34.848 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying: (/ (* x y) (+ y 1.0)) 0.030 * * [simplify]: iteration 0: 6 enodes 0.032 * * [simplify]: iteration 1: 10 enodes 0.034 * * [simplify]: iteration 2: 14 enodes 0.037 * * [simplify]: iteration 3: 17 enodes 0.041 * * [simplify]: iteration 4: 18 enodes 0.045 * * [simplify]: iteration complete: 18 enodes 0.045 * * [simplify]: Extracting #0: cost 1 inf + 0 0.046 * * [simplify]: Extracting #1: cost 9 inf + 0 0.046 * * [simplify]: Extracting #2: cost 8 inf + 2 0.046 * * [simplify]: Extracting #3: cost 0 inf + 540 0.046 * [simplify]: Simplified to: (/ (* x y) (+ y 1.0)) 0.047 * * [progress]: iteration 1 / 4 0.047 * * * [progress]: picking best candidate 0.054 * * * * [pick]: Picked # 0.054 * * * [progress]: localizing error 0.068 * * * [progress]: generating rewritten candidates 0.068 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.095 * * * [progress]: generating series expansions 0.095 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.095 * [backup-simplify]: Simplify (/ (* x y) (+ y 1.0)) into (/ (* x y) (+ y 1.0)) 0.095 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.095 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.095 * [taylor]: Taking taylor expansion of (* x y) in y 0.095 * [taylor]: Taking taylor expansion of x in y 0.095 * [backup-simplify]: Simplify x into x 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 * [taylor]: Taking taylor expansion of (+ y 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in y 0.096 * [backup-simplify]: Simplify 1.0 into 1.0 0.096 * [backup-simplify]: Simplify (* x 0) into 0 0.097 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.097 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.097 * [backup-simplify]: Simplify (/ x 1.0) into (* 1.0 x) 0.097 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.097 * [taylor]: Taking taylor expansion of (* x y) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [backup-simplify]: Simplify y into y 0.097 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [backup-simplify]: Simplify y into y 0.097 * [taylor]: Taking taylor expansion of 1.0 in x 0.097 * [backup-simplify]: Simplify 1.0 into 1.0 0.097 * [backup-simplify]: Simplify (* 0 y) into 0 0.098 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.098 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 0.098 * [backup-simplify]: Simplify (/ y (+ y 1.0)) into (/ y (+ y 1.0)) 0.098 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.098 * [taylor]: Taking taylor expansion of (* x y) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [backup-simplify]: Simplify y into y 0.098 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [backup-simplify]: Simplify y into y 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [backup-simplify]: Simplify 1.0 into 1.0 0.099 * [backup-simplify]: Simplify (* 0 y) into 0 0.099 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.099 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 0.099 * [backup-simplify]: Simplify (/ y (+ y 1.0)) into (/ y (+ y 1.0)) 0.099 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 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 (+ y 1.0) in y 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 1.0 in y 0.099 * [backup-simplify]: Simplify 1.0 into 1.0 0.100 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.100 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.100 * [backup-simplify]: Simplify 1.0 into 1.0 0.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify (- (/ 0 (+ y 1.0)) (+ (* (/ y (+ y 1.0)) (/ 0 (+ y 1.0))))) 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) into 1 0.106 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 1.0) 0.106 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (- (/ 0 (+ y 1.0)) (+ (* (/ y (+ y 1.0)) (/ 0 (+ y 1.0))) (* 0 (/ 0 (+ y 1.0))))) into 0 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 1.0) (/ 1 1.0)))) into 1.0 0.114 * [backup-simplify]: Simplify 1.0 into 1.0 0.115 * [backup-simplify]: Simplify (+ (* 1.0 (* (pow y 3) x)) (+ (* (- 1.0) (* (pow y 2) x)) (* 1.0 (* y x)))) into (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) 0.115 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 y)) (+ (/ 1 y) 1.0)) into (/ 1 (* x (* (+ 1.0 (/ 1 y)) y))) 0.115 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ 1.0 (/ 1 y)) y))) in (x y) around 0 0.115 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ 1.0 (/ 1 y)) y))) in y 0.115 * [taylor]: Taking taylor expansion of (* x (* (+ 1.0 (/ 1 y)) y)) in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.115 * [backup-simplify]: Simplify x into x 0.115 * [taylor]: Taking taylor expansion of (* (+ 1.0 (/ 1 y)) y) in y 0.115 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 y)) in y 0.115 * [taylor]: Taking taylor expansion of 1.0 in y 0.115 * [backup-simplify]: Simplify 1.0 into 1.0 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [taylor]: Taking taylor expansion of y in y 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (+ 0 1) into 1 0.117 * [backup-simplify]: Simplify (* 1 0) into 0 0.117 * [backup-simplify]: Simplify (* x 0) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.119 * [backup-simplify]: Simplify (+ (* 1 1) (* 1.0 0)) into 1 0.119 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.119 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.119 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ 1.0 (/ 1 y)) y))) in x 0.119 * [taylor]: Taking taylor expansion of (* x (* (+ 1.0 (/ 1 y)) y)) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [taylor]: Taking taylor expansion of (* (+ 1.0 (/ 1 y)) y) in x 0.120 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 y)) in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [backup-simplify]: Simplify 1.0 into 1.0 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 0.120 * [backup-simplify]: Simplify (+ 1.0 (/ 1 y)) into (+ 1.0 (/ 1 y)) 0.120 * [backup-simplify]: Simplify (* (+ 1.0 (/ 1 y)) y) into (* (+ 1.0 (/ 1 y)) y) 0.120 * [backup-simplify]: Simplify (* 0 (* (+ 1.0 (/ 1 y)) y)) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (+ (* (+ 1.0 (/ 1 y)) 0) (* 0 y)) into 0 0.122 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* (+ 1.0 (/ 1 y)) y))) into (+ (* 1.0 y) 1) 0.122 * [backup-simplify]: Simplify (/ 1 (+ (* 1.0 y) 1)) into (/ 1 (+ (* 1.0 y) 1)) 0.122 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ 1.0 (/ 1 y)) y))) in x 0.122 * [taylor]: Taking taylor expansion of (* x (* (+ 1.0 (/ 1 y)) y)) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [taylor]: Taking taylor expansion of (* (+ 1.0 (/ 1 y)) y) in x 0.122 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 y)) in x 0.122 * [taylor]: Taking taylor expansion of 1.0 in x 0.122 * [backup-simplify]: Simplify 1.0 into 1.0 0.122 * [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 (/ 1 y)) into (+ 1.0 (/ 1 y)) 0.123 * [backup-simplify]: Simplify (* (+ 1.0 (/ 1 y)) y) into (* (+ 1.0 (/ 1 y)) y) 0.123 * [backup-simplify]: Simplify (* 0 (* (+ 1.0 (/ 1 y)) y)) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify (+ (* (+ 1.0 (/ 1 y)) 0) (* 0 y)) into 0 0.124 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* (+ 1.0 (/ 1 y)) y))) into (+ (* 1.0 y) 1) 0.124 * [backup-simplify]: Simplify (/ 1 (+ (* 1.0 y) 1)) into (/ 1 (+ (* 1.0 y) 1)) 0.124 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.124 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.124 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.124 * [taylor]: Taking taylor expansion of 1.0 in y 0.124 * [backup-simplify]: Simplify 1.0 into 1.0 0.124 * [taylor]: Taking taylor expansion of y in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of 1 in y 0.124 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.125 * [backup-simplify]: Simplify (+ 0 1) into 1 0.126 * [backup-simplify]: Simplify (/ 1 1) into 1 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (+ (* (+ 1.0 (/ 1 y)) 0) (+ (* 0 0) (* 0 y))) into 0 0.128 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (+ 1.0 (/ 1 y)) y)))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 1.0 y) 1)) (/ 0 (+ (* 1.0 y) 1))))) 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 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.130 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1.0 1)))) into (- 1.0) 0.133 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 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 0.134 * [backup-simplify]: Simplify (+ (* (+ 1.0 (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (+ 1.0 (/ 1 y)) y))))) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 1.0 y) 1)) (/ 0 (+ (* 1.0 y) 1))) (* 0 (/ 0 (+ (* 1.0 y) 1))))) into 0 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 1.0 1)))) into 1.0 0.140 * [backup-simplify]: Simplify 1.0 into 1.0 0.141 * [backup-simplify]: Simplify (+ (* 1.0 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) (+ (* (- 1.0) (* (/ 1 y) (/ 1 (/ 1 x)))) (* 1 (* 1 (/ 1 (/ 1 x)))))) into (- (+ (* 1.0 (/ x (pow y 2))) x) (* 1.0 (/ x y))) 0.141 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) 1.0)) into (/ 1 (* (- 1.0 (/ 1 y)) (* x y))) 0.141 * [approximate]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 y)) (* x y))) in (x y) around 0 0.141 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 y)) (* x y))) in y 0.141 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) (* x y)) in y 0.141 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.141 * [taylor]: Taking taylor expansion of 1.0 in y 0.141 * [backup-simplify]: Simplify 1.0 into 1.0 0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [taylor]: Taking taylor expansion of (* x y) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [backup-simplify]: Simplify x into x 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (- 1) into -1 0.142 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.142 * [backup-simplify]: Simplify (* x 0) into 0 0.143 * [backup-simplify]: Simplify (* -1 0) into 0 0.143 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.144 * [backup-simplify]: Simplify (+ (* -1 x) (* 1.0 0)) into (- x) 0.144 * [backup-simplify]: Simplify (/ 1 (- x)) into (/ -1 x) 0.144 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 y)) (* x y))) in x 0.144 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) (* x y)) in x 0.144 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [backup-simplify]: Simplify 1.0 into 1.0 0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [backup-simplify]: Simplify y into y 0.144 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.144 * [taylor]: Taking taylor expansion of (* x y) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [backup-simplify]: Simplify y into y 0.144 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.144 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.144 * [backup-simplify]: Simplify (* 0 y) into 0 0.144 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 y)) 0) into 0 0.145 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) y) (* 0 0)) into (- (* 1.0 y) 1) 0.150 * [backup-simplify]: Simplify (/ 1 (- (* 1.0 y) 1)) into (/ 1 (- (* 1.0 y) 1)) 0.150 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 y)) (* x y))) in x 0.150 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) (* x y)) in x 0.150 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [backup-simplify]: Simplify 1.0 into 1.0 0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [backup-simplify]: Simplify y into y 0.150 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.150 * [taylor]: Taking taylor expansion of (* x y) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [backup-simplify]: Simplify y into y 0.150 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.150 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.150 * [backup-simplify]: Simplify (* 0 y) into 0 0.150 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 y)) 0) into 0 0.151 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) y) (* 0 0)) into (- (* 1.0 y) 1) 0.152 * [backup-simplify]: Simplify (/ 1 (- (* 1.0 y) 1)) into (/ 1 (- (* 1.0 y) 1)) 0.152 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.152 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.152 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.152 * [taylor]: Taking taylor expansion of 1.0 in y 0.152 * [backup-simplify]: Simplify 1.0 into 1.0 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [taylor]: Taking taylor expansion of 1 in y 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.153 * [backup-simplify]: Simplify (- 1) into -1 0.153 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.153 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.153 * [backup-simplify]: Simplify -1 into -1 0.154 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.154 * [backup-simplify]: Simplify (- 0) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (+ (* 0 y) (* 0 0))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1.0 y) 1)) (/ 0 (- (* 1.0 y) 1))))) into 0 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.157 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)))) into (- 1.0) 0.158 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.158 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.159 * [backup-simplify]: Simplify (- 0) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1.0 y) 1)) (/ 0 (- (* 1.0 y) 1))) (* 0 (/ 0 (- (* 1.0 y) 1))))) into 0 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)))) into (- 1.0) 0.164 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.164 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) (+ (* (- 1.0) (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) (* -1 (* 1 (/ 1 (/ 1 (- x))))))) into (- (+ (* 1.0 (/ x (pow y 2))) x) (* 1.0 (/ x y))) 0.165 * * * [progress]: simplifying candidates 0.165 * [simplify]: Simplifying: (- (+ (log x) (log y)) (log (+ y 1.0))) (- (log (* x y)) (log (+ y 1.0))) (log (/ (* x y) (+ y 1.0))) (exp (/ (* x y) (+ y 1.0))) (/ (* (* (* x x) x) (* (* y y) y)) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (/ (* (* (* x y) (* x y)) (* x y)) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (/ (* x y) (+ y 1.0))) (cbrt (/ (* x y) (+ y 1.0)))) (cbrt (/ (* x y) (+ y 1.0))) (* (* (/ (* x y) (+ y 1.0)) (/ (* x y) (+ y 1.0))) (/ (* x y) (+ y 1.0))) (sqrt (/ (* x y) (+ y 1.0))) (sqrt (/ (* x y) (+ y 1.0))) (- (* x y)) (- (+ y 1.0)) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))) (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) (/ x 1) (/ y (+ y 1.0)) (/ x 1) (/ y (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (* x y)) (/ (* x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* x y) (sqrt (+ y 1.0))) (/ (* x y) 1) (/ (* x y) 1) (/ (+ y 1.0) y) (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (/ (* x y) (- (* y y) (* 1.0 1.0))) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ (* 1.0 (/ x (pow y 2))) x) (* 1.0 (/ x y))) (- (+ (* 1.0 (/ x (pow y 2))) x) (* 1.0 (/ x y))) 0.166 * * [simplify]: iteration 0: 72 enodes 0.191 * * [simplify]: iteration 1: 208 enodes 0.306 * * [simplify]: iteration 2: 1136 enodes 0.809 * * [simplify]: iteration complete: 5001 enodes 0.810 * * [simplify]: Extracting #0: cost 25 inf + 0 0.812 * * [simplify]: Extracting #1: cost 729 inf + 1 0.821 * * [simplify]: Extracting #2: cost 1841 inf + 2315 0.844 * * [simplify]: Extracting #3: cost 1795 inf + 44173 0.924 * * [simplify]: Extracting #4: cost 505 inf + 226138 1.013 * * [simplify]: Extracting #5: cost 47 inf + 313067 1.136 * * [simplify]: Extracting #6: cost 12 inf + 322991 1.223 * * [simplify]: Extracting #7: cost 1 inf + 324930 1.325 * * [simplify]: Extracting #8: cost 0 inf + 325183 1.399 * [simplify]: Simplified to: (log (/ y (/ (+ 1.0 y) x))) (log (/ y (/ (+ 1.0 y) x))) (log (/ y (/ (+ 1.0 y) x))) (exp (/ y (/ (+ 1.0 y) x))) (* (/ (* x x) (* (/ (+ 1.0 y) y) (/ (+ 1.0 y) y))) (/ x (/ (+ 1.0 y) y))) (* (* (/ (* x y) (+ 1.0 y)) (/ (* x y) (+ 1.0 y))) (/ (* x y) (+ 1.0 y))) (* (cbrt (/ y (/ (+ 1.0 y) x))) (cbrt (/ y (/ (+ 1.0 y) x)))) (cbrt (/ y (/ (+ 1.0 y) x))) (* (* (/ (* x y) (+ 1.0 y)) (/ (* x y) (+ 1.0 y))) (/ (* x y) (+ 1.0 y))) (sqrt (/ y (/ (+ 1.0 y) x))) (sqrt (/ y (/ (+ 1.0 y) x))) (* (- x) y) (- (- y) 1.0) (/ (/ x (cbrt (+ 1.0 y))) (cbrt (+ 1.0 y))) (/ y (cbrt (+ 1.0 y))) (/ x (sqrt (+ 1.0 y))) (/ y (sqrt (+ 1.0 y))) x (/ y (+ 1.0 y)) x (/ y (+ 1.0 y)) (/ 1 (+ 1.0 y)) (/ (+ 1.0 y) (* y x)) (/ y (/ (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y))) x)) (/ (* y x) (sqrt (+ 1.0 y))) (* y x) (* y x) (/ (+ 1.0 y) y) (/ x (/ (+ (* (* y y) y) (* (* 1.0 1.0) 1.0)) y)) (/ (/ y (/ (+ 1.0 y) x)) (- y 1.0)) (* 1.0 (- (+ (* y x) (* y (* (* x y) y))) (* (* x y) y))) (+ x (+ (* (/ x y) (/ 1.0 y)) (* 1.0 (- (/ x y))))) (+ x (+ (* (/ x y) (/ 1.0 y)) (* 1.0 (- (/ x y))))) 1.400 * * * [progress]: adding candidates to table 1.552 * * [progress]: iteration 2 / 4 1.552 * * * [progress]: picking best candidate 1.555 * * * * [pick]: Picked # 1.555 * * * [progress]: localizing error 1.566 * * * [progress]: generating rewritten candidates 1.566 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.615 * * * [progress]: generating series expansions 1.615 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.616 * [backup-simplify]: Simplify (* x (/ y (+ y 1.0))) into (/ (* x y) (+ y 1.0)) 1.616 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 1.616 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 1.616 * [taylor]: Taking taylor expansion of (* x y) in y 1.616 * [taylor]: Taking taylor expansion of x in y 1.616 * [backup-simplify]: Simplify x into x 1.616 * [taylor]: Taking taylor expansion of y in y 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.616 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.616 * [taylor]: Taking taylor expansion of y in y 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.616 * [taylor]: Taking taylor expansion of 1.0 in y 1.616 * [backup-simplify]: Simplify 1.0 into 1.0 1.616 * [backup-simplify]: Simplify (* x 0) into 0 1.617 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.617 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.617 * [backup-simplify]: Simplify (/ x 1.0) into (* 1.0 x) 1.617 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 1.617 * [taylor]: Taking taylor expansion of (* x y) in x 1.617 * [taylor]: Taking taylor expansion of x in x 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 1 into 1 1.617 * [taylor]: Taking taylor expansion of y in x 1.617 * [backup-simplify]: Simplify y into y 1.617 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.617 * [taylor]: Taking taylor expansion of y in x 1.617 * [backup-simplify]: Simplify y into y 1.618 * [taylor]: Taking taylor expansion of 1.0 in x 1.618 * [backup-simplify]: Simplify 1.0 into 1.0 1.618 * [backup-simplify]: Simplify (* 0 y) into 0 1.618 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.618 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 1.618 * [backup-simplify]: Simplify (/ y (+ y 1.0)) into (/ y (+ y 1.0)) 1.618 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 1.618 * [taylor]: Taking taylor expansion of (* x y) in x 1.618 * [taylor]: Taking taylor expansion of x in x 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 1 into 1 1.618 * [taylor]: Taking taylor expansion of y in x 1.618 * [backup-simplify]: Simplify y into y 1.618 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.618 * [taylor]: Taking taylor expansion of y in x 1.618 * [backup-simplify]: Simplify y into y 1.618 * [taylor]: Taking taylor expansion of 1.0 in x 1.618 * [backup-simplify]: Simplify 1.0 into 1.0 1.619 * [backup-simplify]: Simplify (* 0 y) into 0 1.619 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.619 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 1.619 * [backup-simplify]: Simplify (/ y (+ y 1.0)) into (/ y (+ y 1.0)) 1.619 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 1.619 * [taylor]: Taking taylor expansion of y in y 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.619 * [taylor]: Taking taylor expansion of y in y 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [taylor]: Taking taylor expansion of 1.0 in y 1.619 * [backup-simplify]: Simplify 1.0 into 1.0 1.620 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.620 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 1.620 * [backup-simplify]: Simplify 1.0 into 1.0 1.621 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.622 * [backup-simplify]: Simplify (+ 0 0) into 0 1.622 * [backup-simplify]: Simplify (- (/ 0 (+ y 1.0)) (+ (* (/ y (+ y 1.0)) (/ 0 (+ y 1.0))))) into 0 1.622 * [taylor]: Taking taylor expansion of 0 in y 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify (+ 1 0) into 1 1.625 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 1.0) 1.626 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.627 * [backup-simplify]: Simplify (+ 0 0) into 0 1.628 * [backup-simplify]: Simplify (- (/ 0 (+ y 1.0)) (+ (* (/ y (+ y 1.0)) (/ 0 (+ y 1.0))) (* 0 (/ 0 (+ y 1.0))))) into 0 1.628 * [taylor]: Taking taylor expansion of 0 in y 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify (+ 0 0) into 0 1.633 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 1.0) (/ 1 1.0)))) into 1.0 1.633 * [backup-simplify]: Simplify 1.0 into 1.0 1.634 * [backup-simplify]: Simplify (+ (* 1.0 (* (pow y 3) x)) (+ (* (- 1.0) (* (pow y 2) x)) (* 1.0 (* y x)))) into (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) 1.634 * [backup-simplify]: Simplify (* (/ 1 x) (/ (/ 1 y) (+ (/ 1 y) 1.0))) into (/ 1 (* x (* (+ 1.0 (/ 1 y)) y))) 1.634 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ 1.0 (/ 1 y)) y))) in (x y) around 0 1.634 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ 1.0 (/ 1 y)) y))) in y 1.634 * [taylor]: Taking taylor expansion of (* x (* (+ 1.0 (/ 1 y)) y)) in y 1.634 * [taylor]: Taking taylor expansion of x in y 1.634 * [backup-simplify]: Simplify x into x 1.634 * [taylor]: Taking taylor expansion of (* (+ 1.0 (/ 1 y)) y) in y 1.634 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 y)) in y 1.634 * [taylor]: Taking taylor expansion of 1.0 in y 1.634 * [backup-simplify]: Simplify 1.0 into 1.0 1.634 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.634 * [taylor]: Taking taylor expansion of y in y 1.634 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 1 into 1 1.635 * [backup-simplify]: Simplify (/ 1 1) into 1 1.635 * [taylor]: Taking taylor expansion of y in y 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 1 into 1 1.635 * [backup-simplify]: Simplify (+ 0 1) into 1 1.636 * [backup-simplify]: Simplify (* 1 0) into 0 1.636 * [backup-simplify]: Simplify (* x 0) into 0 1.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.637 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.638 * [backup-simplify]: Simplify (+ (* 1 1) (* 1.0 0)) into 1 1.638 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.638 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.638 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ 1.0 (/ 1 y)) y))) in x 1.638 * [taylor]: Taking taylor expansion of (* x (* (+ 1.0 (/ 1 y)) y)) in x 1.638 * [taylor]: Taking taylor expansion of x in x 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 1 into 1 1.638 * [taylor]: Taking taylor expansion of (* (+ 1.0 (/ 1 y)) y) in x 1.638 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 y)) in x 1.638 * [taylor]: Taking taylor expansion of 1.0 in x 1.638 * [backup-simplify]: Simplify 1.0 into 1.0 1.638 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.639 * [taylor]: Taking taylor expansion of y in x 1.639 * [backup-simplify]: Simplify y into y 1.639 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.639 * [taylor]: Taking taylor expansion of y in x 1.639 * [backup-simplify]: Simplify y into y 1.639 * [backup-simplify]: Simplify (+ 1.0 (/ 1 y)) into (+ 1.0 (/ 1 y)) 1.639 * [backup-simplify]: Simplify (* (+ 1.0 (/ 1 y)) y) into (* (+ 1.0 (/ 1 y)) y) 1.639 * [backup-simplify]: Simplify (* 0 (* (+ 1.0 (/ 1 y)) y)) into 0 1.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.639 * [backup-simplify]: Simplify (+ 0 0) into 0 1.640 * [backup-simplify]: Simplify (+ (* (+ 1.0 (/ 1 y)) 0) (* 0 y)) into 0 1.640 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* (+ 1.0 (/ 1 y)) y))) into (+ (* 1.0 y) 1) 1.640 * [backup-simplify]: Simplify (/ 1 (+ (* 1.0 y) 1)) into (/ 1 (+ (* 1.0 y) 1)) 1.640 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ 1.0 (/ 1 y)) y))) in x 1.640 * [taylor]: Taking taylor expansion of (* x (* (+ 1.0 (/ 1 y)) y)) in x 1.640 * [taylor]: Taking taylor expansion of x in x 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 1 into 1 1.640 * [taylor]: Taking taylor expansion of (* (+ 1.0 (/ 1 y)) y) in x 1.640 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 y)) in x 1.640 * [taylor]: Taking taylor expansion of 1.0 in x 1.640 * [backup-simplify]: Simplify 1.0 into 1.0 1.641 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.641 * [taylor]: Taking taylor expansion of y in x 1.641 * [backup-simplify]: Simplify y into y 1.641 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.641 * [taylor]: Taking taylor expansion of y in x 1.641 * [backup-simplify]: Simplify y into y 1.641 * [backup-simplify]: Simplify (+ 1.0 (/ 1 y)) into (+ 1.0 (/ 1 y)) 1.641 * [backup-simplify]: Simplify (* (+ 1.0 (/ 1 y)) y) into (* (+ 1.0 (/ 1 y)) y) 1.641 * [backup-simplify]: Simplify (* 0 (* (+ 1.0 (/ 1 y)) y)) into 0 1.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.642 * [backup-simplify]: Simplify (+ 0 0) into 0 1.642 * [backup-simplify]: Simplify (+ (* (+ 1.0 (/ 1 y)) 0) (* 0 y)) into 0 1.642 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* (+ 1.0 (/ 1 y)) y))) into (+ (* 1.0 y) 1) 1.642 * [backup-simplify]: Simplify (/ 1 (+ (* 1.0 y) 1)) into (/ 1 (+ (* 1.0 y) 1)) 1.642 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 1.642 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 1.642 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.642 * [taylor]: Taking taylor expansion of 1.0 in y 1.642 * [backup-simplify]: Simplify 1.0 into 1.0 1.643 * [taylor]: Taking taylor expansion of y in y 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 1 into 1 1.643 * [taylor]: Taking taylor expansion of 1 in y 1.643 * [backup-simplify]: Simplify 1 into 1 1.643 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.643 * [backup-simplify]: Simplify (+ 0 1) into 1 1.644 * [backup-simplify]: Simplify (/ 1 1) into 1 1.644 * [backup-simplify]: Simplify 1 into 1 1.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.644 * [backup-simplify]: Simplify (+ 0 0) into 0 1.645 * [backup-simplify]: Simplify (+ (* (+ 1.0 (/ 1 y)) 0) (+ (* 0 0) (* 0 y))) into 0 1.646 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (+ 1.0 (/ 1 y)) y)))) into 0 1.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 1.0 y) 1)) (/ 0 (+ (* 1.0 y) 1))))) into 0 1.646 * [taylor]: Taking taylor expansion of 0 in y 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 1.648 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1.0 1)))) into (- 1.0) 1.651 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.652 * [backup-simplify]: Simplify (+ 0 0) into 0 1.653 * [backup-simplify]: Simplify (+ (* (+ 1.0 (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.654 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (+ 1.0 (/ 1 y)) y))))) into 0 1.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 1.0 y) 1)) (/ 0 (+ (* 1.0 y) 1))) (* 0 (/ 0 (+ (* 1.0 y) 1))))) into 0 1.654 * [taylor]: Taking taylor expansion of 0 in y 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 1.656 * [backup-simplify]: Simplify (+ 0 0) into 0 1.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 1.0 1)))) into 1.0 1.660 * [backup-simplify]: Simplify 1.0 into 1.0 1.661 * [backup-simplify]: Simplify (+ (* 1.0 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) (+ (* (- 1.0) (* (/ 1 y) (/ 1 (/ 1 x)))) (* 1 (* 1 (/ 1 (/ 1 x)))))) into (- (+ (* 1.0 (/ x (pow y 2))) x) (* 1.0 (/ x y))) 1.661 * [backup-simplify]: Simplify (* (/ 1 (- x)) (/ (/ 1 (- y)) (+ (/ 1 (- y)) 1.0))) into (/ 1 (* (- 1.0 (/ 1 y)) (* x y))) 1.661 * [approximate]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 y)) (* x y))) in (x y) around 0 1.661 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 y)) (* x y))) in y 1.661 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) (* x y)) in y 1.661 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.661 * [taylor]: Taking taylor expansion of 1.0 in y 1.661 * [backup-simplify]: Simplify 1.0 into 1.0 1.661 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.661 * [taylor]: Taking taylor expansion of y in y 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (/ 1 1) into 1 1.662 * [taylor]: Taking taylor expansion of (* x y) in y 1.662 * [taylor]: Taking taylor expansion of x in y 1.662 * [backup-simplify]: Simplify x into x 1.662 * [taylor]: Taking taylor expansion of y in y 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (- 1) into -1 1.663 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.663 * [backup-simplify]: Simplify (* x 0) into 0 1.663 * [backup-simplify]: Simplify (* -1 0) into 0 1.664 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.665 * [backup-simplify]: Simplify (- 0) into 0 1.665 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.666 * [backup-simplify]: Simplify (+ (* -1 x) (* 1.0 0)) into (- x) 1.666 * [backup-simplify]: Simplify (/ 1 (- x)) into (/ -1 x) 1.666 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 y)) (* x y))) in x 1.666 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) (* x y)) in x 1.666 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 1.666 * [taylor]: Taking taylor expansion of 1.0 in x 1.666 * [backup-simplify]: Simplify 1.0 into 1.0 1.666 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.666 * [taylor]: Taking taylor expansion of y in x 1.666 * [backup-simplify]: Simplify y into y 1.666 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.666 * [taylor]: Taking taylor expansion of (* x y) in x 1.666 * [taylor]: Taking taylor expansion of x in x 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.666 * [taylor]: Taking taylor expansion of y in x 1.666 * [backup-simplify]: Simplify y into y 1.666 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.666 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 1.666 * [backup-simplify]: Simplify (* 0 y) into 0 1.667 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 y)) 0) into 0 1.667 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.667 * [backup-simplify]: Simplify (- 0) into 0 1.668 * [backup-simplify]: Simplify (+ 0 0) into 0 1.668 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) y) (* 0 0)) into (- (* 1.0 y) 1) 1.668 * [backup-simplify]: Simplify (/ 1 (- (* 1.0 y) 1)) into (/ 1 (- (* 1.0 y) 1)) 1.668 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 y)) (* x y))) in x 1.668 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) (* x y)) in x 1.669 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 1.669 * [taylor]: Taking taylor expansion of 1.0 in x 1.669 * [backup-simplify]: Simplify 1.0 into 1.0 1.669 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.669 * [taylor]: Taking taylor expansion of y in x 1.669 * [backup-simplify]: Simplify y into y 1.669 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.669 * [taylor]: Taking taylor expansion of (* x y) in x 1.669 * [taylor]: Taking taylor expansion of x in x 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 1 into 1 1.669 * [taylor]: Taking taylor expansion of y in x 1.669 * [backup-simplify]: Simplify y into y 1.669 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.669 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 1.669 * [backup-simplify]: Simplify (* 0 y) into 0 1.669 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 y)) 0) into 0 1.670 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.670 * [backup-simplify]: Simplify (- 0) into 0 1.670 * [backup-simplify]: Simplify (+ 0 0) into 0 1.671 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) y) (* 0 0)) into (- (* 1.0 y) 1) 1.671 * [backup-simplify]: Simplify (/ 1 (- (* 1.0 y) 1)) into (/ 1 (- (* 1.0 y) 1)) 1.671 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 1.671 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 1.671 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.671 * [taylor]: Taking taylor expansion of 1.0 in y 1.671 * [backup-simplify]: Simplify 1.0 into 1.0 1.671 * [taylor]: Taking taylor expansion of y in y 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [taylor]: Taking taylor expansion of 1 in y 1.671 * [backup-simplify]: Simplify 1 into 1 1.672 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.672 * [backup-simplify]: Simplify (- 1) into -1 1.673 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.673 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.673 * [backup-simplify]: Simplify -1 into -1 1.674 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.674 * [backup-simplify]: Simplify (- 0) into 0 1.675 * [backup-simplify]: Simplify (+ 0 0) into 0 1.675 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (+ (* 0 y) (* 0 0))) into 0 1.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1.0 y) 1)) (/ 0 (- (* 1.0 y) 1))))) into 0 1.676 * [taylor]: Taking taylor expansion of 0 in y 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 1.677 * [backup-simplify]: Simplify (- 0) into 0 1.678 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.680 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)))) into (- 1.0) 1.681 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.682 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.682 * [backup-simplify]: Simplify (- 0) into 0 1.683 * [backup-simplify]: Simplify (+ 0 0) into 0 1.684 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 1.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1.0 y) 1)) (/ 0 (- (* 1.0 y) 1))) (* 0 (/ 0 (- (* 1.0 y) 1))))) into 0 1.684 * [taylor]: Taking taylor expansion of 0 in y 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 1.686 * [backup-simplify]: Simplify (- 0) into 0 1.686 * [backup-simplify]: Simplify (+ 0 0) into 0 1.690 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)))) into (- 1.0) 1.690 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.692 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) (+ (* (- 1.0) (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) (* -1 (* 1 (/ 1 (/ 1 (- x))))))) into (- (+ (* 1.0 (/ x (pow y 2))) x) (* 1.0 (/ x y))) 1.692 * * * [progress]: simplifying candidates 1.693 * [simplify]: Simplifying: (* x (/ y (+ y 1.0))) (+ (log x) (- (log y) (log (+ y 1.0)))) (+ (log x) (log (/ y (+ y 1.0)))) (log (* x (/ y (+ y 1.0)))) (exp (* x (/ y (+ y 1.0)))) (* (* (* x x) x) (/ (* (* y y) y) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)))) (* (* (* x x) x) (* (* (/ y (+ y 1.0)) (/ y (+ y 1.0))) (/ y (+ y 1.0)))) (* (cbrt (* x (/ y (+ y 1.0)))) (cbrt (* x (/ y (+ y 1.0))))) (cbrt (* x (/ y (+ y 1.0)))) (* (* (* x (/ y (+ y 1.0))) (* x (/ y (+ y 1.0)))) (* x (/ y (+ y 1.0)))) (sqrt (* x (/ y (+ y 1.0)))) (sqrt (* x (/ y (+ y 1.0)))) (* (sqrt x) (sqrt (/ y (+ y 1.0)))) (* (sqrt x) (sqrt (/ y (+ y 1.0)))) (* (sqrt x) (/ (sqrt y) (sqrt (+ y 1.0)))) (* (sqrt x) (/ (sqrt y) (sqrt (+ y 1.0)))) (* x (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0))))) (* x (sqrt (/ y (+ y 1.0)))) (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0)))) (* x (/ (* (cbrt y) (cbrt y)) 1)) (* x (/ (* (cbrt y) (cbrt y)) 1)) (* x (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ (sqrt y) (sqrt (+ y 1.0)))) (* x (/ (sqrt y) 1)) (* x (/ (sqrt y) 1)) (* x (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ 1 (sqrt (+ y 1.0)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x y) (* x (/ y (+ (pow y 3) (pow 1.0 3)))) (* x (/ y (- (* y y) (* 1.0 1.0)))) (* (cbrt x) (/ y (+ y 1.0))) (* (sqrt x) (/ y (+ y 1.0))) (* x (/ y (+ y 1.0))) (* x y) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ (* 1.0 (/ x (pow y 2))) x) (* 1.0 (/ x y))) (- (+ (* 1.0 (/ x (pow y 2))) x) (* 1.0 (/ x y))) 1.694 * * [simplify]: iteration 0: 94 enodes 1.734 * * [simplify]: iteration 1: 266 enodes 1.843 * * [simplify]: iteration 2: 1137 enodes 2.184 * * [simplify]: iteration complete: 5001 enodes 2.184 * * [simplify]: Extracting #0: cost 27 inf + 0 2.186 * * [simplify]: Extracting #1: cost 481 inf + 1 2.203 * * [simplify]: Extracting #2: cost 1614 inf + 6601 2.226 * * [simplify]: Extracting #3: cost 1836 inf + 48268 2.304 * * [simplify]: Extracting #4: cost 394 inf + 246233 2.390 * * [simplify]: Extracting #5: cost 22 inf + 324016 2.503 * * [simplify]: Extracting #6: cost 2 inf + 326990 2.590 * * [simplify]: Extracting #7: cost 0 inf + 327496 2.703 * [simplify]: Simplified to: (/ (* x y) (+ 1.0 y)) (log (/ (* x y) (+ 1.0 y))) (log (/ (* x y) (+ 1.0 y))) (log (/ (* x y) (+ 1.0 y))) (exp (/ (* x y) (+ 1.0 y))) (* (* (/ y (+ 1.0 y)) x) (* (* (/ y (+ 1.0 y)) x) (* (/ y (+ 1.0 y)) x))) (* (* (/ y (+ 1.0 y)) x) (* (* (/ y (+ 1.0 y)) x) (* (/ y (+ 1.0 y)) x))) (* (cbrt (/ (* x y) (+ 1.0 y))) (cbrt (/ (* x y) (+ 1.0 y)))) (cbrt (/ (* x y) (+ 1.0 y))) (* (* (/ y (+ 1.0 y)) x) (* (* (/ y (+ 1.0 y)) x) (* (/ y (+ 1.0 y)) x))) (sqrt (/ (* x y) (+ 1.0 y))) (sqrt (/ (* x y) (+ 1.0 y))) (* (sqrt x) (sqrt (/ y (+ 1.0 y)))) (* (sqrt x) (sqrt (/ y (+ 1.0 y)))) (* (sqrt x) (/ (sqrt y) (sqrt (+ 1.0 y)))) (* (sqrt x) (/ (sqrt y) (sqrt (+ 1.0 y)))) (* x (* (cbrt (/ y (+ 1.0 y))) (cbrt (/ y (+ 1.0 y))))) (* (sqrt (/ y (+ 1.0 y))) x) (* (* (/ (cbrt y) (cbrt (+ 1.0 y))) (/ (cbrt y) (cbrt (+ 1.0 y)))) x) (/ (* (* (cbrt y) (cbrt y)) x) (sqrt (+ 1.0 y))) (* (* (cbrt y) (cbrt y)) x) (* (* (cbrt y) (cbrt y)) x) (* (/ x (cbrt (+ 1.0 y))) (/ (sqrt y) (cbrt (+ 1.0 y)))) (/ (* x (sqrt y)) (sqrt (+ 1.0 y))) (* x (sqrt y)) (* x (sqrt y)) (/ x (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))) (/ x (sqrt (+ 1.0 y))) x x x (* x y) (/ (* y x) (+ (* (* y y) y) (* (* 1.0 1.0) 1.0))) (* (/ x (- y 1.0)) (/ y (+ 1.0 y))) (/ (* y (cbrt x)) (+ 1.0 y)) (/ (* y (sqrt x)) (+ 1.0 y)) (/ (* x y) (+ 1.0 y)) (* x y) (* 1.0 (+ (* x y) (* (* y y) (- (* x y) x)))) (+ x (* 1.0 (- (/ x (* y y)) (/ x y)))) (+ x (* 1.0 (- (/ x (* y y)) (/ x y)))) 2.706 * * * [progress]: adding candidates to table 2.876 * [progress]: [Phase 3 of 3] Extracting. 2.876 * * [regime]: Finding splitpoints for: (# #) 2.876 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* x y) (+ y 1.0)) y x) 2.876 * * * * [regimes]: Trying to branch on (/ (* x y) (+ y 1.0)) from (# #) 2.910 * * * * [regimes]: Trying to branch on y from (# #) 2.959 * * * * [regimes]: Trying to branch on x from (# #) 2.985 * * * [regime]: Found split indices: #