backup-simplify]: Simplify (* 0 y) into 0 1.081 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.081 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.081 * [backup-simplify]: Simplify (+ 1 0) into 1 1.082 * [backup-simplify]: Simplify (+ 0 1) into 1 1.082 * [taylor]: Taking taylor expansion of 1 in y 1.082 * [backup-simplify]: Simplify 1 into 1 1.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.083 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 1.083 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 1.083 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 1.083 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.083 * [taylor]: Taking taylor expansion of 2.0 in y 1.083 * [backup-simplify]: Simplify 2.0 into 2.0 1.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.083 * [taylor]: Taking taylor expansion of y in y 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 1 into 1 1.084 * [backup-simplify]: Simplify (/ 1 1) into 1 1.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.087 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 1.087 * [backup-simplify]: Simplify (+ 0 0) into 0 1.087 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.087 * [taylor]: Taking taylor expansion of y in y 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify 1 into 1 1.088 * [backup-simplify]: Simplify (* 1 1) into 1 1.088 * [backup-simplify]: Simplify (/ 1 1) into 1 1.088 * [backup-simplify]: Simplify 1 into 1 1.089 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.089 * [backup-simplify]: Simplify 2.0 into 2.0 1.089 * [backup-simplify]: Simplify 1 into 1 1.089 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 1.090 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) 1.090 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 1.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 1.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.090 * [taylor]: Taking taylor expansion of y in y 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 1 into 1 1.090 * [backup-simplify]: Simplify (* 1 1) into 1 1.091 * [backup-simplify]: Simplify (/ 1 1) into 1 1.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 1.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.091 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.091 * [taylor]: Taking taylor expansion of x in y 1.091 * [backup-simplify]: Simplify x into x 1.091 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.091 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.091 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.091 * [taylor]: Taking taylor expansion of 2.0 in y 1.091 * [backup-simplify]: Simplify 2.0 into 2.0 1.091 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.091 * [taylor]: Taking taylor expansion of (* x y) in y 1.091 * [taylor]: Taking taylor expansion of x in y 1.091 * [backup-simplify]: Simplify x into x 1.091 * [taylor]: Taking taylor expansion of y in y 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify 1 into 1 1.091 * [backup-simplify]: Simplify (* x 0) into 0 1.092 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.092 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.092 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.092 * [taylor]: Taking taylor expansion of y in x 1.092 * [backup-simplify]: Simplify y into y 1.092 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.092 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify (* 1 1) into 1 1.093 * [backup-simplify]: Simplify (/ 1 1) into 1 1.093 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.093 * [taylor]: Taking taylor expansion of 2.0 in x 1.093 * [backup-simplify]: Simplify 2.0 into 2.0 1.093 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.093 * [taylor]: Taking taylor expansion of (* x y) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [taylor]: Taking taylor expansion of y in x 1.093 * [backup-simplify]: Simplify y into y 1.093 * [backup-simplify]: Simplify (* 0 y) into 0 1.094 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.094 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 1.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.094 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.094 * [taylor]: Taking taylor expansion of y in x 1.094 * [backup-simplify]: Simplify y into y 1.094 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.094 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 1.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.095 * [backup-simplify]: Simplify (* 1 1) into 1 1.095 * [backup-simplify]: Simplify (/ 1 1) into 1 1.095 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.095 * [taylor]: Taking taylor expansion of 2.0 in x 1.095 * [backup-simplify]: Simplify 2.0 into 2.0 1.095 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.095 * [taylor]: Taking taylor expansion of (* x y) in x 1.095 * [taylor]: Taking taylor expansion of x in x 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 1 into 1 1.095 * [taylor]: Taking taylor expansion of y in x 1.095 * [backup-simplify]: Simplify y into y 1.095 * [backup-simplify]: Simplify (* 0 y) into 0 1.096 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.096 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.096 * [backup-simplify]: Simplify (+ 1 0) into 1 1.097 * [backup-simplify]: Simplify (+ 0 1) into 1 1.097 * [taylor]: Taking taylor expansion of 1 in y 1.097 * [backup-simplify]: Simplify 1 into 1 1.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.098 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 1.098 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 1.098 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 1.098 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.098 * [taylor]: Taking taylor expansion of 2.0 in y 1.098 * [backup-simplify]: Simplify 2.0 into 2.0 1.098 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.098 * [taylor]: Taking taylor expansion of y in y 1.098 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify 1 into 1 1.099 * [backup-simplify]: Simplify (/ 1 1) into 1 1.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.102 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 1.102 * [backup-simplify]: Simplify (+ 0 0) into 0 1.102 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.102 * [taylor]: Taking taylor expansion of y in y 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify 1 into 1 1.103 * [backup-simplify]: Simplify (* 1 1) into 1 1.103 * [backup-simplify]: Simplify (/ 1 1) into 1 1.103 * [backup-simplify]: Simplify 1 into 1 1.104 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.104 * [backup-simplify]: Simplify 2.0 into 2.0 1.104 * [backup-simplify]: Simplify 1 into 1 1.104 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 1.105 * * * [progress]: simplifying candidates 1.105 * [simplify]: Simplifying: (expm1 (+ (* x x) (* (* x 2.0) y))) (log1p (+ (* x x) (* (* x 2.0) y))) (* (exp (* x x)) (exp (* (* x 2.0) y))) (log (+ (* x x) (* (* x 2.0) y))) (exp (+ (* x x) (* (* x 2.0) y))) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (* (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x x) (* (* x 2.0) y)))) (- (* (* x x) (* x x)) (* (* (* x 2.0) y) (* (* x 2.0) y))) (- (* x x) (* (* x 2.0) y)) (expm1 (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (log1p (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (exp (* x x)) (exp (* (* x 2.0) y))) (exp (* y y))) (* (exp (+ (* x x) (* (* x 2.0) y))) (exp (* y y))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y)))) (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y))) (- (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (* (* x 2.0) y) (* y y)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 1.106 * * [simplify]: iteration 0: 61 enodes 1.125 * * [simplify]: iteration 1: 223 enodes 1.310 * * [simplify]: iteration 2: 1562 enodes 2.442 * * [simplify]: iteration complete: 5000 enodes 2.442 * * [simplify]: Extracting #0: cost 27 inf + 0 2.444 * * [simplify]: Extracting #1: cost 452 inf + 0 2.453 * * [simplify]: Extracting #2: cost 1382 inf + 1734 2.481 * * [simplify]: Extracting #3: cost 846 inf + 56535 2.519 * * [simplify]: Extracting #4: cost 308 inf + 131006 2.590 * * [simplify]: Extracting #5: cost 25 inf + 191227 2.663 * * [simplify]: Extracting #6: cost 0 inf + 197673 2.730 * [simplify]: Simplified to: (expm1 (* x (fma y 2.0 x))) (log1p (* x (fma y 2.0 x))) (exp (* x (fma y 2.0 x))) (log (* x (fma y 2.0 x))) (exp (* x (fma y 2.0 x))) (* (cbrt (* x (fma y 2.0 x))) (cbrt (* x (fma y 2.0 x)))) (cbrt (* x (fma y 2.0 x))) (* (* x (fma y 2.0 x)) (* (* x (fma y 2.0 x)) (* x (fma y 2.0 x)))) (sqrt (* x (fma y 2.0 x))) (sqrt (* x (fma y 2.0 x))) (fma (* (* (* (* x 2.0) y) (* (* x 2.0) y)) y) (* x 2.0) (* (* x x) (* (* x x) (* x x)))) (fma (* x x) (* x x) (* (- (* (* x y) 2.0) (* x x)) (* (* x y) 2.0))) (- (* (* x x) (* x x)) (* (* (* x 2.0) y) (* (* x 2.0) y))) (* x (- x (* 2.0 y))) (expm1 (fma x (fma y 2.0 x) (* y y))) (log1p (fma x (fma y 2.0 x) (* y y))) (exp (fma x (fma y 2.0 x) (* y y))) (exp (fma x (fma y 2.0 x) (* y y))) (log (fma x (fma y 2.0 x) (* y y))) (exp (fma x (fma y 2.0 x) (* y y))) (* (cbrt (fma x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y)))) (cbrt (fma x (fma y 2.0 x) (* y y))) (* (fma x (fma y 2.0 x) (* y y)) (* (fma x (fma y 2.0 x) (* y y)) (fma x (fma y 2.0 x) (* y y)))) (sqrt (fma x (fma y 2.0 x) (* y y))) (sqrt (fma x (fma y 2.0 x) (* y y))) (fma (* y (* y y)) (* y (* y y)) (* (* x (fma y 2.0 x)) (* (* x (fma y 2.0 x)) (* x (fma y 2.0 x))))) (fma (- (* y y) (* x (fma y 2.0 x))) (* y y) (* (* x (fma y 2.0 x)) (* x (fma y 2.0 x)))) (* (+ (* x (fma y 2.0 x)) (* y y)) (- (* x (fma y 2.0 x)) (* y y))) (fma y (- (* x 2.0) y) (* x x)) (* y (fma 2.0 x y)) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (fma x (fma y 2.0 x) (* y y)) (fma x (fma y 2.0 x) (* y y)) (fma x (fma y 2.0 x) (* y y)) 2.732 * * * [progress]: adding candidates to table 2.954 * * [progress]: iteration 3 / 4 2.954 * * * [progress]: picking best candidate 2.960 * * * * [pick]: Picked # 2.960 * * * [progress]: localizing error 2.976 * * * [progress]: generating rewritten candidates 2.976 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.984 * * * [progress]: generating series expansions 2.984 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.985 * [backup-simplify]: Simplify (+ (* x (fma y 2.0 x)) (* y y)) into (+ (pow y 2) (* x (fma y 2.0 x))) 2.985 * [approximate]: Taking taylor expansion of (+ (pow y 2) (* x (fma y 2.0 x))) in (x y) around 0 2.985 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x (fma y 2.0 x))) in y 2.985 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.985 * [taylor]: Taking taylor expansion of y in y 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify 1 into 1 2.985 * [taylor]: Taking taylor expansion of (* x (fma y 2.0 x)) in y 2.985 * [taylor]: Taking taylor expansion of x in y 2.985 * [backup-simplify]: Simplify x into x 2.985 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in y 2.985 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 2.985 * [taylor]: Taking taylor expansion of (* y 2.0) in y 2.985 * [taylor]: Taking taylor expansion of y in y 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify 1 into 1 2.985 * [taylor]: Taking taylor expansion of 2.0 in y 2.985 * [backup-simplify]: Simplify 2.0 into 2.0 2.985 * [taylor]: Taking taylor expansion of x in y 2.985 * [backup-simplify]: Simplify x into x 2.985 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x (fma y 2.0 x))) in x 2.985 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.985 * [taylor]: Taking taylor expansion of y in x 2.986 * [backup-simplify]: Simplify y into y 2.986 * [taylor]: Taking taylor expansion of (* x (fma y 2.0 x)) in x 2.986 * [taylor]: Taking taylor expansion of x in x 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in x 2.986 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 2.986 * [taylor]: Taking taylor expansion of (* y 2.0) in x 2.986 * [taylor]: Taking taylor expansion of y in x 2.986 * [backup-simplify]: Simplify y into y 2.986 * [taylor]: Taking taylor expansion of 2.0 in x 2.986 * [backup-simplify]: Simplify 2.0 into 2.0 2.986 * [taylor]: Taking taylor expansion of x in x 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x (fma y 2.0 x))) in x 2.986 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.986 * [taylor]: Taking taylor expansion of y in x 2.986 * [backup-simplify]: Simplify y into y 2.986 * [taylor]: Taking taylor expansion of (* x (fma y 2.0 x)) in x 2.986 * [taylor]: Taking taylor expansion of x in x 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in x 2.986 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 2.986 * [taylor]: Taking taylor expansion of (* y 2.0) in x 2.986 * [taylor]: Taking taylor expansion of y in x 2.986 * [backup-simplify]: Simplify y into y 2.986 * [taylor]: Taking taylor expansion of 2.0 in x 2.986 * [backup-simplify]: Simplify 2.0 into 2.0 2.986 * [taylor]: Taking taylor expansion of x in x 2.986 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify 1 into 1 2.987 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.987 * [backup-simplify]: Simplify (* y 2.0) into (* 2.0 y) 2.987 * [backup-simplify]: Simplify (+ (* 2.0 y) 0) into (* 2.0 y) 2.987 * [backup-simplify]: Simplify (* 0 (* 2.0 y)) into 0 2.987 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.987 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.987 * [taylor]: Taking taylor expansion of y in y 2.987 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify 1 into 1 2.987 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.988 * [backup-simplify]: Simplify (+ (* y 0) (* 0 2.0)) into 0 2.988 * [backup-simplify]: Simplify (+ 0 1) into 1 2.989 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2.0 y))) into (* 2.0 y) 2.989 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 2.989 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 2.989 * [taylor]: Taking taylor expansion of 2.0 in y 2.989 * [backup-simplify]: Simplify 2.0 into 2.0 2.989 * [taylor]: Taking taylor expansion of y in y 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify 1 into 1 2.990 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.990 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.991 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 2.0))) into 0 2.991 * [backup-simplify]: Simplify (+ 0 0) into 0 2.992 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2.0 y)))) into 1 2.992 * [backup-simplify]: Simplify (+ 0 1) into 1 2.992 * [taylor]: Taking taylor expansion of 1 in y 2.992 * [backup-simplify]: Simplify 1 into 1 2.992 * [backup-simplify]: Simplify 1 into 1 2.994 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 2.994 * [backup-simplify]: Simplify 2.0 into 2.0 2.994 * [backup-simplify]: Simplify (* 1 1) into 1 2.994 * [backup-simplify]: Simplify 1 into 1 2.995 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 2.995 * [backup-simplify]: Simplify (+ (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ (fma (/ 1 y) 2.0 (/ 1 x)) x)) 2.995 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ (fma (/ 1 y) 2.0 (/ 1 x)) x)) in (x y) around 0 2.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ (fma (/ 1 y) 2.0 (/ 1 x)) x)) in y 2.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.995 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.995 * [taylor]: Taking taylor expansion of y in y 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 1 into 1 2.996 * [backup-simplify]: Simplify (* 1 1) into 1 2.996 * [backup-simplify]: Simplify (/ 1 1) into 1 2.996 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 y) 2.0 (/ 1 x)) x) in y 2.996 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in y 2.996 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 2.996 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in y 2.996 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.996 * [taylor]: Taking taylor expansion of y in y 2.996 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify 1 into 1 2.997 * [backup-simplify]: Simplify (/ 1 1) into 1 2.997 * [taylor]: Taking taylor expansion of 2.0 in y 2.997 * [backup-simplify]: Simplify 2.0 into 2.0 2.997 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.997 * [taylor]: Taking taylor expansion of x in y 2.997 * [backup-simplify]: Simplify x into x 2.997 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.997 * [taylor]: Taking taylor expansion of x in y 2.997 * [backup-simplify]: Simplify x into x 2.997 * [backup-simplify]: Simplify (* 1 2.0) into 2.0 2.998 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 2.998 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 2.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ (fma (/ 1 y) 2.0 (/ 1 x)) x)) in x 2.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.998 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.998 * [taylor]: Taking taylor expansion of y in x 2.998 * [backup-simplify]: Simplify y into y 2.998 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.998 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.998 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 y) 2.0 (/ 1 x)) x) in x 2.998 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in x 2.999 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 2.999 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in x 2.999 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.999 * [taylor]: Taking taylor expansion of y in x 2.999 * [backup-simplify]: Simplify y into y 2.999 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.999 * [taylor]: Taking taylor expansion of 2.0 in x 2.999 * [backup-simplify]: Simplify 2.0 into 2.0 2.999 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.999 * [taylor]: Taking taylor expansion of x in x 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1 into 1 2.999 * [backup-simplify]: Simplify (/ 1 1) into 1 2.999 * [taylor]: Taking taylor expansion of x in x 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1 into 1 3.000 * [backup-simplify]: Simplify (+ 0 1) into 1 3.000 * [backup-simplify]: Simplify (/ 1 1) into 1 3.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ (fma (/ 1 y) 2.0 (/ 1 x)) x)) in x 3.000 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.000 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.000 * [taylor]: Taking taylor expansion of y in x 3.000 * [backup-simplify]: Simplify y into y 3.000 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.001 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.001 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 y) 2.0 (/ 1 x)) x) in x 3.001 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in x 3.001 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 3.001 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in x 3.001 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.001 * [taylor]: Taking taylor expansion of y in x 3.001 * [backup-simplify]: Simplify y into y 3.001 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.001 * [taylor]: Taking taylor expansion of 2.0 in x 3.001 * [backup-simplify]: Simplify 2.0 into 2.0 3.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.001 * [taylor]: Taking taylor expansion of x in x 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 1 into 1 3.001 * [backup-simplify]: Simplify (/ 1 1) into 1 3.001 * [taylor]: Taking taylor expansion of x in x 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 1 into 1 3.002 * [backup-simplify]: Simplify (+ 0 1) into 1 3.002 * [backup-simplify]: Simplify (/ 1 1) into 1 3.003 * [backup-simplify]: Simplify (+ 0 1) into 1 3.003 * [taylor]: Taking taylor expansion of 1 in y 3.003 * [backup-simplify]: Simplify 1 into 1 3.003 * [backup-simplify]: Simplify (* (/ 1 y) 2.0) into (/ 2.0 y) 3.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.004 * [backup-simplify]: Simplify (+ (/ 2.0 y) 0) into (* 2.0 (/ 1 y)) 3.004 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 y)) 3.004 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 3.004 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 3.004 * [taylor]: Taking taylor expansion of 2.0 in y 3.004 * [backup-simplify]: Simplify 2.0 into 2.0 3.004 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.004 * [taylor]: Taking taylor expansion of y in y 3.004 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify 1 into 1 3.005 * [backup-simplify]: Simplify (/ 1 1) into 1 3.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.005 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 2.0)) into 0 3.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.006 * [backup-simplify]: Simplify (+ 0 0) into 0 3.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)))) into 0 3.007 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.007 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.007 * [taylor]: Taking taylor expansion of y in y 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify 1 into 1 3.008 * [backup-simplify]: Simplify (* 1 1) into 1 3.008 * [backup-simplify]: Simplify (/ 1 1) into 1 3.008 * [backup-simplify]: Simplify 1 into 1 3.009 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 3.009 * [backup-simplify]: Simplify 2.0 into 2.0 3.009 * [backup-simplify]: Simplify 1 into 1 3.009 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 3.010 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (fma (/ 1 (- y)) 2.0 (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow y 2)) (/ (fma (/ -1 y) 2.0 (/ -1 x)) x)) 3.010 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ (fma (/ -1 y) 2.0 (/ -1 x)) x)) in (x y) around 0 3.010 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ (fma (/ -1 y) 2.0 (/ -1 x)) x)) in y 3.010 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.010 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.010 * [taylor]: Taking taylor expansion of y in y 3.010 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify 1 into 1 3.010 * [backup-simplify]: Simplify (* 1 1) into 1 3.011 * [backup-simplify]: Simplify (/ 1 1) into 1 3.011 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 y) 2.0 (/ -1 x)) x) in y 3.011 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in y 3.011 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 3.011 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in y 3.011 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.011 * [taylor]: Taking taylor expansion of -1 in y 3.011 * [backup-simplify]: Simplify -1 into -1 3.011 * [taylor]: Taking taylor expansion of y in y 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify 1 into 1 3.011 * [backup-simplify]: Simplify (/ -1 1) into -1 3.012 * [taylor]: Taking taylor expansion of 2.0 in y 3.012 * [backup-simplify]: Simplify 2.0 into 2.0 3.012 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.012 * [taylor]: Taking taylor expansion of -1 in y 3.012 * [backup-simplify]: Simplify -1 into -1 3.012 * [taylor]: Taking taylor expansion of x in y 3.012 * [backup-simplify]: Simplify x into x 3.012 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.012 * [taylor]: Taking taylor expansion of x in y 3.012 * [backup-simplify]: Simplify x into x 3.012 * [backup-simplify]: Simplify (* -1 2.0) into -2.0 3.013 * [backup-simplify]: Simplify (+ -2.0 0) into (- 2.0) 3.013 * [backup-simplify]: Simplify (/ (- 2.0) x) into (/ -2.0 x) 3.013 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ (fma (/ -1 y) 2.0 (/ -1 x)) x)) in x 3.013 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.013 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.013 * [taylor]: Taking taylor expansion of y in x 3.013 * [backup-simplify]: Simplify y into y 3.013 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.013 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.013 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 y) 2.0 (/ -1 x)) x) in x 3.013 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in x 3.014 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 3.014 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in x 3.014 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.014 * [taylor]: Taking taylor expansion of -1 in x 3.014 * [backup-simplify]: Simplify -1 into -1 3.014 * [taylor]: Taking taylor expansion of y in x 3.014 * [backup-simplify]: Simplify y into y 3.014 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 3.014 * [taylor]: Taking taylor expansion of 2.0 in x 3.014 * [backup-simplify]: Simplify 2.0 into 2.0 3.014 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.014 * [taylor]: Taking taylor expansion of -1 in x 3.014 * [backup-simplify]: Simplify -1 into -1 3.014 * [taylor]: Taking taylor expansion of x in x 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify 1 into 1 3.015 * [backup-simplify]: Simplify (/ -1 1) into -1 3.015 * [taylor]: Taking taylor expansion of x in x 3.015 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify 1 into 1 3.015 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.015 * [backup-simplify]: Simplify (/ -1 1) into -1 3.015 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ (fma (/ -1 y) 2.0 (/ -1 x)) x)) in x 3.016 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.016 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.016 * [taylor]: Taking taylor expansion of y in x 3.016 * [backup-simplify]: Simplify y into y 3.016 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.016 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.016 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 y) 2.0 (/ -1 x)) x) in x 3.016 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in x 3.016 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 3.016 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in x 3.016 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.016 * [taylor]: Taking taylor expansion of -1 in x 3.016 * [backup-simplify]: Simplify -1 into -1 3.016 * [taylor]: Taking taylor expansion of y in x 3.016 * [backup-simplify]: Simplify y into y 3.016 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 3.016 * [taylor]: Taking taylor expansion of 2.0 in x 3.016 * [backup-simplify]: Simplify 2.0 into 2.0 3.016 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.016 * [taylor]: Taking taylor expansion of -1 in x 3.016 * [backup-simplify]: Simplify -1 into -1 3.016 * [taylor]: Taking taylor expansion of x in x 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 1 into 1 3.017 * [backup-simplify]: Simplify (/ -1 1) into -1 3.017 * [taylor]: Taking taylor expansion of x in x 3.017 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify 1 into 1 3.017 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.018 * [backup-simplify]: Simplify (/ -1 1) into -1 3.018 * [backup-simplify]: Simplify (- -1) into 1 3.019 * [backup-simplify]: Simplify (+ 0 1) into 1 3.019 * [taylor]: Taking taylor expansion of 1 in y 3.019 * [backup-simplify]: Simplify 1 into 1 3.019 * [backup-simplify]: Simplify (* (/ -1 y) 2.0) into (/ -2.0 y) 3.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.020 * [backup-simplify]: Simplify (+ (/ -2.0 y) 0) into (- (* 2.0 (/ 1 y))) 3.021 * [backup-simplify]: Simplify (- (/ (- (* 2.0 (/ 1 y))) 1) (+ (* -1 (/ 0 1)))) into (- (* 2.0 (/ 1 y))) 3.021 * [backup-simplify]: Simplify (- (- (* 2.0 (/ 1 y)))) into (* 2.0 (/ 1 y)) 3.021 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 3.021 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 3.021 * [taylor]: Taking taylor expansion of 2.0 in y 3.021 * [backup-simplify]: Simplify 2.0 into 2.0 3.021 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.021 * [taylor]: Taking taylor expansion of y in y 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify 1 into 1 3.022 * [backup-simplify]: Simplify (/ 1 1) into 1 3.022 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 3.022 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 2.0)) into 0 3.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.024 * [backup-simplify]: Simplify (+ 0 0) into 0 3.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2.0 (/ 1 y))) (/ 0 1)))) into 0 3.026 * [backup-simplify]: Simplify (- 0) into 0 3.026 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.026 * [taylor]: Taking taylor expansion of y in y 3.026 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify 1 into 1 3.026 * [backup-simplify]: Simplify (* 1 1) into 1 3.027 * [backup-simplify]: Simplify (/ 1 1) into 1 3.027 * [backup-simplify]: Simplify 1 into 1 3.027 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 3.027 * [backup-simplify]: Simplify 2.0 into 2.0 3.027 * [backup-simplify]: Simplify 1 into 1 3.028 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 3.028 * * * [progress]: simplifying candidates 3.029 * [simplify]: Simplifying: (expm1 (+ (* x (fma y 2.0 x)) (* y y))) (log1p (+ (* x (fma y 2.0 x)) (* y y))) (* (exp (* x (fma y 2.0 x))) (exp (* y y))) (log (+ (* x (fma y 2.0 x)) (* y y))) (exp (+ (* x (fma y 2.0 x)) (* y y))) (* (cbrt (+ (* x (fma y 2.0 x)) (* y y))) (cbrt (+ (* x (fma y 2.0 x)) (* y y)))) (cbrt (+ (* x (fma y 2.0 x)) (* y y))) (* (* (+ (* x (fma y 2.0 x)) (* y y)) (+ (* x (fma y 2.0 x)) (* y y))) (+ (* x (fma y 2.0 x)) (* y y))) (sqrt (+ (* x (fma y 2.0 x)) (* y y))) (sqrt (+ (* x (fma y 2.0 x)) (* y y))) (+ (pow (* x (fma y 2.0 x)) 3) (pow (* y y) 3)) (+ (* (* x (fma y 2.0 x)) (* x (fma y 2.0 x))) (- (* (* y y) (* y y)) (* (* x (fma y 2.0 x)) (* y y)))) (- (* (* x (fma y 2.0 x)) (* x (fma y 2.0 x))) (* (* y y) (* y y))) (- (* x (fma y 2.0 x)) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 3.029 * * [simplify]: iteration 0: 39 enodes 3.041 * * [simplify]: iteration 1: 136 enodes 3.116 * * [simplify]: iteration 2: 700 enodes 3.587 * * [simplify]: iteration complete: 5001 enodes 3.587 * * [simplify]: Extracting #0: cost 14 inf + 0 3.588 * * [simplify]: Extracting #1: cost 276 inf + 0 3.598 * * [simplify]: Extracting #2: cost 1901 inf + 14374 3.658 * * [simplify]: Extracting #3: cost 695 inf + 211590 3.748 * * [simplify]: Extracting #4: cost 76 inf + 338980 3.838 * * [simplify]: Extracting #5: cost 8 inf + 352714 3.929 * * [simplify]: Extracting #6: cost 0 inf + 355229 4.008 * [simplify]: Simplified to: (expm1 (fma x (fma y 2.0 x) (* y y))) (log1p (fma x (fma y 2.0 x) (* y y))) (exp (fma x (fma y 2.0 x) (* y y))) (log (fma x (fma y 2.0 x) (* y y))) (exp (fma x (fma y 2.0 x) (* y y))) (* (cbrt (fma x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y)))) (cbrt (fma x (fma y 2.0 x) (* y y))) (* (fma x (fma y 2.0 x) (* y y)) (* (fma x (fma y 2.0 x) (* y y)) (fma x (fma y 2.0 x) (* y y)))) (sqrt (fma x (fma y 2.0 x) (* y y))) (sqrt (fma x (fma y 2.0 x) (* y y))) (fma (* (fma y 2.0 x) x) (* (* (fma y 2.0 x) x) (* (fma y 2.0 x) x)) (* (* y (* y y)) (* y (* y y)))) (fma (* y y) (* y y) (* (* (fma y 2.0 x) x) (- (* (fma y 2.0 x) x) (* y y)))) (- (* (* (fma y 2.0 x) x) (* (fma y 2.0 x) x)) (* (* y y) (* y y))) (- (* (fma y 2.0 x) x) (* y y)) (fma y y (* x x)) (fma y y (* x x)) (fma y y (* x (+ x (* 2.0 y)))) (fma y y (* x (+ x (* 2.0 y)))) (fma y y (* x (+ x (* 2.0 y)))) 4.010 * * * [progress]: adding candidates to table 4.119 * [progress]: [Phase 3 of 3] Extracting. 4.119 * * [regime]: Finding splitpoints for: (# #) 4.120 * * * [regime-changes]: Trying 2 branch expressions: (y x) 4.120 * * * * [regimes]: Trying to branch on y from (# #) 4.173 * * * * [regimes]: Trying to branch on x from (# #) 4.221 * * * [regime]: Found split indices: #