18.366 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying: (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.026 * [simplify]: Sending expressions to egg_math: (+ (+ (* h2 h2) (* (* h2 h1) h0)) (* h0 h0)) 0.028 * * [simplify]: iteration 0 : 18 enodes (cost 5 ) 0.030 * * [simplify]: iteration 1 : 46 enodes (cost 4 ) 0.032 * * [simplify]: iteration 2 : 77 enodes (cost 4 ) 0.034 * * [simplify]: iteration 3 : 87 enodes (cost 3 ) 0.036 * * [simplify]: iteration 4 : 87 enodes (cost 3 ) 0.041 * * [progress]: iteration 1 / 4 0.041 * * * [progress]: picking best candidate 0.043 * * * * [pick]: Picked # 0.043 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.059 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.093 * * * [progress]: generating series expansions 0.093 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.093 * [backup-simplify]: Simplify (+ (* x x) (* (* x 2.0) y)) into (+ (pow x 2) (* 2.0 (* x y))) 0.093 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.093 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.093 * [taylor]: Taking taylor expansion of x in y 0.093 * [backup-simplify]: Simplify x into x 0.093 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.093 * [taylor]: Taking taylor expansion of 2.0 in y 0.093 * [backup-simplify]: Simplify 2.0 into 2.0 0.093 * [taylor]: Taking taylor expansion of (* x y) in y 0.093 * [taylor]: Taking taylor expansion of x in y 0.093 * [backup-simplify]: Simplify x into x 0.093 * [taylor]: Taking taylor expansion of y in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.093 * [taylor]: Taking taylor expansion of 2.0 in x 0.093 * [backup-simplify]: Simplify 2.0 into 2.0 0.093 * [taylor]: Taking taylor expansion of (* x y) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [taylor]: Taking taylor expansion of y in x 0.093 * [backup-simplify]: Simplify y into y 0.093 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.094 * [taylor]: Taking taylor expansion of 2.0 in x 0.094 * [backup-simplify]: Simplify 2.0 into 2.0 0.094 * [taylor]: Taking taylor expansion of (* x y) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [taylor]: Taking taylor expansion of y in x 0.094 * [backup-simplify]: Simplify y into y 0.094 * [backup-simplify]: Simplify (* 0 y) into 0 0.094 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.095 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.095 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.095 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.095 * [taylor]: Taking taylor expansion of 2.0 in y 0.095 * [backup-simplify]: Simplify 2.0 into 2.0 0.095 * [taylor]: Taking taylor expansion of y in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (* 1 1) into 1 0.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.097 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 0.097 * [backup-simplify]: Simplify (+ 1 0) into 1 0.097 * [taylor]: Taking taylor expansion of 1 in y 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.098 * [backup-simplify]: Simplify 2.0 into 2.0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.099 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.100 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.102 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.103 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 0.104 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 0.104 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [backup-simplify]: Simplify x into x 0.104 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.104 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.104 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.104 * [taylor]: Taking taylor expansion of 2.0 in y 0.104 * [backup-simplify]: Simplify 2.0 into 2.0 0.104 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.104 * [taylor]: Taking taylor expansion of (* x y) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [backup-simplify]: Simplify x into x 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (* x 0) into 0 0.104 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.104 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (* 1 1) into 1 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.105 * [taylor]: Taking taylor expansion of 2.0 in x 0.105 * [backup-simplify]: Simplify 2.0 into 2.0 0.105 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.105 * [taylor]: Taking taylor expansion of (* x y) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [backup-simplify]: Simplify y into y 0.105 * [backup-simplify]: Simplify (* 0 y) into 0 0.105 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.105 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [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 * [backup-simplify]: Simplify (* 1 1) into 1 0.106 * [backup-simplify]: Simplify (/ 1 1) into 1 0.106 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.106 * [taylor]: Taking taylor expansion of 2.0 in x 0.106 * [backup-simplify]: Simplify 2.0 into 2.0 0.106 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.106 * [taylor]: Taking taylor expansion of (* x y) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [backup-simplify]: Simplify y into y 0.106 * [backup-simplify]: Simplify (* 0 y) into 0 0.106 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.106 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.109 * [backup-simplify]: Simplify (+ 1 0) into 1 0.109 * [taylor]: Taking taylor expansion of 1 in y 0.109 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.110 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.110 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.110 * [taylor]: Taking taylor expansion of 2.0 in y 0.110 * [backup-simplify]: Simplify 2.0 into 2.0 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (/ 1 1) into 1 0.111 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.111 * [backup-simplify]: Simplify 2.0 into 2.0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.113 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) 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 (- (+ (* 1 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.116 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.121 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.121 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 0.121 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [backup-simplify]: Simplify x into x 0.121 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.122 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.122 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.122 * [taylor]: Taking taylor expansion of 2.0 in y 0.122 * [backup-simplify]: Simplify 2.0 into 2.0 0.122 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.122 * [taylor]: Taking taylor expansion of (* x y) in y 0.122 * [taylor]: Taking taylor expansion of x in y 0.122 * [backup-simplify]: Simplify x into x 0.122 * [taylor]: Taking taylor expansion of y in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (* x 0) into 0 0.122 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.122 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (* 1 1) into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.123 * [taylor]: Taking taylor expansion of 2.0 in x 0.123 * [backup-simplify]: Simplify 2.0 into 2.0 0.123 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.123 * [taylor]: Taking taylor expansion of (* x y) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [backup-simplify]: Simplify y into y 0.123 * [backup-simplify]: Simplify (* 0 y) into 0 0.123 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.123 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (* 1 1) into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.124 * [taylor]: Taking taylor expansion of 2.0 in x 0.124 * [backup-simplify]: Simplify 2.0 into 2.0 0.124 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.124 * [taylor]: Taking taylor expansion of (* x y) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of y in x 0.124 * [backup-simplify]: Simplify y into y 0.124 * [backup-simplify]: Simplify (* 0 y) into 0 0.124 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.124 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.125 * [backup-simplify]: Simplify (+ 1 0) into 1 0.125 * [taylor]: Taking taylor expansion of 1 in y 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.126 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.126 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.126 * [taylor]: Taking taylor expansion of 2.0 in y 0.126 * [backup-simplify]: Simplify 2.0 into 2.0 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (* 2.0 1) into 2.0 0.126 * [backup-simplify]: Simplify 2.0 into 2.0 0.126 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.128 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.132 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) 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 0 into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) 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 0.135 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.136 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [taylor]: Taking taylor expansion of 0 in y 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)) (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.137 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.137 * [backup-simplify]: Simplify (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.137 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.137 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.137 * [taylor]: Taking taylor expansion of x in y 0.137 * [backup-simplify]: Simplify x into x 0.137 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.137 * [taylor]: Taking taylor expansion of 2.0 in y 0.137 * [backup-simplify]: Simplify 2.0 into 2.0 0.137 * [taylor]: Taking taylor expansion of (* x y) in y 0.137 * [taylor]: Taking taylor expansion of x in y 0.137 * [backup-simplify]: Simplify x into x 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [backup-simplify]: Simplify y into y 0.137 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.137 * [taylor]: Taking taylor expansion of 2.0 in x 0.137 * [backup-simplify]: Simplify 2.0 into 2.0 0.137 * [taylor]: Taking taylor expansion of (* x y) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [backup-simplify]: Simplify y into y 0.137 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [backup-simplify]: Simplify y into y 0.138 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.138 * [taylor]: Taking taylor expansion of 2.0 in x 0.138 * [backup-simplify]: Simplify 2.0 into 2.0 0.138 * [taylor]: Taking taylor expansion of (* x y) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [backup-simplify]: Simplify y into y 0.138 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.138 * [backup-simplify]: Simplify (* 0 y) into 0 0.138 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.138 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.138 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.139 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.139 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.139 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.139 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.139 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.139 * [taylor]: Taking taylor expansion of 2.0 in y 0.139 * [backup-simplify]: Simplify 2.0 into 2.0 0.139 * [taylor]: Taking taylor expansion of y in y 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (* 1 1) into 1 0.140 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.140 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.141 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (+ 1 0) into 1 0.141 * [taylor]: Taking taylor expansion of 1 in y 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.142 * [backup-simplify]: Simplify 2.0 into 2.0 0.143 * [backup-simplify]: Simplify (* 1 1) into 1 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.143 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 0.143 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.143 * [taylor]: Taking taylor expansion of x in y 0.143 * [backup-simplify]: Simplify x into x 0.143 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.143 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (* 1 1) into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.144 * [taylor]: Taking taylor expansion of 2.0 in y 0.144 * [backup-simplify]: Simplify 2.0 into 2.0 0.144 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.144 * [taylor]: Taking taylor expansion of (* x y) in y 0.144 * [taylor]: Taking taylor expansion of x in y 0.144 * [backup-simplify]: Simplify x into x 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (* x 0) into 0 0.144 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.144 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (* 1 1) into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [backup-simplify]: Simplify y into y 0.145 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.145 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.145 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.145 * [taylor]: Taking taylor expansion of 2.0 in x 0.145 * [backup-simplify]: Simplify 2.0 into 2.0 0.145 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.145 * [taylor]: Taking taylor expansion of (* x y) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [backup-simplify]: Simplify y into y 0.145 * [backup-simplify]: Simplify (* 0 y) into 0 0.146 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.146 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (* 1 1) into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.146 * [backup-simplify]: Simplify y into y 0.146 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.147 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.147 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.147 * [taylor]: Taking taylor expansion of 2.0 in x 0.147 * [backup-simplify]: Simplify 2.0 into 2.0 0.147 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.147 * [taylor]: Taking taylor expansion of (* x y) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [backup-simplify]: Simplify y into y 0.147 * [backup-simplify]: Simplify (* 0 y) into 0 0.147 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.147 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.147 * [backup-simplify]: Simplify (+ 1 0) into 1 0.148 * [taylor]: Taking taylor expansion of 1 in y 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.148 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.148 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 0.149 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.149 * [taylor]: Taking taylor expansion of 2.0 in y 0.149 * [backup-simplify]: Simplify 2.0 into 2.0 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.151 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.151 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.151 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.152 * [backup-simplify]: Simplify 2.0 into 2.0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.153 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 0.153 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.153 * [taylor]: Taking taylor expansion of x in y 0.153 * [backup-simplify]: Simplify x into x 0.153 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.153 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (* 1 1) into 1 0.154 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.154 * [taylor]: Taking taylor expansion of 2.0 in y 0.154 * [backup-simplify]: Simplify 2.0 into 2.0 0.154 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.154 * [taylor]: Taking taylor expansion of (* x y) in y 0.154 * [taylor]: Taking taylor expansion of x in y 0.154 * [backup-simplify]: Simplify x into x 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (* x 0) into 0 0.154 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.154 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (* 1 1) into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.155 * [backup-simplify]: Simplify y into y 0.155 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.155 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.155 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.155 * [taylor]: Taking taylor expansion of 2.0 in x 0.155 * [backup-simplify]: Simplify 2.0 into 2.0 0.155 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.155 * [taylor]: Taking taylor expansion of (* x y) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [taylor]: Taking taylor expansion of y in x 0.155 * [backup-simplify]: Simplify y into y 0.155 * [backup-simplify]: Simplify (* 0 y) into 0 0.155 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.155 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (* 1 1) into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.156 * [backup-simplify]: Simplify y into y 0.156 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.156 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.156 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.156 * [taylor]: Taking taylor expansion of 2.0 in x 0.156 * [backup-simplify]: Simplify 2.0 into 2.0 0.156 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.156 * [taylor]: Taking taylor expansion of (* x y) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [taylor]: Taking taylor expansion of y in x 0.156 * [backup-simplify]: Simplify y into y 0.156 * [backup-simplify]: Simplify (* 0 y) into 0 0.157 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.157 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.157 * [backup-simplify]: Simplify (+ 1 0) into 1 0.157 * [taylor]: Taking taylor expansion of 1 in y 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.158 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.158 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 0.158 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.158 * [taylor]: Taking taylor expansion of 2.0 in y 0.158 * [backup-simplify]: Simplify 2.0 into 2.0 0.158 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.160 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.160 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.160 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (* 1 1) into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.161 * [backup-simplify]: Simplify 2.0 into 2.0 0.161 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.162 * * * [progress]: simplifying candidates 0.162 * [simplify]: Simplifying: (expm1 (+ (* x x) (* (* x 2.0) y))) (log1p (+ (* x x) (* (* x 2.0) y))) (* (exp (* x x)) (exp (* (* x 2.0) y))) (log (+ (* x x) (* (* x 2.0) y))) (exp (+ (* x x) (* (* x 2.0) y))) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (* (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x x) (* (* x 2.0) y)))) (- (* (* x x) (* x x)) (* (* (* x 2.0) y) (* (* x 2.0) y))) (- (* x x) (* (* x 2.0) y)) (expm1 (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (log1p (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (exp (* x x)) (exp (* (* x 2.0) y))) (exp (* y y))) (* (exp (+ (* x x) (* (* x 2.0) y))) (exp (* y y))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y)))) (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y))) (- (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (* (* x 2.0) y) (* y y)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.163 * [simplify]: Sending expressions to egg_math: (expm1 (+ (* h2 h2) (* (* h2 h1) h0))) (log1p (+ (* h2 h2) (* (* h2 h1) h0))) (* (exp (* h2 h2)) (exp (* (* h2 h1) h0))) (log (+ (* h2 h2) (* (* h2 h1) h0))) (exp (+ (* h2 h2) (* (* h2 h1) h0))) (* (cbrt (+ (* h2 h2) (* (* h2 h1) h0))) (cbrt (+ (* h2 h2) (* (* h2 h1) h0)))) (cbrt (+ (* h2 h2) (* (* h2 h1) h0))) (* (* (+ (* h2 h2) (* (* h2 h1) h0)) (+ (* h2 h2) (* (* h2 h1) h0))) (+ (* h2 h2) (* (* h2 h1) h0))) (sqrt (+ (* h2 h2) (* (* h2 h1) h0))) (sqrt (+ (* h2 h2) (* (* h2 h1) h0))) (+ (pow (* h2 h2) 3) (pow (* (* h2 h1) h0) 3)) (+ (* (* h2 h2) (* h2 h2)) (- (* (* (* h2 h1) h0) (* (* h2 h1) h0)) (* (* h2 h2) (* (* h2 h1) h0)))) (- (* (* h2 h2) (* h2 h2)) (* (* (* h2 h1) h0) (* (* h2 h1) h0))) (- (* h2 h2) (* (* h2 h1) h0)) (expm1 (+ (+ (* h2 h2) (* (* h2 h1) h0)) (* h0 h0))) (log1p (+ (+ (* h2 h2) (* (* h2 h1) h0)) (* h0 h0))) (* (* (exp (* h2 h2)) (exp (* (* h2 h1) h0))) (exp (* h0 h0))) (* (exp (+ (* h2 h2) (* (* h2 h1) h0))) (exp (* h0 h0))) (log (+ (+ (* h2 h2) (* (* h2 h1) h0)) (* h0 h0))) (exp (+ (+ (* h2 h2) (* (* h2 h1) h0)) (* h0 h0))) (* (cbrt (+ (+ (* h2 h2) (* (* h2 h1) h0)) (* h0 h0))) (cbrt (+ (+ (* h2 h2) (* (* h2 h1) h0)) (* h0 h0)))) (cbrt (+ (+ (* h2 h2) (* (* h2 h1) h0)) (* h0 h0))) (* (* (+ (+ (* h2 h2) (* (* h2 h1) h0)) (* h0 h0)) (+ (+ (* h2 h2) (* (* h2 h1) h0)) (* h0 h0))) (+ (+ (* h2 h2) (* (* h2 h1) h0)) (* h0 h0))) (sqrt (+ (+ (* h2 h2) (* (* h2 h1) h0)) (* h0 h0))) (sqrt (+ (+ (* h2 h2) (* (* h2 h1) h0)) (* h0 h0))) (+ (pow (+ (* h2 h2) (* (* h2 h1) h0)) 3) (pow (* h0 h0) 3)) (+ (* (+ (* h2 h2) (* (* h2 h1) h0)) (+ (* h2 h2) (* (* h2 h1) h0))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h2 h2) (* (* h2 h1) h0)) (* h0 h0)))) (- (* (+ (* h2 h2) (* (* h2 h1) h0)) (+ (* h2 h2) (* (* h2 h1) h0))) (* (* h0 h0) (* h0 h0))) (- (+ (* h2 h2) (* (* h2 h1) h0)) (* h0 h0)) (+ (* (* h2 h1) h0) (* h0 h0)) (+ (pow h2 2) (* h1 (* h2 h0))) (+ (pow h2 2) (* h1 (* h2 h0))) (+ (pow h2 2) (* h1 (* h2 h0))) (+ (pow h2 2) (+ (pow h0 2) (* h1 (* h2 h0)))) (+ (pow h2 2) (+ (pow h0 2) (* h1 (* h2 h0)))) (+ (pow h2 2) (+ (pow h0 2) (* h1 (* h2 h0)))) 0.166 * * [simplify]: iteration 0 : 204 enodes (cost 251 ) 0.172 * * [simplify]: iteration 1 : 1082 enodes (cost 223 ) 0.198 * * [simplify]: iteration 2 : 5002 enodes (cost 196 ) 0.200 * * * [progress]: adding candidates to table 0.283 * * [progress]: iteration 2 / 4 0.283 * * * [progress]: picking best candidate 0.286 * * * * [pick]: Picked # 0.286 * * * [progress]: localizing error 0.293 * * * [progress]: generating rewritten candidates 0.293 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.299 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.300 * * * [progress]: generating series expansions 0.300 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.300 * [backup-simplify]: Simplify (+ (fma x x (* (* x 2.0) y)) (* y y)) into (+ (pow y 2) (fma x x (* 2.0 (* x y)))) 0.300 * [approximate]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in (x y) around 0 0.300 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in y 0.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in y 0.300 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.300 * [taylor]: Taking taylor expansion of (* x x) in y 0.300 * [taylor]: Taking taylor expansion of x in y 0.300 * [backup-simplify]: Simplify x into x 0.300 * [taylor]: Taking taylor expansion of x in y 0.300 * [backup-simplify]: Simplify x into x 0.300 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.300 * [taylor]: Taking taylor expansion of 2.0 in y 0.300 * [backup-simplify]: Simplify 2.0 into 2.0 0.300 * [taylor]: Taking taylor expansion of (* x y) in y 0.300 * [taylor]: Taking taylor expansion of x in y 0.300 * [backup-simplify]: Simplify x into x 0.300 * [taylor]: Taking taylor expansion of y in y 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in x 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [backup-simplify]: Simplify y into y 0.301 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 0.301 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.301 * [taylor]: Taking taylor expansion of (* x x) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.301 * [taylor]: Taking taylor expansion of 2.0 in x 0.301 * [backup-simplify]: Simplify 2.0 into 2.0 0.301 * [taylor]: Taking taylor expansion of (* x y) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [backup-simplify]: Simplify y into y 0.301 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in x 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [backup-simplify]: Simplify y into y 0.301 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 0.301 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.301 * [taylor]: Taking taylor expansion of (* x x) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.301 * [taylor]: Taking taylor expansion of 2.0 in x 0.301 * [backup-simplify]: Simplify 2.0 into 2.0 0.301 * [taylor]: Taking taylor expansion of (* x y) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [backup-simplify]: Simplify y into y 0.301 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.302 * [backup-simplify]: Simplify (* 0 0) into 0 0.302 * [backup-simplify]: Simplify (* 0 y) into 0 0.302 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.303 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.303 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.304 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.304 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.304 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.304 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.304 * [taylor]: Taking taylor expansion of 2.0 in y 0.304 * [backup-simplify]: Simplify 2.0 into 2.0 0.304 * [taylor]: Taking taylor expansion of y in y 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.305 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.305 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 0.306 * [backup-simplify]: Simplify (+ 1 0) into 1 0.306 * [backup-simplify]: Simplify (+ 0 1) into 1 0.306 * [taylor]: Taking taylor expansion of 1 in y 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.307 * [backup-simplify]: Simplify 2.0 into 2.0 0.307 * [backup-simplify]: Simplify (* 1 1) into 1 0.307 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.308 * [backup-simplify]: Simplify (+ (fma (/ 1 x) (/ 1 x) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) 0.308 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in (x y) around 0 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in y 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in y 0.309 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.309 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [backup-simplify]: Simplify x into x 0.309 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [backup-simplify]: Simplify x into x 0.309 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.309 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 0.309 * [taylor]: Taking taylor expansion of 2.0 in y 0.309 * [backup-simplify]: Simplify 2.0 into 2.0 0.309 * [taylor]: Taking taylor expansion of (* x y) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [backup-simplify]: Simplify x into x 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (* x 0) into 0 0.310 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.310 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [backup-simplify]: Simplify y into y 0.310 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.310 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.310 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 0.310 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.310 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (/ 1 1) into 1 0.311 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.311 * [taylor]: Taking taylor expansion of 2.0 in x 0.311 * [backup-simplify]: Simplify 2.0 into 2.0 0.311 * [taylor]: Taking taylor expansion of (* x y) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [taylor]: Taking taylor expansion of y in x 0.311 * [backup-simplify]: Simplify y into y 0.311 * [backup-simplify]: Simplify (* 0 y) into 0 0.311 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.311 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.311 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.311 * [taylor]: Taking taylor expansion of y in x 0.311 * [backup-simplify]: Simplify y into y 0.311 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.312 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.312 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 0.312 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.312 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.312 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.312 * [taylor]: Taking taylor expansion of 2.0 in x 0.312 * [backup-simplify]: Simplify 2.0 into 2.0 0.312 * [taylor]: Taking taylor expansion of (* x y) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of y in x 0.312 * [backup-simplify]: Simplify y into y 0.312 * [backup-simplify]: Simplify (* 0 y) into 0 0.313 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.313 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 0.313 * [backup-simplify]: Simplify (* 1 1) into 1 0.313 * [backup-simplify]: Simplify (+ 1 0) into 1 0.314 * [backup-simplify]: Simplify (+ 0 1) into 1 0.314 * [taylor]: Taking taylor expansion of 1 in y 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.315 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 0.315 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.315 * [taylor]: Taking taylor expansion of 2.0 in y 0.315 * [backup-simplify]: Simplify 2.0 into 2.0 0.315 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.317 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)))) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (* 1 1) into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.319 * [backup-simplify]: Simplify 2.0 into 2.0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.320 * [backup-simplify]: Simplify (+ (fma (/ 1 (- x)) (/ 1 (- x)) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) 0.320 * [approximate]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in (x y) around 0 0.320 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in y 0.320 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in y 0.320 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.320 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.320 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.320 * [taylor]: Taking taylor expansion of -1 in y 0.320 * [backup-simplify]: Simplify -1 into -1 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [backup-simplify]: Simplify x into x 0.320 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.320 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.320 * [taylor]: Taking taylor expansion of -1 in y 0.320 * [backup-simplify]: Simplify -1 into -1 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [backup-simplify]: Simplify x into x 0.320 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.320 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 0.320 * [taylor]: Taking taylor expansion of 2.0 in y 0.320 * [backup-simplify]: Simplify 2.0 into 2.0 0.320 * [taylor]: Taking taylor expansion of (* x y) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [backup-simplify]: Simplify x into x 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (* x 0) into 0 0.320 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.321 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (* 1 1) into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in x 0.321 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 0.321 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.321 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.321 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.321 * [taylor]: Taking taylor expansion of -1 in x 0.321 * [backup-simplify]: Simplify -1 into -1 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (/ -1 1) into -1 0.322 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.322 * [taylor]: Taking taylor expansion of -1 in x 0.322 * [backup-simplify]: Simplify -1 into -1 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (/ -1 1) into -1 0.322 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.322 * [taylor]: Taking taylor expansion of 2.0 in x 0.322 * [backup-simplify]: Simplify 2.0 into 2.0 0.322 * [taylor]: Taking taylor expansion of (* x y) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [backup-simplify]: Simplify y into y 0.322 * [backup-simplify]: Simplify (* 0 y) into 0 0.322 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.322 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [backup-simplify]: Simplify y into y 0.323 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.323 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.323 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in x 0.323 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 0.323 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.323 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.323 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.323 * [taylor]: Taking taylor expansion of -1 in x 0.323 * [backup-simplify]: Simplify -1 into -1 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (/ -1 1) into -1 0.323 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.323 * [taylor]: Taking taylor expansion of -1 in x 0.323 * [backup-simplify]: Simplify -1 into -1 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (/ -1 1) into -1 0.324 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.324 * [taylor]: Taking taylor expansion of 2.0 in x 0.324 * [backup-simplify]: Simplify 2.0 into 2.0 0.324 * [taylor]: Taking taylor expansion of (* x y) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [backup-simplify]: Simplify y into y 0.324 * [backup-simplify]: Simplify (* 0 y) into 0 0.324 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.324 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [backup-simplify]: Simplify y into y 0.324 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.324 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.325 * [backup-simplify]: Simplify (* -1 -1) into 1 0.325 * [backup-simplify]: Simplify (+ 1 0) into 1 0.325 * [backup-simplify]: Simplify (+ 1 0) into 1 0.325 * [taylor]: Taking taylor expansion of 1 in y 0.325 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.326 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.326 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 y)) 0) into (* 2.0 (/ 1 y)) 0.327 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.327 * [taylor]: Taking taylor expansion of 2.0 in y 0.327 * [backup-simplify]: Simplify 2.0 into 2.0 0.327 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.329 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)))) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (* 1 1) into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.330 * [backup-simplify]: Simplify 2.0 into 2.0 0.330 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.331 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.331 * [backup-simplify]: Simplify (fma x x (* (* x 2.0) y)) into (fma x x (* 2.0 (* x y))) 0.331 * [approximate]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in (x y) around 0 0.331 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in y 0.331 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.331 * [taylor]: Taking taylor expansion of (* x x) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [backup-simplify]: Simplify x into x 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [backup-simplify]: Simplify x into x 0.331 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.331 * [taylor]: Taking taylor expansion of 2.0 in y 0.331 * [backup-simplify]: Simplify 2.0 into 2.0 0.331 * [taylor]: Taking taylor expansion of (* x y) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [backup-simplify]: Simplify x into x 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 0.331 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.331 * [taylor]: Taking taylor expansion of (* x x) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.331 * [taylor]: Taking taylor expansion of 2.0 in x 0.331 * [backup-simplify]: Simplify 2.0 into 2.0 0.332 * [taylor]: Taking taylor expansion of (* x y) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [backup-simplify]: Simplify y into y 0.332 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 0.332 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.332 * [taylor]: Taking taylor expansion of (* x x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.332 * [taylor]: Taking taylor expansion of 2.0 in x 0.332 * [backup-simplify]: Simplify 2.0 into 2.0 0.332 * [taylor]: Taking taylor expansion of (* x y) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [backup-simplify]: Simplify y into y 0.332 * [backup-simplify]: Simplify (* 0 0) into 0 0.332 * [backup-simplify]: Simplify (* 0 y) into 0 0.333 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.333 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.334 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.334 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.334 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.334 * [taylor]: Taking taylor expansion of 2.0 in y 0.334 * [backup-simplify]: Simplify 2.0 into 2.0 0.334 * [taylor]: Taking taylor expansion of y in y 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.336 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 0.336 * [backup-simplify]: Simplify (+ 1 0) into 1 0.336 * [taylor]: Taking taylor expansion of 1 in y 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.337 * [backup-simplify]: Simplify 2.0 into 2.0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.339 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 0.343 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 x) (* (* (/ 1 x) 2.0) (/ 1 y))) into (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) 0.343 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in (x y) around 0 0.343 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in y 0.343 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.343 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [backup-simplify]: Simplify x into x 0.343 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [backup-simplify]: Simplify x into x 0.343 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.343 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 0.343 * [taylor]: Taking taylor expansion of 2.0 in y 0.343 * [backup-simplify]: Simplify 2.0 into 2.0 0.343 * [taylor]: Taking taylor expansion of (* x y) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [backup-simplify]: Simplify x into x 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (* x 0) into 0 0.344 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.344 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 0.344 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 0.344 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.344 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.344 * [taylor]: Taking taylor expansion of 2.0 in x 0.344 * [backup-simplify]: Simplify 2.0 into 2.0 0.345 * [taylor]: Taking taylor expansion of (* x y) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [backup-simplify]: Simplify y into y 0.345 * [backup-simplify]: Simplify (* 0 y) into 0 0.345 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.345 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 0.345 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 0.345 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.345 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (/ 1 1) into 1 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.346 * [taylor]: Taking taylor expansion of 2.0 in x 0.346 * [backup-simplify]: Simplify 2.0 into 2.0 0.346 * [taylor]: Taking taylor expansion of (* x y) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [backup-simplify]: Simplify y into y 0.346 * [backup-simplify]: Simplify (* 0 y) into 0 0.346 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.346 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 0.347 * [backup-simplify]: Simplify (* 1 1) into 1 0.347 * [backup-simplify]: Simplify (+ 1 0) into 1 0.347 * [taylor]: Taking taylor expansion of 1 in y 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.348 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.348 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.348 * [taylor]: Taking taylor expansion of 2.0 in y 0.348 * [backup-simplify]: Simplify 2.0 into 2.0 0.348 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.349 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.349 * [backup-simplify]: Simplify 2.0 into 2.0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.351 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)))) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.359 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.363 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.363 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [taylor]: Taking taylor expansion of 0 in y 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.364 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- x)) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) 0.364 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in (x y) around 0 0.364 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in y 0.365 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.365 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.365 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.365 * [taylor]: Taking taylor expansion of -1 in y 0.365 * [backup-simplify]: Simplify -1 into -1 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [backup-simplify]: Simplify x into x 0.365 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.365 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.365 * [taylor]: Taking taylor expansion of -1 in y 0.365 * [backup-simplify]: Simplify -1 into -1 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [backup-simplify]: Simplify x into x 0.365 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.365 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 0.365 * [taylor]: Taking taylor expansion of 2.0 in y 0.365 * [backup-simplify]: Simplify 2.0 into 2.0 0.365 * [taylor]: Taking taylor expansion of (* x y) in y 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [backup-simplify]: Simplify x into x 0.365 * [taylor]: Taking taylor expansion of y in y 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (* x 0) into 0 0.365 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.365 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 0.365 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 0.366 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.366 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.366 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.366 * [taylor]: Taking taylor expansion of -1 in x 0.366 * [backup-simplify]: Simplify -1 into -1 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (/ -1 1) into -1 0.366 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.366 * [taylor]: Taking taylor expansion of -1 in x 0.366 * [backup-simplify]: Simplify -1 into -1 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (/ -1 1) into -1 0.366 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.366 * [taylor]: Taking taylor expansion of 2.0 in x 0.366 * [backup-simplify]: Simplify 2.0 into 2.0 0.366 * [taylor]: Taking taylor expansion of (* x y) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.367 * [taylor]: Taking taylor expansion of y in x 0.367 * [backup-simplify]: Simplify y into y 0.367 * [backup-simplify]: Simplify (* 0 y) into 0 0.367 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.367 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 0.367 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 0.367 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.367 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.367 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.367 * [taylor]: Taking taylor expansion of -1 in x 0.367 * [backup-simplify]: Simplify -1 into -1 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (/ -1 1) into -1 0.368 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.368 * [taylor]: Taking taylor expansion of -1 in x 0.368 * [backup-simplify]: Simplify -1 into -1 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (/ -1 1) into -1 0.368 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.368 * [taylor]: Taking taylor expansion of 2.0 in x 0.368 * [backup-simplify]: Simplify 2.0 into 2.0 0.368 * [taylor]: Taking taylor expansion of (* x y) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [backup-simplify]: Simplify y into y 0.368 * [backup-simplify]: Simplify (* 0 y) into 0 0.368 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.368 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 0.369 * [backup-simplify]: Simplify (* -1 -1) into 1 0.369 * [backup-simplify]: Simplify (+ 1 0) into 1 0.369 * [taylor]: Taking taylor expansion of 1 in y 0.369 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.371 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.371 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.371 * [taylor]: Taking taylor expansion of 2.0 in y 0.371 * [backup-simplify]: Simplify 2.0 into 2.0 0.371 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.371 * [backup-simplify]: Simplify 2.0 into 2.0 0.371 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.374 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)))) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.378 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.378 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [taylor]: Taking taylor expansion of 0 in y 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.382 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.382 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.383 * * * [progress]: simplifying candidates 0.384 * [simplify]: Simplifying: (expm1 (+ (fma x x (* (* x 2.0) y)) (* y y))) (log1p (+ (fma x x (* (* x 2.0) y)) (* y y))) (* (exp (fma x x (* (* x 2.0) y))) (exp (* y y))) (log (+ (fma x x (* (* x 2.0) y)) (* y y))) (exp (+ (fma x x (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y)))) (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (* (* (+ (fma x x (* (* x 2.0) y)) (* y y)) (+ (fma x x (* (* x 2.0) y)) (* y y))) (+ (fma x x (* (* x 2.0) y)) (* y y))) (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (+ (pow (fma x x (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (fma x x (* (* x 2.0) y)) (* y y)))) (- (* (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y))) (* (* y y) (* y y))) (- (fma x x (* (* x 2.0) y)) (* y y)) (+ (* (* x 2.0) y) (* y y)) (expm1 (fma x x (* (* x 2.0) y))) (log1p (fma x x (* (* x 2.0) y))) (* x x) (log (fma x x (* (* x 2.0) y))) (exp (fma x x (* (* x 2.0) y))) (* (cbrt (fma x x (* (* x 2.0) y))) (cbrt (fma x x (* (* x 2.0) y)))) (cbrt (fma x x (* (* x 2.0) y))) (* (* (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y))) (fma x x (* (* x 2.0) y))) (sqrt (fma x x (* (* x 2.0) y))) (sqrt (fma x x (* (* x 2.0) y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 0.384 * [simplify]: Sending expressions to egg_math: (expm1 (+ (fma h2 h2 (* (* h2 h1) h0)) (* h0 h0))) (log1p (+ (fma h2 h2 (* (* h2 h1) h0)) (* h0 h0))) (* (exp (fma h2 h2 (* (* h2 h1) h0))) (exp (* h0 h0))) (log (+ (fma h2 h2 (* (* h2 h1) h0)) (* h0 h0))) (exp (+ (fma h2 h2 (* (* h2 h1) h0)) (* h0 h0))) (* (cbrt (+ (fma h2 h2 (* (* h2 h1) h0)) (* h0 h0))) (cbrt (+ (fma h2 h2 (* (* h2 h1) h0)) (* h0 h0)))) (cbrt (+ (fma h2 h2 (* (* h2 h1) h0)) (* h0 h0))) (* (* (+ (fma h2 h2 (* (* h2 h1) h0)) (* h0 h0)) (+ (fma h2 h2 (* (* h2 h1) h0)) (* h0 h0))) (+ (fma h2 h2 (* (* h2 h1) h0)) (* h0 h0))) (sqrt (+ (fma h2 h2 (* (* h2 h1) h0)) (* h0 h0))) (sqrt (+ (fma h2 h2 (* (* h2 h1) h0)) (* h0 h0))) (+ (pow (fma h2 h2 (* (* h2 h1) h0)) 3) (pow (* h0 h0) 3)) (+ (* (fma h2 h2 (* (* h2 h1) h0)) (fma h2 h2 (* (* h2 h1) h0))) (- (* (* h0 h0) (* h0 h0)) (* (fma h2 h2 (* (* h2 h1) h0)) (* h0 h0)))) (- (* (fma h2 h2 (* (* h2 h1) h0)) (fma h2 h2 (* (* h2 h1) h0))) (* (* h0 h0) (* h0 h0))) (- (fma h2 h2 (* (* h2 h1) h0)) (* h0 h0)) (+ (* (* h2 h1) h0) (* h0 h0)) (expm1 (fma h2 h2 (* (* h2 h1) h0))) (log1p (fma h2 h2 (* (* h2 h1) h0))) (* h2 h2) (log (fma h2 h2 (* (* h2 h1) h0))) (exp (fma h2 h2 (* (* h2 h1) h0))) (* (cbrt (fma h2 h2 (* (* h2 h1) h0))) (cbrt (fma h2 h2 (* (* h2 h1) h0)))) (cbrt (fma h2 h2 (* (* h2 h1) h0))) (* (* (fma h2 h2 (* (* h2 h1) h0)) (fma h2 h2 (* (* h2 h1) h0))) (fma h2 h2 (* (* h2 h1) h0))) (sqrt (fma h2 h2 (* (* h2 h1) h0))) (sqrt (fma h2 h2 (* (* h2 h1) h0))) (+ (pow h2 2) (+ (pow h0 2) (* h1 (* h2 h0)))) (+ (pow h2 2) (+ (pow h0 2) (* h1 (* h2 h0)))) (+ (pow h2 2) (+ (pow h0 2) (* h1 (* h2 h0)))) (+ (pow h2 2) (* h1 (* h2 h0))) (+ (pow h2 2) (* h1 (* h2 h0))) (+ (pow h2 2) (* h1 (* h2 h0))) 0.388 * * [simplify]: iteration 0 : 121 enodes (cost 188 ) 0.393 * * [simplify]: iteration 1 : 478 enodes (cost 167 ) 0.404 * * [simplify]: iteration 2 : 1983 enodes (cost 156 ) 0.455 * * [simplify]: iteration 3 : 5002 enodes (cost 149 ) 0.456 * * * [progress]: adding candidates to table 0.537 * * [progress]: iteration 3 / 4 0.537 * * * [progress]: picking best candidate 0.539 * * * * [pick]: Picked # 0.539 * * * [progress]: localizing error 0.546 * * * [progress]: generating rewritten candidates 0.546 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.547 * * * [progress]: generating series expansions 0.547 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.547 * [backup-simplify]: Simplify (fma y (fma 2.0 x y) (pow x 2)) into (fma y (fma 2.0 x y) (pow x 2)) 0.547 * [approximate]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in (y x) around 0 0.547 * [taylor]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in x 0.547 * [taylor]: Rewrote expression to (+ (* y (fma 2.0 x y)) (pow x 2)) 0.547 * [taylor]: Taking taylor expansion of (* y (fma 2.0 x y)) in x 0.547 * [taylor]: Taking taylor expansion of y in x 0.547 * [backup-simplify]: Simplify y into y 0.547 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.548 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.548 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.548 * [taylor]: Taking taylor expansion of 2.0 in x 0.548 * [backup-simplify]: Simplify 2.0 into 2.0 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [taylor]: Taking taylor expansion of y in x 0.548 * [backup-simplify]: Simplify y into y 0.548 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [taylor]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in y 0.548 * [taylor]: Rewrote expression to (+ (* y (fma 2.0 x y)) (pow x 2)) 0.548 * [taylor]: Taking taylor expansion of (* y (fma 2.0 x y)) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in y 0.548 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.548 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.548 * [taylor]: Taking taylor expansion of 2.0 in y 0.548 * [backup-simplify]: Simplify 2.0 into 2.0 0.548 * [taylor]: Taking taylor expansion of x in y 0.548 * [backup-simplify]: Simplify x into x 0.548 * [taylor]: Taking taylor expansion of y in y 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.548 * [taylor]: Taking taylor expansion of x in y 0.548 * [backup-simplify]: Simplify x into x 0.548 * [taylor]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in y 0.548 * [taylor]: Rewrote expression to (+ (* y (fma 2.0 x y)) (pow x 2)) 0.548 * [taylor]: Taking taylor expansion of (* y (fma 2.0 x y)) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in y 0.548 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.548 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.548 * [taylor]: Taking taylor expansion of 2.0 in y 0.548 * [backup-simplify]: Simplify 2.0 into 2.0 0.548 * [taylor]: Taking taylor expansion of x in y 0.549 * [backup-simplify]: Simplify x into x 0.549 * [taylor]: Taking taylor expansion of y in y 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.549 * [taylor]: Taking taylor expansion of x in y 0.549 * [backup-simplify]: Simplify x into x 0.549 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 0.549 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 0.549 * [backup-simplify]: Simplify (* 0 (* 2.0 x)) into 0 0.549 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.549 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 x)) into 0 0.550 * [backup-simplify]: Simplify (+ 0 1) into 1 0.550 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2.0 x))) into (* 2.0 x) 0.550 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.550 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 0.550 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.550 * [taylor]: Taking taylor expansion of 2.0 in x 0.550 * [backup-simplify]: Simplify 2.0 into 2.0 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.551 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 x))) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.552 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2.0 x)))) into 1 0.553 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.553 * [backup-simplify]: Simplify (+ 1 0) into 1 0.553 * [taylor]: Taking taylor expansion of 1 in x 0.553 * [backup-simplify]: Simplify 1 into 1 0.553 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.554 * [backup-simplify]: Simplify 2.0 into 2.0 0.554 * [backup-simplify]: Simplify (* 1 1) into 1 0.554 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2.0 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.555 * [backup-simplify]: Simplify (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (pow (/ 1 x) 2)) into (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (pow (/ 1 x) 2)) 0.555 * [approximate]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (pow (/ 1 x) 2)) in (y x) around 0 0.555 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (pow (/ 1 x) 2)) in x 0.555 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) (pow (/ 1 x) 2)) 0.555 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.555 * [taylor]: Taking taylor expansion of y in x 0.555 * [backup-simplify]: Simplify y into y 0.555 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.555 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.555 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.555 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.555 * [taylor]: Taking taylor expansion of 2.0 in x 0.555 * [backup-simplify]: Simplify 2.0 into 2.0 0.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (/ 1 1) into 1 0.556 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.556 * [taylor]: Taking taylor expansion of y in x 0.556 * [backup-simplify]: Simplify y into y 0.556 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.556 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (/ 1 1) into 1 0.556 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (pow (/ 1 x) 2)) in y 0.556 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) (pow (/ 1 x) 2)) 0.556 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) in y 0.556 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.556 * [taylor]: Taking taylor expansion of y in y 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (/ 1 1) into 1 0.557 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in y 0.557 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.557 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.557 * [taylor]: Taking taylor expansion of 2.0 in y 0.557 * [backup-simplify]: Simplify 2.0 into 2.0 0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.557 * [backup-simplify]: Simplify x into x 0.557 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.557 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (/ 1 1) into 1 0.557 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.557 * [backup-simplify]: Simplify x into x 0.557 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.557 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (pow (/ 1 x) 2)) in y 0.557 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) (pow (/ 1 x) 2)) 0.557 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify (/ 1 1) into 1 0.558 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in y 0.558 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.558 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.558 * [taylor]: Taking taylor expansion of 2.0 in y 0.558 * [backup-simplify]: Simplify 2.0 into 2.0 0.558 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.558 * [taylor]: Taking taylor expansion of x in y 0.558 * [backup-simplify]: Simplify x into x 0.558 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.558 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify (/ 1 1) into 1 0.558 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in y 0.558 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.558 * [taylor]: Taking taylor expansion of x in y 0.558 * [backup-simplify]: Simplify x into x 0.558 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.562 * [backup-simplify]: Simplify (+ 0 1) into 1 0.563 * [backup-simplify]: Simplify (* 1 1) into 1 0.563 * [backup-simplify]: Simplify (+ 1 0) into 1 0.563 * [taylor]: Taking taylor expansion of 1 in x 0.563 * [backup-simplify]: Simplify 1 into 1 0.563 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ (/ 2.0 x) 0) into (* 2.0 (/ 1 x)) 0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.565 * [backup-simplify]: Simplify (+ (* 1 (* 2.0 (/ 1 x))) (* 0 1)) into (* 2.0 (/ 1 x)) 0.565 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 x)) 0) into (* 2.0 (/ 1 x)) 0.565 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.565 * [taylor]: Taking taylor expansion of 2.0 in x 0.565 * [backup-simplify]: Simplify 2.0 into 2.0 0.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (/ 1 1) into 1 0.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.566 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.566 * [backup-simplify]: Simplify (+ 0 0) into 0 0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2.0 (/ 1 x))) (* 0 1))) into 0 0.568 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 0.568 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (* 1 1) into 1 0.568 * [backup-simplify]: Simplify (/ 1 1) into 1 0.568 * [backup-simplify]: Simplify 1 into 1 0.569 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.569 * [backup-simplify]: Simplify 2.0 into 2.0 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.569 * [backup-simplify]: Simplify (fma (/ 1 (- y)) (fma 2.0 (/ 1 (- x)) (/ 1 (- y))) (pow (/ 1 (- x)) 2)) into (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (pow (/ -1 x) 2)) 0.569 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (pow (/ -1 x) 2)) in (y x) around 0 0.569 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (pow (/ -1 x) 2)) in x 0.570 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) (pow (/ -1 x) 2)) 0.570 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) in x 0.570 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.570 * [taylor]: Taking taylor expansion of -1 in x 0.570 * [backup-simplify]: Simplify -1 into -1 0.570 * [taylor]: Taking taylor expansion of y in x 0.570 * [backup-simplify]: Simplify y into y 0.570 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.570 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.570 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.570 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.570 * [taylor]: Taking taylor expansion of 2.0 in x 0.570 * [backup-simplify]: Simplify 2.0 into 2.0 0.570 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.570 * [taylor]: Taking taylor expansion of -1 in x 0.570 * [backup-simplify]: Simplify -1 into -1 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (/ -1 1) into -1 0.570 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.570 * [taylor]: Taking taylor expansion of -1 in x 0.570 * [backup-simplify]: Simplify -1 into -1 0.570 * [taylor]: Taking taylor expansion of y in x 0.570 * [backup-simplify]: Simplify y into y 0.571 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.571 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in x 0.571 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.571 * [taylor]: Taking taylor expansion of -1 in x 0.571 * [backup-simplify]: Simplify -1 into -1 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify (/ -1 1) into -1 0.571 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (pow (/ -1 x) 2)) in y 0.571 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) (pow (/ -1 x) 2)) 0.571 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) in y 0.571 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.571 * [taylor]: Taking taylor expansion of -1 in y 0.571 * [backup-simplify]: Simplify -1 into -1 0.571 * [taylor]: Taking taylor expansion of y in y 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify (/ -1 1) into -1 0.572 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in y 0.572 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.572 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.572 * [taylor]: Taking taylor expansion of 2.0 in y 0.572 * [backup-simplify]: Simplify 2.0 into 2.0 0.572 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.572 * [taylor]: Taking taylor expansion of -1 in y 0.572 * [backup-simplify]: Simplify -1 into -1 0.572 * [taylor]: Taking taylor expansion of x in y 0.572 * [backup-simplify]: Simplify x into x 0.572 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.572 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.572 * [taylor]: Taking taylor expansion of -1 in y 0.572 * [backup-simplify]: Simplify -1 into -1 0.572 * [taylor]: Taking taylor expansion of y in y 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [backup-simplify]: Simplify (/ -1 1) into -1 0.572 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in y 0.572 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.572 * [taylor]: Taking taylor expansion of -1 in y 0.572 * [backup-simplify]: Simplify -1 into -1 0.572 * [taylor]: Taking taylor expansion of x in y 0.572 * [backup-simplify]: Simplify x into x 0.572 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.572 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (pow (/ -1 x) 2)) in y 0.572 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) (pow (/ -1 x) 2)) 0.572 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) in y 0.572 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.573 * [taylor]: Taking taylor expansion of -1 in y 0.573 * [backup-simplify]: Simplify -1 into -1 0.573 * [taylor]: Taking taylor expansion of y in y 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 1 into 1 0.573 * [backup-simplify]: Simplify (/ -1 1) into -1 0.573 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in y 0.573 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.573 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.573 * [taylor]: Taking taylor expansion of 2.0 in y 0.573 * [backup-simplify]: Simplify 2.0 into 2.0 0.573 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.573 * [taylor]: Taking taylor expansion of -1 in y 0.573 * [backup-simplify]: Simplify -1 into -1 0.573 * [taylor]: Taking taylor expansion of x in y 0.573 * [backup-simplify]: Simplify x into x 0.573 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.573 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.573 * [taylor]: Taking taylor expansion of -1 in y 0.573 * [backup-simplify]: Simplify -1 into -1 0.573 * [taylor]: Taking taylor expansion of y in y 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 1 into 1 0.574 * [backup-simplify]: Simplify (/ -1 1) into -1 0.574 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in y 0.574 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.574 * [taylor]: Taking taylor expansion of -1 in y 0.574 * [backup-simplify]: Simplify -1 into -1 0.574 * [taylor]: Taking taylor expansion of x in y 0.574 * [backup-simplify]: Simplify x into x 0.574 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.574 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.574 * [backup-simplify]: Simplify (* -1 -1) into 1 0.575 * [backup-simplify]: Simplify (+ 1 0) into 1 0.575 * [taylor]: Taking taylor expansion of 1 in x 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [backup-simplify]: Simplify (* 2.0 (/ -1 x)) into (/ -2.0 x) 0.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify (+ (/ -2.0 x) 0) into (- (* 2.0 (/ 1 x))) 0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (+ (* -1 (- (* 2.0 (/ 1 x)))) (* 0 -1)) into (* 2.0 (/ 1 x)) 0.576 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 x)) 0) into (* 2.0 (/ 1 x)) 0.576 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.576 * [taylor]: Taking taylor expansion of 2.0 in x 0.576 * [backup-simplify]: Simplify 2.0 into 2.0 0.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 1 into 1 0.577 * [backup-simplify]: Simplify (/ 1 1) into 1 0.577 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.577 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ -1 x))) into 0 0.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.578 * [backup-simplify]: Simplify (+ 0 0) into 0 0.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.579 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2.0 (/ 1 x)))) (* 0 -1))) into 0 0.579 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 0.579 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.579 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.580 * [backup-simplify]: Simplify (* 1 1) into 1 0.580 * [backup-simplify]: Simplify (/ 1 1) into 1 0.580 * [backup-simplify]: Simplify 1 into 1 0.580 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.580 * [backup-simplify]: Simplify 2.0 into 2.0 0.580 * [backup-simplify]: Simplify 1 into 1 0.581 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.581 * * * [progress]: simplifying candidates 0.581 * [simplify]: Simplifying: (expm1 (fma y (fma 2.0 x y) (pow x 2))) (log1p (fma y (fma 2.0 x y) (pow x 2))) (* y (fma 2.0 x y)) (log (fma y (fma 2.0 x y) (pow x 2))) (exp (fma y (fma 2.0 x y) (pow x 2))) (* (cbrt (fma y (fma 2.0 x y) (pow x 2))) (cbrt (fma y (fma 2.0 x y) (pow x 2)))) (cbrt (fma y (fma 2.0 x y) (pow x 2))) (* (* (fma y (fma 2.0 x y) (pow x 2)) (fma y (fma 2.0 x y) (pow x 2))) (fma y (fma 2.0 x y) (pow x 2))) (sqrt (fma y (fma 2.0 x y) (pow x 2))) (sqrt (fma y (fma 2.0 x y) (pow x 2))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.581 * [simplify]: Sending expressions to egg_math: (expm1 (fma h1 (fma h2 h0 h1) (pow h0 2))) (log1p (fma h1 (fma h2 h0 h1) (pow h0 2))) (* h1 (fma h2 h0 h1)) (log (fma h1 (fma h2 h0 h1) (pow h0 2))) (exp (fma h1 (fma h2 h0 h1) (pow h0 2))) (* (cbrt (fma h1 (fma h2 h0 h1) (pow h0 2))) (cbrt (fma h1 (fma h2 h0 h1) (pow h0 2)))) (cbrt (fma h1 (fma h2 h0 h1) (pow h0 2))) (* (* (fma h1 (fma h2 h0 h1) (pow h0 2)) (fma h1 (fma h2 h0 h1) (pow h0 2))) (fma h1 (fma h2 h0 h1) (pow h0 2))) (sqrt (fma h1 (fma h2 h0 h1) (pow h0 2))) (sqrt (fma h1 (fma h2 h0 h1) (pow h0 2))) (+ (pow h0 2) (+ (pow h1 2) (* h2 (* h0 h1)))) (+ (pow h0 2) (+ (pow h1 2) (* h2 (* h0 h1)))) (+ (pow h0 2) (+ (pow h1 2) (* h2 (* h0 h1)))) 0.584 * * [simplify]: iteration 0 : 41 enodes (cost 68 ) 0.587 * * [simplify]: iteration 1 : 97 enodes (cost 52 ) 0.591 * * [simplify]: iteration 2 : 453 enodes (cost 52 ) 0.605 * * [simplify]: iteration 3 : 2426 enodes (cost 52 ) 0.683 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.685 * * * [progress]: adding candidates to table 0.715 * [progress]: [Phase 3 of 3] Extracting. 0.715 * * [regime]: Finding splitpoints for: (# #) 0.715 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.715 * * * * [regimes]: Trying to branch on y from (# #) 0.730 * * * * [regimes]: Trying to branch on x from (# #) 0.742 * * * [regime]: Found split indices: #