85.688 * [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) 0.021 * * [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 0.029 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.042 * * * [progress]: generating rewritten candidates 0.042 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.076 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.088 * * * [progress]: generating series expansions 0.088 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.088 * [backup-simplify]: Simplify (+ (+ (* x x) y) y) into (+ (pow x 2) (* 2 y)) 0.088 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [backup-simplify]: Simplify x into x 0.089 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.089 * [taylor]: Taking taylor expansion of 2 in y 0.089 * [backup-simplify]: Simplify 2 into 2 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.089 * [taylor]: Taking taylor expansion of 2 in x 0.089 * [backup-simplify]: Simplify 2 into 2 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [backup-simplify]: Simplify y into y 0.089 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.089 * [taylor]: Taking taylor expansion of 2 in x 0.089 * [backup-simplify]: Simplify 2 into 2 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [backup-simplify]: Simplify y into y 0.089 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.089 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.089 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.089 * [taylor]: Taking taylor expansion of 2 in y 0.089 * [backup-simplify]: Simplify 2 into 2 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (* 2 0) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.091 * [backup-simplify]: Simplify 2 into 2 0.091 * [backup-simplify]: Simplify (* 1 1) into 1 0.092 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.092 * [backup-simplify]: Simplify (+ 1 0) into 1 0.092 * [taylor]: Taking taylor expansion of 1 in y 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.094 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 0.095 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.095 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.095 * [taylor]: Taking taylor expansion of x in y 0.095 * [backup-simplify]: Simplify x into x 0.095 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.095 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.095 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.095 * [taylor]: Taking taylor expansion of 2 in y 0.095 * [backup-simplify]: Simplify 2 into 2 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (* 1 1) into 1 0.096 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.096 * [taylor]: Taking taylor expansion of 2 in x 0.096 * [backup-simplify]: Simplify 2 into 2 0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [backup-simplify]: Simplify y into y 0.096 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (* 1 1) into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.097 * [taylor]: Taking taylor expansion of 2 in x 0.097 * [backup-simplify]: Simplify 2 into 2 0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [backup-simplify]: Simplify y into y 0.097 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.097 * [backup-simplify]: Simplify (+ 1 0) into 1 0.097 * [taylor]: Taking taylor expansion of 1 in y 0.097 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.100 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.100 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.100 * [taylor]: Taking taylor expansion of 2 in y 0.100 * [backup-simplify]: Simplify 2 into 2 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [backup-simplify]: Simplify (* 2 1) into 2 0.100 * [backup-simplify]: Simplify 2 into 2 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.102 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.107 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 0.108 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.108 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.108 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.108 * [taylor]: Taking taylor expansion of x in y 0.108 * [backup-simplify]: Simplify x into x 0.108 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.108 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.108 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.108 * [taylor]: Taking taylor expansion of 2 in y 0.108 * [backup-simplify]: Simplify 2 into 2 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (* 1 1) into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.109 * [taylor]: Taking taylor expansion of 2 in x 0.109 * [backup-simplify]: Simplify 2 into 2 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [backup-simplify]: Simplify y into y 0.109 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.109 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (* 1 1) into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.110 * [taylor]: Taking taylor expansion of 2 in x 0.110 * [backup-simplify]: Simplify 2 into 2 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [backup-simplify]: Simplify y into y 0.110 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.110 * [backup-simplify]: Simplify (+ 1 0) into 1 0.110 * [taylor]: Taking taylor expansion of 1 in y 0.110 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.112 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 0.113 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 0.113 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.113 * [taylor]: Taking taylor expansion of (* 2 (/ 1 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 (/ 1 y) in y 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 (/ 1 1) into 1 0.113 * [backup-simplify]: Simplify (* 2 1) into 2 0.113 * [backup-simplify]: Simplify (- 2) into -2 0.113 * [backup-simplify]: Simplify -2 into -2 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.115 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.115 * [backup-simplify]: Simplify (- 0) 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 (- (+ (* 1 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.119 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.119 * [backup-simplify]: Simplify (- 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 0.120 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.120 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.120 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.120 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 * [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 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 * [taylor]: Taking taylor expansion of y in x 0.120 * [backup-simplify]: Simplify y into y 0.120 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 * [taylor]: Taking taylor expansion of y in x 0.120 * [backup-simplify]: Simplify y into y 0.120 * [backup-simplify]: Simplify (+ 0 y) into 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 0 into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [backup-simplify]: Simplify 0 into 0 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 0) into 1 0.121 * [taylor]: Taking taylor expansion of 1 in y 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.122 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.122 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.122 * [taylor]: Taking taylor expansion of x in y 0.122 * [backup-simplify]: Simplify x into x 0.122 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.123 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (* 1 1) into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.124 * [backup-simplify]: Simplify y into y 0.124 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 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 (/ 1 1) into 1 0.125 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [backup-simplify]: Simplify y into y 0.125 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.125 * [backup-simplify]: Simplify (+ 1 0) into 1 0.125 * [taylor]: Taking taylor expansion of 1 in y 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 into 1 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 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 0.128 * [backup-simplify]: Simplify (/ 1 1) into 1 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 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 (- (+ (* 1 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.132 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.132 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.132 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [backup-simplify]: Simplify x into x 0.132 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.132 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 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 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 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 (/ 1 1) into 1 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.134 * [backup-simplify]: Simplify y into y 0.134 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.134 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (* 1 1) into 1 0.134 * [backup-simplify]: Simplify (/ 1 1) into 1 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [backup-simplify]: Simplify y into y 0.134 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.135 * [backup-simplify]: Simplify (+ 1 0) into 1 0.135 * [taylor]: Taking taylor expansion of 1 in y 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 into 1 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.137 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.137 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [backup-simplify]: Simplify (- 1) into -1 0.138 * [backup-simplify]: Simplify -1 into -1 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 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 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 0.142 * [backup-simplify]: Simplify (- 0) 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 0.143 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.143 * * * [progress]: simplifying candidates 0.143 * [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) 0.144 * * [simplify]: iteration 0: 48 enodes 0.152 * * [simplify]: iteration 1: 163 enodes 0.228 * * [simplify]: iteration 2: 737 enodes 0.410 * * [simplify]: iteration complete: 5001 enodes 0.410 * * [simplify]: Extracting #0: cost 23 inf + 0 0.411 * * [simplify]: Extracting #1: cost 518 inf + 0 0.424 * * [simplify]: Extracting #2: cost 2075 inf + 463 0.433 * * [simplify]: Extracting #3: cost 1306 inf + 11405 0.444 * * [simplify]: Extracting #4: cost 99 inf + 26748 0.453 * * [simplify]: Extracting #5: cost 34 inf + 27651 0.463 * * [simplify]: Extracting #6: cost 5 inf + 27800 0.472 * * [simplify]: Extracting #7: cost 0 inf + 27833 0.480 * [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)) 0.480 * * * [progress]: adding candidates to table 0.848 * * [progress]: iteration 2 / 4 0.848 * * * [progress]: picking best candidate 0.852 * * * * [pick]: Picked # 0.852 * * * [progress]: localizing error 0.863 * * * [progress]: generating rewritten candidates 0.863 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.885 * * * [progress]: generating series expansions 0.885 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.885 * [backup-simplify]: Simplify (+ (* x x) (+ y y)) into (+ (pow x 2) (* 2 y)) 0.885 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.885 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.885 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.885 * [taylor]: Taking taylor expansion of x in y 0.885 * [backup-simplify]: Simplify x into x 0.886 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.886 * [taylor]: Taking taylor expansion of 2 in y 0.886 * [backup-simplify]: Simplify 2 into 2 0.886 * [taylor]: Taking taylor expansion of y in y 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.886 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.886 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.886 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.886 * [taylor]: Taking taylor expansion of 2 in x 0.886 * [backup-simplify]: Simplify 2 into 2 0.886 * [taylor]: Taking taylor expansion of y in x 0.886 * [backup-simplify]: Simplify y into y 0.886 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.886 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.886 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.886 * [taylor]: Taking taylor expansion of 2 in x 0.886 * [backup-simplify]: Simplify 2 into 2 0.886 * [taylor]: Taking taylor expansion of y in x 0.886 * [backup-simplify]: Simplify y into y 0.886 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.886 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.886 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.886 * [taylor]: Taking taylor expansion of 2 in y 0.886 * [backup-simplify]: Simplify 2 into 2 0.886 * [taylor]: Taking taylor expansion of y in y 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.887 * [backup-simplify]: Simplify (* 2 0) into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.888 * [backup-simplify]: Simplify (+ 0 0) into 0 0.888 * [taylor]: Taking taylor expansion of 0 in y 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.888 * [backup-simplify]: Simplify 2 into 2 0.889 * [backup-simplify]: Simplify (* 1 1) into 1 0.889 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.890 * [backup-simplify]: Simplify (+ 1 0) into 1 0.890 * [taylor]: Taking taylor expansion of 1 in y 0.890 * [backup-simplify]: Simplify 1 into 1 0.890 * [backup-simplify]: Simplify 1 into 1 0.890 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.892 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.892 * [backup-simplify]: Simplify (+ 0 0) into 0 0.892 * [taylor]: Taking taylor expansion of 0 in y 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 0.894 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (+ (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.894 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.894 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.894 * [taylor]: Taking taylor expansion of x in y 0.894 * [backup-simplify]: Simplify x into x 0.894 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.895 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.895 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.895 * [taylor]: Taking taylor expansion of 2 in y 0.895 * [backup-simplify]: Simplify 2 into 2 0.895 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.895 * [taylor]: Taking taylor expansion of y in y 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 1 into 1 0.895 * [backup-simplify]: Simplify (/ 1 1) into 1 0.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.895 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 1 into 1 0.896 * [backup-simplify]: Simplify (* 1 1) into 1 0.896 * [backup-simplify]: Simplify (/ 1 1) into 1 0.896 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.896 * [taylor]: Taking taylor expansion of 2 in x 0.896 * [backup-simplify]: Simplify 2 into 2 0.896 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.896 * [taylor]: Taking taylor expansion of y in x 0.896 * [backup-simplify]: Simplify y into y 0.896 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.896 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 1 into 1 0.896 * [backup-simplify]: Simplify (* 1 1) into 1 0.897 * [backup-simplify]: Simplify (/ 1 1) into 1 0.897 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.897 * [taylor]: Taking taylor expansion of 2 in x 0.897 * [backup-simplify]: Simplify 2 into 2 0.897 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.897 * [taylor]: Taking taylor expansion of y in x 0.897 * [backup-simplify]: Simplify y into y 0.897 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.897 * [backup-simplify]: Simplify (+ 1 0) into 1 0.897 * [taylor]: Taking taylor expansion of 1 in y 0.897 * [backup-simplify]: Simplify 1 into 1 0.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (+ 0 0) into 0 0.899 * [taylor]: Taking taylor expansion of 0 in y 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify 1 into 1 0.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.900 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.900 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.900 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.900 * [taylor]: Taking taylor expansion of 2 in y 0.901 * [backup-simplify]: Simplify 2 into 2 0.901 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.901 * [taylor]: Taking taylor expansion of y in y 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 1 into 1 0.901 * [backup-simplify]: Simplify (/ 1 1) into 1 0.901 * [backup-simplify]: Simplify (* 2 1) into 2 0.901 * [backup-simplify]: Simplify 2 into 2 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.904 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.904 * [backup-simplify]: Simplify (+ 0 0) into 0 0.904 * [taylor]: Taking taylor expansion of 0 in y 0.904 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.905 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.912 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.912 * [backup-simplify]: Simplify (+ 0 0) into 0 0.912 * [taylor]: Taking taylor expansion of 0 in y 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 0.913 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.913 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.913 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.913 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.913 * [taylor]: Taking taylor expansion of x in y 0.913 * [backup-simplify]: Simplify x into x 0.913 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.913 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.913 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.913 * [taylor]: Taking taylor expansion of 2 in y 0.913 * [backup-simplify]: Simplify 2 into 2 0.913 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 1 into 1 0.913 * [backup-simplify]: Simplify (/ 1 1) into 1 0.914 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.914 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 1 into 1 0.914 * [backup-simplify]: Simplify (* 1 1) into 1 0.914 * [backup-simplify]: Simplify (/ 1 1) into 1 0.914 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.914 * [taylor]: Taking taylor expansion of 2 in x 0.914 * [backup-simplify]: Simplify 2 into 2 0.914 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.914 * [taylor]: Taking taylor expansion of y in x 0.914 * [backup-simplify]: Simplify y into y 0.914 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.915 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.915 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.915 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 1 into 1 0.915 * [backup-simplify]: Simplify (* 1 1) into 1 0.915 * [backup-simplify]: Simplify (/ 1 1) into 1 0.915 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.915 * [taylor]: Taking taylor expansion of 2 in x 0.915 * [backup-simplify]: Simplify 2 into 2 0.915 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.915 * [taylor]: Taking taylor expansion of y in x 0.915 * [backup-simplify]: Simplify y into y 0.915 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.916 * [backup-simplify]: Simplify (+ 1 0) into 1 0.916 * [taylor]: Taking taylor expansion of 1 in y 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.917 * [backup-simplify]: Simplify (+ 0 0) into 0 0.917 * [taylor]: Taking taylor expansion of 0 in y 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 1 into 1 0.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.919 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.919 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 0.919 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 0.919 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.919 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.919 * [taylor]: Taking taylor expansion of 2 in y 0.919 * [backup-simplify]: Simplify 2 into 2 0.919 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.920 * [backup-simplify]: Simplify (/ 1 1) into 1 0.920 * [backup-simplify]: Simplify (* 2 1) into 2 0.920 * [backup-simplify]: Simplify (- 2) into -2 0.920 * [backup-simplify]: Simplify -2 into -2 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.922 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.923 * [backup-simplify]: Simplify (- 0) into 0 0.923 * [backup-simplify]: Simplify (+ 0 0) into 0 0.923 * [taylor]: Taking taylor expansion of 0 in y 0.923 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.925 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.925 * [backup-simplify]: Simplify (- 0) into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.928 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.928 * [backup-simplify]: Simplify (- 0) into 0 0.928 * [backup-simplify]: Simplify (+ 0 0) into 0 0.928 * [taylor]: Taking taylor expansion of 0 in y 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 0.929 * * * [progress]: simplifying candidates 0.929 * [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)) 0.929 * * [simplify]: iteration 0: 34 enodes 0.938 * * [simplify]: iteration 1: 117 enodes 0.999 * * [simplify]: iteration 2: 605 enodes 1.761 * * [simplify]: iteration 3: 4438 enodes 3.436 * * [simplify]: iteration complete: 5000 enodes 3.436 * * [simplify]: Extracting #0: cost 12 inf + 0 3.437 * * [simplify]: Extracting #1: cost 188 inf + 0 3.441 * * [simplify]: Extracting #2: cost 1273 inf + 29 3.448 * * [simplify]: Extracting #3: cost 1353 inf + 2765 3.456 * * [simplify]: Extracting #4: cost 275 inf + 13237 3.465 * * [simplify]: Extracting #5: cost 17 inf + 15355 3.480 * * [simplify]: Extracting #6: cost 0 inf + 15522 3.487 * [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)) 3.488 * * * [progress]: adding candidates to table 3.545 * [progress]: [Phase 3 of 3] Extracting. 3.545 * * [regime]: Finding splitpoints for: (# #) 3.545 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (+ (+ (* x x) y) y) y x) 3.545 * * * * [regimes]: Trying to branch on (* x x) from (# #) 3.570 * * * * [regimes]: Trying to branch on (+ (+ (* x x) y) y) from (# #) 3.596 * * * * [regimes]: Trying to branch on y from (# #) 3.622 * * * * [regimes]: Trying to branch on x from (# #) 3.647 * * * [regime]: Found split indices: #