3.979 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.036 * [progress]: [Phase 2 of 3] Improving. 0.037 * [simplify]: Simplifying: (/ (+ x y) (+ y y)) 0.037 * * [simplify]: iteration 0: 5 enodes 0.039 * * [simplify]: iteration 1: 8 enodes 0.041 * * [simplify]: iteration 2: 11 enodes 0.044 * * [simplify]: iteration complete: 11 enodes 0.044 * * [simplify]: Extracting #0: cost 1 inf + 0 0.044 * * [simplify]: Extracting #1: cost 5 inf + 0 0.044 * * [simplify]: Extracting #2: cost 5 inf + 42 0.044 * * [simplify]: Extracting #3: cost 3 inf + 44 0.045 * * [simplify]: Extracting #4: cost 0 inf + 291 0.045 * [simplify]: Simplified to: (/ (+ y x) (+ y y)) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.049 * * * * [pick]: Picked # 0.049 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.083 * * * [progress]: generating series expansions 0.083 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.084 * [backup-simplify]: Simplify (/ (+ x y) (+ y y)) into (* 1/2 (/ (+ x y) y)) 0.084 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.084 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.084 * [taylor]: Taking taylor expansion of 1/2 in y 0.084 * [backup-simplify]: Simplify 1/2 into 1/2 0.084 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.084 * [taylor]: Taking taylor expansion of (+ x y) in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [backup-simplify]: Simplify x into x 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (+ x 0) into x 0.084 * [backup-simplify]: Simplify (/ x 1) into x 0.084 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.084 * [taylor]: Taking taylor expansion of 1/2 in x 0.084 * [backup-simplify]: Simplify 1/2 into 1/2 0.084 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.084 * [taylor]: Taking taylor expansion of (+ x y) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [backup-simplify]: Simplify y into y 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [backup-simplify]: Simplify y into y 0.084 * [backup-simplify]: Simplify (+ 0 y) into y 0.084 * [backup-simplify]: Simplify (/ y y) into 1 0.085 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.085 * [taylor]: Taking taylor expansion of 1/2 in x 0.085 * [backup-simplify]: Simplify 1/2 into 1/2 0.085 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.085 * [taylor]: Taking taylor expansion of (+ x y) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [backup-simplify]: Simplify y into y 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [backup-simplify]: Simplify y into y 0.085 * [backup-simplify]: Simplify (+ 0 y) into y 0.085 * [backup-simplify]: Simplify (/ y y) into 1 0.086 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.086 * [taylor]: Taking taylor expansion of 1/2 in y 0.086 * [backup-simplify]: Simplify 1/2 into 1/2 0.086 * [backup-simplify]: Simplify (+ 1 0) into 1 0.086 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.087 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y)) 0.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.087 * [taylor]: Taking taylor expansion of 1/2 in y 0.087 * [backup-simplify]: Simplify 1/2 into 1/2 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (/ 1 1) into 1 0.088 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.088 * [backup-simplify]: Simplify 1/2 into 1/2 0.088 * [backup-simplify]: Simplify 1/2 into 1/2 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 0.098 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 y))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 0.098 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.098 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.098 * [taylor]: Taking taylor expansion of 1/2 in y 0.098 * [backup-simplify]: Simplify 1/2 into 1/2 0.098 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.098 * [taylor]: Taking taylor expansion of x in y 0.098 * [backup-simplify]: Simplify x into x 0.098 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.099 * [taylor]: Taking taylor expansion of 1/2 in x 0.099 * [backup-simplify]: Simplify 1/2 into 1/2 0.099 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.100 * [backup-simplify]: Simplify y into y 0.100 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.100 * [taylor]: Taking taylor expansion of y in x 0.100 * [backup-simplify]: Simplify y into y 0.100 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.100 * [taylor]: Taking taylor expansion of 1/2 in x 0.100 * [backup-simplify]: Simplify 1/2 into 1/2 0.100 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.100 * [taylor]: Taking taylor expansion of y in x 0.100 * [backup-simplify]: Simplify y into y 0.100 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.100 * [taylor]: Taking taylor expansion of y in x 0.100 * [backup-simplify]: Simplify y into y 0.101 * [backup-simplify]: Simplify (+ 1 0) into 1 0.101 * [backup-simplify]: Simplify (* 1 y) into y 0.101 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.101 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.101 * [taylor]: Taking taylor expansion of 1/2 in y 0.101 * [backup-simplify]: Simplify 1/2 into 1/2 0.101 * [taylor]: Taking taylor expansion of y in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.103 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.103 * [taylor]: Taking taylor expansion of 1/2 in y 0.103 * [backup-simplify]: Simplify 1/2 into 1/2 0.104 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1/2 into 1/2 0.107 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.107 * [backup-simplify]: Simplify 1/2 into 1/2 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 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 0) (* 0 y))))) into 0 0.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) 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 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.117 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 0.117 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.117 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.118 * [taylor]: Taking taylor expansion of 1/2 in y 0.118 * [backup-simplify]: Simplify 1/2 into 1/2 0.118 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [backup-simplify]: Simplify x into x 0.118 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 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 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.118 * [taylor]: Taking taylor expansion of 1/2 in x 0.118 * [backup-simplify]: Simplify 1/2 into 1/2 0.118 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [backup-simplify]: Simplify y into y 0.119 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [backup-simplify]: Simplify y into y 0.119 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.119 * [taylor]: Taking taylor expansion of 1/2 in x 0.119 * [backup-simplify]: Simplify 1/2 into 1/2 0.119 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [backup-simplify]: Simplify y into y 0.120 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [backup-simplify]: Simplify y into y 0.121 * [backup-simplify]: Simplify (+ 1 0) into 1 0.121 * [backup-simplify]: Simplify (* 1 y) into y 0.121 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.121 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.121 * [taylor]: Taking taylor expansion of 1/2 in y 0.121 * [backup-simplify]: Simplify 1/2 into 1/2 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 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.123 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.123 * [taylor]: Taking taylor expansion of 1/2 in y 0.123 * [backup-simplify]: Simplify 1/2 into 1/2 0.124 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1/2 into 1/2 0.127 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.127 * [backup-simplify]: Simplify 1/2 into 1/2 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.131 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [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) 0.147 * * [simplify]: iteration 0: 112 enodes 0.172 * * [simplify]: iteration 1: 231 enodes 0.280 * * [simplify]: iteration 2: 650 enodes 0.810 * * [simplify]: iteration 3: 2666 enodes 1.588 * * [simplify]: iteration complete: 5360 enodes 1.588 * * [simplify]: Extracting #0: cost 67 inf + 0 1.590 * * [simplify]: Extracting #1: cost 1049 inf + 2 1.602 * * [simplify]: Extracting #2: cost 2021 inf + 1881 1.624 * * [simplify]: Extracting #3: cost 1938 inf + 50451 1.705 * * [simplify]: Extracting #4: cost 377 inf + 290991 1.805 * * [simplify]: Extracting #5: cost 8 inf + 362195 1.903 * * [simplify]: Extracting #6: cost 0 inf + 363860 2.032 * [simplify]: Simplified to: (log (/ (+ y x) (+ y y))) (log (/ (+ y x) (+ y y))) (exp (/ (+ y x) (+ y y))) (* (* (/ (+ y x) (+ y y)) (/ (+ y x) (+ y y))) (/ (+ y x) (+ y y))) (* (cbrt (/ (+ y x) (+ y y))) (cbrt (/ (+ y x) (+ y y)))) (cbrt (/ (+ y x) (+ y y))) (* (* (/ (+ y x) (+ y y)) (/ (+ y x) (+ y y))) (/ (+ y x) (+ y y))) (sqrt (/ (+ y x) (+ y y))) (sqrt (/ (+ y x) (+ y y))) (- (- y) x) (* -2 y) (* (/ (cbrt (+ y x)) (cbrt (+ y y))) (/ (cbrt (+ y x)) (cbrt (+ y y)))) (/ (cbrt (+ y x)) (cbrt (+ y y))) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt (+ y y))) (/ (cbrt (+ y x)) (sqrt (+ y y))) (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (cbrt (+ y x)) (+ y y)) (* (/ (cbrt (+ y x)) (cbrt y)) (/ (cbrt (+ y x)) (cbrt y))) (/ (cbrt (+ y x)) (+ (cbrt y) (cbrt y))) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt y)) (/ (cbrt (+ y x)) (+ (sqrt y) (sqrt y))) (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (cbrt (+ y x)) (+ y y)) (* (/ (cbrt (+ y x)) (cbrt y)) (cbrt (+ y x))) (/ (cbrt (+ y x)) (* (+ (cbrt y) (cbrt y)) (cbrt y))) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt y)) (/ (cbrt (+ y x)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) y) (/ (cbrt (+ y x)) 2) (* (/ (cbrt (+ y x)) 2) (cbrt (+ y x))) (/ (cbrt (+ y x)) y) (* (/ (cbrt (+ y x)) 2) (cbrt (+ y x))) (/ (cbrt (+ y x)) y) (* (/ (cbrt (+ y x)) 2) (cbrt (+ y x))) (/ (cbrt (+ y x)) y) (/ (sqrt (+ y x)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ y x)) (cbrt (+ y y))) (/ (sqrt (+ y x)) (sqrt (+ y y))) (/ (sqrt (+ y x)) (sqrt (+ y y))) (sqrt (+ y x)) (/ (sqrt (+ y x)) (+ y y)) (/ (sqrt (+ y x)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ y x)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ y x)) (sqrt y)) (/ (sqrt (+ y x)) (+ (sqrt y) (sqrt y))) (sqrt (+ y x)) (/ (sqrt (+ y x)) (+ y y)) (/ (sqrt (+ y x)) (cbrt y)) (/ (sqrt (+ y x)) (* (+ (cbrt y) (cbrt y)) (cbrt y))) (/ (sqrt (+ y x)) (sqrt y)) (/ (sqrt (+ y x)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ y x)) y) (/ (sqrt (+ y x)) 2) (/ (sqrt (+ y x)) 2) (/ (sqrt (+ y x)) y) (/ (sqrt (+ y x)) 2) (/ (sqrt (+ y x)) y) (/ (sqrt (+ y x)) 2) (/ (sqrt (+ y x)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ y x) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ y x) (sqrt (+ y y))) 1 (/ (+ y x) (+ y y)) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (+ y x) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ y x) (+ (sqrt y) (sqrt y))) 1 (/ (+ y x) (+ y y)) (/ 1 (cbrt y)) (/ (/ (+ y x) (cbrt y)) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ y x) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ y x) 2) 1/2 (/ (+ y x) y) 1/2 (/ (+ y x) y) 1/2 (/ (+ y x) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ y x) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ y x) (sqrt (+ y y))) 1 (/ (+ y x) (+ y y)) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (+ y x) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ y x) (+ (sqrt y) (sqrt y))) 1 (/ (+ y x) (+ y y)) (/ 1 (cbrt y)) (/ (/ (+ y x) (cbrt y)) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ y x) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ y x) 2) 1/2 (/ (+ y x) y) 1/2 (/ (+ y x) y) 1/2 (/ (+ y x) y) (/ 1/2 y) (/ (+ y y) (+ y x)) (/ (+ y x) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ y x) (sqrt (+ y y))) (+ y x) (/ (+ y x) (* (cbrt y) (cbrt y))) (/ (+ y x) (sqrt y)) (+ y x) (/ (+ y x) (cbrt y)) (/ (+ y x) (sqrt y)) (/ (+ y x) y) (/ (+ y x) 2) (/ (+ y x) 2) (/ (+ y x) 2) (/ (+ y y) (cbrt (+ y x))) (/ (+ y y) (sqrt (+ y x))) (/ (+ y y) (+ y x)) (/ (+ y y) (+ y x)) (/ (/ (+ y x) (* y y)) (+ y y)) (/ (+ y x) 0) (+ (* y (+ (* x x) (* y (- y x)))) (* y (+ (* x x) (* y (- y x))))) (* (- x y) (+ y y)) (+ 1/2 (/ (* 1/2 x) y)) (+ 1/2 (/ (* 1/2 x) y)) (+ 1/2 (/ (* 1/2 x) y)) 2.039 * * * [progress]: adding candidates to table 2.362 * * [progress]: iteration 2 / 4 2.362 * * * [progress]: picking best candidate 2.366 * * * * [pick]: Picked # 2.366 * * * [progress]: localizing error 2.374 * * * [progress]: generating rewritten candidates 2.374 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 2.386 * * * [progress]: generating series expansions 2.386 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 2.386 * [backup-simplify]: Simplify (* 1/2 (/ x y)) into (* 1/2 (/ x y)) 2.386 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (x y) around 0 2.386 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 2.386 * [taylor]: Taking taylor expansion of 1/2 in y 2.386 * [backup-simplify]: Simplify 1/2 into 1/2 2.386 * [taylor]: Taking taylor expansion of (/ x y) in y 2.386 * [taylor]: Taking taylor expansion of x in y 2.386 * [backup-simplify]: Simplify x into x 2.386 * [taylor]: Taking taylor expansion of y in y 2.386 * [backup-simplify]: Simplify 0 into 0 2.386 * [backup-simplify]: Simplify 1 into 1 2.386 * [backup-simplify]: Simplify (/ x 1) into x 2.386 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 2.386 * [taylor]: Taking taylor expansion of 1/2 in x 2.386 * [backup-simplify]: Simplify 1/2 into 1/2 2.386 * [taylor]: Taking taylor expansion of (/ x y) in x 2.386 * [taylor]: Taking taylor expansion of x in x 2.386 * [backup-simplify]: Simplify 0 into 0 2.386 * [backup-simplify]: Simplify 1 into 1 2.386 * [taylor]: Taking taylor expansion of y in x 2.386 * [backup-simplify]: Simplify y into y 2.386 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.386 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 2.386 * [taylor]: Taking taylor expansion of 1/2 in x 2.386 * [backup-simplify]: Simplify 1/2 into 1/2 2.386 * [taylor]: Taking taylor expansion of (/ x y) in x 2.386 * [taylor]: Taking taylor expansion of x in x 2.386 * [backup-simplify]: Simplify 0 into 0 2.386 * [backup-simplify]: Simplify 1 into 1 2.386 * [taylor]: Taking taylor expansion of y in x 2.386 * [backup-simplify]: Simplify y into y 2.386 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.386 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 2.386 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.386 * [taylor]: Taking taylor expansion of 1/2 in y 2.386 * [backup-simplify]: Simplify 1/2 into 1/2 2.386 * [taylor]: Taking taylor expansion of y in y 2.386 * [backup-simplify]: Simplify 0 into 0 2.386 * [backup-simplify]: Simplify 1 into 1 2.387 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.387 * [backup-simplify]: Simplify 1/2 into 1/2 2.387 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.387 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 2.387 * [taylor]: Taking taylor expansion of 0 in y 2.387 * [backup-simplify]: Simplify 0 into 0 2.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.388 * [backup-simplify]: Simplify 0 into 0 2.388 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.389 * [taylor]: Taking taylor expansion of 0 in y 2.389 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.389 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.390 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 2.390 * [taylor]: Taking taylor expansion of 0 in y 2.390 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.391 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 y) x)) into (* 1/2 (/ x y)) 2.391 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 x) (/ 1 y))) into (* 1/2 (/ y x)) 2.391 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (x y) around 0 2.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 2.391 * [taylor]: Taking taylor expansion of 1/2 in y 2.391 * [backup-simplify]: Simplify 1/2 into 1/2 2.391 * [taylor]: Taking taylor expansion of (/ y x) in y 2.391 * [taylor]: Taking taylor expansion of y in y 2.391 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify 1 into 1 2.391 * [taylor]: Taking taylor expansion of x in y 2.391 * [backup-simplify]: Simplify x into x 2.391 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 2.391 * [taylor]: Taking taylor expansion of 1/2 in x 2.391 * [backup-simplify]: Simplify 1/2 into 1/2 2.391 * [taylor]: Taking taylor expansion of (/ y x) in x 2.391 * [taylor]: Taking taylor expansion of y in x 2.391 * [backup-simplify]: Simplify y into y 2.391 * [taylor]: Taking taylor expansion of x in x 2.391 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify 1 into 1 2.391 * [backup-simplify]: Simplify (/ y 1) into y 2.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 2.392 * [taylor]: Taking taylor expansion of 1/2 in x 2.392 * [backup-simplify]: Simplify 1/2 into 1/2 2.392 * [taylor]: Taking taylor expansion of (/ y x) in x 2.392 * [taylor]: Taking taylor expansion of y in x 2.392 * [backup-simplify]: Simplify y into y 2.392 * [taylor]: Taking taylor expansion of x in x 2.392 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify 1 into 1 2.392 * [backup-simplify]: Simplify (/ y 1) into y 2.392 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 2.392 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 2.392 * [taylor]: Taking taylor expansion of 1/2 in y 2.392 * [backup-simplify]: Simplify 1/2 into 1/2 2.392 * [taylor]: Taking taylor expansion of y in y 2.392 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify 1 into 1 2.392 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.392 * [backup-simplify]: Simplify 1/2 into 1/2 2.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 2.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 2.393 * [taylor]: Taking taylor expansion of 0 in y 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.394 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.395 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 2.395 * [taylor]: Taking taylor expansion of 0 in y 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.396 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.398 * [taylor]: Taking taylor expansion of 0 in y 2.398 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) into (* 1/2 (/ x y)) 2.398 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) into (* 1/2 (/ y x)) 2.398 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (x y) around 0 2.398 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 2.398 * [taylor]: Taking taylor expansion of 1/2 in y 2.398 * [backup-simplify]: Simplify 1/2 into 1/2 2.398 * [taylor]: Taking taylor expansion of (/ y x) in y 2.398 * [taylor]: Taking taylor expansion of y in y 2.398 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify 1 into 1 2.398 * [taylor]: Taking taylor expansion of x in y 2.398 * [backup-simplify]: Simplify x into x 2.398 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.398 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 2.398 * [taylor]: Taking taylor expansion of 1/2 in x 2.398 * [backup-simplify]: Simplify 1/2 into 1/2 2.398 * [taylor]: Taking taylor expansion of (/ y x) in x 2.398 * [taylor]: Taking taylor expansion of y in x 2.398 * [backup-simplify]: Simplify y into y 2.398 * [taylor]: Taking taylor expansion of x in x 2.398 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify 1 into 1 2.398 * [backup-simplify]: Simplify (/ y 1) into y 2.398 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 2.398 * [taylor]: Taking taylor expansion of 1/2 in x 2.398 * [backup-simplify]: Simplify 1/2 into 1/2 2.398 * [taylor]: Taking taylor expansion of (/ y x) in x 2.398 * [taylor]: Taking taylor expansion of y in x 2.398 * [backup-simplify]: Simplify y into y 2.399 * [taylor]: Taking taylor expansion of x in x 2.399 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify 1 into 1 2.399 * [backup-simplify]: Simplify (/ y 1) into y 2.399 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 2.399 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 2.399 * [taylor]: Taking taylor expansion of 1/2 in y 2.399 * [backup-simplify]: Simplify 1/2 into 1/2 2.399 * [taylor]: Taking taylor expansion of y in y 2.399 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify 1 into 1 2.399 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.399 * [backup-simplify]: Simplify 1/2 into 1/2 2.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 2.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 2.400 * [taylor]: Taking taylor expansion of 0 in y 2.400 * [backup-simplify]: Simplify 0 into 0 2.400 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.401 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 2.402 * [taylor]: Taking taylor expansion of 0 in y 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.403 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.405 * [taylor]: Taking taylor expansion of 0 in y 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) into (* 1/2 (/ x y)) 2.405 * * * [progress]: simplifying candidates 2.405 * [simplify]: Simplifying: (* 1/2 (/ x y)) (+ (log 1/2) (- (log x) (log y))) (+ (log 1/2) (log (/ x y))) (log (* 1/2 (/ x y))) (exp (* 1/2 (/ x y))) (* (* (* 1/2 1/2) 1/2) (/ (* (* x x) x) (* (* y y) y))) (* (* (* 1/2 1/2) 1/2) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* 1/2 (/ x y))) (cbrt (* 1/2 (/ x y)))) (cbrt (* 1/2 (/ x y))) (* (* (* 1/2 (/ x y)) (* 1/2 (/ x y))) (* 1/2 (/ x y))) (sqrt (* 1/2 (/ x y))) (sqrt (* 1/2 (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* 1/2 (* (cbrt (/ x y)) (cbrt (/ x y)))) (* 1/2 (sqrt (/ x y))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* 1/2 (/ (* (cbrt x) (cbrt x)) 1)) (* 1/2 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (sqrt x) (sqrt y))) (* 1/2 (/ (sqrt x) 1)) (* 1/2 (/ 1 (* (cbrt y) (cbrt y)))) (* 1/2 (/ 1 (sqrt y))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 x) (* (cbrt 1/2) (/ x y)) (* (sqrt 1/2) (/ x y)) (* 1/2 (/ x y)) (* 1/2 x) (* 1/2 (/ x y)) (* 1/2 (/ x y)) (* 1/2 (/ x y)) 2.406 * * [simplify]: iteration 0: 68 enodes 2.426 * * [simplify]: iteration 1: 172 enodes 2.479 * * [simplify]: iteration 2: 508 enodes 2.717 * * [simplify]: iteration 3: 1421 enodes 3.850 * * [simplify]: iteration complete: 5003 enodes 3.851 * * [simplify]: Extracting #0: cost 23 inf + 0 3.852 * * [simplify]: Extracting #1: cost 579 inf + 1 3.857 * * [simplify]: Extracting #2: cost 1294 inf + 10574 3.900 * * [simplify]: Extracting #3: cost 477 inf + 138039 3.955 * * [simplify]: Extracting #4: cost 33 inf + 208202 4.013 * * [simplify]: Extracting #5: cost 1 inf + 214229 4.065 * * [simplify]: Extracting #6: cost 0 inf + 214523 4.117 * [simplify]: Simplified to: (/ (* x 1/2) y) (log (/ (* x 1/2) y)) (log (/ (* x 1/2) y)) (log (/ (* x 1/2) y)) (sqrt (exp (/ x y))) (* (* 1/8 (* (/ x y) (/ x y))) (/ x y)) (* (* 1/8 (* (/ x y) (/ x y))) (/ x y)) (* (cbrt (/ (* x 1/2) y)) (cbrt (/ (* x 1/2) y))) (cbrt (/ (* x 1/2) y)) (* (* 1/8 (* (/ x y) (/ x y))) (/ x y)) (sqrt (/ (* x 1/2) y)) (sqrt (/ (* x 1/2) y)) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt x) (/ (sqrt 1/2) (sqrt y))) (* (sqrt x) (/ (sqrt 1/2) (sqrt y))) (* (* 1/2 (cbrt (/ x y))) (cbrt (/ x y))) (* (sqrt (/ x y)) 1/2) (* 1/2 (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (* 1/2 (/ (cbrt x) (sqrt y))) (cbrt x)) (/ (* (cbrt x) (cbrt x)) 2) (* (/ 1/2 (* (cbrt y) (cbrt y))) (sqrt x)) (* (/ 1/2 (sqrt y)) (sqrt x)) (/ (sqrt x) 2) (/ 1/2 (* (cbrt y) (cbrt y))) (/ 1/2 (sqrt y)) 1/2 1/2 (* x 1/2) (* (cbrt 1/2) (/ x y)) (/ (* (sqrt 1/2) x) y) (/ (* x 1/2) y) (* x 1/2) (/ (* x 1/2) y) (/ (* x 1/2) y) (/ (* x 1/2) y) 4.120 * * * [progress]: adding candidates to table 4.325 * [progress]: [Phase 3 of 3] Extracting. 4.328 * [simplify]: Simplifying: (+ (* 1/2 (/ x y)) 1/2) 4.328 * * [simplify]: iteration 0: 6 enodes 4.329 * * [simplify]: iteration 1: 8 enodes 4.329 * * [simplify]: iteration complete: 8 enodes 4.329 * * [simplify]: Extracting #0: cost 1 inf + 0 4.329 * * [simplify]: Extracting #1: cost 3 inf + 0 4.329 * * [simplify]: Extracting #2: cost 3 inf + 1 4.329 * * [simplify]: Extracting #3: cost 5 inf + 1 4.329 * * [simplify]: Extracting #4: cost 0 inf + 251 4.329 * [simplify]: Simplified to: (+ 1/2 (* (/ x y) 1/2)) 5.357 * [regime-testing]: Baseline error score: 0.009074254594414447 5.374 * [regime-testing]: Oracle error score: 0.009074254594414447 5.374 * [regime-testing]: End program error score: 0.009074254594414447 5.497 * [regime-testing]: Target error score: 0.009074254594414447