4.954 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying: (- (* x x) (* y y)) 0.019 * [simplify]: Sending expressions to egg_math: (- (* h1 h1) (* h0 h0)) 0.021 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 18 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 35 enodes (cost 3 ) 0.024 * * [simplify]: iteration 3 : 67 enodes (cost 3 ) 0.026 * * [simplify]: iteration 4 : 163 enodes (cost 3 ) 0.029 * * [simplify]: iteration 5 : 294 enodes (cost 3 ) 0.032 * * [simplify]: iteration 6 : 541 enodes (cost 3 ) 0.042 * * [simplify]: iteration 7 : 2138 enodes (cost 3 ) 0.098 * * [simplify]: iteration 8 : 5001 enodes (cost 3 ) 0.099 * * [progress]: iteration 1 / 4 0.099 * * * [progress]: picking best candidate 0.100 * * * * [pick]: Picked # 0.100 * * * [progress]: localizing error 0.104 * * * [progress]: generating rewritten candidates 0.104 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.113 * * * [progress]: generating series expansions 0.113 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.113 * [backup-simplify]: Simplify (- (* x x) (* y y)) into (- (pow x 2) (pow y 2)) 0.113 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.113 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [backup-simplify]: Simplify x into x 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [backup-simplify]: Simplify y into y 0.113 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [backup-simplify]: Simplify y into y 0.113 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.113 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.113 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.113 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (* 1 1) into 1 0.115 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.115 * [backup-simplify]: Simplify (- 0) into 0 0.115 * [backup-simplify]: Simplify (+ 1 0) into 1 0.115 * [taylor]: Taking taylor expansion of 1 in y 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (* 1 1) into 1 0.116 * [backup-simplify]: Simplify (- 1) into -1 0.116 * [backup-simplify]: Simplify -1 into -1 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.117 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.118 * [backup-simplify]: Simplify (- 0) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.119 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.119 * [backup-simplify]: Simplify (- 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 0.120 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.120 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.120 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 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 (/ 1 (pow y 2)) in y 0.120 * [taylor]: Taking taylor expansion of (pow y 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.121 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.121 * [taylor]: Taking taylor expansion of y in x 0.121 * [backup-simplify]: Simplify y into y 0.121 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.121 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.121 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.121 * [taylor]: Taking taylor expansion of x in x 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 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [backup-simplify]: Simplify y into y 0.122 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.122 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.122 * [backup-simplify]: Simplify (+ 1 0) into 1 0.122 * [taylor]: Taking taylor expansion of 1 in y 0.122 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.124 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.124 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (* 1 1) into 1 0.125 * [backup-simplify]: Simplify (/ 1 1) into 1 0.125 * [backup-simplify]: Simplify (- 1) into -1 0.125 * [backup-simplify]: Simplify -1 into -1 0.125 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.127 * [backup-simplify]: Simplify (- 0) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (- 0) into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.130 * [backup-simplify]: Simplify (- 0) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (- 0) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 0.132 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.132 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.132 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [backup-simplify]: Simplify x into x 0.132 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.132 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (* 1 1) into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (* 1 1) into 1 0.133 * [backup-simplify]: Simplify (/ 1 1) into 1 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [backup-simplify]: Simplify y into y 0.133 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.133 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.133 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (* 1 1) into 1 0.134 * [backup-simplify]: Simplify (/ 1 1) into 1 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [backup-simplify]: Simplify y into y 0.134 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.134 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.134 * [backup-simplify]: Simplify (+ 1 0) into 1 0.134 * [taylor]: Taking taylor expansion of 1 in y 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.136 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.136 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.136 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [backup-simplify]: Simplify (- 1) into -1 0.139 * [backup-simplify]: Simplify -1 into -1 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 0.146 * * * [progress]: simplifying candidates 0.146 * [simplify]: Simplifying: (fma x x (- (* y y))) (fma (- y) y (* y y)) (expm1 (- (* x x) (* y y))) (log1p (- (* x x) (* y y))) (- (* y y)) (/ (exp (* x x)) (exp (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (* x x) (* y y)) (+ x y) (- x y) (- (* y y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.146 * [simplify]: Sending expressions to egg_math: (fma h1 h1 (- (* h0 h0))) (fma (- h0) h0 (* h0 h0)) (expm1 (- (* h1 h1) (* h0 h0))) (log1p (- (* h1 h1) (* h0 h0))) (- (* h0 h0)) (/ (exp (* h1 h1)) (exp (* h0 h0))) (log (- (* h1 h1) (* h0 h0))) (exp (- (* h1 h1) (* h0 h0))) (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0)))) (cbrt (- (* h1 h1) (* h0 h0))) (* (* (- (* h1 h1) (* h0 h0)) (- (* h1 h1) (* h0 h0))) (- (* h1 h1) (* h0 h0))) (sqrt (- (* h1 h1) (* h0 h0))) (sqrt (- (* h1 h1) (* h0 h0))) (- (pow (* h1 h1) 3) (pow (* h0 h0) 3)) (+ (* (* h1 h1) (* h1 h1)) (+ (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))) (- (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))) (+ (* h1 h1) (* h0 h0)) (+ h1 h0) (- h1 h0) (- (* h0 h0)) (- (pow h1 2) (pow h0 2)) (- (pow h1 2) (pow h0 2)) (- (pow h1 2) (pow h0 2)) 0.149 * * [simplify]: iteration 0 : 102 enodes (cost 97 ) 0.151 * * [simplify]: iteration 1 : 416 enodes (cost 87 ) 0.158 * * [simplify]: iteration 2 : 1403 enodes (cost 84 ) 0.184 * * [simplify]: iteration 3 : 5002 enodes (cost 80 ) 0.184 * * * [progress]: adding candidates to table 0.214 * * [progress]: iteration 2 / 4 0.214 * * * [progress]: picking best candidate 0.216 * * * * [pick]: Picked # 0.216 * * * [progress]: localizing error 0.221 * * * [progress]: generating rewritten candidates 0.221 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.259 * * * [progress]: generating series expansions 0.259 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.259 * [backup-simplify]: Simplify (* (+ x y) (- x y)) into (* (+ x y) (- x y)) 0.259 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 0.259 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.259 * [taylor]: Taking taylor expansion of (+ x y) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [backup-simplify]: Simplify x into x 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of (- x y) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [backup-simplify]: Simplify x into x 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.259 * [taylor]: Taking taylor expansion of (+ x y) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [backup-simplify]: Simplify y into y 0.260 * [taylor]: Taking taylor expansion of (- x y) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [backup-simplify]: Simplify y into y 0.260 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.260 * [taylor]: Taking taylor expansion of (+ x y) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [backup-simplify]: Simplify y into y 0.260 * [taylor]: Taking taylor expansion of (- x y) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [backup-simplify]: Simplify y into y 0.260 * [backup-simplify]: Simplify (+ 0 y) into y 0.260 * [backup-simplify]: Simplify (- y) into (- y) 0.260 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.260 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.260 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.260 * [taylor]: Taking taylor expansion of -1 in y 0.260 * [backup-simplify]: Simplify -1 into -1 0.260 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ 1 0) into 1 0.261 * [backup-simplify]: Simplify (+ 1 0) into 1 0.261 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.262 * [taylor]: Taking taylor expansion of 1 in y 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [backup-simplify]: Simplify (* -1 1) into -1 0.263 * [backup-simplify]: Simplify -1 into -1 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.265 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y)))))) into 0 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 0.266 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) into (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) 0.266 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.266 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.266 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.266 * [taylor]: Taking taylor expansion of x in y 0.266 * [backup-simplify]: Simplify x into x 0.266 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [backup-simplify]: Simplify x into x 0.267 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.267 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.267 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.268 * [backup-simplify]: Simplify y into y 0.268 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.268 * [backup-simplify]: Simplify y into y 0.268 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.268 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.268 * [backup-simplify]: Simplify y into y 0.268 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.268 * [backup-simplify]: Simplify y into y 0.268 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [backup-simplify]: Simplify (+ 1 0) into 1 0.269 * [backup-simplify]: Simplify (+ 0 1) into 1 0.269 * [backup-simplify]: Simplify (* 1 1) into 1 0.269 * [taylor]: Taking taylor expansion of 1 in y 0.269 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.270 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.271 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 0.273 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (* 1 1) into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [backup-simplify]: Simplify (- 1) into -1 0.274 * [backup-simplify]: Simplify -1 into -1 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.279 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 0.281 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) 0.281 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.281 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.281 * [taylor]: Taking taylor expansion of -1 in y 0.281 * [backup-simplify]: Simplify -1 into -1 0.281 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.282 * [taylor]: Taking taylor expansion of x in y 0.282 * [backup-simplify]: Simplify x into x 0.282 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.282 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.282 * [taylor]: Taking taylor expansion of x in y 0.282 * [backup-simplify]: Simplify x into x 0.282 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.282 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.282 * [taylor]: Taking taylor expansion of -1 in x 0.282 * [backup-simplify]: Simplify -1 into -1 0.282 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [backup-simplify]: Simplify y into y 0.282 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.283 * [backup-simplify]: Simplify y into y 0.283 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.283 * [taylor]: Taking taylor expansion of -1 in x 0.283 * [backup-simplify]: Simplify -1 into -1 0.283 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.283 * [backup-simplify]: Simplify y into y 0.283 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.284 * [backup-simplify]: Simplify y into y 0.284 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [backup-simplify]: Simplify (+ 0 1) into 1 0.285 * [backup-simplify]: Simplify (- 1) into -1 0.285 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.285 * [backup-simplify]: Simplify (* 1 -1) into -1 0.285 * [backup-simplify]: Simplify (* -1 -1) into 1 0.285 * [taylor]: Taking taylor expansion of 1 in y 0.285 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.286 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 0.287 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 0.290 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))) into (- (/ 1 (pow y 2))) 0.290 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (* 1 1) into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [backup-simplify]: Simplify (- 1) into -1 0.290 * [backup-simplify]: Simplify -1 into -1 0.290 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.293 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1)))) into 0 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 -1))))) into 0 0.300 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))))) into 0 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (- 0) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 0.302 * * * [progress]: simplifying candidates 0.303 * [simplify]: Simplifying: (expm1 (* (+ x y) (- x y))) (log1p (* (+ x y) (- x y))) (* (+ x y) (- x y)) (+ (log (+ x y)) (log (- x y))) (log (* (+ x y) (- x y))) (exp (* (+ x y) (- x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* (+ x y) (- x y))) (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y))) (* (* (* (+ x y) (- x y)) (* (+ x y) (- x y))) (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (+ x y)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (+ (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (- x y))) (* (sqrt (+ x y)) (sqrt (- x y))) (* (+ x y) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (+ x y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (+ x y) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y))))) (* (+ x y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (+ x y) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1)))) (* (+ x y) (fma (- y) 1 (* y 1))) (* (+ x y) (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (+ x y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (+ x y) (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y))))) (* (+ x y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (+ x y) (fma (sqrt x) (sqrt x) (- (* y 1)))) (* (+ x y) (fma (- y) 1 (* y 1))) (* (+ x y) (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (+ x y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (+ x y) (fma 1 x (- (* (sqrt y) (sqrt y))))) (* (+ x y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (+ x y) (fma 1 x (- (* y 1)))) (* (+ x y) (fma (- y) 1 (* y 1))) (* (+ x y) x) (* (+ x y) (- y)) (* (+ x y) x) (* (+ x y) (- y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (+ x y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (+ x y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y)))) (+ x y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (+ x y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1))) (+ x y)) (* (fma (- y) 1 (* y 1)) (+ x y)) (* (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (+ x y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (+ x y)) (* (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y)))) (+ x y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (+ x y)) (* (fma (sqrt x) (sqrt x) (- (* y 1))) (+ x y)) (* (fma (- y) 1 (* y 1)) (+ x y)) (* (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (+ x y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (+ x y)) (* (fma 1 x (- (* (sqrt y) (sqrt y)))) (+ x y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (+ x y)) (* (fma 1 x (- (* y 1))) (+ x y)) (* (fma (- y) 1 (* y 1)) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (* (+ x y) (sqrt (- x y))) (* (+ x y) 1) (* (+ x y) (+ (sqrt x) (sqrt y))) (* (+ x y) 1) (* (cbrt (+ x y)) (- x y)) (* (sqrt (+ x y)) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (- x y)) (* (- (* x x) (* y y)) (- x y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.303 * [simplify]: Sending expressions to egg_math: (expm1 (* (+ h1 h0) (- h1 h0))) (log1p (* (+ h1 h0) (- h1 h0))) (* (+ h1 h0) (- h1 h0)) (+ (log (+ h1 h0)) (log (- h1 h0))) (log (* (+ h1 h0) (- h1 h0))) (exp (* (+ h1 h0) (- h1 h0))) (* (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0)) (* (* (- h1 h0) (- h1 h0)) (- h1 h0))) (* (cbrt (* (+ h1 h0) (- h1 h0))) (cbrt (* (+ h1 h0) (- h1 h0)))) (cbrt (* (+ h1 h0) (- h1 h0))) (* (* (* (+ h1 h0) (- h1 h0)) (* (+ h1 h0) (- h1 h0))) (* (+ h1 h0) (- h1 h0))) (sqrt (* (+ h1 h0) (- h1 h0))) (sqrt (* (+ h1 h0) (- h1 h0))) (* (+ (pow h1 3) (pow h0 3)) (- (pow h1 3) (pow h0 3))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (+ (* h1 h1) (+ (* h0 h0) (* h1 h0)))) (* (+ (pow h1 3) (pow h0 3)) (- (* h1 h1) (* h0 h0))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (+ h1 h0)) (* (- (* h1 h1) (* h0 h0)) (- (pow h1 3) (pow h0 3))) (* (- h1 h0) (+ (* h1 h1) (+ (* h0 h0) (* h1 h0)))) (* (- (* h1 h1) (* h0 h0)) (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (+ h1 h0)) (* (sqrt (+ h1 h0)) (sqrt (- h1 h0))) (* (sqrt (+ h1 h0)) (sqrt (- h1 h0))) (* (+ h1 h0) (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0)))))) (* (+ h1 h0) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (* (+ h1 h0) (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (sqrt h0) (sqrt h0))))) (* (+ h1 h0) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0)))) (* (+ h1 h0) (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* h0 1)))) (* (+ h1 h0) (fma (- h0) 1 (* h0 1))) (* (+ h1 h0) (fma (sqrt h1) (sqrt h1) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0)))))) (* (+ h1 h0) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (* (+ h1 h0) (fma (sqrt h1) (sqrt h1) (- (* (sqrt h0) (sqrt h0))))) (* (+ h1 h0) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0)))) (* (+ h1 h0) (fma (sqrt h1) (sqrt h1) (- (* h0 1)))) (* (+ h1 h0) (fma (- h0) 1 (* h0 1))) (* (+ h1 h0) (fma 1 h1 (- (* (cbrt h0) (* (cbrt h0) (cbrt h0)))))) (* (+ h1 h0) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (* (+ h1 h0) (fma 1 h1 (- (* (sqrt h0) (sqrt h0))))) (* (+ h1 h0) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0)))) (* (+ h1 h0) (fma 1 h1 (- (* h0 1)))) (* (+ h1 h0) (fma (- h0) 1 (* h0 1))) (* (+ h1 h0) h1) (* (+ h1 h0) (- h0)) (* (+ h1 h0) h1) (* (+ h1 h0) (- h0)) (* (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (+ h1 h0)) (* (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (+ h1 h0)) (* (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (sqrt h0) (sqrt h0)))) (+ h1 h0)) (* (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (+ h1 h0)) (* (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* h0 1))) (+ h1 h0)) (* (fma (- h0) 1 (* h0 1)) (+ h1 h0)) (* (fma (sqrt h1) (sqrt h1) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (+ h1 h0)) (* (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (+ h1 h0)) (* (fma (sqrt h1) (sqrt h1) (- (* (sqrt h0) (sqrt h0)))) (+ h1 h0)) (* (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (+ h1 h0)) (* (fma (sqrt h1) (sqrt h1) (- (* h0 1))) (+ h1 h0)) (* (fma (- h0) 1 (* h0 1)) (+ h1 h0)) (* (fma 1 h1 (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (+ h1 h0)) (* (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (+ h1 h0)) (* (fma 1 h1 (- (* (sqrt h0) (sqrt h0)))) (+ h1 h0)) (* (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (+ h1 h0)) (* (fma 1 h1 (- (* h0 1))) (+ h1 h0)) (* (fma (- h0) 1 (* h0 1)) (+ h1 h0)) (* h1 (+ h1 h0)) (* (- h0) (+ h1 h0)) (* h1 (+ h1 h0)) (* (- h0) (+ h1 h0)) (* (+ h1 h0) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (* (+ h1 h0) (sqrt (- h1 h0))) (* (+ h1 h0) 1) (* (+ h1 h0) (+ (sqrt h1) (sqrt h0))) (* (+ h1 h0) 1) (* (cbrt (+ h1 h0)) (- h1 h0)) (* (sqrt (+ h1 h0)) (- h1 h0)) (* (+ h1 h0) (- h1 h0)) (* (+ h1 h0) (- h1 h0)) (* (+ h1 h0) (- (pow h1 3) (pow h0 3))) (* (+ h1 h0) (- (* h1 h1) (* h0 h0))) (* (+ (pow h1 3) (pow h0 3)) (- h1 h0)) (* (- (* h1 h1) (* h0 h0)) (- h1 h0)) (- (pow h1 2) (pow h0 2)) (- (pow h1 2) (pow h0 2)) (- (pow h1 2) (pow h0 2)) 0.307 * * [simplify]: iteration 0 : 349 enodes (cost 495 ) 0.314 * * [simplify]: iteration 1 : 1721 enodes (cost 354 ) 0.342 * * [simplify]: iteration 2 : 5002 enodes (cost 354 ) 0.344 * * * [progress]: adding candidates to table 0.407 * * [progress]: iteration 3 / 4 0.407 * * * [progress]: picking best candidate 0.408 * * * * [pick]: Picked # 0.408 * * * [progress]: localizing error 0.413 * * * [progress]: generating rewritten candidates 0.413 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.413 * * * [progress]: generating series expansions 0.413 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.413 * [backup-simplify]: Simplify (fma x x (- (* y y))) into (fma x x (- (pow y 2))) 0.414 * [approximate]: Taking taylor expansion of (fma x x (- (pow y 2))) in (x y) around 0 0.414 * [taylor]: Taking taylor expansion of (fma x x (- (pow y 2))) in y 0.414 * [taylor]: Rewrote expression to (+ (* x x) (- (pow y 2))) 0.414 * [taylor]: Taking taylor expansion of (* x x) in y 0.414 * [taylor]: Taking taylor expansion of x in y 0.414 * [backup-simplify]: Simplify x into x 0.414 * [taylor]: Taking taylor expansion of x in y 0.414 * [backup-simplify]: Simplify x into x 0.414 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [taylor]: Taking taylor expansion of (fma x x (- (pow y 2))) in x 0.414 * [taylor]: Rewrote expression to (+ (* x x) (- (pow y 2))) 0.414 * [taylor]: Taking taylor expansion of (* x x) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [taylor]: Taking taylor expansion of (- (pow y 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.414 * [backup-simplify]: Simplify y into y 0.414 * [taylor]: Taking taylor expansion of (fma x x (- (pow y 2))) in x 0.414 * [taylor]: Rewrote expression to (+ (* x x) (- (pow y 2))) 0.414 * [taylor]: Taking taylor expansion of (* x x) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [taylor]: Taking taylor expansion of (- (pow y 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.414 * [backup-simplify]: Simplify y into y 0.415 * [backup-simplify]: Simplify (* 0 0) into 0 0.415 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.415 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.415 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.415 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.415 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.416 * [backup-simplify]: Simplify (- 0) into 0 0.416 * [backup-simplify]: Simplify (+ 0 0) into 0 0.416 * [taylor]: Taking taylor expansion of 0 in y 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.416 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.417 * [backup-simplify]: Simplify (- 0) into 0 0.417 * [backup-simplify]: Simplify (+ 1 0) into 1 0.417 * [taylor]: Taking taylor expansion of 1 in y 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (* 1 1) into 1 0.417 * [backup-simplify]: Simplify (- 1) into -1 0.417 * [backup-simplify]: Simplify -1 into -1 0.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.418 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.419 * [backup-simplify]: Simplify (- 0) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.420 * [backup-simplify]: Simplify (- 0) into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.421 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.421 * [backup-simplify]: Simplify (- 0) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 0.422 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 x) (- (* (/ 1 y) (/ 1 y)))) into (fma (/ 1 x) (/ 1 x) (- (/ 1 (pow y 2)))) 0.422 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (/ 1 (pow y 2)))) in (x y) around 0 0.422 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (/ 1 (pow y 2)))) in y 0.422 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (- (/ 1 (pow y 2)))) 0.422 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.422 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.422 * [taylor]: Taking taylor expansion of x in y 0.422 * [backup-simplify]: Simplify x into x 0.422 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.422 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.422 * [taylor]: Taking taylor expansion of x in y 0.422 * [backup-simplify]: Simplify x into x 0.422 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.422 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.422 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (* 1 1) into 1 0.422 * [backup-simplify]: Simplify (/ 1 1) into 1 0.422 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (/ 1 (pow y 2)))) in x 0.423 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (- (/ 1 (pow y 2)))) 0.423 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (/ 1 1) into 1 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (/ 1 1) into 1 0.423 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [backup-simplify]: Simplify y into y 0.423 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.423 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.423 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (/ 1 (pow y 2)))) in x 0.424 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (- (/ 1 (pow y 2)))) 0.424 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (/ 1 1) into 1 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (/ 1 1) into 1 0.424 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.424 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.424 * [taylor]: Taking taylor expansion of y in x 0.424 * [backup-simplify]: Simplify y into y 0.424 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.424 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.425 * [backup-simplify]: Simplify (* 1 1) into 1 0.425 * [backup-simplify]: Simplify (+ 1 0) into 1 0.425 * [taylor]: Taking taylor expansion of 1 in y 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.428 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.428 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.428 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [backup-simplify]: Simplify (- 1) into -1 0.429 * [backup-simplify]: Simplify -1 into -1 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.431 * [backup-simplify]: Simplify (- 0) into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (- 0) into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.434 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.434 * [backup-simplify]: Simplify (- 0) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (- 0) into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 0.436 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- x)) (- (* (/ 1 (- y)) (/ 1 (- y))))) into (fma (/ -1 x) (/ -1 x) (- (/ 1 (pow y 2)))) 0.436 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (/ 1 (pow y 2)))) in (x y) around 0 0.436 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (/ 1 (pow y 2)))) in y 0.436 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (- (/ 1 (pow y 2)))) 0.436 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.436 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.436 * [taylor]: Taking taylor expansion of -1 in y 0.436 * [backup-simplify]: Simplify -1 into -1 0.436 * [taylor]: Taking taylor expansion of x in y 0.436 * [backup-simplify]: Simplify x into x 0.436 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.436 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.436 * [taylor]: Taking taylor expansion of -1 in y 0.436 * [backup-simplify]: Simplify -1 into -1 0.436 * [taylor]: Taking taylor expansion of x in y 0.436 * [backup-simplify]: Simplify x into x 0.436 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.436 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [backup-simplify]: Simplify (* 1 1) into 1 0.437 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (/ 1 (pow y 2)))) in x 0.437 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (- (/ 1 (pow y 2)))) 0.437 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.437 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.437 * [taylor]: Taking taylor expansion of -1 in x 0.437 * [backup-simplify]: Simplify -1 into -1 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (/ -1 1) into -1 0.438 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.438 * [taylor]: Taking taylor expansion of -1 in x 0.438 * [backup-simplify]: Simplify -1 into -1 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (/ -1 1) into -1 0.438 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [backup-simplify]: Simplify y into y 0.438 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.438 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.438 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (/ 1 (pow y 2)))) in x 0.438 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (- (/ 1 (pow y 2)))) 0.438 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.438 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.438 * [taylor]: Taking taylor expansion of -1 in x 0.438 * [backup-simplify]: Simplify -1 into -1 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (/ -1 1) into -1 0.439 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.439 * [taylor]: Taking taylor expansion of -1 in x 0.439 * [backup-simplify]: Simplify -1 into -1 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (/ -1 1) into -1 0.439 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.439 * [taylor]: Taking taylor expansion of y in x 0.439 * [backup-simplify]: Simplify y into y 0.439 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.439 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.439 * [backup-simplify]: Simplify (* -1 -1) into 1 0.440 * [backup-simplify]: Simplify (+ 1 0) into 1 0.440 * [taylor]: Taking taylor expansion of 1 in y 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.443 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.443 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.443 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.443 * [taylor]: Taking taylor expansion of y in y 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (* 1 1) into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [backup-simplify]: Simplify (- 1) into -1 0.444 * [backup-simplify]: Simplify -1 into -1 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.446 * [backup-simplify]: Simplify (- 0) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (- 0) into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.449 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.450 * [backup-simplify]: Simplify (- 0) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (- 0) into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 0.451 * * * [progress]: simplifying candidates 0.452 * [simplify]: Simplifying: (expm1 (fma x x (- (* y y)))) (log1p (fma x x (- (* y y)))) (* x x) (log (fma x x (- (* y y)))) (exp (fma x x (- (* y y)))) (* (cbrt (fma x x (- (* y y)))) (cbrt (fma x x (- (* y y))))) (cbrt (fma x x (- (* y y)))) (* (* (fma x x (- (* y y))) (fma x x (- (* y y)))) (fma x x (- (* y y)))) (sqrt (fma x x (- (* y y)))) (sqrt (fma x x (- (* y y)))) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.452 * [simplify]: Sending expressions to egg_math: (expm1 (fma h1 h1 (- (* h0 h0)))) (log1p (fma h1 h1 (- (* h0 h0)))) (* h1 h1) (log (fma h1 h1 (- (* h0 h0)))) (exp (fma h1 h1 (- (* h0 h0)))) (* (cbrt (fma h1 h1 (- (* h0 h0)))) (cbrt (fma h1 h1 (- (* h0 h0))))) (cbrt (fma h1 h1 (- (* h0 h0)))) (* (* (fma h1 h1 (- (* h0 h0))) (fma h1 h1 (- (* h0 h0)))) (fma h1 h1 (- (* h0 h0)))) (sqrt (fma h1 h1 (- (* h0 h0)))) (sqrt (fma h1 h1 (- (* h0 h0)))) (- (pow h1 2) (pow h0 2)) (- (pow h1 2) (pow h0 2)) (- (pow h1 2) (pow h0 2)) 0.454 * * [simplify]: iteration 0 : 31 enodes (cost 58 ) 0.455 * * [simplify]: iteration 1 : 84 enodes (cost 51 ) 0.457 * * [simplify]: iteration 2 : 277 enodes (cost 51 ) 0.463 * * [simplify]: iteration 3 : 1347 enodes (cost 51 ) 0.508 * * [simplify]: iteration 4 : 5002 enodes (cost 51 ) 0.509 * * * [progress]: adding candidates to table 0.535 * [progress]: [Phase 3 of 3] Extracting. 0.535 * * [regime]: Finding splitpoints for: (# #) 0.536 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 0.536 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.545 * * * * [regimes]: Trying to branch on y from (# #) 0.557 * * * * [regimes]: Trying to branch on x from (# #) 0.568 * * * [regime]: Found split indices: #