4.301 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying: (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673) 0.016 * [simplify]: Sending expressions to egg_math: (+ (- (* h0 (- h1 h2)) (* h1 h3)) h4) 0.018 * * [simplify]: iteration 0 : 20 enodes (cost 5 ) 0.020 * * [simplify]: iteration 1 : 48 enodes (cost 5 ) 0.021 * * [simplify]: iteration 2 : 105 enodes (cost 5 ) 0.024 * * [simplify]: iteration 3 : 224 enodes (cost 5 ) 0.027 * * [simplify]: iteration 4 : 418 enodes (cost 4 ) 0.031 * * [simplify]: iteration 5 : 681 enodes (cost 4 ) 0.036 * * [simplify]: iteration 6 : 970 enodes (cost 4 ) 0.045 * * [simplify]: iteration 7 : 1398 enodes (cost 4 ) 0.053 * * [simplify]: iteration 8 : 1987 enodes (cost 4 ) 0.061 * * [simplify]: iteration 9 : 1991 enodes (cost 4 ) 0.069 * * [simplify]: iteration 10 : 1991 enodes (cost 4 ) 0.072 * * [progress]: iteration 1 / 4 0.072 * * * [progress]: picking best candidate 0.073 * * * * [pick]: Picked # 0.073 * * * [progress]: localizing error 0.080 * * * [progress]: generating rewritten candidates 0.080 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.103 * * * [progress]: generating series expansions 0.103 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.103 * [backup-simplify]: Simplify (- (* x (- y 1.0)) (* y 0.5)) into (- (* x y) (+ (* 1.0 x) (* 0.5 y))) 0.103 * [approximate]: Taking taylor expansion of (- (* x y) (+ (* 1.0 x) (* 0.5 y))) in (x y) around 0 0.103 * [taylor]: Taking taylor expansion of (- (* x y) (+ (* 1.0 x) (* 0.5 y))) in y 0.103 * [taylor]: Taking taylor expansion of (* x y) in y 0.103 * [taylor]: Taking taylor expansion of x in y 0.103 * [backup-simplify]: Simplify x into x 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* 0.5 y)) in y 0.103 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.103 * [taylor]: Taking taylor expansion of 1.0 in y 0.103 * [backup-simplify]: Simplify 1.0 into 1.0 0.103 * [taylor]: Taking taylor expansion of x in y 0.103 * [backup-simplify]: Simplify x into x 0.103 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.103 * [taylor]: Taking taylor expansion of 0.5 in y 0.103 * [backup-simplify]: Simplify 0.5 into 0.5 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 * [taylor]: Taking taylor expansion of (- (* x y) (+ (* 1.0 x) (* 0.5 y))) in x 0.104 * [taylor]: Taking taylor expansion of (* x y) 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 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [backup-simplify]: Simplify y into y 0.104 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* 0.5 y)) in x 0.104 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [backup-simplify]: Simplify 1.0 into 1.0 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 0.104 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.104 * [taylor]: Taking taylor expansion of 0.5 in x 0.104 * [backup-simplify]: Simplify 0.5 into 0.5 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [backup-simplify]: Simplify y into y 0.104 * [taylor]: Taking taylor expansion of (- (* x y) (+ (* 1.0 x) (* 0.5 y))) in x 0.104 * [taylor]: Taking taylor expansion of (* x y) 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 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [backup-simplify]: Simplify y into y 0.104 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* 0.5 y)) in x 0.104 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [backup-simplify]: Simplify 1.0 into 1.0 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 0.104 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.104 * [taylor]: Taking taylor expansion of 0.5 in x 0.104 * [backup-simplify]: Simplify 0.5 into 0.5 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [backup-simplify]: Simplify y into y 0.104 * [backup-simplify]: Simplify (* 0 y) into 0 0.105 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.105 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.105 * [backup-simplify]: Simplify (+ 0 (* 0.5 y)) into (* 0.5 y) 0.105 * [backup-simplify]: Simplify (- (* 0.5 y)) into (- (* 0.5 y)) 0.105 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 y))) into (- (* 0.5 y)) 0.105 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.105 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.105 * [taylor]: Taking taylor expansion of 0.5 in y 0.105 * [backup-simplify]: Simplify 0.5 into 0.5 0.105 * [taylor]: Taking taylor expansion of y in y 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.105 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.107 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.107 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 y)) into 0 0.107 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.107 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.108 * [backup-simplify]: Simplify (+ y (- 1.0)) into (- y 1.0) 0.108 * [taylor]: Taking taylor expansion of (- y 1.0) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [taylor]: Taking taylor expansion of 1.0 in y 0.108 * [backup-simplify]: Simplify 1.0 into 1.0 0.108 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.108 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.109 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.109 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.110 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.110 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.111 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.111 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 y))) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (+ 1 0) into 1 0.112 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (+ (* (- 0.5) (* y 1)) (* (- 1.0) (* 1 x)))) into (- (* x y) (+ (* 1.0 x) (* 0.5 y))) 0.113 * [backup-simplify]: Simplify (- (* (/ 1 x) (- (/ 1 y) 1.0)) (* (/ 1 y) 0.5)) into (- (/ 1 (* x y)) (+ (* 0.5 (/ 1 y)) (* 1.0 (/ 1 x)))) 0.113 * [approximate]: Taking taylor expansion of (- (/ 1 (* x y)) (+ (* 0.5 (/ 1 y)) (* 1.0 (/ 1 x)))) in (x y) around 0 0.113 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (+ (* 0.5 (/ 1 y)) (* 1.0 (/ 1 x)))) in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.113 * [taylor]: Taking taylor expansion of (* x y) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [backup-simplify]: Simplify x into x 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (* x 0) into 0 0.114 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.114 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.114 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 1.0 (/ 1 x))) in y 0.114 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.114 * [taylor]: Taking taylor expansion of 0.5 in y 0.114 * [backup-simplify]: Simplify 0.5 into 0.5 0.114 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (/ 1 1) into 1 0.115 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.115 * [taylor]: Taking taylor expansion of 1.0 in y 0.115 * [backup-simplify]: Simplify 1.0 into 1.0 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.115 * [backup-simplify]: Simplify x into x 0.115 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.115 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (+ (* 0.5 (/ 1 y)) (* 1.0 (/ 1 x)))) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.115 * [taylor]: Taking taylor expansion of (* x y) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [backup-simplify]: Simplify y into y 0.116 * [backup-simplify]: Simplify (* 0 y) into 0 0.116 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.116 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.116 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 1.0 (/ 1 x))) in x 0.116 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.116 * [taylor]: Taking taylor expansion of 0.5 in x 0.116 * [backup-simplify]: Simplify 0.5 into 0.5 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [backup-simplify]: Simplify y into y 0.116 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.116 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.116 * [taylor]: Taking taylor expansion of 1.0 in x 0.116 * [backup-simplify]: Simplify 1.0 into 1.0 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (+ (* 0.5 (/ 1 y)) (* 1.0 (/ 1 x)))) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.116 * [taylor]: Taking taylor expansion of (* x y) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [backup-simplify]: Simplify y into y 0.116 * [backup-simplify]: Simplify (* 0 y) into 0 0.117 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.117 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.117 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 1.0 (/ 1 x))) in x 0.117 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.117 * [taylor]: Taking taylor expansion of 0.5 in x 0.117 * [backup-simplify]: Simplify 0.5 into 0.5 0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [backup-simplify]: Simplify y into y 0.117 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.117 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.117 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * [backup-simplify]: Simplify 1.0 into 1.0 0.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.118 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.118 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.118 * [backup-simplify]: Simplify (+ (/ 1 y) (- 1.0)) into (- (/ 1 y) 1.0) 0.118 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of 1.0 in y 0.119 * [backup-simplify]: Simplify 1.0 into 1.0 0.119 * [backup-simplify]: Simplify (+ 1 0) into 1 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.119 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.120 * [backup-simplify]: Simplify (+ (/ 0.5 y) 0) into (* 0.5 (/ 1 y)) 0.120 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 y))) into (- (* 0.5 (/ 1 y))) 0.120 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 y)))) into (- (* 0.5 (/ 1 y))) 0.120 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y))) in y 0.120 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.121 * [taylor]: Taking taylor expansion of 0.5 in y 0.121 * [backup-simplify]: Simplify 0.5 into 0.5 0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.121 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.121 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.123 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.123 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.123 * [backup-simplify]: Simplify (+ (* (- 1.0) (* 1 (/ 1 (/ 1 x)))) (+ (* (- 0.5) (* (/ 1 (/ 1 y)) 1)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))))) into (- (* x y) (+ (* 1.0 x) (* 0.5 y))) 0.124 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (- (/ 1 (- y)) 1.0)) (* (/ 1 (- y)) 0.5)) into (+ (* 0.5 (/ 1 y)) (+ (* 1.0 (/ 1 x)) (/ 1 (* x y)))) 0.124 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (+ (* 1.0 (/ 1 x)) (/ 1 (* x y)))) in (x y) around 0 0.124 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (+ (* 1.0 (/ 1 x)) (/ 1 (* x y)))) in y 0.124 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.124 * [taylor]: Taking taylor expansion of 0.5 in y 0.124 * [backup-simplify]: Simplify 0.5 into 0.5 0.124 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 x)) (/ 1 (* x y))) in y 0.124 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.124 * [taylor]: Taking taylor expansion of 1.0 in y 0.124 * [backup-simplify]: Simplify 1.0 into 1.0 0.124 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.124 * [taylor]: Taking taylor expansion of x in y 0.124 * [backup-simplify]: Simplify x into x 0.124 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.124 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.124 * [taylor]: Taking taylor expansion of (* x y) in y 0.124 * [taylor]: Taking taylor expansion of x in y 0.124 * [backup-simplify]: Simplify x into x 0.124 * [taylor]: Taking taylor expansion of y in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (* x 0) into 0 0.125 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.125 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.125 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (+ (* 1.0 (/ 1 x)) (/ 1 (* x y)))) in x 0.125 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.125 * [taylor]: Taking taylor expansion of 0.5 in x 0.125 * [backup-simplify]: Simplify 0.5 into 0.5 0.125 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [backup-simplify]: Simplify y into y 0.125 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.125 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 x)) (/ 1 (* x y))) in x 0.125 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.125 * [taylor]: Taking taylor expansion of 1.0 in x 0.125 * [backup-simplify]: Simplify 1.0 into 1.0 0.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (/ 1 1) into 1 0.125 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.125 * [taylor]: Taking taylor expansion of (* x y) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [backup-simplify]: Simplify y into y 0.125 * [backup-simplify]: Simplify (* 0 y) into 0 0.126 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.126 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.126 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (+ (* 1.0 (/ 1 x)) (/ 1 (* x y)))) in x 0.126 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.126 * [taylor]: Taking taylor expansion of 0.5 in x 0.126 * [backup-simplify]: Simplify 0.5 into 0.5 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [backup-simplify]: Simplify y into y 0.126 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.126 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 x)) (/ 1 (* x y))) in x 0.126 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [backup-simplify]: Simplify 1.0 into 1.0 0.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (/ 1 1) into 1 0.126 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.126 * [taylor]: Taking taylor expansion of (* x y) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [backup-simplify]: Simplify y into y 0.126 * [backup-simplify]: Simplify (* 0 y) into 0 0.127 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.127 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.127 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.127 * [backup-simplify]: Simplify (+ 1.0 (/ 1 y)) into (+ (/ 1 y) 1.0) 0.127 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 y) 1.0)) into (+ (/ 1 y) 1.0) 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.127 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (/ 1 1) into 1 0.127 * [taylor]: Taking taylor expansion of 1.0 in y 0.127 * [backup-simplify]: Simplify 1.0 into 1.0 0.128 * [backup-simplify]: Simplify (+ 1 0) into 1 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.129 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (+ (/ 0.5 y) 0) into (* 0.5 (/ 1 y)) 0.129 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.129 * [taylor]: Taking taylor expansion of 0.5 in y 0.129 * [backup-simplify]: Simplify 0.5 into 0.5 0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (/ 1 1) into 1 0.130 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.130 * [backup-simplify]: Simplify 0.5 into 0.5 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.131 * [backup-simplify]: Simplify 1.0 into 1.0 0.131 * [backup-simplify]: Simplify (+ (* 1.0 (* 1 (/ 1 (/ 1 (- x))))) (+ (* 0.5 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))))) into (- (* x y) (+ (* 1.0 x) (* 0.5 y))) 0.131 * * * [progress]: simplifying candidates 0.132 * [simplify]: Simplifying: (fma x (- y 1.0) (- (* 0.5 y))) (fma (- 0.5) y (* 0.5 y)) (expm1 (- (* x (- y 1.0)) (* y 0.5))) (log1p (- (* x (- y 1.0)) (* y 0.5))) (- (* y 0.5)) (/ (exp (* x (- y 1.0))) (exp (* y 0.5))) (log (- (* x (- y 1.0)) (* y 0.5))) (exp (- (* x (- y 1.0)) (* y 0.5))) (* (cbrt (- (* x (- y 1.0)) (* y 0.5))) (cbrt (- (* x (- y 1.0)) (* y 0.5)))) (cbrt (- (* x (- y 1.0)) (* y 0.5))) (* (* (- (* x (- y 1.0)) (* y 0.5)) (- (* x (- y 1.0)) (* y 0.5))) (- (* x (- y 1.0)) (* y 0.5))) (sqrt (- (* x (- y 1.0)) (* y 0.5))) (sqrt (- (* x (- y 1.0)) (* y 0.5))) (- (pow (* x (- y 1.0)) 3) (pow (* y 0.5) 3)) (+ (* (* x (- y 1.0)) (* x (- y 1.0))) (+ (* (* y 0.5) (* y 0.5)) (* (* x (- y 1.0)) (* y 0.5)))) (- (* y 0.5)) (- (* (* x (- y 1.0)) (* x (- y 1.0))) (* (* y 0.5) (* y 0.5))) (+ (* x (- y 1.0)) (* y 0.5)) (- (* x (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) (* y 0.5)) (- (* x (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0)))) (* y 0.5)) (- (* x (fma (- 1.0) 1 (* 1.0 1))) (* y 0.5)) (- (* x (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) (* y 0.5)) (- (* x (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0)))) (* y 0.5)) (- (* x (fma (- 1.0) 1 (* 1.0 1))) (* y 0.5)) (- (* x (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) (* y 0.5)) (- (* x (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0)))) (* y 0.5)) (- (* x (fma (- 1.0) 1 (* 1.0 1))) (* y 0.5)) (- (* x (- 1.0)) (* y 0.5)) (- (* x (- 1.0)) (* y 0.5)) (- (* (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))) x) (* y 0.5)) (- (* (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0))) x) (* y 0.5)) (- (* (fma (- 1.0) 1 (* 1.0 1)) x) (* y 0.5)) (- (* (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))) x) (* y 0.5)) (- (* (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0))) x) (* y 0.5)) (- (* (fma (- 1.0) 1 (* 1.0 1)) x) (* y 0.5)) (- (* (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))) x) (* y 0.5)) (- (* (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0))) x) (* y 0.5)) (- (* (fma (- 1.0) 1 (* 1.0 1)) x) (* y 0.5)) (- (* (- 1.0) x) (* y 0.5)) (- (* (- 1.0) x) (* y 0.5)) (- (* y 0.5)) (- (* x y) (+ (* 1.0 x) (* 0.5 y))) (- (* x y) (+ (* 1.0 x) (* 0.5 y))) (- (* x y) (+ (* 1.0 x) (* 0.5 y))) 0.132 * [simplify]: Sending expressions to egg_math: (fma h0 (- h1 h2) (- (* h3 h1))) (fma (- h3) h1 (* h3 h1)) (expm1 (- (* h0 (- h1 h2)) (* h1 h3))) (log1p (- (* h0 (- h1 h2)) (* h1 h3))) (- (* h1 h3)) (/ (exp (* h0 (- h1 h2))) (exp (* h1 h3))) (log (- (* h0 (- h1 h2)) (* h1 h3))) (exp (- (* h0 (- h1 h2)) (* h1 h3))) (* (cbrt (- (* h0 (- h1 h2)) (* h1 h3))) (cbrt (- (* h0 (- h1 h2)) (* h1 h3)))) (cbrt (- (* h0 (- h1 h2)) (* h1 h3))) (* (* (- (* h0 (- h1 h2)) (* h1 h3)) (- (* h0 (- h1 h2)) (* h1 h3))) (- (* h0 (- h1 h2)) (* h1 h3))) (sqrt (- (* h0 (- h1 h2)) (* h1 h3))) (sqrt (- (* h0 (- h1 h2)) (* h1 h3))) (- (pow (* h0 (- h1 h2)) 3) (pow (* h1 h3) 3)) (+ (* (* h0 (- h1 h2)) (* h0 (- h1 h2))) (+ (* (* h1 h3) (* h1 h3)) (* (* h0 (- h1 h2)) (* h1 h3)))) (- (* h1 h3)) (- (* (* h0 (- h1 h2)) (* h0 (- h1 h2))) (* (* h1 h3) (* h1 h3))) (+ (* h0 (- h1 h2)) (* h1 h3)) (- (* h0 (fma (- (cbrt h2)) (* (cbrt h2) (cbrt h2)) (* (cbrt h2) (* (cbrt h2) (cbrt h2))))) (* h1 h3)) (- (* h0 (fma (- (sqrt h2)) (sqrt h2) (* (sqrt h2) (sqrt h2)))) (* h1 h3)) (- (* h0 (fma (- h2) 1 (* h2 1))) (* h1 h3)) (- (* h0 (fma (- (cbrt h2)) (* (cbrt h2) (cbrt h2)) (* (cbrt h2) (* (cbrt h2) (cbrt h2))))) (* h1 h3)) (- (* h0 (fma (- (sqrt h2)) (sqrt h2) (* (sqrt h2) (sqrt h2)))) (* h1 h3)) (- (* h0 (fma (- h2) 1 (* h2 1))) (* h1 h3)) (- (* h0 (fma (- (cbrt h2)) (* (cbrt h2) (cbrt h2)) (* (cbrt h2) (* (cbrt h2) (cbrt h2))))) (* h1 h3)) (- (* h0 (fma (- (sqrt h2)) (sqrt h2) (* (sqrt h2) (sqrt h2)))) (* h1 h3)) (- (* h0 (fma (- h2) 1 (* h2 1))) (* h1 h3)) (- (* h0 (- h2)) (* h1 h3)) (- (* h0 (- h2)) (* h1 h3)) (- (* (fma (- (cbrt h2)) (* (cbrt h2) (cbrt h2)) (* (cbrt h2) (* (cbrt h2) (cbrt h2)))) h0) (* h1 h3)) (- (* (fma (- (sqrt h2)) (sqrt h2) (* (sqrt h2) (sqrt h2))) h0) (* h1 h3)) (- (* (fma (- h2) 1 (* h2 1)) h0) (* h1 h3)) (- (* (fma (- (cbrt h2)) (* (cbrt h2) (cbrt h2)) (* (cbrt h2) (* (cbrt h2) (cbrt h2)))) h0) (* h1 h3)) (- (* (fma (- (sqrt h2)) (sqrt h2) (* (sqrt h2) (sqrt h2))) h0) (* h1 h3)) (- (* (fma (- h2) 1 (* h2 1)) h0) (* h1 h3)) (- (* (fma (- (cbrt h2)) (* (cbrt h2) (cbrt h2)) (* (cbrt h2) (* (cbrt h2) (cbrt h2)))) h0) (* h1 h3)) (- (* (fma (- (sqrt h2)) (sqrt h2) (* (sqrt h2) (sqrt h2))) h0) (* h1 h3)) (- (* (fma (- h2) 1 (* h2 1)) h0) (* h1 h3)) (- (* (- h2) h0) (* h1 h3)) (- (* (- h2) h0) (* h1 h3)) (- (* h1 h3)) (- (* h0 h1) (+ (* h2 h0) (* h3 h1))) (- (* h0 h1) (+ (* h2 h0) (* h3 h1))) (- (* h0 h1) (+ (* h2 h0) (* h3 h1))) 0.136 * * [simplify]: iteration 0 : 174 enodes (cost 315 ) 0.139 * * [simplify]: iteration 1 : 532 enodes (cost 228 ) 0.149 * * [simplify]: iteration 2 : 2124 enodes (cost 210 ) 0.191 * * [simplify]: iteration 3 : 5003 enodes (cost 188 ) 0.192 * * * [progress]: adding candidates to table 0.293 * * [progress]: iteration 2 / 4 0.293 * * * [progress]: picking best candidate 0.295 * * * * [pick]: Picked # 0.295 * * * [progress]: localizing error 0.304 * * * [progress]: generating rewritten candidates 0.304 * * * [progress]: generating series expansions 0.304 * * * [progress]: simplifying candidates 0.304 * [simplify]: Simplifying: 0.304 * [simplify]: Sending expressions to egg_math: 0.306 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.306 * * * [progress]: adding candidates to table 0.307 * [progress]: [Phase 3 of 3] Extracting. 0.309 * [simplify]: Simplifying: (+ (+ (fma x y (- (fma 1.0 x (* 0.5 y)))) 0) 0.918938533204673) 0.309 * [simplify]: Sending expressions to egg_math: (+ (+ (fma h0 h1 (- (fma h2 h0 (* h3 h1)))) 0) h4) 0.309 * * [simplify]: iteration 0 : 15 enodes (cost 5 ) 0.309 * * [simplify]: iteration 1 : 17 enodes (cost 5 ) 0.310 * * [simplify]: iteration 2 : 17 enodes (cost 5 ) 0.802 * [regime-testing]: End program error score: 0.0011251406425803225