11.950 * [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. 0.036 * [simplify]: Simplifying: (+ (+ (* x x) y) y) 0.036 * * [simplify]: iteration 0: 5 enodes 0.038 * * [simplify]: iteration 1: 9 enodes 0.040 * * [simplify]: iteration 2: 12 enodes 0.043 * * [simplify]: iteration 3: 13 enodes 0.046 * * [simplify]: iteration complete: 13 enodes 0.046 * * [simplify]: Extracting #0: cost 1 inf + 0 0.046 * * [simplify]: Extracting #1: cost 5 inf + 0 0.046 * * [simplify]: Extracting #2: cost 5 inf + 4 0.046 * * [simplify]: Extracting #3: cost 3 inf + 6 0.046 * * [simplify]: Extracting #4: cost 0 inf + 21 0.046 * [simplify]: Simplified to: (+ (+ (* x x) y) y) 0.047 * * [progress]: iteration 1 / 4 0.047 * * * [progress]: picking best candidate 0.051 * * * * [pick]: Picked # 0.051 * * * [progress]: localizing error 0.058 * * * [progress]: generating rewritten candidates 0.058 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.064 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.105 * * * [progress]: generating series expansions 0.105 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.105 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.105 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.105 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.105 * [taylor]: Taking taylor expansion of x in y 0.105 * [backup-simplify]: Simplify x into x 0.105 * [taylor]: Taking taylor expansion of y in y 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [backup-simplify]: Simplify y into y 0.105 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [taylor]: Taking taylor expansion of y in x 0.106 * [backup-simplify]: Simplify y into y 0.106 * [backup-simplify]: Simplify (+ 0 y) into y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) 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 into 1 0.107 * [backup-simplify]: Simplify (* 1 1) into 1 0.107 * [backup-simplify]: Simplify (+ 1 0) into 1 0.107 * [taylor]: Taking taylor expansion of 1 in y 0.107 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.109 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.109 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.110 * [taylor]: Taking taylor expansion of x in y 0.110 * [backup-simplify]: Simplify x into x 0.110 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.110 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (* 1 1) into 1 0.111 * [backup-simplify]: Simplify (/ 1 1) into 1 0.111 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [backup-simplify]: Simplify y into y 0.111 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (* 1 1) into 1 0.112 * [backup-simplify]: Simplify (/ 1 1) into 1 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [backup-simplify]: Simplify y into y 0.112 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.113 * [backup-simplify]: Simplify (+ 1 0) into 1 0.113 * [taylor]: Taking taylor expansion of 1 in y 0.113 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.121 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.121 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.121 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [backup-simplify]: Simplify x into x 0.121 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.121 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (* 1 1) into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 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 (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (* 1 1) into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [backup-simplify]: Simplify y into y 0.123 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.123 * [backup-simplify]: Simplify (+ 1 0) into 1 0.123 * [taylor]: Taking taylor expansion of 1 in y 0.123 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.126 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.126 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (/ 1 1) into 1 0.126 * [backup-simplify]: Simplify (- 1) into -1 0.126 * [backup-simplify]: Simplify -1 into -1 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.128 * [backup-simplify]: Simplify (- 0) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) 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 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (- 0) into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) 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 (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.131 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.131 * [backup-simplify]: Simplify (+ (+ (* x x) y) y) into (+ (pow x 2) (* 2 y)) 0.131 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.131 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.131 * [taylor]: Taking taylor expansion of x in y 0.131 * [backup-simplify]: Simplify x into x 0.131 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.131 * [taylor]: Taking taylor expansion of 2 in y 0.131 * [backup-simplify]: Simplify 2 into 2 0.131 * [taylor]: Taking taylor expansion of y in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.131 * [taylor]: Taking taylor expansion of 2 in x 0.131 * [backup-simplify]: Simplify 2 into 2 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [backup-simplify]: Simplify y into y 0.132 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.132 * [taylor]: Taking taylor expansion of 2 in x 0.132 * [backup-simplify]: Simplify 2 into 2 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [backup-simplify]: Simplify y into y 0.132 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.132 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.132 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.132 * [taylor]: Taking taylor expansion of 2 in y 0.132 * [backup-simplify]: Simplify 2 into 2 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (* 2 0) into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.133 * [backup-simplify]: Simplify 2 into 2 0.133 * [backup-simplify]: Simplify (* 1 1) into 1 0.134 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.134 * [backup-simplify]: Simplify (+ 1 0) into 1 0.134 * [taylor]: Taking taylor expansion of 1 in y 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.136 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 0.137 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.137 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [backup-simplify]: Simplify x into x 0.138 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.138 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.138 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.138 * [taylor]: Taking taylor expansion of 2 in y 0.138 * [backup-simplify]: Simplify 2 into 2 0.138 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (* 1 1) into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.139 * [taylor]: Taking taylor expansion of 2 in x 0.139 * [backup-simplify]: Simplify 2 into 2 0.139 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [backup-simplify]: Simplify y into y 0.139 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (* 1 1) into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.139 * [taylor]: Taking taylor expansion of 2 in x 0.139 * [backup-simplify]: Simplify 2 into 2 0.139 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [backup-simplify]: Simplify y into y 0.139 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.140 * [backup-simplify]: Simplify (+ 1 0) into 1 0.140 * [taylor]: Taking taylor expansion of 1 in y 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.142 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.142 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.142 * [taylor]: Taking taylor expansion of 2 in y 0.142 * [backup-simplify]: Simplify 2 into 2 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in y 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 1) into 1 0.143 * [backup-simplify]: Simplify (* 2 1) into 2 0.143 * [backup-simplify]: Simplify 2 into 2 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.145 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.151 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 0.152 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.152 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.152 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.152 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.152 * [taylor]: Taking taylor expansion of x in y 0.152 * [backup-simplify]: Simplify x into x 0.152 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.152 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.152 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.152 * [taylor]: Taking taylor expansion of 2 in y 0.152 * [backup-simplify]: Simplify 2 into 2 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in y 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 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (* 1 1) into 1 0.154 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.154 * [taylor]: Taking taylor expansion of 2 in x 0.154 * [backup-simplify]: Simplify 2 into 2 0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [backup-simplify]: Simplify y into y 0.154 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.154 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (* 1 1) into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.155 * [taylor]: Taking taylor expansion of 2 in x 0.155 * [backup-simplify]: Simplify 2 into 2 0.155 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.155 * [backup-simplify]: Simplify y into y 0.155 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.156 * [backup-simplify]: Simplify (+ 1 0) into 1 0.156 * [taylor]: Taking taylor expansion of 1 in y 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.159 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 0.159 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 0.159 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.160 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.160 * [taylor]: Taking taylor expansion of 2 in y 0.160 * [backup-simplify]: Simplify 2 into 2 0.160 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (/ 1 1) into 1 0.160 * [backup-simplify]: Simplify (* 2 1) into 2 0.161 * [backup-simplify]: Simplify (- 2) into -2 0.161 * [backup-simplify]: Simplify -2 into -2 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.163 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.164 * [backup-simplify]: Simplify (- 0) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.169 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.170 * [backup-simplify]: Simplify (- 0) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [taylor]: Taking taylor expansion of 0 in y 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 0.171 * * * [progress]: simplifying candidates 0.171 * [simplify]: Simplifying: (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (* (* (exp (* x x)) (exp y)) (exp y)) (* (exp (+ (* x x) y)) (exp y)) (log (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (* (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))) (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)) (- (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ y y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.172 * * [simplify]: iteration 0: 48 enodes 0.188 * * [simplify]: iteration 1: 162 enodes 0.244 * * [simplify]: iteration 2: 691 enodes 0.523 * * [simplify]: iteration complete: 5000 enodes 0.523 * * [simplify]: Extracting #0: cost 23 inf + 0 0.524 * * [simplify]: Extracting #1: cost 500 inf + 0 0.540 * * [simplify]: Extracting #2: cost 1964 inf + 124 0.553 * * [simplify]: Extracting #3: cost 1241 inf + 10639 0.567 * * [simplify]: Extracting #4: cost 83 inf + 23306 0.581 * * [simplify]: Extracting #5: cost 19 inf + 24029 0.595 * * [simplify]: Extracting #6: cost 0 inf + 24143 0.608 * [simplify]: Simplified to: (exp (+ y (* x x))) (log (+ y (* x x))) (exp (+ y (* x x))) (* (cbrt (+ y (* x x))) (cbrt (+ y (* x x)))) (cbrt (+ y (* x x))) (pow (+ y (* x x)) 3) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (+ (pow x 6) (pow y 3)) (+ (* (- y (* x x)) y) (pow x 4)) (- (pow x 4) (* y y)) (- (* x x) y) (exp (+ (* x x) (* 2 y))) (exp (+ (* x x) (* 2 y))) (log (+ (+ y (* x x)) y)) (exp (+ (* x x) (* 2 y))) (* (cbrt (+ (+ y (* x x)) y)) (cbrt (+ (+ y (* x x)) y))) (cbrt (+ (+ y (* x x)) y)) (pow (+ (+ y (* x x)) y) 3) (sqrt (+ (+ y (* x x)) y)) (sqrt (+ (+ y (* x x)) y)) (+ (pow y 3) (pow (+ y (* x x)) 3)) (+ (* y y) (* (+ y (* x x)) (* x x))) (* (+ (* x x) (* 2 y)) (* x x)) (* x x) (+ (+ y (* x x)) y) (* 2 y) (+ y (* x x)) (+ y (* x x)) (+ y (* x x)) (+ (+ y (* x x)) y) (+ (+ y (* x x)) y) (+ (+ y (* x x)) y) 0.608 * * * [progress]: adding candidates to table 0.706 * * [progress]: iteration 2 / 4 0.706 * * * [progress]: picking best candidate 0.709 * * * * [pick]: Picked # 0.709 * * * [progress]: localizing error 0.715 * * * [progress]: generating rewritten candidates 0.715 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.722 * * * [progress]: generating series expansions 0.722 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.722 * [backup-simplify]: Simplify (+ (* x x) (* 2 y)) into (+ (pow x 2) (* 2 y)) 0.722 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.722 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.722 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.722 * [taylor]: Taking taylor expansion of x in y 0.722 * [backup-simplify]: Simplify x into x 0.722 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.722 * [taylor]: Taking taylor expansion of 2 in y 0.722 * [backup-simplify]: Simplify 2 into 2 0.722 * [taylor]: Taking taylor expansion of y in y 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.722 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.722 * [taylor]: Taking taylor expansion of 2 in x 0.722 * [backup-simplify]: Simplify 2 into 2 0.722 * [taylor]: Taking taylor expansion of y in x 0.722 * [backup-simplify]: Simplify y into y 0.722 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.722 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.722 * [taylor]: Taking taylor expansion of 2 in x 0.722 * [backup-simplify]: Simplify 2 into 2 0.722 * [taylor]: Taking taylor expansion of y in x 0.722 * [backup-simplify]: Simplify y into y 0.722 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.722 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.722 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.723 * [taylor]: Taking taylor expansion of 2 in y 0.723 * [backup-simplify]: Simplify 2 into 2 0.723 * [taylor]: Taking taylor expansion of y in y 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [backup-simplify]: Simplify (* 2 0) into 0 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.724 * [backup-simplify]: Simplify (+ 0 0) into 0 0.724 * [taylor]: Taking taylor expansion of 0 in y 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.724 * [backup-simplify]: Simplify 2 into 2 0.724 * [backup-simplify]: Simplify (* 1 1) into 1 0.725 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.725 * [backup-simplify]: Simplify (+ 1 0) into 1 0.726 * [taylor]: Taking taylor expansion of 1 in y 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.726 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.727 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.728 * [backup-simplify]: Simplify (+ 0 0) into 0 0.728 * [taylor]: Taking taylor expansion of 0 in y 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.728 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 0.729 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* 2 (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.729 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.729 * [taylor]: Taking taylor expansion of x in y 0.729 * [backup-simplify]: Simplify x into x 0.729 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.729 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.729 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.729 * [taylor]: Taking taylor expansion of 2 in y 0.729 * [backup-simplify]: Simplify 2 into 2 0.729 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * [backup-simplify]: Simplify (/ 1 1) into 1 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.730 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.730 * [backup-simplify]: Simplify (* 1 1) into 1 0.730 * [backup-simplify]: Simplify (/ 1 1) into 1 0.730 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.730 * [taylor]: Taking taylor expansion of 2 in x 0.730 * [backup-simplify]: Simplify 2 into 2 0.730 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.730 * [taylor]: Taking taylor expansion of y in x 0.730 * [backup-simplify]: Simplify y into y 0.730 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.730 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (* 1 1) into 1 0.731 * [backup-simplify]: Simplify (/ 1 1) into 1 0.731 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.731 * [taylor]: Taking taylor expansion of 2 in x 0.731 * [backup-simplify]: Simplify 2 into 2 0.731 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.731 * [taylor]: Taking taylor expansion of y in x 0.731 * [backup-simplify]: Simplify y into y 0.731 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.731 * [backup-simplify]: Simplify (+ 1 0) into 1 0.732 * [taylor]: Taking taylor expansion of 1 in y 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.733 * [backup-simplify]: Simplify (+ 0 0) into 0 0.733 * [taylor]: Taking taylor expansion of 0 in y 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify 1 into 1 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.734 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.734 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.734 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.734 * [taylor]: Taking taylor expansion of 2 in y 0.734 * [backup-simplify]: Simplify 2 into 2 0.734 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.734 * [taylor]: Taking taylor expansion of y in y 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 1 into 1 0.735 * [backup-simplify]: Simplify (/ 1 1) into 1 0.735 * [backup-simplify]: Simplify (* 2 1) into 2 0.735 * [backup-simplify]: Simplify 2 into 2 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.737 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.737 * [backup-simplify]: Simplify (+ 0 0) into 0 0.737 * [taylor]: Taking taylor expansion of 0 in y 0.737 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.738 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.740 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.741 * [backup-simplify]: Simplify (+ 0 0) into 0 0.741 * [taylor]: Taking taylor expansion of 0 in y 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 0.741 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* 2 (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.741 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.741 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.741 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.741 * [taylor]: Taking taylor expansion of x in y 0.741 * [backup-simplify]: Simplify x into x 0.741 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.741 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.741 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.741 * [taylor]: Taking taylor expansion of 2 in y 0.741 * [backup-simplify]: Simplify 2 into 2 0.741 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 1 into 1 0.742 * [backup-simplify]: Simplify (/ 1 1) into 1 0.742 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.742 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 1 into 1 0.742 * [backup-simplify]: Simplify (* 1 1) into 1 0.742 * [backup-simplify]: Simplify (/ 1 1) into 1 0.742 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.742 * [taylor]: Taking taylor expansion of 2 in x 0.742 * [backup-simplify]: Simplify 2 into 2 0.742 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.742 * [taylor]: Taking taylor expansion of y in x 0.742 * [backup-simplify]: Simplify y into y 0.742 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.742 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.742 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 1 into 1 0.743 * [backup-simplify]: Simplify (* 1 1) into 1 0.743 * [backup-simplify]: Simplify (/ 1 1) into 1 0.743 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.743 * [taylor]: Taking taylor expansion of 2 in x 0.743 * [backup-simplify]: Simplify 2 into 2 0.743 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.743 * [taylor]: Taking taylor expansion of y in x 0.743 * [backup-simplify]: Simplify y into y 0.743 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.744 * [backup-simplify]: Simplify (+ 1 0) into 1 0.744 * [taylor]: Taking taylor expansion of 1 in y 0.744 * [backup-simplify]: Simplify 1 into 1 0.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (+ 0 0) into 0 0.746 * [taylor]: Taking taylor expansion of 0 in y 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify 1 into 1 0.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.748 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.748 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 0.748 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 0.748 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.748 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.748 * [taylor]: Taking taylor expansion of 2 in y 0.748 * [backup-simplify]: Simplify 2 into 2 0.748 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (/ 1 1) into 1 0.749 * [backup-simplify]: Simplify (* 2 1) into 2 0.749 * [backup-simplify]: Simplify (- 2) into -2 0.749 * [backup-simplify]: Simplify -2 into -2 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.752 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.753 * [backup-simplify]: Simplify (- 0) into 0 0.753 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [taylor]: Taking taylor expansion of 0 in y 0.753 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.754 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.755 * [backup-simplify]: Simplify (- 0) into 0 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.758 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.759 * [backup-simplify]: Simplify (- 0) into 0 0.759 * [backup-simplify]: Simplify (+ 0 0) into 0 0.759 * [taylor]: Taking taylor expansion of 0 in y 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 0.760 * * * [progress]: simplifying candidates 0.760 * [simplify]: Simplifying: (* (exp (* x x)) (exp (* 2 y))) (log (+ (* x x) (* 2 y))) (exp (+ (* x x) (* 2 y))) (* (cbrt (+ (* x x) (* 2 y))) (cbrt (+ (* x x) (* 2 y)))) (cbrt (+ (* x x) (* 2 y))) (* (* (+ (* x x) (* 2 y)) (+ (* x x) (* 2 y))) (+ (* x x) (* 2 y))) (sqrt (+ (* x x) (* 2 y))) (sqrt (+ (* x x) (* 2 y))) (+ (pow (* x x) 3) (pow (* 2 y) 3)) (+ (* (* x x) (* x x)) (- (* (* 2 y) (* 2 y)) (* (* x x) (* 2 y)))) (- (* (* x x) (* x x)) (* (* 2 y) (* 2 y))) (- (* x x) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.761 * * [simplify]: iteration 0: 29 enodes 0.768 * * [simplify]: iteration 1: 112 enodes 0.827 * * [simplify]: iteration 2: 527 enodes 1.517 * * [simplify]: iteration 3: 3336 enodes 2.706 * * [simplify]: iteration complete: 5000 enodes 2.706 * * [simplify]: Extracting #0: cost 11 inf + 0 2.707 * * [simplify]: Extracting #1: cost 120 inf + 0 2.712 * * [simplify]: Extracting #2: cost 1528 inf + 1 2.722 * * [simplify]: Extracting #3: cost 1205 inf + 2884 2.734 * * [simplify]: Extracting #4: cost 432 inf + 7174 2.745 * * [simplify]: Extracting #5: cost 37 inf + 12393 2.766 * * [simplify]: Extracting #6: cost 1 inf + 12789 2.778 * * [simplify]: Extracting #7: cost 0 inf + 12782 2.785 * [simplify]: Simplified to: (exp (+ (+ y y) (* x x))) (log (+ (* x x) (* 2 y))) (exp (+ (+ y y) (* x x))) (* (cbrt (+ (* x x) (* 2 y))) (cbrt (+ (* x x) (* 2 y)))) (cbrt (+ (* x x) (* 2 y))) (pow (+ (* x x) (* 2 y)) 3) (sqrt (+ (* x x) (* 2 y))) (sqrt (+ (* x x) (* 2 y))) (+ (pow x 6) (* (pow y 3) 8)) (+ (pow x 4) (* (* 2 y) (- (* 2 y) (* x x)))) (- (pow x 4) (* y (* y 4))) (- (* x x) (* 2 y)) (+ (* x x) (* 2 y)) (+ (* x x) (* 2 y)) (+ (* x x) (* 2 y)) 2.785 * * * [progress]: adding candidates to table 2.820 * [progress]: [Phase 3 of 3] Extracting. 2.820 * * [regime]: Finding splitpoints for: (# #) 2.820 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (+ (+ (* x x) y) y) y x) 2.820 * * * * [regimes]: Trying to branch on (* x x) from (# #) 2.873 * * * * [regimes]: Trying to branch on (+ (+ (* x x) y) y) from (# #) 2.921 * * * * [regimes]: Trying to branch on y from (# #) 2.973 * * * * [regimes]: Trying to branch on x from (# #) 3.000 * * * [regime]: Found split indices: #