11.771 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying: (+ (+ (* x x) y) y) 0.020 * * [simplify]: iteration 0: 5 enodes 0.021 * * [simplify]: iteration 1: 9 enodes 0.022 * * [simplify]: iteration 2: 12 enodes 0.024 * * [simplify]: iteration 3: 13 enodes 0.025 * * [simplify]: iteration complete: 13 enodes 0.025 * * [simplify]: Extracting #0: cost 1 inf + 0 0.025 * * [simplify]: Extracting #1: cost 5 inf + 0 0.025 * * [simplify]: Extracting #2: cost 5 inf + 4 0.025 * * [simplify]: Extracting #3: cost 3 inf + 6 0.025 * * [simplify]: Extracting #4: cost 0 inf + 21 0.025 * [simplify]: Simplified to: (+ (+ (* x x) y) y) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.101 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.112 * * * [progress]: generating series expansions 0.112 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.112 * [backup-simplify]: Simplify (+ (+ (* x x) y) y) into (+ (pow x 2) (* 2 y)) 0.112 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.112 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.112 * [taylor]: Taking taylor expansion of x in y 0.112 * [backup-simplify]: Simplify x into x 0.112 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.112 * [taylor]: Taking taylor expansion of 2 in y 0.112 * [backup-simplify]: Simplify 2 into 2 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [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 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.112 * [taylor]: Taking taylor expansion of 2 in x 0.112 * [backup-simplify]: Simplify 2 into 2 0.112 * [taylor]: Taking taylor expansion of y in x 0.113 * [backup-simplify]: Simplify y into y 0.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.113 * [taylor]: Taking taylor expansion of 2 in x 0.113 * [backup-simplify]: Simplify 2 into 2 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [backup-simplify]: Simplify y into y 0.113 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.113 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.113 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.113 * [taylor]: Taking taylor expansion of 2 in y 0.113 * [backup-simplify]: Simplify 2 into 2 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (* 2 0) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.115 * [backup-simplify]: Simplify 2 into 2 0.115 * [backup-simplify]: Simplify (* 1 1) into 1 0.116 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.116 * [backup-simplify]: Simplify (+ 1 0) into 1 0.116 * [taylor]: Taking taylor expansion of 1 in y 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.118 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 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 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 0.120 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.120 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.120 * [taylor]: Taking taylor expansion of x in y 0.120 * [backup-simplify]: Simplify x into x 0.120 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.120 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.120 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.120 * [taylor]: Taking taylor expansion of 2 in y 0.120 * [backup-simplify]: Simplify 2 into 2 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (* 1 1) into 1 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.121 * [taylor]: Taking taylor expansion of 2 in x 0.121 * [backup-simplify]: Simplify 2 into 2 0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.121 * [taylor]: Taking taylor expansion of y in x 0.121 * [backup-simplify]: Simplify y into y 0.121 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (* 1 1) into 1 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.121 * [taylor]: Taking taylor expansion of 2 in x 0.121 * [backup-simplify]: Simplify 2 into 2 0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [backup-simplify]: Simplify y into y 0.122 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.122 * [backup-simplify]: Simplify (+ 1 0) into 1 0.122 * [taylor]: Taking taylor expansion of 1 in y 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.124 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.124 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.124 * [taylor]: Taking taylor expansion of 2 in y 0.124 * [backup-simplify]: Simplify 2 into 2 0.124 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (/ 1 1) into 1 0.125 * [backup-simplify]: Simplify (* 2 1) into 2 0.125 * [backup-simplify]: Simplify 2 into 2 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.126 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.129 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 0.130 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.130 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.130 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.130 * [taylor]: Taking taylor expansion of x in y 0.130 * [backup-simplify]: Simplify x into x 0.130 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.130 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.130 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.130 * [taylor]: Taking taylor expansion of 2 in y 0.131 * [backup-simplify]: Simplify 2 into 2 0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in y 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.131 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.131 * [backup-simplify]: Simplify (/ 1 1) into 1 0.131 * [taylor]: Taking taylor expansion of (* 2 (/ 1 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 (/ 1 y) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.132 * [backup-simplify]: Simplify y into y 0.132 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.132 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [taylor]: Taking taylor expansion of (* 2 (/ 1 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 (/ 1 y) in x 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [backup-simplify]: Simplify y into y 0.132 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.133 * [backup-simplify]: Simplify (+ 1 0) into 1 0.133 * [taylor]: Taking taylor expansion of 1 in y 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.135 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 0.135 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 0.135 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.135 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.135 * [taylor]: Taking taylor expansion of 2 in y 0.135 * [backup-simplify]: Simplify 2 into 2 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [backup-simplify]: Simplify (* 2 1) into 2 0.136 * [backup-simplify]: Simplify (- 2) into -2 0.136 * [backup-simplify]: Simplify -2 into -2 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.137 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.138 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.143 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 0.144 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.144 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.144 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.144 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.145 * [taylor]: Taking taylor expansion of x in y 0.145 * [backup-simplify]: Simplify x into x 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [backup-simplify]: Simplify y into y 0.145 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [backup-simplify]: Simplify y into y 0.145 * [backup-simplify]: Simplify (+ 0 y) into y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify 0 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 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (* 1 1) into 1 0.147 * [backup-simplify]: Simplify (+ 1 0) into 1 0.147 * [taylor]: Taking taylor expansion of 1 in y 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.148 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.148 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.149 * [taylor]: Taking taylor expansion of x in y 0.149 * [backup-simplify]: Simplify x into x 0.149 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.149 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (* 1 1) into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 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 (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (* 1 1) into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [backup-simplify]: Simplify y into y 0.151 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.152 * [backup-simplify]: Simplify (+ 1 0) into 1 0.152 * [taylor]: Taking taylor expansion of 1 in y 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.156 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.162 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.163 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.163 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.163 * [taylor]: Taking taylor expansion of x in y 0.163 * [backup-simplify]: Simplify x into x 0.163 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.163 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.163 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (* 1 1) into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [backup-simplify]: Simplify y into y 0.164 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.164 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (* 1 1) into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [backup-simplify]: Simplify y into y 0.164 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.165 * [backup-simplify]: Simplify (+ 1 0) into 1 0.165 * [taylor]: Taking taylor expansion of 1 in y 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [taylor]: Taking taylor expansion of 0 in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.167 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.167 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.167 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [backup-simplify]: Simplify (- 1) into -1 0.168 * [backup-simplify]: Simplify -1 into -1 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 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 (- (+ (* 1 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (- 0) into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.172 * [backup-simplify]: Simplify (- 0) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.173 * * * [progress]: simplifying candidates 0.173 * [simplify]: Simplifying: (* (* (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) (* (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) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.174 * * [simplify]: iteration 0: 48 enodes 0.184 * * [simplify]: iteration 1: 163 enodes 0.282 * * [simplify]: iteration 2: 737 enodes 0.529 * * [simplify]: iteration complete: 5001 enodes 0.529 * * [simplify]: Extracting #0: cost 23 inf + 0 0.530 * * [simplify]: Extracting #1: cost 518 inf + 0 0.535 * * [simplify]: Extracting #2: cost 2075 inf + 463 0.542 * * [simplify]: Extracting #3: cost 1306 inf + 11405 0.550 * * [simplify]: Extracting #4: cost 99 inf + 26748 0.558 * * [simplify]: Extracting #5: cost 34 inf + 27651 0.566 * * [simplify]: Extracting #6: cost 5 inf + 27800 0.576 * * [simplify]: Extracting #7: cost 0 inf + 27833 0.583 * [simplify]: Simplified to: (exp (+ (+ y (* x x)) y)) (exp (+ (+ y (* x x)) y)) (log (+ (+ (* x x) y) y)) (exp (+ (+ y (* x x)) y)) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (pow (+ (+ (* x x) y) y) 3) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow y 3) (pow (+ y (* x x)) 3)) (+ (* y y) (* (+ y (* x x)) (* x x))) (* (+ (+ (* x x) y) y) (* x x)) (* x x) (+ (+ (* x x) y) y) (+ y y) (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 y 3) (pow x 6)) (+ (pow x 4) (* y (- y (* x x)))) (- (pow x 4) (* y y)) (- (* x x) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ y (* x x)) (+ y (* x x)) (+ y (* x x)) 0.584 * * * [progress]: adding candidates to table 0.672 * * [progress]: iteration 2 / 4 0.672 * * * [progress]: picking best candidate 0.676 * * * * [pick]: Picked # 0.676 * * * [progress]: localizing error 0.690 * * * [progress]: generating rewritten candidates 0.690 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.721 * * * [progress]: generating series expansions 0.721 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.721 * [backup-simplify]: Simplify (+ (* x x) (+ y y)) into (+ (pow x 2) (* 2 y)) 0.721 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.721 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.721 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.721 * [taylor]: Taking taylor expansion of x in y 0.721 * [backup-simplify]: Simplify x into x 0.721 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.721 * [taylor]: Taking taylor expansion of 2 in y 0.721 * [backup-simplify]: Simplify 2 into 2 0.721 * [taylor]: Taking taylor expansion of y in y 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.721 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [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 0.722 * [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 0.723 * [backup-simplify]: Simplify (* 2 0) into 0 0.723 * [backup-simplify]: Simplify 0 into 0 0.724 * [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 0.725 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.725 * [backup-simplify]: Simplify 2 into 2 0.725 * [backup-simplify]: Simplify (* 1 1) into 1 0.726 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.727 * [backup-simplify]: Simplify (+ 1 0) into 1 0.727 * [taylor]: Taking taylor expansion of 1 in y 0.727 * [backup-simplify]: Simplify 1 into 1 0.727 * [backup-simplify]: Simplify 1 into 1 0.727 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.728 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.730 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.731 * [backup-simplify]: Simplify (+ 0 0) into 0 0.731 * [taylor]: Taking taylor expansion of 0 in y 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 0.733 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (+ (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.733 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.733 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.733 * [taylor]: Taking taylor expansion of x in y 0.733 * [backup-simplify]: Simplify x into x 0.733 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.733 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.733 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.733 * [taylor]: Taking taylor expansion of 2 in y 0.733 * [backup-simplify]: Simplify 2 into 2 0.733 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.733 * [taylor]: Taking taylor expansion of y in y 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify 1 into 1 0.733 * [backup-simplify]: Simplify (/ 1 1) into 1 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.734 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 1 into 1 0.734 * [backup-simplify]: Simplify (* 1 1) into 1 0.734 * [backup-simplify]: Simplify (/ 1 1) into 1 0.734 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.734 * [taylor]: Taking taylor expansion of 2 in x 0.735 * [backup-simplify]: Simplify 2 into 2 0.735 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.735 * [taylor]: Taking taylor expansion of y in x 0.735 * [backup-simplify]: Simplify y into y 0.735 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.735 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.735 * [backup-simplify]: Simplify (* 1 1) into 1 0.736 * [backup-simplify]: Simplify (/ 1 1) into 1 0.736 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.736 * [taylor]: Taking taylor expansion of 2 in x 0.736 * [backup-simplify]: Simplify 2 into 2 0.736 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.736 * [taylor]: Taking taylor expansion of y in x 0.736 * [backup-simplify]: Simplify y into y 0.736 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.736 * [backup-simplify]: Simplify (+ 1 0) into 1 0.736 * [taylor]: Taking taylor expansion of 1 in y 0.736 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.738 * [backup-simplify]: Simplify (+ 0 0) into 0 0.738 * [taylor]: Taking taylor expansion of 0 in y 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.740 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.740 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.740 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.740 * [taylor]: Taking taylor expansion of 2 in y 0.740 * [backup-simplify]: Simplify 2 into 2 0.740 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.740 * [taylor]: Taking taylor expansion of y in y 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.741 * [backup-simplify]: Simplify (/ 1 1) into 1 0.741 * [backup-simplify]: Simplify (* 2 1) into 2 0.741 * [backup-simplify]: Simplify 2 into 2 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.744 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.744 * [backup-simplify]: Simplify (+ 0 0) into 0 0.744 * [taylor]: Taking taylor expansion of 0 in y 0.744 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.749 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.749 * [backup-simplify]: Simplify (+ 0 0) into 0 0.750 * [taylor]: Taking taylor expansion of 0 in y 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 0.750 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.750 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.750 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.751 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.751 * [taylor]: Taking taylor expansion of x in y 0.751 * [backup-simplify]: Simplify x into x 0.751 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.751 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.751 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.751 * [taylor]: Taking taylor expansion of 2 in y 0.751 * [backup-simplify]: Simplify 2 into 2 0.751 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.751 * [taylor]: Taking taylor expansion of y in y 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [backup-simplify]: Simplify (/ 1 1) into 1 0.751 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.751 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.752 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify 1 into 1 0.752 * [backup-simplify]: Simplify (* 1 1) into 1 0.752 * [backup-simplify]: Simplify (/ 1 1) into 1 0.752 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.752 * [taylor]: Taking taylor expansion of 2 in x 0.752 * [backup-simplify]: Simplify 2 into 2 0.753 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.753 * [taylor]: Taking taylor expansion of y in x 0.753 * [backup-simplify]: Simplify y into y 0.753 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.753 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [backup-simplify]: Simplify (* 1 1) into 1 0.754 * [backup-simplify]: Simplify (/ 1 1) into 1 0.754 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.754 * [taylor]: Taking taylor expansion of 2 in x 0.754 * [backup-simplify]: Simplify 2 into 2 0.754 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.754 * [taylor]: Taking taylor expansion of y in x 0.754 * [backup-simplify]: Simplify y into y 0.754 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.754 * [backup-simplify]: Simplify (+ 1 0) into 1 0.754 * [taylor]: Taking taylor expansion of 1 in y 0.754 * [backup-simplify]: Simplify 1 into 1 0.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.756 * [backup-simplify]: Simplify (+ 0 0) into 0 0.756 * [taylor]: Taking taylor expansion of 0 in y 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.763 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 0.763 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 0.763 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.763 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.763 * [taylor]: Taking taylor expansion of 2 in y 0.764 * [backup-simplify]: Simplify 2 into 2 0.764 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.764 * [taylor]: Taking taylor expansion of y in y 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 1 into 1 0.764 * [backup-simplify]: Simplify (/ 1 1) into 1 0.765 * [backup-simplify]: Simplify (* 2 1) into 2 0.765 * [backup-simplify]: Simplify (- 2) into -2 0.765 * [backup-simplify]: Simplify -2 into -2 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.768 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.769 * [backup-simplify]: Simplify (- 0) into 0 0.769 * [backup-simplify]: Simplify (+ 0 0) into 0 0.770 * [taylor]: Taking taylor expansion of 0 in y 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.771 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.772 * [backup-simplify]: Simplify (- 0) into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.775 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.775 * [backup-simplify]: Simplify (- 0) into 0 0.776 * [backup-simplify]: Simplify (+ 0 0) into 0 0.776 * [taylor]: Taking taylor expansion of 0 in y 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 0.777 * * * [progress]: simplifying candidates 0.777 * [simplify]: Simplifying: (* (exp (* x x)) (* (exp y) (exp y))) (* (exp (* x x)) (exp (+ y 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) 3) (pow (+ y y) 3)) (+ (* (* x x) (* x x)) (- (* (+ y y) (+ y y)) (* (* x x) (+ y y)))) (- (* (* x x) (* x x)) (* (+ y y) (+ y y))) (- (* x x) (+ y y)) (+ (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.778 * * [simplify]: iteration 0: 34 enodes 0.791 * * [simplify]: iteration 1: 117 enodes 0.869 * * [simplify]: iteration 2: 605 enodes 1.900 * * [simplify]: iteration 3: 4438 enodes 4.035 * * [simplify]: iteration complete: 5000 enodes 4.035 * * [simplify]: Extracting #0: cost 12 inf + 0 4.036 * * [simplify]: Extracting #1: cost 188 inf + 0 4.041 * * [simplify]: Extracting #2: cost 1273 inf + 29 4.052 * * [simplify]: Extracting #3: cost 1353 inf + 2765 4.064 * * [simplify]: Extracting #4: cost 275 inf + 13237 4.076 * * [simplify]: Extracting #5: cost 17 inf + 15355 4.092 * * [simplify]: Extracting #6: cost 0 inf + 15522 4.098 * [simplify]: Simplified to: (exp (+ (* x x) (+ y y))) (exp (+ (* x x) (+ y 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))) (pow (+ (* x x) (+ y y)) 3) (sqrt (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))) (+ (pow (+ y y) 3) (pow x 6)) (+ (* y (- (* y 4) (* 2 (* x x)))) (pow x 4)) (+ (pow x 4) (* -4 (* y y))) (- (* x x) (+ y y)) (+ (* x x) y) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) 4.098 * * * [progress]: adding candidates to table 4.138 * [progress]: [Phase 3 of 3] Extracting. 4.142 * [simplify]: Simplifying: (+ (* x x) (+ y y)) 4.142 * * [simplify]: iteration 0: 5 enodes 4.143 * * [simplify]: iteration 1: 6 enodes 4.143 * * [simplify]: iteration complete: 6 enodes 4.143 * * [simplify]: Extracting #0: cost 1 inf + 0 4.143 * * [simplify]: Extracting #1: cost 3 inf + 0 4.143 * * [simplify]: Extracting #2: cost 5 inf + 0 4.143 * * [simplify]: Extracting #3: cost 2 inf + 5 4.143 * * [simplify]: Extracting #4: cost 0 inf + 15 4.143 * [simplify]: Simplified to: (+ (* x x) (+ y y)) 5.156 * [regime-testing]: Baseline error score: 0.004073629516279679 5.160 * [regime-testing]: Oracle error score: 0.004073629516279679 5.160 * [regime-testing]: End program error score: 0.004073629516279679 5.248 * [regime-testing]: Target error score: 0.004073629516279679