82.702 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying: (/ (+ x y) (+ y y)) 0.022 * * [simplify]: iteration 0: 5 enodes 0.023 * * [simplify]: iteration 1: 8 enodes 0.025 * * [simplify]: iteration 2: 11 enodes 0.027 * * [simplify]: iteration 3: 13 enodes 0.029 * * [simplify]: iteration complete: 13 enodes 0.030 * * [simplify]: Extracting #0: cost 1 inf + 0 0.030 * * [simplify]: Extracting #1: cost 7 inf + 0 0.030 * * [simplify]: Extracting #2: cost 5 inf + 5 0.030 * * [simplify]: Extracting #3: cost 4 inf + 6 0.030 * * [simplify]: Extracting #4: cost 0 inf + 26 0.030 * [simplify]: Simplified to: (/ (+ y x) (+ y y)) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.042 * * * * [pick]: Picked # 0.042 * * * [progress]: localizing error 0.060 * * * [progress]: generating rewritten candidates 0.060 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.092 * * * [progress]: generating series expansions 0.092 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.092 * [backup-simplify]: Simplify (/ (+ x y) (+ y y)) into (* 1/2 (/ (+ x y) y)) 0.092 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.092 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.092 * [taylor]: Taking taylor expansion of 1/2 in y 0.092 * [backup-simplify]: Simplify 1/2 into 1/2 0.092 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.092 * [taylor]: Taking taylor expansion of (+ x y) in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [backup-simplify]: Simplify x into x 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (+ x 0) into x 0.093 * [backup-simplify]: Simplify (/ x 1) into x 0.093 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.093 * [taylor]: Taking taylor expansion of 1/2 in x 0.093 * [backup-simplify]: Simplify 1/2 into 1/2 0.093 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 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 y in x 0.093 * [backup-simplify]: Simplify y into y 0.093 * [backup-simplify]: Simplify (+ 0 y) into y 0.093 * [backup-simplify]: Simplify (/ y y) into 1 0.093 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.093 * [taylor]: Taking taylor expansion of 1/2 in x 0.093 * [backup-simplify]: Simplify 1/2 into 1/2 0.093 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 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 y in x 0.093 * [backup-simplify]: Simplify y into y 0.093 * [backup-simplify]: Simplify (+ 0 y) into y 0.093 * [backup-simplify]: Simplify (/ y y) into 1 0.094 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.094 * [taylor]: Taking taylor expansion of 1/2 in y 0.094 * [backup-simplify]: Simplify 1/2 into 1/2 0.095 * [backup-simplify]: Simplify (+ 1 0) into 1 0.095 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.096 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y)) 0.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.096 * [taylor]: Taking taylor expansion of 1/2 in y 0.096 * [backup-simplify]: Simplify 1/2 into 1/2 0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.097 * [backup-simplify]: Simplify 1/2 into 1/2 0.097 * [backup-simplify]: Simplify 1/2 into 1/2 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 0.107 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 y))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 0.107 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.107 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.107 * [taylor]: Taking taylor expansion of 1/2 in y 0.107 * [backup-simplify]: Simplify 1/2 into 1/2 0.107 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [backup-simplify]: Simplify x into x 0.107 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 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 (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.108 * [taylor]: Taking taylor expansion of 1/2 in x 0.108 * [backup-simplify]: Simplify 1/2 into 1/2 0.108 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [backup-simplify]: Simplify y into y 0.108 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [backup-simplify]: Simplify y into y 0.108 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.108 * [taylor]: Taking taylor expansion of 1/2 in x 0.108 * [backup-simplify]: Simplify 1/2 into 1/2 0.108 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [backup-simplify]: Simplify y into y 0.109 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [backup-simplify]: Simplify y into y 0.109 * [backup-simplify]: Simplify (+ 1 0) into 1 0.109 * [backup-simplify]: Simplify (* 1 y) into y 0.109 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.109 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.109 * [taylor]: Taking taylor expansion of 1/2 in y 0.109 * [backup-simplify]: Simplify 1/2 into 1/2 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.111 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.111 * [taylor]: Taking taylor expansion of 1/2 in y 0.111 * [backup-simplify]: Simplify 1/2 into 1/2 0.111 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) 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 1/2 into 1/2 0.113 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.113 * [backup-simplify]: Simplify 1/2 into 1/2 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.120 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 0.120 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.120 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.120 * [taylor]: Taking taylor expansion of 1/2 in y 0.120 * [backup-simplify]: Simplify 1/2 into 1/2 0.120 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.120 * [taylor]: Taking taylor expansion of x in y 0.120 * [backup-simplify]: Simplify x into x 0.120 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.121 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.121 * [taylor]: Taking taylor expansion of 1/2 in x 0.121 * [backup-simplify]: Simplify 1/2 into 1/2 0.121 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.121 * [taylor]: Taking taylor expansion of y in x 0.121 * [backup-simplify]: Simplify y into y 0.121 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.121 * [taylor]: Taking taylor expansion of y in x 0.121 * [backup-simplify]: Simplify y into y 0.121 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.121 * [taylor]: Taking taylor expansion of 1/2 in x 0.121 * [backup-simplify]: Simplify 1/2 into 1/2 0.121 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [backup-simplify]: Simplify y into y 0.122 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [backup-simplify]: Simplify y into y 0.122 * [backup-simplify]: Simplify (+ 1 0) into 1 0.122 * [backup-simplify]: Simplify (* 1 y) into y 0.122 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.122 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.122 * [taylor]: Taking taylor expansion of 1/2 in y 0.122 * [backup-simplify]: Simplify 1/2 into 1/2 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 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.125 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.125 * [taylor]: Taking taylor expansion of 1/2 in y 0.125 * [backup-simplify]: Simplify 1/2 into 1/2 0.125 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1/2 into 1/2 0.129 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.129 * [backup-simplify]: Simplify 1/2 into 1/2 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) 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 0 into 0 0.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.134 * [backup-simplify]: Simplify 0 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 (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.137 * * * [progress]: simplifying candidates 0.139 * [simplify]: Simplifying: (- (log (+ x y)) (log (+ y y))) (log (/ (+ x y) (+ y y))) (exp (/ (+ x y) (+ y y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ y y) (+ y y)) (+ y y))) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (- (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt y)) (/ (cbrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) (+ 1 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (+ y y)) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (/ (+ x y) 1) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (/ (+ x y) 1) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) (+ 1 1)) (/ (+ x y) (+ 1 1)) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow y 3))) (/ (+ x y) (- (* y y) (* y y))) (* (+ y y) (+ (* x x) (- (* y y) (* x y)))) (* (+ y y) (- x y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 0.140 * * [simplify]: iteration 0: 112 enodes 0.165 * * [simplify]: iteration 1: 234 enodes 0.232 * * [simplify]: iteration 2: 767 enodes 0.955 * * [simplify]: iteration 3: 4902 enodes 2.344 * * [simplify]: iteration complete: 5000 enodes 2.344 * * [simplify]: Extracting #0: cost 67 inf + 0 2.346 * * [simplify]: Extracting #1: cost 623 inf + 2 2.351 * * [simplify]: Extracting #2: cost 1222 inf + 935 2.357 * * [simplify]: Extracting #3: cost 722 inf + 8869 2.363 * * [simplify]: Extracting #4: cost 36 inf + 14209 2.369 * * [simplify]: Extracting #5: cost 6 inf + 14397 2.379 * * [simplify]: Extracting #6: cost 0 inf + 14441 2.391 * [simplify]: Simplified to: (log (/ (/ (+ x y) y) 2)) (log (/ (/ (+ x y) y) 2)) (sqrt (exp (/ (+ x y) y))) (pow (/ (+ x y) (+ y y)) 3) (* (cbrt (/ (/ (+ x y) y) 2)) (cbrt (/ (/ (+ x y) y) 2))) (cbrt (/ (/ (+ x y) y) 2)) (pow (/ (+ x y) (+ y y)) 3) (sqrt (/ (/ (+ x y) y) 2)) (sqrt (/ (/ (+ x y) y) 2)) (- (+ y x)) (* -2 y) (/ (cbrt (+ x y)) (/ (cbrt (+ y y)) (/ (cbrt (+ x y)) (cbrt (+ y y))))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) 2) (cbrt y)) (/ (cbrt (+ x y)) (/ (sqrt y) (cbrt (+ x y)))) (/ (/ (cbrt (+ x y)) 2) (sqrt y)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt y)) (/ (cbrt (+ x y)) (* (* 2 (cbrt y)) (cbrt y))) (/ (cbrt (+ x y)) (/ (sqrt y) (cbrt (+ x y)))) (/ (/ (cbrt (+ x y)) 2) (sqrt y)) (/ (cbrt (+ x y)) (/ y (cbrt (+ x y)))) (/ (cbrt (+ x y)) 2) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (/ (sqrt (+ x y)) (cbrt (+ y y))) (cbrt (+ y y))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (sqrt (+ x y)) (/ (/ (sqrt (+ x y)) y) 2) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (* (cbrt y) 2)) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (* (sqrt y) 2)) (sqrt (+ x y)) (/ (/ (sqrt (+ x y)) y) 2) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (* (* 2 (cbrt y)) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (* (sqrt y) 2)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (/ 1 (cbrt (+ y y))) (cbrt (+ y y))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (/ (+ x y) y) 2) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (+ x y) (* (cbrt y) 2)) (/ 1 (sqrt y)) (/ (/ (+ x y) 2) (sqrt y)) 1 (/ (/ (+ x y) y) 2) (/ 1 (cbrt y)) (/ (/ (/ (+ x y) (cbrt y)) 2) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) 2) (sqrt y)) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ (/ 1 (cbrt (+ y y))) (cbrt (+ y y))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (/ (+ x y) y) 2) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (+ x y) (* (cbrt y) 2)) (/ 1 (sqrt y)) (/ (/ (+ x y) 2) (sqrt y)) 1 (/ (/ (+ x y) y) 2) (/ 1 (cbrt y)) (/ (/ (/ (+ x y) (cbrt y)) 2) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) 2) (sqrt y)) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1/2 y) (/ 2 (/ (+ x y) y)) (/ (/ (+ x y) (cbrt (+ y y))) (cbrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (+ x y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (+ x y) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ 2 (/ (+ x y) y)) (/ 2 (/ (+ x y) y)) (/ (/ (+ x y) 2) (pow y 3)) (/ (+ x y) 0) (* 2 (* y (+ (* y y) (* x (- x y))))) (* (* 2 y) (- x y)) (* (+ 1 (/ x y)) 1/2) (* (+ 1 (/ x y)) 1/2) (* (+ 1 (/ x y)) 1/2) 2.392 * * * [progress]: adding candidates to table 2.712 * * [progress]: iteration 2 / 4 2.712 * * * [progress]: picking best candidate 2.723 * * * * [pick]: Picked # 2.723 * * * [progress]: localizing error 2.731 * * * [progress]: generating rewritten candidates 2.731 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 2.740 * * * [progress]: generating series expansions 2.740 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 2.740 * [backup-simplify]: Simplify (+ 1 (/ x y)) into (+ (/ x y) 1) 2.740 * [approximate]: Taking taylor expansion of (+ (/ x y) 1) in (x y) around 0 2.740 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 2.740 * [taylor]: Taking taylor expansion of (/ x y) in y 2.740 * [taylor]: Taking taylor expansion of x in y 2.740 * [backup-simplify]: Simplify x into x 2.740 * [taylor]: Taking taylor expansion of y in y 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify 1 into 1 2.740 * [backup-simplify]: Simplify (/ x 1) into x 2.740 * [taylor]: Taking taylor expansion of 1 in y 2.740 * [backup-simplify]: Simplify 1 into 1 2.740 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 2.740 * [taylor]: Taking taylor expansion of (/ x y) in x 2.740 * [taylor]: Taking taylor expansion of x in x 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify 1 into 1 2.740 * [taylor]: Taking taylor expansion of y in x 2.740 * [backup-simplify]: Simplify y into y 2.740 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.740 * [taylor]: Taking taylor expansion of 1 in x 2.740 * [backup-simplify]: Simplify 1 into 1 2.740 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 2.740 * [taylor]: Taking taylor expansion of (/ x y) in x 2.740 * [taylor]: Taking taylor expansion of x in x 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify 1 into 1 2.740 * [taylor]: Taking taylor expansion of y in x 2.740 * [backup-simplify]: Simplify y into y 2.740 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.740 * [taylor]: Taking taylor expansion of 1 in x 2.740 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify (+ 0 1) into 1 2.741 * [taylor]: Taking taylor expansion of 1 in y 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.741 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.741 * [taylor]: Taking taylor expansion of y in y 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify (/ 1 1) into 1 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify 1 into 1 2.742 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.742 * [backup-simplify]: Simplify (+ 0 0) into 0 2.742 * [taylor]: Taking taylor expansion of 0 in y 2.742 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.742 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.743 * [backup-simplify]: Simplify (+ 0 0) into 0 2.743 * [taylor]: Taking taylor expansion of 0 in y 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.744 * [backup-simplify]: Simplify (+ 0 0) into 0 2.744 * [taylor]: Taking taylor expansion of 0 in y 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 y) x))) into (+ (/ x y) 1) 2.744 * [backup-simplify]: Simplify (+ 1 (/ (/ 1 x) (/ 1 y))) into (+ (/ y x) 1) 2.744 * [approximate]: Taking taylor expansion of (+ (/ y x) 1) in (x y) around 0 2.744 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 2.744 * [taylor]: Taking taylor expansion of (/ y x) in y 2.744 * [taylor]: Taking taylor expansion of y in y 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [taylor]: Taking taylor expansion of x in y 2.744 * [backup-simplify]: Simplify x into x 2.744 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.744 * [taylor]: Taking taylor expansion of 1 in y 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 2.745 * [taylor]: Taking taylor expansion of (/ y x) in x 2.745 * [taylor]: Taking taylor expansion of y in x 2.745 * [backup-simplify]: Simplify y into y 2.745 * [taylor]: Taking taylor expansion of x in x 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 1 into 1 2.745 * [backup-simplify]: Simplify (/ y 1) into y 2.745 * [taylor]: Taking taylor expansion of 1 in x 2.745 * [backup-simplify]: Simplify 1 into 1 2.745 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 2.745 * [taylor]: Taking taylor expansion of (/ y x) in x 2.745 * [taylor]: Taking taylor expansion of y in x 2.745 * [backup-simplify]: Simplify y into y 2.745 * [taylor]: Taking taylor expansion of x in x 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 1 into 1 2.745 * [backup-simplify]: Simplify (/ y 1) into y 2.745 * [taylor]: Taking taylor expansion of 1 in x 2.745 * [backup-simplify]: Simplify 1 into 1 2.745 * [backup-simplify]: Simplify (+ y 0) into y 2.745 * [taylor]: Taking taylor expansion of y in y 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 1 into 1 2.745 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 2.746 * [backup-simplify]: Simplify (+ 0 1) into 1 2.746 * [taylor]: Taking taylor expansion of 1 in y 2.746 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify 1 into 1 2.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.747 * [backup-simplify]: Simplify (+ 0 0) into 0 2.747 * [taylor]: Taking taylor expansion of 0 in y 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.749 * [backup-simplify]: Simplify (+ 0 0) into 0 2.749 * [taylor]: Taking taylor expansion of 0 in y 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 y) (/ 1 (/ 1 x)))) 1) into (+ (/ x y) 1) 2.749 * [backup-simplify]: Simplify (+ 1 (/ (/ 1 (- x)) (/ 1 (- y)))) into (+ (/ y x) 1) 2.749 * [approximate]: Taking taylor expansion of (+ (/ y x) 1) in (x y) around 0 2.749 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 2.749 * [taylor]: Taking taylor expansion of (/ y x) in y 2.749 * [taylor]: Taking taylor expansion of y in y 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify 1 into 1 2.749 * [taylor]: Taking taylor expansion of x in y 2.749 * [backup-simplify]: Simplify x into x 2.749 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.749 * [taylor]: Taking taylor expansion of 1 in y 2.749 * [backup-simplify]: Simplify 1 into 1 2.749 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 2.749 * [taylor]: Taking taylor expansion of (/ y x) in x 2.749 * [taylor]: Taking taylor expansion of y in x 2.749 * [backup-simplify]: Simplify y into y 2.749 * [taylor]: Taking taylor expansion of x in x 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify 1 into 1 2.749 * [backup-simplify]: Simplify (/ y 1) into y 2.749 * [taylor]: Taking taylor expansion of 1 in x 2.749 * [backup-simplify]: Simplify 1 into 1 2.749 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 2.749 * [taylor]: Taking taylor expansion of (/ y x) in x 2.750 * [taylor]: Taking taylor expansion of y in x 2.750 * [backup-simplify]: Simplify y into y 2.750 * [taylor]: Taking taylor expansion of x in x 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [backup-simplify]: Simplify (/ y 1) into y 2.750 * [taylor]: Taking taylor expansion of 1 in x 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [backup-simplify]: Simplify (+ y 0) into y 2.750 * [taylor]: Taking taylor expansion of y in y 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 2.751 * [backup-simplify]: Simplify (+ 0 1) into 1 2.751 * [taylor]: Taking taylor expansion of 1 in y 2.751 * [backup-simplify]: Simplify 1 into 1 2.751 * [backup-simplify]: Simplify 1 into 1 2.751 * [backup-simplify]: Simplify 1 into 1 2.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.752 * [backup-simplify]: Simplify (+ 0 0) into 0 2.752 * [taylor]: Taking taylor expansion of 0 in y 2.752 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.753 * [backup-simplify]: Simplify (+ 0 0) into 0 2.753 * [taylor]: Taking taylor expansion of 0 in y 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1) into (+ (/ x y) 1) 2.754 * * * [progress]: simplifying candidates 2.754 * [simplify]: Simplifying: (* (exp 1) (exp (/ x y))) (log (+ 1 (/ x y))) (exp (+ 1 (/ x y))) (* (cbrt (+ 1 (/ x y))) (cbrt (+ 1 (/ x y)))) (cbrt (+ 1 (/ x y))) (* (* (+ 1 (/ x y)) (+ 1 (/ x y))) (+ 1 (/ x y))) (sqrt (+ 1 (/ x y))) (sqrt (+ 1 (/ x y))) (+ (pow 1 3) (pow (/ x y) 3)) (+ (* 1 1) (- (* (/ x y) (/ x y)) (* 1 (/ x y)))) (- (* 1 1) (* (/ x y) (/ x y))) (- 1 (/ x y)) (+ 1 (/ x y)) (+ (/ x y) 1) (+ (/ x y) 1) (+ (/ x y) 1) 2.754 * * [simplify]: iteration 0: 27 enodes 2.765 * * [simplify]: iteration 1: 91 enodes 2.823 * * [simplify]: iteration 2: 440 enodes 3.024 * * [simplify]: iteration complete: 5000 enodes 3.024 * * [simplify]: Extracting #0: cost 11 inf + 0 3.025 * * [simplify]: Extracting #1: cost 517 inf + 0 3.029 * * [simplify]: Extracting #2: cost 2039 inf + 278 3.036 * * [simplify]: Extracting #3: cost 2199 inf + 682 3.043 * * [simplify]: Extracting #4: cost 1429 inf + 5453 3.063 * * [simplify]: Extracting #5: cost 151 inf + 17871 3.076 * * [simplify]: Extracting #6: cost 0 inf + 19833 3.085 * [simplify]: Simplified to: (* E (exp (/ x y))) (log (+ 1 (/ x y))) (* E (exp (/ x y))) (* (cbrt (+ 1 (/ x y))) (cbrt (+ 1 (/ x y)))) (cbrt (+ 1 (/ x y))) (pow (+ 1 (/ x y)) 3) (sqrt (+ 1 (/ x y))) (sqrt (+ 1 (/ x y))) (+ (pow (/ x y) 3) 1) (+ (* (/ x y) (- (/ x y) 1)) 1) (- 1 (/ (* (/ x y) x) y)) (- 1 (/ x y)) (+ 1 (/ x y)) (+ 1 (/ x y)) (+ 1 (/ x y)) (+ 1 (/ x y)) 3.085 * * * [progress]: adding candidates to table 3.140 * * [progress]: iteration 3 / 4 3.140 * * * [progress]: picking best candidate 3.146 * * * * [pick]: Picked # 3.146 * * * [progress]: localizing error 3.165 * * * [progress]: generating rewritten candidates 3.165 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.231 * * * [progress]: generating series expansions 3.231 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.231 * [backup-simplify]: Simplify (* (/ 1 y) (/ (+ x y) 2)) into (* 1/2 (/ (+ x y) y)) 3.231 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (y x) around 0 3.231 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 3.231 * [taylor]: Taking taylor expansion of 1/2 in x 3.232 * [backup-simplify]: Simplify 1/2 into 1/2 3.232 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 3.232 * [taylor]: Taking taylor expansion of (+ x y) in x 3.232 * [taylor]: Taking taylor expansion of x in x 3.232 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify 1 into 1 3.232 * [taylor]: Taking taylor expansion of y in x 3.232 * [backup-simplify]: Simplify y into y 3.232 * [taylor]: Taking taylor expansion of y in x 3.232 * [backup-simplify]: Simplify y into y 3.232 * [backup-simplify]: Simplify (+ 0 y) into y 3.232 * [backup-simplify]: Simplify (/ y y) into 1 3.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 3.232 * [taylor]: Taking taylor expansion of 1/2 in y 3.232 * [backup-simplify]: Simplify 1/2 into 1/2 3.232 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 3.232 * [taylor]: Taking taylor expansion of (+ x y) in y 3.232 * [taylor]: Taking taylor expansion of x in y 3.232 * [backup-simplify]: Simplify x into x 3.232 * [taylor]: Taking taylor expansion of y in y 3.232 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify 1 into 1 3.232 * [taylor]: Taking taylor expansion of y in y 3.232 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify 1 into 1 3.232 * [backup-simplify]: Simplify (+ x 0) into x 3.232 * [backup-simplify]: Simplify (/ x 1) into x 3.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 3.232 * [taylor]: Taking taylor expansion of 1/2 in y 3.232 * [backup-simplify]: Simplify 1/2 into 1/2 3.232 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 3.233 * [taylor]: Taking taylor expansion of (+ x y) in y 3.233 * [taylor]: Taking taylor expansion of x in y 3.233 * [backup-simplify]: Simplify x into x 3.233 * [taylor]: Taking taylor expansion of y in y 3.233 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify 1 into 1 3.233 * [taylor]: Taking taylor expansion of y in y 3.233 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify 1 into 1 3.233 * [backup-simplify]: Simplify (+ x 0) into x 3.233 * [backup-simplify]: Simplify (/ x 1) into x 3.233 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 3.233 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.233 * [taylor]: Taking taylor expansion of 1/2 in x 3.233 * [backup-simplify]: Simplify 1/2 into 1/2 3.233 * [taylor]: Taking taylor expansion of x in x 3.233 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify 1 into 1 3.234 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.234 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify (+ 0 1) into 1 3.236 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* x (/ 0 1)))) into 1 3.236 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 x)) into 1/2 3.236 * [taylor]: Taking taylor expansion of 1/2 in x 3.236 * [backup-simplify]: Simplify 1/2 into 1/2 3.236 * [backup-simplify]: Simplify 1/2 into 1/2 3.237 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.237 * [backup-simplify]: Simplify 1/2 into 1/2 3.238 * [backup-simplify]: Simplify (+ 0 0) into 0 3.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 x))) into 0 3.240 * [taylor]: Taking taylor expansion of 0 in x 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 0 into 0 3.241 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.241 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify (+ 0 0) into 0 3.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 x)))) into 0 3.245 * [taylor]: Taking taylor expansion of 0 in x 3.245 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify (+ (* 1/2 (* x (/ 1 y))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 3.246 * [backup-simplify]: Simplify (* (/ 1 (/ 1 y)) (/ (+ (/ 1 x) (/ 1 y)) 2)) into (* 1/2 (* y (+ (/ 1 x) (/ 1 y)))) 3.246 * [approximate]: Taking taylor expansion of (* 1/2 (* y (+ (/ 1 x) (/ 1 y)))) in (y x) around 0 3.246 * [taylor]: Taking taylor expansion of (* 1/2 (* y (+ (/ 1 x) (/ 1 y)))) in x 3.246 * [taylor]: Taking taylor expansion of 1/2 in x 3.246 * [backup-simplify]: Simplify 1/2 into 1/2 3.246 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 x) (/ 1 y))) in x 3.246 * [taylor]: Taking taylor expansion of y in x 3.246 * [backup-simplify]: Simplify y into y 3.246 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.246 * [taylor]: Taking taylor expansion of x in x 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify 1 into 1 3.246 * [backup-simplify]: Simplify (/ 1 1) into 1 3.246 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.246 * [taylor]: Taking taylor expansion of y in x 3.246 * [backup-simplify]: Simplify y into y 3.246 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.247 * [taylor]: Taking taylor expansion of (* 1/2 (* y (+ (/ 1 x) (/ 1 y)))) in y 3.247 * [taylor]: Taking taylor expansion of 1/2 in y 3.247 * [backup-simplify]: Simplify 1/2 into 1/2 3.247 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 x) (/ 1 y))) in y 3.247 * [taylor]: Taking taylor expansion of y in y 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify 1 into 1 3.247 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 3.247 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.247 * [taylor]: Taking taylor expansion of x in y 3.247 * [backup-simplify]: Simplify x into x 3.247 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.247 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.247 * [taylor]: Taking taylor expansion of y in y 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify 1 into 1 3.247 * [backup-simplify]: Simplify (/ 1 1) into 1 3.247 * [taylor]: Taking taylor expansion of (* 1/2 (* y (+ (/ 1 x) (/ 1 y)))) in y 3.247 * [taylor]: Taking taylor expansion of 1/2 in y 3.247 * [backup-simplify]: Simplify 1/2 into 1/2 3.248 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 x) (/ 1 y))) in y 3.248 * [taylor]: Taking taylor expansion of y in y 3.248 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify 1 into 1 3.248 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 3.248 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.248 * [taylor]: Taking taylor expansion of x in y 3.248 * [backup-simplify]: Simplify x into x 3.248 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.248 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.248 * [taylor]: Taking taylor expansion of y in y 3.248 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify 1 into 1 3.248 * [backup-simplify]: Simplify (/ 1 1) into 1 3.249 * [backup-simplify]: Simplify (+ 0 1) into 1 3.249 * [backup-simplify]: Simplify (* 0 1) into 0 3.250 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.250 * [taylor]: Taking taylor expansion of 0 in x 3.250 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.251 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 3.251 * [backup-simplify]: Simplify (+ (* 0 (/ 1 x)) (* 1 1)) into 1 3.252 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.252 * [taylor]: Taking taylor expansion of 1/2 in x 3.252 * [backup-simplify]: Simplify 1/2 into 1/2 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.253 * [backup-simplify]: Simplify (+ 0 0) into 0 3.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 x)) (* 0 1))) into (/ 1 x) 3.255 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 x)) (+ (* 0 1) (* 0 0))) into (* 1/2 (/ 1 x)) 3.255 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 3.255 * [taylor]: Taking taylor expansion of 1/2 in x 3.255 * [backup-simplify]: Simplify 1/2 into 1/2 3.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.255 * [taylor]: Taking taylor expansion of x in x 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 1 into 1 3.260 * [backup-simplify]: Simplify (/ 1 1) into 1 3.261 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.261 * [backup-simplify]: Simplify 1/2 into 1/2 3.261 * [backup-simplify]: Simplify 1/2 into 1/2 3.261 * [backup-simplify]: Simplify 0 into 0 3.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.263 * [backup-simplify]: Simplify (+ 0 0) into 0 3.264 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 x)) (* 0 1)))) into 0 3.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 x)) (+ (* 0 1) (* 0 0)))) into 0 3.265 * [taylor]: Taking taylor expansion of 0 in x 3.265 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.267 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.269 * [backup-simplify]: Simplify (+ 0 0) into 0 3.270 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (* 0 1))))) into 0 3.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (+ (* 0 1) (* 0 0))))) into 0 3.272 * [taylor]: Taking taylor expansion of 0 in x 3.272 * [backup-simplify]: Simplify 0 into 0 3.272 * [backup-simplify]: Simplify 0 into 0 3.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.274 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 (/ 1 x)) (/ 1 y)))) into (+ (* 1/2 (/ x y)) 1/2) 3.274 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- y))) (/ (+ (/ 1 (- x)) (/ 1 (- y))) 2)) into (* 1/2 (* y (+ (/ 1 x) (/ 1 y)))) 3.274 * [approximate]: Taking taylor expansion of (* 1/2 (* y (+ (/ 1 x) (/ 1 y)))) in (y x) around 0 3.274 * [taylor]: Taking taylor expansion of (* 1/2 (* y (+ (/ 1 x) (/ 1 y)))) in x 3.274 * [taylor]: Taking taylor expansion of 1/2 in x 3.275 * [backup-simplify]: Simplify 1/2 into 1/2 3.275 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 x) (/ 1 y))) in x 3.275 * [taylor]: Taking taylor expansion of y in x 3.275 * [backup-simplify]: Simplify y into y 3.275 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.275 * [taylor]: Taking taylor expansion of x in x 3.275 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify 1 into 1 3.275 * [backup-simplify]: Simplify (/ 1 1) into 1 3.275 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.275 * [taylor]: Taking taylor expansion of y in x 3.275 * [backup-simplify]: Simplify y into y 3.275 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.275 * [taylor]: Taking taylor expansion of (* 1/2 (* y (+ (/ 1 x) (/ 1 y)))) in y 3.275 * [taylor]: Taking taylor expansion of 1/2 in y 3.275 * [backup-simplify]: Simplify 1/2 into 1/2 3.275 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 x) (/ 1 y))) in y 3.275 * [taylor]: Taking taylor expansion of y in y 3.275 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify 1 into 1 3.275 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 3.276 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.276 * [taylor]: Taking taylor expansion of x in y 3.276 * [backup-simplify]: Simplify x into x 3.276 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.276 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.276 * [taylor]: Taking taylor expansion of y in y 3.276 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify 1 into 1 3.276 * [backup-simplify]: Simplify (/ 1 1) into 1 3.276 * [taylor]: Taking taylor expansion of (* 1/2 (* y (+ (/ 1 x) (/ 1 y)))) in y 3.276 * [taylor]: Taking taylor expansion of 1/2 in y 3.276 * [backup-simplify]: Simplify 1/2 into 1/2 3.276 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 x) (/ 1 y))) in y 3.276 * [taylor]: Taking taylor expansion of y in y 3.276 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify 1 into 1 3.276 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 3.276 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.276 * [taylor]: Taking taylor expansion of x in y 3.276 * [backup-simplify]: Simplify x into x 3.276 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.276 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.276 * [taylor]: Taking taylor expansion of y in y 3.277 * [backup-simplify]: Simplify 0 into 0 3.277 * [backup-simplify]: Simplify 1 into 1 3.277 * [backup-simplify]: Simplify (/ 1 1) into 1 3.277 * [backup-simplify]: Simplify (+ 0 1) into 1 3.278 * [backup-simplify]: Simplify (* 0 1) into 0 3.278 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.278 * [taylor]: Taking taylor expansion of 0 in x 3.278 * [backup-simplify]: Simplify 0 into 0 3.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.279 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 3.280 * [backup-simplify]: Simplify (+ (* 0 (/ 1 x)) (* 1 1)) into 1 3.280 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.280 * [taylor]: Taking taylor expansion of 1/2 in x 3.280 * [backup-simplify]: Simplify 1/2 into 1/2 3.280 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.282 * [backup-simplify]: Simplify (+ 0 0) into 0 3.283 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 x)) (* 0 1))) into (/ 1 x) 3.284 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 x)) (+ (* 0 1) (* 0 0))) into (* 1/2 (/ 1 x)) 3.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 3.284 * [taylor]: Taking taylor expansion of 1/2 in x 3.284 * [backup-simplify]: Simplify 1/2 into 1/2 3.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.284 * [taylor]: Taking taylor expansion of x in x 3.284 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify 1 into 1 3.284 * [backup-simplify]: Simplify (/ 1 1) into 1 3.285 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.285 * [backup-simplify]: Simplify 1/2 into 1/2 3.285 * [backup-simplify]: Simplify 1/2 into 1/2 3.285 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.286 * [backup-simplify]: Simplify (+ 0 0) into 0 3.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 x)) (* 0 1)))) into 0 3.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 x)) (+ (* 0 1) (* 0 0)))) into 0 3.287 * [taylor]: Taking taylor expansion of 0 in x 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.288 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.289 * [backup-simplify]: Simplify (+ 0 0) into 0 3.290 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (* 0 1))))) into 0 3.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (+ (* 0 1) (* 0 0))))) into 0 3.291 * [taylor]: Taking taylor expansion of 0 in x 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 (/ 1 (- x))) (/ 1 (- y))))) into (+ (* 1/2 (/ x y)) 1/2) 3.292 * * * [progress]: simplifying candidates 3.293 * [simplify]: Simplifying: (* (/ 1 y) (/ (+ x y) 2)) (+ (- (log y)) (- (log (+ x y)) (log 2))) (+ (- (log y)) (log (/ (+ x y) 2))) (+ (- 0 (log y)) (- (log (+ x y)) (log 2))) (+ (- 0 (log y)) (log (/ (+ x y) 2))) (+ (- (log 1) (log y)) (- (log (+ x y)) (log 2))) (+ (- (log 1) (log y)) (log (/ (+ x y) 2))) (+ (log (/ 1 y)) (- (log (+ x y)) (log 2))) (+ (log (/ 1 y)) (log (/ (+ x y) 2))) (log (* (/ 1 y) (/ (+ x y) 2))) (exp (* (/ 1 y) (/ (+ x y) 2))) (* (/ (* (* 1 1) 1) (* (* y y) y)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* 2 2) 2))) (* (/ (* (* 1 1) 1) (* (* y y) y)) (* (* (/ (+ x y) 2) (/ (+ x y) 2)) (/ (+ x y) 2))) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* 2 2) 2))) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* (/ (+ x y) 2) (/ (+ x y) 2)) (/ (+ x y) 2))) (* (cbrt (* (/ 1 y) (/ (+ x y) 2))) (cbrt (* (/ 1 y) (/ (+ x y) 2)))) (cbrt (* (/ 1 y) (/ (+ x y) 2))) (* (* (* (/ 1 y) (/ (+ x y) 2)) (* (/ 1 y) (/ (+ x y) 2))) (* (/ 1 y) (/ (+ x y) 2))) (sqrt (* (/ 1 y) (/ (+ x y) 2))) (sqrt (* (/ 1 y) (/ (+ x y) 2))) (* 1 (+ x y)) (* y 2) (* (sqrt (/ 1 y)) (sqrt (/ (+ x y) 2))) (* (sqrt (/ 1 y)) (sqrt (/ (+ x y) 2))) (* (sqrt (/ 1 y)) (/ (sqrt (+ x y)) (sqrt 2))) (* (sqrt (/ 1 y)) (/ (sqrt (+ x y)) (sqrt 2))) (* (/ (sqrt 1) (sqrt y)) (sqrt (/ (+ x y) 2))) (* (/ (sqrt 1) (sqrt y)) (sqrt (/ (+ x y) 2))) (* (/ (sqrt 1) (sqrt y)) (/ (sqrt (+ x y)) (sqrt 2))) (* (/ (sqrt 1) (sqrt y)) (/ (sqrt (+ x y)) (sqrt 2))) (* (/ 1 (sqrt y)) (sqrt (/ (+ x y) 2))) (* (/ 1 (sqrt y)) (sqrt (/ (+ x y) 2))) (* (/ 1 (sqrt y)) (/ (sqrt (+ x y)) (sqrt 2))) (* (/ 1 (sqrt y)) (/ (sqrt (+ x y)) (sqrt 2))) (* (/ 1 y) (* (cbrt (/ (+ x y) 2)) (cbrt (/ (+ x y) 2)))) (* (/ 1 y) (sqrt (/ (+ x y) 2))) (* (/ 1 y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt 2) (cbrt 2)))) (* (/ 1 y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt 2))) (* (/ 1 y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (* (/ 1 y) (/ (sqrt (+ x y)) (* (cbrt 2) (cbrt 2)))) (* (/ 1 y) (/ (sqrt (+ x y)) (sqrt 2))) (* (/ 1 y) (/ (sqrt (+ x y)) 1)) (* (/ 1 y) (/ 1 (* (cbrt 2) (cbrt 2)))) (* (/ 1 y) (/ 1 (sqrt 2))) (* (/ 1 y) (/ 1 1)) (* (/ 1 y) (/ 1 (* (cbrt 2) (cbrt 2)))) (* (/ 1 y) (/ 1 (sqrt 2))) (* (/ 1 y) (/ 1 1)) (* (/ 1 y) 1) (* (/ 1 y) (+ x y)) (* (cbrt (/ 1 y)) (/ (+ x y) 2)) (* (sqrt (/ 1 y)) (/ (+ x y) 2)) (* (/ (cbrt 1) (cbrt y)) (/ (+ x y) 2)) (* (/ (cbrt 1) (sqrt y)) (/ (+ x y) 2)) (* (/ (cbrt 1) y) (/ (+ x y) 2)) (* (/ (sqrt 1) (cbrt y)) (/ (+ x y) 2)) (* (/ (sqrt 1) (sqrt y)) (/ (+ x y) 2)) (* (/ (sqrt 1) y) (/ (+ x y) 2)) (* (/ 1 (cbrt y)) (/ (+ x y) 2)) (* (/ 1 (sqrt y)) (/ (+ x y) 2)) (* (/ 1 y) (/ (+ x y) 2)) (* (/ 1 y) (/ (+ x y) 2)) (* (/ 1 y) (/ (+ x y) 2)) (* (/ 1 y) (+ x y)) (* 1 (/ (+ x y) 2)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 3.294 * * [simplify]: iteration 0: 120 enodes 3.328 * * [simplify]: iteration 1: 393 enodes 3.720 * * [simplify]: iteration 2: 2982 enodes 5.242 * * [simplify]: iteration complete: 5000 enodes 5.243 * * [simplify]: Extracting #0: cost 34 inf + 0 5.245 * * [simplify]: Extracting #1: cost 508 inf + 0 5.251 * * [simplify]: Extracting #2: cost 1234 inf + 201 5.261 * * [simplify]: Extracting #3: cost 716 inf + 4226 5.271 * * [simplify]: Extracting #4: cost 106 inf + 10895 5.279 * * [simplify]: Extracting #5: cost 0 inf + 11811 5.286 * [simplify]: Simplified to: (/ (/ (+ x y) 2) y) (log (/ (/ (+ x y) 2) y)) (log (/ (/ (+ x y) 2) y)) (log (/ (/ (+ x y) 2) y)) (log (/ (/ (+ x y) 2) y)) (log (/ (/ (+ x y) 2) y)) (log (/ (/ (+ x y) 2) y)) (log (/ (/ (+ x y) 2) y)) (log (/ (/ (+ x y) 2) y)) (log (/ (/ (+ x y) 2) y)) (sqrt (exp (/ (+ x y) y))) (/ (/ (pow (+ x y) 3) 8) (pow y 3)) (/ (pow (/ (+ x y) 2) 3) (pow y 3)) (/ (* (pow (+ x y) 3) (pow (/ 1 y) 3)) 8) (pow (/ (/ (+ x y) 2) y) 3) (* (cbrt (/ (/ (+ x y) 2) y)) (cbrt (/ (/ (+ x y) 2) y))) (cbrt (/ (/ (+ x y) 2) y)) (pow (/ (/ (+ x y) 2) y) 3) (sqrt (/ (/ (+ x y) 2) y)) (sqrt (/ (/ (+ x y) 2) y)) (+ x y) (* y 2) (* (sqrt (/ 1 y)) (sqrt (/ (+ x y) 2))) (* (sqrt (/ 1 y)) (sqrt (/ (+ x y) 2))) (* (/ (sqrt (+ x y)) (sqrt 2)) (sqrt (/ 1 y))) (* (/ (sqrt (+ x y)) (sqrt 2)) (sqrt (/ 1 y))) (/ (sqrt (/ (+ x y) 2)) (sqrt y)) (/ (sqrt (/ (+ x y) 2)) (sqrt y)) (/ (/ (sqrt (+ x y)) (sqrt 2)) (sqrt y)) (/ (/ (sqrt (+ x y)) (sqrt 2)) (sqrt y)) (/ (sqrt (/ (+ x y) 2)) (sqrt y)) (/ (sqrt (/ (+ x y) 2)) (sqrt y)) (/ (/ (sqrt (+ x y)) (sqrt 2)) (sqrt y)) (/ (/ (sqrt (+ x y)) (sqrt 2)) (sqrt y)) (* (/ (cbrt (/ (+ x y) 2)) y) (cbrt (/ (+ x y) 2))) (/ (sqrt (/ (+ x y) 2)) y) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (* (cbrt 2) (cbrt 2))) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (sqrt 2)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (/ (/ (sqrt (+ x y)) y) (cbrt 2)) (cbrt 2)) (/ (/ (sqrt (+ x y)) (sqrt 2)) y) (/ (sqrt (+ x y)) y) (/ (/ 1 (* (cbrt 2) (cbrt 2))) y) (/ (/ 1 y) (sqrt 2)) (/ 1 y) (/ (/ 1 (* (cbrt 2) (cbrt 2))) y) (/ (/ 1 y) (sqrt 2)) (/ 1 y) (/ 1 y) (/ (+ x y) y) (/ (* (cbrt (/ 1 y)) (+ x y)) 2) (/ (* (sqrt (/ 1 y)) (+ x y)) 2) (/ (/ (+ x y) (cbrt y)) 2) (/ (/ (+ x y) 2) (sqrt y)) (/ (/ (+ x y) 2) y) (/ (/ (+ x y) (cbrt y)) 2) (/ (/ (+ x y) 2) (sqrt y)) (/ (/ (+ x y) 2) y) (/ (/ (+ x y) (cbrt y)) 2) (/ (/ (+ x y) 2) (sqrt y)) (/ (/ (+ x y) 2) y) (/ (/ (+ x y) 2) y) (/ (/ (+ x y) 2) y) (/ (+ x y) y) (/ (+ x y) 2) (* (/ (+ x y) y) 1/2) (* (/ (+ x y) y) 1/2) (* (/ (+ x y) y) 1/2) 5.287 * * * [progress]: adding candidates to table 5.518 * [progress]: [Phase 3 of 3] Extracting. 5.518 * * [regime]: Finding splitpoints for: (# # #) 5.518 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ x y) (+ y y)) y x) 5.518 * * * * [regimes]: Trying to branch on (/ (+ x y) (+ y y)) from (# # #) 5.575 * * * * [regimes]: Trying to branch on y from (# # #) 5.627 * * * * [regimes]: Trying to branch on x from (# # #) 5.665 * * * [regime]: Found split indices: #