48.671 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.037 * [simplify]: Simplifying: (+ (+ (* x x) y) y) 0.038 * * [simplify]: iteration 0: 5 enodes 0.039 * * [simplify]: iteration 1: 9 enodes 0.041 * * [simplify]: iteration 2: 12 enodes 0.045 * * [simplify]: iteration 3: 13 enodes 0.048 * * [simplify]: iteration complete: 13 enodes 0.048 * * [simplify]: Extracting #0: cost 1 inf + 0 0.048 * * [simplify]: Extracting #1: cost 5 inf + 0 0.048 * * [simplify]: Extracting #2: cost 5 inf + 42 0.048 * * [simplify]: Extracting #3: cost 3 inf + 44 0.048 * * [simplify]: Extracting #4: cost 0 inf + 289 0.049 * [simplify]: Simplified to: (+ (+ (* x x) y) y) 0.050 * * [progress]: iteration 1 / 4 0.050 * * * [progress]: picking best candidate 0.056 * * * * [pick]: Picked # 0.056 * * * [progress]: localizing error 0.069 * * * [progress]: generating rewritten candidates 0.069 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.103 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.110 * * * [progress]: generating series expansions 0.110 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.111 * [backup-simplify]: Simplify (+ (+ (* x x) y) y) into (+ (pow x 2) (* 2 y)) 0.111 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.111 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [backup-simplify]: Simplify x into x 0.111 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.111 * [taylor]: Taking taylor expansion of 2 in y 0.111 * [backup-simplify]: Simplify 2 into 2 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.111 * [taylor]: Taking taylor expansion of 2 in x 0.111 * [backup-simplify]: Simplify 2 into 2 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [backup-simplify]: Simplify y into y 0.111 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.111 * [taylor]: Taking taylor expansion of 2 in x 0.111 * [backup-simplify]: Simplify 2 into 2 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [backup-simplify]: Simplify y into y 0.111 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.111 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 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 * [backup-simplify]: Simplify (* 2 0) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.113 * [backup-simplify]: Simplify 2 into 2 0.113 * [backup-simplify]: Simplify (* 1 1) into 1 0.114 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.114 * [backup-simplify]: Simplify (+ 1 0) into 1 0.114 * [taylor]: Taking taylor expansion of 1 in y 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.116 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 0.118 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.118 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [backup-simplify]: Simplify x into x 0.118 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.118 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.118 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.118 * [taylor]: Taking taylor expansion of 2 in y 0.118 * [backup-simplify]: Simplify 2 into 2 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (* 1 1) into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.119 * [taylor]: Taking taylor expansion of 2 in x 0.119 * [backup-simplify]: Simplify 2 into 2 0.119 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [backup-simplify]: Simplify y into y 0.119 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (* 1 1) into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.119 * [taylor]: Taking taylor expansion of 2 in x 0.119 * [backup-simplify]: Simplify 2 into 2 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [backup-simplify]: Simplify y into y 0.120 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.120 * [backup-simplify]: Simplify (+ 1 0) into 1 0.120 * [taylor]: Taking taylor expansion of 1 in y 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 1 into 1 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.122 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.122 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.122 * [taylor]: Taking taylor expansion of 2 in y 0.122 * [backup-simplify]: Simplify 2 into 2 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [backup-simplify]: Simplify (* 2 1) into 2 0.123 * [backup-simplify]: Simplify 2 into 2 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.124 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.127 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) 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 0 into 0 0.128 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 0.128 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.128 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.128 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.128 * [taylor]: Taking taylor expansion of x in y 0.128 * [backup-simplify]: Simplify x into x 0.128 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.128 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.128 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.128 * [taylor]: Taking taylor expansion of 2 in y 0.128 * [backup-simplify]: Simplify 2 into 2 0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.129 * [taylor]: Taking taylor expansion of 2 in x 0.129 * [backup-simplify]: Simplify 2 into 2 0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [backup-simplify]: Simplify y into y 0.129 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.129 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (* 1 1) into 1 0.130 * [backup-simplify]: Simplify (/ 1 1) into 1 0.130 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.130 * [taylor]: Taking taylor expansion of 2 in x 0.130 * [backup-simplify]: Simplify 2 into 2 0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [backup-simplify]: Simplify y into y 0.130 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.130 * [backup-simplify]: Simplify (+ 1 0) into 1 0.130 * [taylor]: Taking taylor expansion of 1 in y 0.130 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.133 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 0.133 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 0.133 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.133 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.133 * [taylor]: Taking taylor expansion of 2 in y 0.133 * [backup-simplify]: Simplify 2 into 2 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (/ 1 1) into 1 0.133 * [backup-simplify]: Simplify (* 2 1) into 2 0.134 * [backup-simplify]: Simplify (- 2) into -2 0.134 * [backup-simplify]: Simplify -2 into -2 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.135 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.135 * [backup-simplify]: Simplify (- 0) 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 (- (+ (* 1 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.139 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 0.139 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.140 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.140 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.140 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.140 * [taylor]: Taking taylor expansion of x in y 0.140 * [backup-simplify]: Simplify x into x 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of y in x 0.140 * [backup-simplify]: Simplify y into y 0.140 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of y in x 0.140 * [backup-simplify]: Simplify y into y 0.140 * [backup-simplify]: Simplify (+ 0 y) into y 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (* 1 1) into 1 0.141 * [backup-simplify]: Simplify (+ 1 0) into 1 0.141 * [taylor]: Taking taylor expansion of 1 in y 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [taylor]: Taking taylor expansion of 0 in y 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.142 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.142 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [backup-simplify]: Simplify x into x 0.142 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.142 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 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 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (* 1 1) into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [backup-simplify]: Simplify y into y 0.143 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (* 1 1) into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [backup-simplify]: Simplify y into y 0.144 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.144 * [backup-simplify]: Simplify (+ 1 0) into 1 0.144 * [taylor]: Taking taylor expansion of 1 in y 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (/ 1 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 0) (+ (* 0 0) (* 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) 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 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.150 * [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 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [taylor]: Taking taylor expansion of 0 in y 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.151 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.151 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.151 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.151 * [taylor]: Taking taylor expansion of x in y 0.151 * [backup-simplify]: Simplify x into x 0.151 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.151 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.151 * [taylor]: Taking taylor expansion of y in y 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 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [backup-simplify]: Simplify y into y 0.152 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.152 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [backup-simplify]: Simplify y into y 0.153 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.153 * [backup-simplify]: Simplify (+ 1 0) into 1 0.153 * [taylor]: Taking taylor expansion of 1 in y 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.154 * [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 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 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 (/ 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 0.157 * [backup-simplify]: Simplify (- 1) into -1 0.157 * [backup-simplify]: Simplify -1 into -1 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.159 * [backup-simplify]: Simplify (- 0) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (- 0) into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.166 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.167 * * * [progress]: simplifying candidates 0.168 * [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) 0.169 * * [simplify]: iteration 0: 48 enodes 0.186 * * [simplify]: iteration 1: 163 enodes 0.285 * * [simplify]: iteration 2: 737 enodes 0.523 * * [simplify]: iteration complete: 5001 enodes 0.523 * * [simplify]: Extracting #0: cost 23 inf + 0 0.525 * * [simplify]: Extracting #1: cost 518 inf + 0 0.534 * * [simplify]: Extracting #2: cost 2075 inf + 7724 0.563 * * [simplify]: Extracting #3: cost 1306 inf + 170553 0.651 * * [simplify]: Extracting #4: cost 99 inf + 390444 0.788 * * [simplify]: Extracting #5: cost 34 inf + 408384 0.868 * * [simplify]: Extracting #6: cost 5 inf + 414093 0.994 * * [simplify]: Extracting #7: cost 0 inf + 415518 1.133 * [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)) (* (+ (+ (* x x) y) y) (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (* y (* y y)) (* (+ y (* x x)) (* (+ y (* x x)) (+ y (* x x))))) (+ (* 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))) (* (+ y (* x x)) (* (+ y (* x x)) (+ y (* x x)))) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (+ (* y (* y y)) (* (* (* x x) x) (* (* x x) x))) (+ (* (* x x) (* x x)) (* y (- y (* x x)))) (- (* (* x x) (* x x)) (* 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)) 1.135 * * * [progress]: adding candidates to table 1.283 * * [progress]: iteration 2 / 4 1.283 * * * [progress]: picking best candidate 1.289 * * * * [pick]: Picked # 1.290 * * * [progress]: localizing error 1.305 * * * [progress]: generating rewritten candidates 1.305 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.321 * * * [progress]: generating series expansions 1.321 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.322 * [backup-simplify]: Simplify (+ (* x x) (+ y y)) into (+ (pow x 2) (* 2 y)) 1.322 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 1.322 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 1.322 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.322 * [taylor]: Taking taylor expansion of x in y 1.322 * [backup-simplify]: Simplify x into x 1.322 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.322 * [taylor]: Taking taylor expansion of 2 in y 1.322 * [backup-simplify]: Simplify 2 into 2 1.322 * [taylor]: Taking taylor expansion of y in y 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify 1 into 1 1.322 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 1.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.322 * [taylor]: Taking taylor expansion of x in x 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify 1 into 1 1.322 * [taylor]: Taking taylor expansion of (* 2 y) in x 1.322 * [taylor]: Taking taylor expansion of 2 in x 1.322 * [backup-simplify]: Simplify 2 into 2 1.322 * [taylor]: Taking taylor expansion of y in x 1.322 * [backup-simplify]: Simplify y into y 1.322 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 1.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.322 * [taylor]: Taking taylor expansion of x in x 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify 1 into 1 1.322 * [taylor]: Taking taylor expansion of (* 2 y) in x 1.322 * [taylor]: Taking taylor expansion of 2 in x 1.322 * [backup-simplify]: Simplify 2 into 2 1.322 * [taylor]: Taking taylor expansion of y in x 1.322 * [backup-simplify]: Simplify y into y 1.322 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 1.322 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 1.322 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.322 * [taylor]: Taking taylor expansion of 2 in y 1.322 * [backup-simplify]: Simplify 2 into 2 1.322 * [taylor]: Taking taylor expansion of y in y 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify 1 into 1 1.323 * [backup-simplify]: Simplify (* 2 0) into 0 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 1.323 * [backup-simplify]: Simplify (+ 0 0) into 0 1.323 * [taylor]: Taking taylor expansion of 0 in y 1.323 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.324 * [backup-simplify]: Simplify 2 into 2 1.324 * [backup-simplify]: Simplify (* 1 1) into 1 1.325 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 1.325 * [backup-simplify]: Simplify (+ 1 0) into 1 1.325 * [taylor]: Taking taylor expansion of 1 in y 1.325 * [backup-simplify]: Simplify 1 into 1 1.325 * [backup-simplify]: Simplify 1 into 1 1.325 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.327 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.327 * [backup-simplify]: Simplify (+ 0 0) into 0 1.327 * [taylor]: Taking taylor expansion of 0 in y 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 1.328 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (+ (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1.328 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 1.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 1.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.328 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.328 * [taylor]: Taking taylor expansion of x in y 1.328 * [backup-simplify]: Simplify x into x 1.328 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.328 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.329 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.329 * [taylor]: Taking taylor expansion of 2 in y 1.329 * [backup-simplify]: Simplify 2 into 2 1.329 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.329 * [taylor]: Taking taylor expansion of y in y 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 1 into 1 1.329 * [backup-simplify]: Simplify (/ 1 1) into 1 1.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 1 into 1 1.329 * [backup-simplify]: Simplify (* 1 1) into 1 1.329 * [backup-simplify]: Simplify (/ 1 1) into 1 1.329 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.329 * [taylor]: Taking taylor expansion of 2 in x 1.330 * [backup-simplify]: Simplify 2 into 2 1.330 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.330 * [taylor]: Taking taylor expansion of y in x 1.330 * [backup-simplify]: Simplify y into y 1.330 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [backup-simplify]: Simplify (* 1 1) into 1 1.330 * [backup-simplify]: Simplify (/ 1 1) into 1 1.330 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.330 * [taylor]: Taking taylor expansion of 2 in x 1.330 * [backup-simplify]: Simplify 2 into 2 1.330 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.330 * [taylor]: Taking taylor expansion of y in x 1.330 * [backup-simplify]: Simplify y into y 1.330 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.331 * [backup-simplify]: Simplify (+ 1 0) into 1 1.331 * [taylor]: Taking taylor expansion of 1 in y 1.331 * [backup-simplify]: Simplify 1 into 1 1.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.332 * [backup-simplify]: Simplify (+ 0 0) into 0 1.332 * [taylor]: Taking taylor expansion of 0 in y 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify 1 into 1 1.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.333 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 1.333 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 1.333 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.333 * [taylor]: Taking taylor expansion of 2 in y 1.333 * [backup-simplify]: Simplify 2 into 2 1.333 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.333 * [taylor]: Taking taylor expansion of y in y 1.333 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify 1 into 1 1.333 * [backup-simplify]: Simplify (/ 1 1) into 1 1.334 * [backup-simplify]: Simplify (* 2 1) into 2 1.334 * [backup-simplify]: Simplify 2 into 2 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.335 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 1.335 * [backup-simplify]: Simplify (+ 0 0) into 0 1.335 * [taylor]: Taking taylor expansion of 0 in y 1.335 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.336 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.338 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.339 * [backup-simplify]: Simplify (+ 0 0) into 0 1.339 * [taylor]: Taking taylor expansion of 0 in y 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 1.340 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1.340 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 1.340 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.340 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.340 * [taylor]: Taking taylor expansion of x in y 1.340 * [backup-simplify]: Simplify x into x 1.340 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.340 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.340 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.340 * [taylor]: Taking taylor expansion of 2 in y 1.340 * [backup-simplify]: Simplify 2 into 2 1.340 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.340 * [taylor]: Taking taylor expansion of y in y 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 1 into 1 1.340 * [backup-simplify]: Simplify (/ 1 1) into 1 1.340 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.341 * [taylor]: Taking taylor expansion of x in x 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 1 into 1 1.341 * [backup-simplify]: Simplify (* 1 1) into 1 1.341 * [backup-simplify]: Simplify (/ 1 1) into 1 1.341 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.341 * [taylor]: Taking taylor expansion of 2 in x 1.341 * [backup-simplify]: Simplify 2 into 2 1.341 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.341 * [taylor]: Taking taylor expansion of y in x 1.342 * [backup-simplify]: Simplify y into y 1.342 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.342 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 1 into 1 1.342 * [backup-simplify]: Simplify (* 1 1) into 1 1.343 * [backup-simplify]: Simplify (/ 1 1) into 1 1.343 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.343 * [taylor]: Taking taylor expansion of 2 in x 1.343 * [backup-simplify]: Simplify 2 into 2 1.343 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.343 * [taylor]: Taking taylor expansion of y in x 1.343 * [backup-simplify]: Simplify y into y 1.343 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.343 * [backup-simplify]: Simplify (+ 1 0) into 1 1.343 * [taylor]: Taking taylor expansion of 1 in y 1.343 * [backup-simplify]: Simplify 1 into 1 1.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.345 * [backup-simplify]: Simplify (+ 0 0) into 0 1.345 * [taylor]: Taking taylor expansion of 0 in y 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 1 into 1 1.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.347 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 1.347 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 1.347 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 1.347 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 1.347 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.347 * [taylor]: Taking taylor expansion of 2 in y 1.347 * [backup-simplify]: Simplify 2 into 2 1.347 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.347 * [taylor]: Taking taylor expansion of y in y 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 1 into 1 1.348 * [backup-simplify]: Simplify (/ 1 1) into 1 1.348 * [backup-simplify]: Simplify (* 2 1) into 2 1.349 * [backup-simplify]: Simplify (- 2) into -2 1.349 * [backup-simplify]: Simplify -2 into -2 1.349 * [backup-simplify]: Simplify 0 into 0 1.349 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.351 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 1.352 * [backup-simplify]: Simplify (- 0) into 0 1.352 * [backup-simplify]: Simplify (+ 0 0) into 0 1.352 * [taylor]: Taking taylor expansion of 0 in y 1.352 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.354 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.354 * [backup-simplify]: Simplify (- 0) into 0 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.358 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.358 * [backup-simplify]: Simplify (- 0) into 0 1.358 * [backup-simplify]: Simplify (+ 0 0) into 0 1.358 * [taylor]: Taking taylor expansion of 0 in y 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 1.359 * * * [progress]: simplifying candidates 1.360 * [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)) 1.360 * * [simplify]: iteration 0: 34 enodes 1.374 * * [simplify]: iteration 1: 117 enodes 1.434 * * [simplify]: iteration 2: 605 enodes 2.502 * * [simplify]: iteration 3: 4438 enodes 4.563 * * [simplify]: iteration complete: 5000 enodes 4.563 * * [simplify]: Extracting #0: cost 12 inf + 0 4.564 * * [simplify]: Extracting #1: cost 188 inf + 0 4.569 * * [simplify]: Extracting #2: cost 1273 inf + 479 4.590 * * [simplify]: Extracting #3: cost 1353 inf + 52433 4.657 * * [simplify]: Extracting #4: cost 275 inf + 215465 4.735 * * [simplify]: Extracting #5: cost 17 inf + 241685 4.811 * * [simplify]: Extracting #6: cost 0 inf + 246523 4.860 * [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))) (* (* (+ (* x x) (+ y y)) (+ (* x x) (+ y y))) (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))) (+ (* (* (+ y y) (+ y y)) (+ y y)) (* (* (* x x) (* x x)) (* x x))) (+ (* (+ y y) (+ y y)) (* (* x x) (- (* x x) (+ y y)))) (- (* (* x x) (* x x)) (* (+ y y) (+ y y))) (- (* x x) (+ y y)) (+ (* x x) y) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) 4.861 * * * [progress]: adding candidates to table 4.917 * [progress]: [Phase 3 of 3] Extracting. 4.917 * * [regime]: Finding splitpoints for: (# #) 4.917 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (+ (+ (* x x) y) y) y x) 4.917 * * * * [regimes]: Trying to branch on (* x x) from (# #) 4.974 * * * * [regimes]: Trying to branch on (+ (+ (* x x) y) y) from (# #) 5.011 * * * * [regimes]: Trying to branch on y from (# #) 5.041 * * * * [regimes]: Trying to branch on x from (# #) 5.070 * * * [regime]: Found split indices: #