4.370 * [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: (- (* h0 h0) (* h1 h1)) 0.021 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 17 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 32 enodes (cost 3 ) 0.025 * * [simplify]: iteration 3 : 58 enodes (cost 3 ) 0.026 * * [simplify]: iteration 4 : 129 enodes (cost 3 ) 0.029 * * [simplify]: iteration 5 : 207 enodes (cost 3 ) 0.032 * * [simplify]: iteration 6 : 393 enodes (cost 3 ) 0.040 * * [simplify]: iteration 7 : 1794 enodes (cost 3 ) 0.091 * * [simplify]: iteration 8 : 5001 enodes (cost 3 ) 0.092 * * [progress]: iteration 1 / 4 0.092 * * * [progress]: picking best candidate 0.093 * * * * [pick]: Picked # 0.093 * * * [progress]: localizing error 0.097 * * * [progress]: generating rewritten candidates 0.097 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.105 * * * [progress]: generating series expansions 0.105 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.105 * [backup-simplify]: Simplify (- (* x x) (* y y)) into (- (pow x 2) (pow y 2)) 0.105 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.105 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.105 * [taylor]: Taking taylor expansion of x in y 0.105 * [backup-simplify]: Simplify x into x 0.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [backup-simplify]: Simplify y into y 0.106 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [backup-simplify]: Simplify y into y 0.106 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.106 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.106 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.106 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (* 1 1) into 1 0.107 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 1 0) into 1 0.108 * [taylor]: Taking taylor expansion of 1 in y 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (- 1) into -1 0.108 * [backup-simplify]: Simplify -1 into -1 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.109 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.112 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 0.112 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.112 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.112 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.112 * [taylor]: Taking taylor expansion of x in y 0.113 * [backup-simplify]: Simplify x into x 0.113 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.113 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.114 * [backup-simplify]: Simplify (/ 1 1) into 1 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [backup-simplify]: Simplify y into y 0.114 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.114 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.114 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (* 1 1) into 1 0.114 * [backup-simplify]: Simplify (/ 1 1) into 1 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [backup-simplify]: Simplify y into y 0.115 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.115 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 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 0) (* 0 1)) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.117 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.117 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.117 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [backup-simplify]: Simplify (- 1) into -1 0.118 * [backup-simplify]: Simplify -1 into -1 0.118 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (- 0) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.123 * [backup-simplify]: Simplify (- 0) 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 0.123 * [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 (- 0) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 0.125 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.125 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.125 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [backup-simplify]: Simplify x into x 0.125 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.125 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.125 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (* 1 1) into 1 0.125 * [backup-simplify]: Simplify (/ 1 1) into 1 0.125 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (* 1 1) into 1 0.126 * [backup-simplify]: Simplify (/ 1 1) into 1 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [backup-simplify]: Simplify y into y 0.126 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.126 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.126 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (* 1 1) into 1 0.127 * [backup-simplify]: Simplify (/ 1 1) into 1 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [backup-simplify]: Simplify y into y 0.127 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.127 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.127 * [backup-simplify]: Simplify (+ 1 0) into 1 0.127 * [taylor]: Taking taylor expansion of 1 in y 0.127 * [backup-simplify]: Simplify 1 into 1 0.128 * [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 0) into 0 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.129 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.129 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (* 1 1) into 1 0.130 * [backup-simplify]: Simplify (/ 1 1) into 1 0.130 * [backup-simplify]: Simplify (- 1) into -1 0.130 * [backup-simplify]: Simplify -1 into -1 0.130 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.132 * [backup-simplify]: Simplify (- 0) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (- 0) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.135 * [backup-simplify]: Simplify (- 0) 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 0.136 * [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 (- 0) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 0.137 * * * [progress]: simplifying candidates 0.137 * [simplify]: Simplifying: (/ (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)) 0.137 * [simplify]: Sending expressions to egg_math: (/ (exp (* h0 h0)) (exp (* h1 h1))) (log (- (* h0 h0) (* h1 h1))) (exp (- (* h0 h0) (* h1 h1))) (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1)))) (cbrt (- (* h0 h0) (* h1 h1))) (* (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1))) (- (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (+ (* h0 h0) (* h1 h1)) (+ h0 h1) (- h0 h1) (- (* h1 h1)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) 0.140 * * [simplify]: iteration 0 : 93 enodes (cost 83 ) 0.142 * * [simplify]: iteration 1 : 375 enodes (cost 72 ) 0.148 * * [simplify]: iteration 2 : 1243 enodes (cost 72 ) 0.173 * * [simplify]: iteration 3 : 5001 enodes (cost 72 ) 0.174 * * * [progress]: adding candidates to table 0.200 * * [progress]: iteration 2 / 4 0.200 * * * [progress]: picking best candidate 0.200 * * * * [pick]: Picked # 0.200 * * * [progress]: localizing error 0.205 * * * [progress]: generating rewritten candidates 0.205 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.241 * * * [progress]: generating series expansions 0.241 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.242 * [backup-simplify]: Simplify (* (+ x y) (- x y)) into (* (+ x y) (- x y)) 0.242 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 0.242 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.242 * [taylor]: Taking taylor expansion of (+ x y) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [backup-simplify]: Simplify x into x 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [taylor]: Taking taylor expansion of (- x y) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [backup-simplify]: Simplify x into x 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.242 * [taylor]: Taking taylor expansion of (+ x y) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [backup-simplify]: Simplify y into y 0.242 * [taylor]: Taking taylor expansion of (- x y) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [backup-simplify]: Simplify y into y 0.242 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.242 * [taylor]: Taking taylor expansion of (+ x y) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [backup-simplify]: Simplify y into y 0.242 * [taylor]: Taking taylor expansion of (- x y) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [backup-simplify]: Simplify y into y 0.242 * [backup-simplify]: Simplify (+ 0 y) into y 0.242 * [backup-simplify]: Simplify (- y) into (- y) 0.242 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.242 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.242 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.242 * [taylor]: Taking taylor expansion of -1 in y 0.242 * [backup-simplify]: Simplify -1 into -1 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (- 0) into 0 0.244 * [backup-simplify]: Simplify (+ 1 0) into 1 0.244 * [backup-simplify]: Simplify (+ 1 0) into 1 0.244 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 0.244 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.245 * [taylor]: Taking taylor expansion of 1 in y 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify (* 1 1) into 1 0.246 * [backup-simplify]: Simplify (* -1 1) into -1 0.246 * [backup-simplify]: Simplify -1 into -1 0.246 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.248 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.248 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y)))))) into 0 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 0.250 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) into (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) 0.250 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.250 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.250 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.250 * [taylor]: Taking taylor expansion of x in y 0.250 * [backup-simplify]: Simplify x into x 0.250 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.250 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [backup-simplify]: Simplify x into x 0.251 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.251 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.251 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [backup-simplify]: Simplify y into y 0.252 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [backup-simplify]: Simplify y into y 0.252 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.252 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [backup-simplify]: Simplify y into y 0.252 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [backup-simplify]: Simplify y into y 0.252 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (/ 1 1) into 1 0.253 * [backup-simplify]: Simplify (+ 1 0) into 1 0.253 * [backup-simplify]: Simplify (+ 0 1) into 1 0.254 * [backup-simplify]: Simplify (* 1 1) into 1 0.254 * [taylor]: Taking taylor expansion of 1 in y 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.255 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.255 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 0.257 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (* 1 1) into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.258 * [backup-simplify]: Simplify (- 1) into -1 0.258 * [backup-simplify]: Simplify -1 into -1 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.260 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) 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 (+ (* 1 0) (* 0 1)) into 0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.264 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 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 0 into 0 0.266 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 0.266 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) 0.266 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.266 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.266 * [taylor]: Taking taylor expansion of -1 in y 0.266 * [backup-simplify]: Simplify -1 into -1 0.266 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.266 * [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 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 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.267 * [taylor]: Taking taylor expansion of -1 in x 0.267 * [backup-simplify]: Simplify -1 into -1 0.267 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [backup-simplify]: Simplify y into y 0.267 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 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 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 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 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.268 * [taylor]: Taking taylor expansion of -1 in x 0.268 * [backup-simplify]: Simplify -1 into -1 0.268 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 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 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [backup-simplify]: Simplify y into y 0.269 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [backup-simplify]: Simplify (+ 0 1) into 1 0.269 * [backup-simplify]: Simplify (- 1) into -1 0.270 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.270 * [backup-simplify]: Simplify (* 1 -1) into -1 0.270 * [backup-simplify]: Simplify (* -1 -1) into 1 0.270 * [taylor]: Taking taylor expansion of 1 in y 0.270 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.272 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 0.272 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 0.275 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))) into (- (/ 1 (pow y 2))) 0.275 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (* 1 1) into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [backup-simplify]: Simplify (- 1) into -1 0.276 * [backup-simplify]: Simplify -1 into -1 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.279 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1)))) into 0 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 -1))))) into 0 0.284 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))))) into 0 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 0.285 * * * [progress]: simplifying candidates 0.286 * [simplify]: Simplifying: (* (+ 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) x) (* (+ x y) (- y)) (* (+ x y) x) (* (+ x y) (- 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)) 0.286 * [simplify]: Sending expressions to egg_math: (* (+ h0 h1) (- h0 h1)) (+ (log (+ h0 h1)) (log (- h0 h1))) (log (* (+ h0 h1) (- h0 h1))) (exp (* (+ h0 h1) (- h0 h1))) (* (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (cbrt (* (+ h0 h1) (- h0 h1))) (cbrt (* (+ h0 h1) (- h0 h1)))) (cbrt (* (+ h0 h1) (- h0 h1))) (* (* (* (+ h0 h1) (- h0 h1)) (* (+ h0 h1) (- h0 h1))) (* (+ h0 h1) (- h0 h1))) (sqrt (* (+ h0 h1) (- h0 h1))) (sqrt (* (+ h0 h1) (- h0 h1))) (* (+ (pow h0 3) (pow h1 3)) (- (pow h0 3) (pow h1 3))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (* (+ (pow h0 3) (pow h1 3)) (- (* h0 h0) (* h1 h1))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (+ h0 h1)) (* (- (* h0 h0) (* h1 h1)) (- (pow h0 3) (pow h1 3))) (* (- h0 h1) (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (* (- h0 h1) (+ h0 h1)) (* (sqrt (+ h0 h1)) (sqrt (- h0 h1))) (* (sqrt (+ h0 h1)) (sqrt (- h0 h1))) (* (+ h0 h1) h0) (* (+ h0 h1) (- h1)) (* (+ h0 h1) h0) (* (+ h0 h1) (- h1)) (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1)) (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1)) (* (+ h0 h1) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (* (+ h0 h1) (sqrt (- h0 h1))) (* (+ h0 h1) 1) (* (+ h0 h1) (+ (sqrt h0) (sqrt h1))) (* (+ h0 h1) 1) (* (cbrt (+ h0 h1)) (- h0 h1)) (* (sqrt (+ h0 h1)) (- h0 h1)) (* (+ h0 h1) (- h0 h1)) (* (+ h0 h1) (- h0 h1)) (* (+ h0 h1) (- (pow h0 3) (pow h1 3))) (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (pow h0 3) (pow h1 3)) (- h0 h1)) (* (- (* h0 h0) (* h1 h1)) (- h0 h1)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) 0.289 * * [simplify]: iteration 0 : 196 enodes (cost 201 ) 0.294 * * [simplify]: iteration 1 : 986 enodes (cost 187 ) 0.315 * * [simplify]: iteration 2 : 5001 enodes (cost 187 ) 0.317 * * * [progress]: adding candidates to table 0.374 * [progress]: [Phase 3 of 3] Extracting. 0.374 * * [regime]: Finding splitpoints for: (# #) 0.374 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (- (* x x) (* y y)) y x) 0.374 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.386 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.395 * * * * [regimes]: Trying to branch on (- (* x x) (* y y)) from (# #) 0.405 * * * * [regimes]: Trying to branch on y from (# #) 0.415 * * * * [regimes]: Trying to branch on x from (# #) 0.427 * * * [regime]: Found split indices: #