13.024 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying: (* x (exp (* y y))) 0.022 * [simplify]: Sending expressions to egg_math: (* h0 (exp (* h1 h1))) 0.025 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.026 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.028 * * [simplify]: iteration 2 : 21 enodes (cost 3 ) 0.029 * * [simplify]: iteration 3 : 48 enodes (cost 3 ) 0.031 * * [simplify]: iteration 4 : 133 enodes (cost 3 ) 0.034 * * [simplify]: iteration 5 : 437 enodes (cost 3 ) 0.045 * * [simplify]: iteration 6 : 1926 enodes (cost 3 ) 0.087 * * [simplify]: iteration 7 : 5002 enodes (cost 3 ) 0.088 * * [progress]: iteration 1 / 4 0.088 * * * [progress]: picking best candidate 0.089 * * * * [pick]: Picked # 0.089 * * * [progress]: localizing error 0.094 * * * [progress]: generating rewritten candidates 0.094 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.106 * * * [progress]: generating series expansions 0.106 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.106 * [backup-simplify]: Simplify (* x (exp (* y y))) into (* x (exp (pow y 2))) 0.106 * [approximate]: Taking taylor expansion of (* x (exp (pow y 2))) in (x y) around 0 0.106 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in y 0.106 * [taylor]: Taking taylor expansion of x in y 0.106 * [backup-simplify]: Simplify x into x 0.106 * [taylor]: Taking taylor expansion of (exp (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 0.107 * [backup-simplify]: Simplify (* 1 1) into 1 0.107 * [backup-simplify]: Simplify (exp 0) into 1 0.107 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [backup-simplify]: Simplify y into y 0.107 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.107 * [backup-simplify]: Simplify (exp (pow y 2)) into (exp (pow y 2)) 0.107 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [backup-simplify]: Simplify y into y 0.107 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.107 * [backup-simplify]: Simplify (exp (pow y 2)) into (exp (pow y 2)) 0.107 * [backup-simplify]: Simplify (* 0 (exp (pow y 2))) 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 (+ (* y 0) (* 0 y)) into 0 0.108 * [backup-simplify]: Simplify (* (exp (pow y 2)) (+ (* (/ (pow 0 1) 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (exp (pow y 2)))) into (exp (pow y 2)) 0.111 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (* 1 1) into 1 0.111 * [backup-simplify]: Simplify (exp 0) into 1 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.113 * [backup-simplify]: Simplify (* (exp (pow y 2)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (exp (pow y 2))))) into 0 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.115 * [backup-simplify]: Simplify (* (exp (pow y 2)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.116 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (exp (pow y 2)))))) into 0 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (* 1 (* 1 x)) into x 0.116 * [backup-simplify]: Simplify (* (/ 1 x) (exp (* (/ 1 y) (/ 1 y)))) into (/ (exp (/ 1 (pow y 2))) x) 0.116 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in (x y) around 0 0.116 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.116 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (* 1 1) into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.117 * [taylor]: Taking taylor expansion of x in y 0.117 * [backup-simplify]: Simplify x into x 0.117 * [backup-simplify]: Simplify (/ (exp (/ 1 (pow y 2))) x) into (/ (exp (/ 1 (pow y 2))) x) 0.117 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.117 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [backup-simplify]: Simplify y into y 0.117 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.117 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.117 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.117 * [taylor]: Taking taylor expansion of x in x 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (/ (exp (/ 1 (pow y 2))) 1) into (exp (/ 1 (pow y 2))) 0.118 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.118 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [backup-simplify]: Simplify y into y 0.118 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.118 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.118 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (/ (exp (/ 1 (pow y 2))) 1) into (exp (/ 1 (pow y 2))) 0.118 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (* 1 1) into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.119 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 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 (* (exp (/ 1 (pow y 2))) (+ (* (/ (pow 0 1) 1)))) into 0 0.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 (pow y 2))) (/ 0 1)))) 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 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.122 * [backup-simplify]: Simplify (* (exp (/ 1 (pow y 2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 (pow y 2))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.124 * [backup-simplify]: Simplify (* (exp (/ 1 (pow y 2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 (pow y 2))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (* (exp (/ 1 (pow (/ 1 y) 2))) (* 1 (/ 1 (/ 1 x)))) into (* x (exp (pow y 2))) 0.126 * [backup-simplify]: Simplify (* (/ 1 (- x)) (exp (* (/ 1 (- y)) (/ 1 (- y))))) into (* -1 (/ (exp (/ 1 (pow y 2))) x)) 0.126 * [approximate]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in (x y) around 0 0.126 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in y 0.126 * [taylor]: Taking taylor expansion of -1 in y 0.126 * [backup-simplify]: Simplify -1 into -1 0.126 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.126 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (* 1 1) into 1 0.126 * [backup-simplify]: Simplify (/ 1 1) into 1 0.126 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [backup-simplify]: Simplify x into x 0.127 * [backup-simplify]: Simplify (/ (exp (/ 1 (pow y 2))) x) into (/ (exp (/ 1 (pow y 2))) x) 0.127 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in x 0.127 * [taylor]: Taking taylor expansion of -1 in x 0.127 * [backup-simplify]: Simplify -1 into -1 0.127 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.127 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 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 (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (/ (exp (/ 1 (pow y 2))) 1) into (exp (/ 1 (pow y 2))) 0.127 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in x 0.127 * [taylor]: Taking taylor expansion of -1 in x 0.127 * [backup-simplify]: Simplify -1 into -1 0.127 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.127 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 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 (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (/ (exp (/ 1 (pow y 2))) 1) into (exp (/ 1 (pow y 2))) 0.128 * [backup-simplify]: Simplify (* -1 (exp (/ 1 (pow y 2)))) into (* -1 (exp (/ 1 (pow y 2)))) 0.128 * [taylor]: Taking taylor expansion of (* -1 (exp (/ 1 (pow y 2)))) in y 0.128 * [taylor]: Taking taylor expansion of -1 in y 0.128 * [backup-simplify]: Simplify -1 into -1 0.128 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (* 1 1) into 1 0.128 * [backup-simplify]: Simplify (/ 1 1) into 1 0.128 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.129 * [backup-simplify]: Simplify (* -1 (exp (/ 1 (pow y 2)))) into (* -1 (exp (/ 1 (pow y 2)))) 0.129 * [backup-simplify]: Simplify (* -1 (exp (/ 1 (pow y 2)))) into (* -1 (exp (/ 1 (pow y 2)))) 0.129 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.129 * [backup-simplify]: Simplify (* (exp (/ 1 (pow y 2))) (+ (* (/ (pow 0 1) 1)))) into 0 0.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 (pow y 2))) (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (exp (/ 1 (pow y 2))))) 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 0 into 0 0.131 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (exp (/ 1 (pow y 2))))) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.132 * [backup-simplify]: Simplify (* (exp (/ 1 (pow y 2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 (pow y 2))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (exp (/ 1 (pow y 2)))))) into 0 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (exp (/ 1 (pow y 2)))))) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 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))) (* 0 (/ 0 (pow y 2))))) into 0 0.136 * [backup-simplify]: Simplify (* (exp (/ 1 (pow y 2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 (pow y 2))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 (pow y 2))))))) into 0 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (* (* -1 (exp (/ 1 (pow (/ 1 (- y)) 2)))) (* 1 (/ 1 (/ 1 (- x))))) into (* x (exp (pow y 2))) 0.138 * * * [progress]: simplifying candidates 0.139 * [simplify]: Simplifying: (* x (exp (* y y))) (+ (log x) (* y y)) (log (* x (exp (* y y)))) (exp (* x (exp (* y y)))) (* (* (* x x) x) (* (* (exp (* y y)) (exp (* y y))) (exp (* y y)))) (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y))))) (cbrt (* x (exp (* y y)))) (* (* (* x (exp (* y y))) (* x (exp (* y y)))) (* x (exp (* y y)))) (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y)))) (* (sqrt x) (sqrt (exp (* y y)))) (* (sqrt x) (sqrt (exp (* y y)))) (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (* x (sqrt (exp (* y y)))) (* x 1) (* (cbrt x) (exp (* y y))) (* (sqrt x) (exp (* y y))) (* x (exp (* y y))) x (* x (exp (pow y 2))) (* x (exp (pow y 2))) 0.139 * [simplify]: Sending expressions to egg_math: (* h0 (exp (* h1 h1))) (+ (log h0) (* h1 h1)) (log (* h0 (exp (* h1 h1)))) (exp (* h0 (exp (* h1 h1)))) (* (* (* h0 h0) h0) (* (* (exp (* h1 h1)) (exp (* h1 h1))) (exp (* h1 h1)))) (* (cbrt (* h0 (exp (* h1 h1)))) (cbrt (* h0 (exp (* h1 h1))))) (cbrt (* h0 (exp (* h1 h1)))) (* (* (* h0 (exp (* h1 h1))) (* h0 (exp (* h1 h1)))) (* h0 (exp (* h1 h1)))) (sqrt (* h0 (exp (* h1 h1)))) (sqrt (* h0 (exp (* h1 h1)))) (* (sqrt h0) (sqrt (exp (* h1 h1)))) (* (sqrt h0) (sqrt (exp (* h1 h1)))) (* h0 (* (cbrt (exp (* h1 h1))) (cbrt (exp (* h1 h1))))) (* h0 (sqrt (exp (* h1 h1)))) (* h0 1) (* (cbrt h0) (exp (* h1 h1))) (* (sqrt h0) (exp (* h1 h1))) (* h0 (exp (* h1 h1))) h0 (* h0 (exp (pow h1 2))) (* h0 (exp (pow h1 2))) 0.141 * * [simplify]: iteration 0 : 74 enodes (cost 94 ) 0.143 * * [simplify]: iteration 1 : 273 enodes (cost 81 ) 0.149 * * [simplify]: iteration 2 : 1015 enodes (cost 81 ) 0.169 * * [simplify]: iteration 3 : 4909 enodes (cost 81 ) 0.284 * * [simplify]: iteration 4 : 5001 enodes (cost 81 ) 0.285 * * * [progress]: adding candidates to table 0.322 * * [progress]: iteration 2 / 4 0.322 * * * [progress]: picking best candidate 0.324 * * * * [pick]: Picked # 0.324 * * * [progress]: localizing error 0.330 * * * [progress]: generating rewritten candidates 0.330 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.344 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.383 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.386 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.390 * * * [progress]: generating series expansions 0.390 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.390 * [backup-simplify]: Simplify (* x (sqrt (exp (* y y)))) into (* x (sqrt (exp (pow y 2)))) 0.390 * [approximate]: Taking taylor expansion of (* x (sqrt (exp (pow y 2)))) in (x y) around 0 0.390 * [taylor]: Taking taylor expansion of (* x (sqrt (exp (pow y 2)))) in y 0.390 * [taylor]: Taking taylor expansion of x in y 0.390 * [backup-simplify]: Simplify x into x 0.390 * [taylor]: Taking taylor expansion of (sqrt (exp (pow y 2))) in y 0.390 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.390 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (* 1 1) into 1 0.391 * [backup-simplify]: Simplify (exp 0) into 1 0.391 * [backup-simplify]: Simplify (sqrt 1) into 1 0.392 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 0.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.392 * [taylor]: Taking taylor expansion of (* x (sqrt (exp (pow y 2)))) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [taylor]: Taking taylor expansion of (sqrt (exp (pow y 2))) in x 0.392 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [backup-simplify]: Simplify y into y 0.392 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.393 * [backup-simplify]: Simplify (exp (pow y 2)) into (exp (pow y 2)) 0.393 * [backup-simplify]: Simplify (sqrt (exp (pow y 2))) into (sqrt (exp (pow y 2))) 0.393 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.393 * [backup-simplify]: Simplify (* (exp (pow y 2)) (+ (* (/ (pow 0 1) 1)))) into 0 0.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (pow y 2))))) into 0 0.393 * [taylor]: Taking taylor expansion of (* x (sqrt (exp (pow y 2)))) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [taylor]: Taking taylor expansion of (sqrt (exp (pow y 2))) in x 0.393 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in x 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.393 * [taylor]: Taking taylor expansion of y in x 0.394 * [backup-simplify]: Simplify y into y 0.394 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.394 * [backup-simplify]: Simplify (exp (pow y 2)) into (exp (pow y 2)) 0.394 * [backup-simplify]: Simplify (sqrt (exp (pow y 2))) into (sqrt (exp (pow y 2))) 0.394 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.394 * [backup-simplify]: Simplify (* (exp (pow y 2)) (+ (* (/ (pow 0 1) 1)))) into 0 0.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (pow y 2))))) into 0 0.395 * [backup-simplify]: Simplify (* 0 (sqrt (exp (pow y 2)))) into 0 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (exp (pow y 2))))) into (sqrt (exp (pow y 2))) 0.395 * [taylor]: Taking taylor expansion of (sqrt (exp (pow y 2))) in y 0.395 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [backup-simplify]: Simplify (* 1 1) into 1 0.395 * [backup-simplify]: Simplify (exp 0) into 1 0.396 * [backup-simplify]: Simplify (sqrt 1) into 1 0.396 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 0.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.398 * [backup-simplify]: Simplify (* (exp (pow y 2)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.398 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (pow y 2))))) into 0 0.399 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (exp (pow y 2)))))) into 0 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.400 * [backup-simplify]: Simplify (* (exp (pow y 2)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (pow y 2))))) into 0 0.401 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (exp (pow y 2))))))) into 0 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (* 1 (* 1 x)) into x 0.402 * [backup-simplify]: Simplify (* (/ 1 x) (sqrt (exp (* (/ 1 y) (/ 1 y))))) into (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2))))) 0.402 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2))))) in (x y) around 0 0.402 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2))))) in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.402 * [taylor]: Taking taylor expansion of x in y 0.402 * [backup-simplify]: Simplify x into x 0.402 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.402 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.402 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify (* 1 1) into 1 0.402 * [backup-simplify]: Simplify (/ 1 1) into 1 0.403 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.403 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow y 2)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.403 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2))))) in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (/ 1 1) into 1 0.403 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in x 0.403 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [backup-simplify]: Simplify y into y 0.403 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.403 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.403 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.403 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow y 2)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.404 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.404 * [backup-simplify]: Simplify (* (exp (/ 1 (pow y 2))) (+ (* (/ (pow 0 1) 1)))) into 0 0.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.404 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2))))) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (/ 1 1) into 1 0.405 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in x 0.405 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [backup-simplify]: Simplify y into y 0.405 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.405 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.405 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.405 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow y 2)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.405 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.406 * [backup-simplify]: Simplify (* (exp (/ 1 (pow y 2))) (+ (* (/ (pow 0 1) 1)))) into 0 0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.406 * [backup-simplify]: Simplify (* 1 (sqrt (exp (/ 1 (pow y 2))))) into (sqrt (exp (/ 1 (pow y 2)))) 0.406 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.406 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (* 1 1) into 1 0.407 * [backup-simplify]: Simplify (/ 1 1) into 1 0.407 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.407 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow y 2)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.407 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow y 2)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.409 * [backup-simplify]: Simplify (* (exp (/ 1 (pow y 2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.410 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (exp (/ 1 (pow y 2))))))) into 0 0.411 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.411 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.413 * [backup-simplify]: Simplify (* (exp (/ 1 (pow y 2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.414 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ 1 (pow y 2)))))))) into 0 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (* (sqrt (exp (/ 1 (pow (/ 1 y) 2)))) (* 1 (/ 1 (/ 1 x)))) into (* x (sqrt (exp (pow y 2)))) 0.415 * [backup-simplify]: Simplify (* (/ 1 (- x)) (sqrt (exp (* (/ 1 (- y)) (/ 1 (- y)))))) into (* -1 (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2)))))) 0.415 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2)))))) in (x y) around 0 0.415 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2)))))) in y 0.415 * [taylor]: Taking taylor expansion of -1 in y 0.415 * [backup-simplify]: Simplify -1 into -1 0.415 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2))))) in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.415 * [taylor]: Taking taylor expansion of x in y 0.415 * [backup-simplify]: Simplify x into x 0.415 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.415 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.415 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 (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 0.416 * [backup-simplify]: Simplify (* 1 1) into 1 0.416 * [backup-simplify]: Simplify (/ 1 1) into 1 0.416 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.416 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow y 2)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.416 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2)))))) in x 0.416 * [taylor]: Taking taylor expansion of -1 in x 0.416 * [backup-simplify]: Simplify -1 into -1 0.416 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2))))) in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (/ 1 1) into 1 0.417 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in x 0.417 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [backup-simplify]: Simplify y into y 0.417 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.417 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.417 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.417 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow y 2)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.417 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.418 * [backup-simplify]: Simplify (* (exp (/ 1 (pow y 2))) (+ (* (/ (pow 0 1) 1)))) into 0 0.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.418 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2)))))) in x 0.418 * [taylor]: Taking taylor expansion of -1 in x 0.418 * [backup-simplify]: Simplify -1 into -1 0.418 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (exp (/ 1 (pow y 2))))) in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (/ 1 1) into 1 0.418 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in x 0.418 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.418 * [taylor]: Taking taylor expansion of y in x 0.418 * [backup-simplify]: Simplify y into y 0.418 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.419 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.419 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.419 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow y 2)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.419 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.419 * [backup-simplify]: Simplify (* (exp (/ 1 (pow y 2))) (+ (* (/ (pow 0 1) 1)))) into 0 0.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.420 * [backup-simplify]: Simplify (* 1 (sqrt (exp (/ 1 (pow y 2))))) into (sqrt (exp (/ 1 (pow y 2)))) 0.420 * [backup-simplify]: Simplify (* -1 (sqrt (exp (/ 1 (pow y 2))))) into (* -1 (sqrt (exp (/ 1 (pow y 2))))) 0.420 * [taylor]: Taking taylor expansion of (* -1 (sqrt (exp (/ 1 (pow y 2))))) in y 0.420 * [taylor]: Taking taylor expansion of -1 in y 0.420 * [backup-simplify]: Simplify -1 into -1 0.420 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.420 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (* 1 1) into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.421 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.421 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow y 2)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.421 * [backup-simplify]: Simplify (* -1 (sqrt (exp (/ 1 (pow y 2))))) into (* -1 (sqrt (exp (/ 1 (pow y 2))))) 0.421 * [backup-simplify]: Simplify (* -1 (sqrt (exp (/ 1 (pow y 2))))) into (* -1 (sqrt (exp (/ 1 (pow y 2))))) 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.422 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.424 * [backup-simplify]: Simplify (* (exp (/ 1 (pow y 2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.424 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (exp (/ 1 (pow y 2))))))) into 0 0.426 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (sqrt (exp (/ 1 (pow y 2))))))) into 0 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.427 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (sqrt (exp (/ 1 (pow y 2))))))) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.429 * [backup-simplify]: Simplify (* (exp (/ 1 (pow y 2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ 1 (pow y 2)))))))) into 0 0.431 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ 1 (pow y 2)))))))) 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 0 into 0 0.432 * [backup-simplify]: Simplify (* (* -1 (sqrt (exp (/ 1 (pow (/ 1 (- y)) 2))))) (* 1 (/ 1 (/ 1 (- x))))) into (* x (sqrt (exp (pow y 2)))) 0.432 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.432 * [backup-simplify]: Simplify (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y)))) into (* x (exp (pow y 2))) 0.432 * [approximate]: Taking taylor expansion of (* x (exp (pow y 2))) in (x y) around 0 0.432 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in y 0.432 * [taylor]: Taking taylor expansion of x in y 0.432 * [backup-simplify]: Simplify x into x 0.432 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (* 1 1) into 1 0.432 * [backup-simplify]: Simplify (exp 0) into 1 0.432 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in x 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [backup-simplify]: Simplify y into y 0.432 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.432 * [backup-simplify]: Simplify (exp (pow y 2)) into (exp (pow y 2)) 0.432 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in x 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.433 * [backup-simplify]: Simplify y into y 0.433 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.433 * [backup-simplify]: Simplify (exp (pow y 2)) into (exp (pow y 2)) 0.433 * [backup-simplify]: Simplify (* 0 (exp (pow y 2))) into 0 0.433 * [taylor]: Taking taylor expansion of 0 in y 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.433 * [backup-simplify]: Simplify (* (exp (pow y 2)) (+ (* (/ (pow 0 1) 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (exp (pow y 2)))) into (exp (pow y 2)) 0.434 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (* 1 1) into 1 0.434 * [backup-simplify]: Simplify (exp 0) into 1 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.435 * [backup-simplify]: Simplify (* (exp (pow y 2)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (exp (pow y 2))))) into 0 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.438 * [backup-simplify]: Simplify (* (exp (pow y 2)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (exp (pow y 2)))))) into 0 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (* 1 (* 1 x)) into x 0.439 * [backup-simplify]: Simplify (* (* (/ 1 x) (sqrt (exp (* (/ 1 y) (/ 1 y))))) (sqrt (exp (* (/ 1 y) (/ 1 y))))) into (/ (exp (/ 1 (pow y 2))) x) 0.439 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in (x y) around 0 0.439 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.439 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.439 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.439 * [taylor]: Taking taylor expansion of x in y 0.439 * [backup-simplify]: Simplify x into x 0.440 * [backup-simplify]: Simplify (/ (exp (/ 1 (pow y 2))) x) into (/ (exp (/ 1 (pow y 2))) x) 0.440 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.440 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [backup-simplify]: Simplify y into y 0.440 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.440 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.440 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (/ (exp (/ 1 (pow y 2))) 1) into (exp (/ 1 (pow y 2))) 0.440 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.440 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [backup-simplify]: Simplify y into y 0.440 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.440 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.440 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (/ (exp (/ 1 (pow y 2))) 1) into (exp (/ 1 (pow y 2))) 0.440 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (* 1 1) into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.441 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.441 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.442 * [backup-simplify]: Simplify (* (exp (/ 1 (pow y 2))) (+ (* (/ (pow 0 1) 1)))) into 0 0.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 (pow y 2))) (/ 0 1)))) into 0 0.443 * [taylor]: Taking taylor expansion of 0 in y 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.444 * [backup-simplify]: Simplify (* (exp (/ 1 (pow y 2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 (pow y 2))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.447 * [backup-simplify]: Simplify (* (exp (/ 1 (pow y 2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 (pow y 2))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify (* (exp (/ 1 (pow (/ 1 y) 2))) (* 1 (/ 1 (/ 1 x)))) into (* x (exp (pow y 2))) 0.448 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (sqrt (exp (* (/ 1 (- y)) (/ 1 (- y)))))) (sqrt (exp (* (/ 1 (- y)) (/ 1 (- y)))))) into (* -1 (/ (exp (/ 1 (pow y 2))) x)) 0.448 * [approximate]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in (x y) around 0 0.448 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in y 0.448 * [taylor]: Taking taylor expansion of -1 in y 0.448 * [backup-simplify]: Simplify -1 into -1 0.448 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.448 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.448 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (* 1 1) into 1 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.449 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.449 * [taylor]: Taking taylor expansion of x in y 0.449 * [backup-simplify]: Simplify x into x 0.449 * [backup-simplify]: Simplify (/ (exp (/ 1 (pow y 2))) x) into (/ (exp (/ 1 (pow y 2))) x) 0.449 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in x 0.449 * [taylor]: Taking taylor expansion of -1 in x 0.449 * [backup-simplify]: Simplify -1 into -1 0.449 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.449 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [backup-simplify]: Simplify y into y 0.449 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.449 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.449 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (/ (exp (/ 1 (pow y 2))) 1) into (exp (/ 1 (pow y 2))) 0.450 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in x 0.450 * [taylor]: Taking taylor expansion of -1 in x 0.450 * [backup-simplify]: Simplify -1 into -1 0.450 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in x 0.450 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.450 * [backup-simplify]: Simplify y into y 0.450 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.450 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.450 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (/ (exp (/ 1 (pow y 2))) 1) into (exp (/ 1 (pow y 2))) 0.450 * [backup-simplify]: Simplify (* -1 (exp (/ 1 (pow y 2)))) into (* -1 (exp (/ 1 (pow y 2)))) 0.450 * [taylor]: Taking taylor expansion of (* -1 (exp (/ 1 (pow y 2)))) in y 0.450 * [taylor]: Taking taylor expansion of -1 in y 0.450 * [backup-simplify]: Simplify -1 into -1 0.450 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (* 1 1) into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.451 * [backup-simplify]: Simplify (* -1 (exp (/ 1 (pow y 2)))) into (* -1 (exp (/ 1 (pow y 2)))) 0.451 * [backup-simplify]: Simplify (* -1 (exp (/ 1 (pow y 2)))) into (* -1 (exp (/ 1 (pow y 2)))) 0.451 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.452 * [backup-simplify]: Simplify (* (exp (/ 1 (pow y 2))) (+ (* (/ (pow 0 1) 1)))) into 0 0.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 (pow y 2))) (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (exp (/ 1 (pow y 2))))) into 0 0.453 * [taylor]: Taking taylor expansion of 0 in y 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (exp (/ 1 (pow y 2))))) into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.455 * [backup-simplify]: Simplify (* (exp (/ 1 (pow y 2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 (pow y 2))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (exp (/ 1 (pow y 2)))))) into 0 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (exp (/ 1 (pow y 2)))))) into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.461 * [backup-simplify]: Simplify (* (exp (/ 1 (pow y 2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 (pow y 2))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 (pow y 2))))))) into 0 0.463 * [taylor]: Taking taylor expansion of 0 in y 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (* (* -1 (exp (/ 1 (pow (/ 1 (- y)) 2)))) (* 1 (/ 1 (/ 1 (- x))))) into (* x (exp (pow y 2))) 0.463 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.463 * [backup-simplify]: Simplify (sqrt (exp (* y y))) into (sqrt (exp (pow y 2))) 0.463 * [approximate]: Taking taylor expansion of (sqrt (exp (pow y 2))) in (y) around 0 0.463 * [taylor]: Taking taylor expansion of (sqrt (exp (pow y 2))) in y 0.463 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (* 1 1) into 1 0.464 * [backup-simplify]: Simplify (exp 0) into 1 0.464 * [backup-simplify]: Simplify (sqrt 1) into 1 0.464 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 0.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.465 * [taylor]: Taking taylor expansion of (sqrt (exp (pow y 2))) in y 0.465 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.465 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.465 * [taylor]: Taking taylor expansion of y in y 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (* 1 1) into 1 0.465 * [backup-simplify]: Simplify (exp 0) into 1 0.465 * [backup-simplify]: Simplify (sqrt 1) into 1 0.466 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1)))) into 1 0.468 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.468 * [backup-simplify]: Simplify 1/2 into 1/2 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.469 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.470 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.472 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.473 * [backup-simplify]: Simplify (/ (- 1/2 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 1/8 0.473 * [backup-simplify]: Simplify 1/8 into 1/8 0.473 * [backup-simplify]: Simplify (+ (* 1/8 (pow y 4)) (+ (* 1/2 (pow y 2)) 1)) into (+ (* 1/2 (pow y 2)) (+ (* 1/8 (pow y 4)) 1)) 0.473 * [backup-simplify]: Simplify (sqrt (exp (* (/ 1 y) (/ 1 y)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.473 * [approximate]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in (y) around 0 0.473 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.473 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.474 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (* 1 1) into 1 0.474 * [backup-simplify]: Simplify (/ 1 1) into 1 0.474 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.474 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow y 2)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.474 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.474 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.474 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.475 * [backup-simplify]: Simplify (* 1 1) into 1 0.475 * [backup-simplify]: Simplify (/ 1 1) into 1 0.475 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.475 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow y 2)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.475 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow y 2)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.475 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow (/ 1 y) 2)))) into (sqrt (exp (pow y 2))) 0.479 * [backup-simplify]: Simplify (sqrt (exp (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (exp (/ 1 (pow y 2)))) 0.479 * [approximate]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in (y) around 0 0.479 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.479 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.479 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow y 2)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.479 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.480 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (* 1 1) into 1 0.480 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.480 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow y 2)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.480 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow y 2)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.483 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow (/ 1 (- y)) 2)))) into (sqrt (exp (pow y 2))) 0.484 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.484 * [backup-simplify]: Simplify (sqrt (exp (* y y))) into (sqrt (exp (pow y 2))) 0.484 * [approximate]: Taking taylor expansion of (sqrt (exp (pow y 2))) in (y) around 0 0.484 * [taylor]: Taking taylor expansion of (sqrt (exp (pow y 2))) in y 0.484 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (* 1 1) into 1 0.484 * [backup-simplify]: Simplify (exp 0) into 1 0.484 * [backup-simplify]: Simplify (sqrt 1) into 1 0.485 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 0.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.485 * [taylor]: Taking taylor expansion of (sqrt (exp (pow y 2))) in y 0.485 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.486 * [backup-simplify]: Simplify (* 1 1) into 1 0.486 * [backup-simplify]: Simplify (exp 0) into 1 0.486 * [backup-simplify]: Simplify (sqrt 1) into 1 0.486 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 0.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1)))) into 1 0.488 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.488 * [backup-simplify]: Simplify 1/2 into 1/2 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.490 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.493 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.493 * [backup-simplify]: Simplify (/ (- 1/2 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 1/8 0.493 * [backup-simplify]: Simplify 1/8 into 1/8 0.494 * [backup-simplify]: Simplify (+ (* 1/8 (pow y 4)) (+ (* 1/2 (pow y 2)) 1)) into (+ (* 1/2 (pow y 2)) (+ (* 1/8 (pow y 4)) 1)) 0.494 * [backup-simplify]: Simplify (sqrt (exp (* (/ 1 y) (/ 1 y)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.494 * [approximate]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in (y) around 0 0.494 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.494 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (* 1 1) into 1 0.494 * [backup-simplify]: Simplify (/ 1 1) into 1 0.494 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.495 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow y 2)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.495 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.495 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (* 1 1) into 1 0.495 * [backup-simplify]: Simplify (/ 1 1) into 1 0.496 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.496 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow y 2)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.496 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow y 2)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow (/ 1 y) 2)))) into (sqrt (exp (pow y 2))) 0.499 * [backup-simplify]: Simplify (sqrt (exp (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (exp (/ 1 (pow y 2)))) 0.499 * [approximate]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in (y) around 0 0.499 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.499 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (* 1 1) into 1 0.500 * [backup-simplify]: Simplify (/ 1 1) into 1 0.500 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.500 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow y 2)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.500 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 (pow y 2)))) in y 0.500 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.501 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow y 2)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.501 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow y 2)))) into (sqrt (exp (/ 1 (pow y 2)))) 0.501 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (pow y 2)))))) into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (pow (/ 1 (- y)) 2)))) into (sqrt (exp (pow y 2))) 0.504 * * * [progress]: simplifying candidates 0.505 * [simplify]: Simplifying: (* x (sqrt (exp (* y y)))) (+ (log x) (log (sqrt (exp (* y y))))) (log (* x (sqrt (exp (* y y))))) (exp (* x (sqrt (exp (* y y))))) (* (* (* x x) x) (* (* (sqrt (exp (* y y))) (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (* (cbrt (* x (sqrt (exp (* y y))))) (cbrt (* x (sqrt (exp (* y y)))))) (cbrt (* x (sqrt (exp (* y y))))) (* (* (* x (sqrt (exp (* y y)))) (* x (sqrt (exp (* y y))))) (* x (sqrt (exp (* y y))))) (sqrt (* x (sqrt (exp (* y y))))) (sqrt (* x (sqrt (exp (* y y))))) (* (sqrt x) (sqrt (sqrt (exp (* y y))))) (* (sqrt x) (sqrt (sqrt (exp (* y y))))) (* (sqrt x) (sqrt (sqrt (exp (* y y))))) (* (sqrt x) (sqrt (sqrt (exp (* y y))))) (* x (* (cbrt (sqrt (exp (* y y)))) (cbrt (sqrt (exp (* y y)))))) (* x (sqrt (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (* x (sqrt (sqrt (exp (* y y))))) (* x (sqrt 1)) (* x (sqrt (sqrt (exp (* y y))))) (* x 1) (* (cbrt x) (sqrt (exp (* y y)))) (* (sqrt x) (sqrt (exp (* y y)))) (* x (sqrt (exp (* y y)))) (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y)))) (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y)))) (+ (+ (log x) (log (sqrt (exp (* y y))))) (log (sqrt (exp (* y y))))) (+ (log (* x (sqrt (exp (* y y))))) (log (sqrt (exp (* y y))))) (log (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (exp (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (* (* (* (* x x) x) (* (* (sqrt (exp (* y y))) (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (* (* (sqrt (exp (* y y))) (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (* (* (* (* x (sqrt (exp (* y y)))) (* x (sqrt (exp (* y y))))) (* x (sqrt (exp (* y y))))) (* (* (sqrt (exp (* y y))) (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (* (cbrt (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (cbrt (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y)))))) (cbrt (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (* (* (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y)))) (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (sqrt (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (sqrt (* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))) (* (* x (sqrt (exp (* y y)))) (* (cbrt (sqrt (exp (* y y)))) (cbrt (sqrt (exp (* y y)))))) (* (* x (sqrt (exp (* y y)))) (sqrt (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (* (* x (sqrt (exp (* y y)))) (sqrt (sqrt (exp (* y y))))) (* (* x (sqrt (exp (* y y)))) (sqrt 1)) (* (* x (sqrt (exp (* y y)))) (sqrt (sqrt (exp (* y y))))) (* (* x (sqrt (exp (* y y)))) 1) (* (sqrt (exp (* y y))) (sqrt (exp (* y y)))) (log (sqrt (exp (* y y)))) (exp (sqrt (exp (* y y)))) (* (cbrt (sqrt (exp (* y y)))) (cbrt (sqrt (exp (* y y))))) (cbrt (sqrt (exp (* y y)))) (* (* (sqrt (exp (* y y))) (sqrt (exp (* y y)))) (sqrt (exp (* y y)))) (sqrt (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (sqrt (cbrt (exp (* y y)))) (sqrt (sqrt (exp (* y y)))) (sqrt (sqrt (exp (* y y)))) (sqrt 1) (sqrt (exp (* y y))) (/ y 2) (/ 1 2) (/ y 2) (sqrt (sqrt (exp (* y y)))) (sqrt (sqrt (exp (* y y)))) (log (sqrt (exp (* y y)))) (exp (sqrt (exp (* y y)))) (* (cbrt (sqrt (exp (* y y)))) (cbrt (sqrt (exp (* y y))))) (cbrt (sqrt (exp (* y y)))) (* (* (sqrt (exp (* y y))) (sqrt (exp (* y y)))) (sqrt (exp (* y y)))) (sqrt (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (sqrt (cbrt (exp (* y y)))) (sqrt (sqrt (exp (* y y)))) (sqrt (sqrt (exp (* y y)))) (sqrt 1) (sqrt (exp (* y y))) (/ y 2) (/ 1 2) (/ y 2) (sqrt (sqrt (exp (* y y)))) (sqrt (sqrt (exp (* y y)))) x (* x (sqrt (exp (pow y 2)))) (* x (sqrt (exp (pow y 2)))) x (* x (exp (pow y 2))) (* x (exp (pow y 2))) (+ (* 1/2 (pow y 2)) (+ (* 1/8 (pow y 4)) 1)) (sqrt (exp (pow y 2))) (sqrt (exp (pow y 2))) (+ (* 1/2 (pow y 2)) (+ (* 1/8 (pow y 4)) 1)) (sqrt (exp (pow y 2))) (sqrt (exp (pow y 2))) 0.505 * [simplify]: Sending expressions to egg_math: (* h0 (sqrt (exp (* h1 h1)))) (+ (log h0) (log (sqrt (exp (* h1 h1))))) (log (* h0 (sqrt (exp (* h1 h1))))) (exp (* h0 (sqrt (exp (* h1 h1))))) (* (* (* h0 h0) h0) (* (* (sqrt (exp (* h1 h1))) (sqrt (exp (* h1 h1)))) (sqrt (exp (* h1 h1))))) (* (cbrt (* h0 (sqrt (exp (* h1 h1))))) (cbrt (* h0 (sqrt (exp (* h1 h1)))))) (cbrt (* h0 (sqrt (exp (* h1 h1))))) (* (* (* h0 (sqrt (exp (* h1 h1)))) (* h0 (sqrt (exp (* h1 h1))))) (* h0 (sqrt (exp (* h1 h1))))) (sqrt (* h0 (sqrt (exp (* h1 h1))))) (sqrt (* h0 (sqrt (exp (* h1 h1))))) (* (sqrt h0) (sqrt (sqrt (exp (* h1 h1))))) (* (sqrt h0) (sqrt (sqrt (exp (* h1 h1))))) (* (sqrt h0) (sqrt (sqrt (exp (* h1 h1))))) (* (sqrt h0) (sqrt (sqrt (exp (* h1 h1))))) (* h0 (* (cbrt (sqrt (exp (* h1 h1)))) (cbrt (sqrt (exp (* h1 h1)))))) (* h0 (sqrt (* (cbrt (exp (* h1 h1))) (cbrt (exp (* h1 h1)))))) (* h0 (sqrt (sqrt (exp (* h1 h1))))) (* h0 (sqrt 1)) (* h0 (sqrt (sqrt (exp (* h1 h1))))) (* h0 1) (* (cbrt h0) (sqrt (exp (* h1 h1)))) (* (sqrt h0) (sqrt (exp (* h1 h1)))) (* h0 (sqrt (exp (* h1 h1)))) (* (* h0 (sqrt (exp (* h1 h1)))) (sqrt (exp (* h1 h1)))) (* (* h0 (sqrt (exp (* h1 h1)))) (sqrt (exp (* h1 h1)))) (+ (+ (log h0) (log (sqrt (exp (* h1 h1))))) (log (sqrt (exp (* h1 h1))))) (+ (log (* h0 (sqrt (exp (* h1 h1))))) (log (sqrt (exp (* h1 h1))))) (log (* (* h0 (sqrt (exp (* h1 h1)))) (sqrt (exp (* h1 h1))))) (exp (* (* h0 (sqrt (exp (* h1 h1)))) (sqrt (exp (* h1 h1))))) (* (* (* (* h0 h0) h0) (* (* (sqrt (exp (* h1 h1))) (sqrt (exp (* h1 h1)))) (sqrt (exp (* h1 h1))))) (* (* (sqrt (exp (* h1 h1))) (sqrt (exp (* h1 h1)))) (sqrt (exp (* h1 h1))))) (* (* (* (* h0 (sqrt (exp (* h1 h1)))) (* h0 (sqrt (exp (* h1 h1))))) (* h0 (sqrt (exp (* h1 h1))))) (* (* (sqrt (exp (* h1 h1))) (sqrt (exp (* h1 h1)))) (sqrt (exp (* h1 h1))))) (* (cbrt (* (* h0 (sqrt (exp (* h1 h1)))) (sqrt (exp (* h1 h1))))) (cbrt (* (* h0 (sqrt (exp (* h1 h1)))) (sqrt (exp (* h1 h1)))))) (cbrt (* (* h0 (sqrt (exp (* h1 h1)))) (sqrt (exp (* h1 h1))))) (* (* (* (* h0 (sqrt (exp (* h1 h1)))) (sqrt (exp (* h1 h1)))) (* (* h0 (sqrt (exp (* h1 h1)))) (sqrt (exp (* h1 h1))))) (* (* h0 (sqrt (exp (* h1 h1)))) (sqrt (exp (* h1 h1))))) (sqrt (* (* h0 (sqrt (exp (* h1 h1)))) (sqrt (exp (* h1 h1))))) (sqrt (* (* h0 (sqrt (exp (* h1 h1)))) (sqrt (exp (* h1 h1))))) (* (* h0 (sqrt (exp (* h1 h1)))) (* (cbrt (sqrt (exp (* h1 h1)))) (cbrt (sqrt (exp (* h1 h1)))))) (* (* h0 (sqrt (exp (* h1 h1)))) (sqrt (* (cbrt (exp (* h1 h1))) (cbrt (exp (* h1 h1)))))) (* (* h0 (sqrt (exp (* h1 h1)))) (sqrt (sqrt (exp (* h1 h1))))) (* (* h0 (sqrt (exp (* h1 h1)))) (sqrt 1)) (* (* h0 (sqrt (exp (* h1 h1)))) (sqrt (sqrt (exp (* h1 h1))))) (* (* h0 (sqrt (exp (* h1 h1)))) 1) (* (sqrt (exp (* h1 h1))) (sqrt (exp (* h1 h1)))) (log (sqrt (exp (* h1 h1)))) (exp (sqrt (exp (* h1 h1)))) (* (cbrt (sqrt (exp (* h1 h1)))) (cbrt (sqrt (exp (* h1 h1))))) (cbrt (sqrt (exp (* h1 h1)))) (* (* (sqrt (exp (* h1 h1))) (sqrt (exp (* h1 h1)))) (sqrt (exp (* h1 h1)))) (sqrt (* (cbrt (exp (* h1 h1))) (cbrt (exp (* h1 h1))))) (sqrt (cbrt (exp (* h1 h1)))) (sqrt (sqrt (exp (* h1 h1)))) (sqrt (sqrt (exp (* h1 h1)))) (sqrt 1) (sqrt (exp (* h1 h1))) (/ h1 2) (/ 1 2) (/ h1 2) (sqrt (sqrt (exp (* h1 h1)))) (sqrt (sqrt (exp (* h1 h1)))) (log (sqrt (exp (* h1 h1)))) (exp (sqrt (exp (* h1 h1)))) (* (cbrt (sqrt (exp (* h1 h1)))) (cbrt (sqrt (exp (* h1 h1))))) (cbrt (sqrt (exp (* h1 h1)))) (* (* (sqrt (exp (* h1 h1))) (sqrt (exp (* h1 h1)))) (sqrt (exp (* h1 h1)))) (sqrt (* (cbrt (exp (* h1 h1))) (cbrt (exp (* h1 h1))))) (sqrt (cbrt (exp (* h1 h1)))) (sqrt (sqrt (exp (* h1 h1)))) (sqrt (sqrt (exp (* h1 h1)))) (sqrt 1) (sqrt (exp (* h1 h1))) (/ h1 2) (/ 1 2) (/ h1 2) (sqrt (sqrt (exp (* h1 h1)))) (sqrt (sqrt (exp (* h1 h1)))) h0 (* h0 (sqrt (exp (pow h1 2)))) (* h0 (sqrt (exp (pow h1 2)))) h0 (* h0 (exp (pow h1 2))) (* h0 (exp (pow h1 2))) (+ (* 1/2 (pow h1 2)) (+ (* 1/8 (pow h1 4)) 1)) (sqrt (exp (pow h1 2))) (sqrt (exp (pow h1 2))) (+ (* 1/2 (pow h1 2)) (+ (* 1/8 (pow h1 4)) 1)) (sqrt (exp (pow h1 2))) (sqrt (exp (pow h1 2))) 0.510 * * [simplify]: iteration 0 : 164 enodes (cost 464 ) 0.513 * * [simplify]: iteration 1 : 785 enodes (cost 404 ) 0.528 * * [simplify]: iteration 2 : 3042 enodes (cost 392 ) 0.588 * * [simplify]: iteration 3 : 5001 enodes (cost 392 ) 0.590 * * * [progress]: adding candidates to table 0.747 * [progress]: [Phase 3 of 3] Extracting. 0.747 * * [regime]: Finding splitpoints for: (# #) 0.748 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (exp (* y y)) (* x (exp (* y y))) y x) 0.748 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.758 * * * * [regimes]: Trying to branch on (exp (* y y)) from (# #) 0.769 * * * * [regimes]: Trying to branch on (* x (exp (* y y))) from (# #) 0.784 * * * * [regimes]: Trying to branch on y from (# #) 0.797 * * * * [regimes]: Trying to branch on x from (# #) 0.808 * * * [regime]: Found split indices: #