41.814 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying: (+ (+ (* x x) y) y) 0.020 * * [simplify]: Extracting # 0 : cost 0 0.020 * * [simplify]: Extracting # 1 : cost 0 0.020 * * [simplify]: Extracting # 2 : cost 0 0.020 * * [simplify]: Extracting # 3 : cost 0 0.020 * * [simplify]: Extracting # 4 : cost 0 0.020 * * [simplify]: Extracting # 5 : cost 0 0.020 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.021 * * [simplify]: Extracting # 0 : cost 0 0.021 * * [simplify]: Extracting # 1 : cost 0 0.021 * * [simplify]: Extracting # 2 : cost 0 0.021 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.022 * * [simplify]: Extracting # 0 : cost 0 0.022 * * [simplify]: Extracting # 1 : cost 0 0.022 * * [simplify]: Extracting # 2 : cost 0 0.022 * * [simplify]: iteration 2 : 12 enodes (cost 7 ) 0.024 * * [simplify]: Extracting # 0 : cost 0 0.024 * * [simplify]: iteration 3 : 13 enodes (cost 7 ) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.026 * * [simplify]: iteration done: 13 enodes (cost 7 ) 0.026 * [simplify]: Simplified to: (+ (+ (* x x) y) y) 0.026 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.034 * * * [progress]: generating rewritten candidates 0.034 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.043 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.091 * * * [progress]: generating series expansions 0.091 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.091 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.091 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.091 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [backup-simplify]: Simplify x into x 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [backup-simplify]: Simplify y into y 0.091 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [backup-simplify]: Simplify y into y 0.091 * [backup-simplify]: Simplify (+ 0 y) into y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (* 1 1) into 1 0.093 * [backup-simplify]: Simplify (+ 1 0) into 1 0.093 * [taylor]: Taking taylor expansion of 1 in y 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify 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 (+ 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 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.094 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.094 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.094 * [taylor]: Taking taylor expansion of x in y 0.094 * [backup-simplify]: Simplify x into x 0.094 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.094 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 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 0.095 * [backup-simplify]: Simplify (/ 1 1) into 1 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (* 1 1) into 1 0.095 * [backup-simplify]: Simplify (/ 1 1) into 1 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [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)) (/ 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 (/ 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) 0.097 * [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 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.103 * [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 0 into 0 0.103 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.103 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.103 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.103 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.103 * [taylor]: Taking taylor expansion of x in y 0.103 * [backup-simplify]: Simplify x into x 0.103 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.103 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (* 1 1) into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [backup-simplify]: Simplify y into y 0.104 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.104 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (* 1 1) into 1 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [backup-simplify]: Simplify y into y 0.105 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.105 * [backup-simplify]: Simplify (+ 1 0) into 1 0.105 * [taylor]: Taking taylor expansion of 1 in y 0.105 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 1 into 1 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.108 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.108 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 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 * [backup-simplify]: Simplify (- 1) into -1 0.108 * [backup-simplify]: Simplify -1 into -1 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.111 * [backup-simplify]: Simplify (- 0) 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 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.115 * [backup-simplify]: Simplify (- 0) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.116 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.116 * [backup-simplify]: Simplify (+ (+ (* x x) y) y) into (+ (pow x 2) (* 2 y)) 0.116 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.116 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.116 * [taylor]: Taking taylor expansion of x in y 0.116 * [backup-simplify]: Simplify x into x 0.116 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.116 * [taylor]: Taking taylor expansion of 2 in y 0.116 * [backup-simplify]: Simplify 2 into 2 0.116 * [taylor]: Taking taylor expansion of y in y 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.117 * [taylor]: Taking taylor expansion of 2 in x 0.117 * [backup-simplify]: Simplify 2 into 2 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [backup-simplify]: Simplify y into y 0.117 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.117 * [taylor]: Taking taylor expansion of 2 in x 0.117 * [backup-simplify]: Simplify 2 into 2 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [backup-simplify]: Simplify y into y 0.117 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.117 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.117 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.117 * [taylor]: Taking taylor expansion of 2 in y 0.117 * [backup-simplify]: Simplify 2 into 2 0.117 * [taylor]: Taking taylor expansion of y in y 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (* 2 0) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) 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 0.119 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.119 * [backup-simplify]: Simplify 2 into 2 0.120 * [backup-simplify]: Simplify (* 1 1) into 1 0.120 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 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 0.122 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.124 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 0.126 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.126 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [backup-simplify]: Simplify x into x 0.126 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.127 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.127 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.127 * [taylor]: Taking taylor expansion of 2 in y 0.127 * [backup-simplify]: Simplify 2 into 2 0.127 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (/ 1 1) into 1 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (* 1 1) into 1 0.128 * [backup-simplify]: Simplify (/ 1 1) into 1 0.128 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.128 * [taylor]: Taking taylor expansion of 2 in x 0.128 * [backup-simplify]: Simplify 2 into 2 0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [backup-simplify]: Simplify y into y 0.128 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 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 * [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) 0.130 * [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 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 1 into 1 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.134 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.134 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.134 * [taylor]: Taking taylor expansion of 2 in y 0.134 * [backup-simplify]: Simplify 2 into 2 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.134 * [taylor]: Taking taylor expansion of y in y 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 0.135 * [backup-simplify]: Simplify (* 2 1) into 2 0.135 * [backup-simplify]: Simplify 2 into 2 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.137 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.143 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 0.144 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.144 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.144 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.144 * [taylor]: Taking taylor expansion of x in y 0.144 * [backup-simplify]: Simplify x into x 0.144 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.144 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.144 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.144 * [taylor]: Taking taylor expansion of 2 in y 0.144 * [backup-simplify]: Simplify 2 into 2 0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (* 1 1) into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.146 * [taylor]: Taking taylor expansion of 2 in x 0.146 * [backup-simplify]: Simplify 2 into 2 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.146 * [backup-simplify]: Simplify y into y 0.146 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.146 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (* 1 1) into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.147 * [taylor]: Taking taylor expansion of 2 in x 0.147 * [backup-simplify]: Simplify 2 into 2 0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [backup-simplify]: Simplify y into y 0.147 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.147 * [backup-simplify]: Simplify (+ 1 0) into 1 0.147 * [taylor]: Taking taylor expansion of 1 in y 0.147 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.151 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 0.151 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 0.151 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.151 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.151 * [taylor]: Taking taylor expansion of 2 in y 0.151 * [backup-simplify]: Simplify 2 into 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 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [backup-simplify]: Simplify (* 2 1) into 2 0.153 * [backup-simplify]: Simplify (- 2) into -2 0.153 * [backup-simplify]: Simplify -2 into -2 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.155 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.158 * [backup-simplify]: Simplify (- 0) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.166 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 0.168 * * * [progress]: simplifying candidates 0.169 * [simplify]: Simplifying: (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (* (* (exp (* x x)) (exp y)) (exp y)) (* (exp (+ (* x x) y)) (exp y)) (log (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (* (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))) (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)) (- (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ y y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.170 * * [simplify]: Extracting # 0 : cost 0 0.170 * * [simplify]: Extracting # 1 : cost 0 0.170 * * [simplify]: Extracting # 2 : cost 0 0.170 * * [simplify]: Extracting # 3 : cost 0 0.170 * * [simplify]: Extracting # 4 : cost 0 0.171 * * [simplify]: Extracting # 5 : cost 0 0.171 * * [simplify]: Extracting # 6 : cost 0 0.171 * * [simplify]: iteration 0 : 48 enodes (cost 310 ) 0.193 * * [simplify]: Extracting # 0 : cost 0 0.193 * * [simplify]: Extracting # 1 : cost 0 0.193 * * [simplify]: Extracting # 2 : cost 0 0.194 * * [simplify]: Extracting # 3 : cost 0 0.194 * * [simplify]: Extracting # 4 : cost 0 0.194 * * [simplify]: iteration 1 : 162 enodes (cost 303 ) 0.270 * * [simplify]: Extracting # 0 : cost 0 0.271 * * [simplify]: Extracting # 1 : cost 0 0.272 * * [simplify]: Extracting # 2 : cost 0 0.274 * * [simplify]: Extracting # 3 : cost 0 0.275 * * [simplify]: Extracting # 4 : cost 0 0.276 * * [simplify]: iteration 2 : 657 enodes (cost 262 ) 1.279 * * [simplify]: Extracting # 0 : cost 0 1.292 * * [simplify]: Extracting # 1 : cost 0 1.303 * * [simplify]: Extracting # 2 : cost 0 1.313 * * [simplify]: Extracting # 3 : cost 0 1.327 * * [simplify]: Extracting # 4 : cost 0 1.337 * * [simplify]: iteration 3 : 4947 enodes (cost 252 ) 4.504 * * [simplify]: Extracting # 0 : cost 0 4.515 * * [simplify]: Extracting # 1 : cost 0 4.525 * * [simplify]: Extracting # 2 : cost 0 4.533 * * [simplify]: iteration done: 5000 enodes (cost 252 ) 4.533 * [simplify]: Simplified to: (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow x 6) (pow y 3)) (+ (* y (- y (* x x))) (pow x 4)) (- (pow x 4) (* y y)) (- (* x x) y) (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 (+ (* x x) y) 3) (pow y 3)) (+ (* (+ (* x x) y) (* x x)) (* y y)) (* (* x x) (+ (+ (* x x) y) y)) (* x x) (+ y (+ (* x x) y)) (* 2 y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ y (+ (* x x) y)) (+ y (+ (* x x) y)) (+ y (+ (* x x) y)) 4.533 * * * [progress]: adding candidates to table 4.614 * * [progress]: iteration 2 / 4 4.615 * * * [progress]: picking best candidate 4.617 * * * * [pick]: Picked # 4.617 * * * [progress]: localizing error 4.628 * * * [progress]: generating rewritten candidates 4.628 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.643 * * * [progress]: generating series expansions 4.643 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.643 * [backup-simplify]: Simplify (+ (* x x) (* 2 y)) into (+ (pow x 2) (* 2 y)) 4.643 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 4.643 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 4.643 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.643 * [taylor]: Taking taylor expansion of x in y 4.643 * [backup-simplify]: Simplify x into x 4.643 * [taylor]: Taking taylor expansion of (* 2 y) in y 4.644 * [taylor]: Taking taylor expansion of 2 in y 4.644 * [backup-simplify]: Simplify 2 into 2 4.644 * [taylor]: Taking taylor expansion of y in y 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 1 into 1 4.644 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 4.644 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.644 * [taylor]: Taking taylor expansion of x in x 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 1 into 1 4.644 * [taylor]: Taking taylor expansion of (* 2 y) in x 4.644 * [taylor]: Taking taylor expansion of 2 in x 4.644 * [backup-simplify]: Simplify 2 into 2 4.644 * [taylor]: Taking taylor expansion of y in x 4.644 * [backup-simplify]: Simplify y into y 4.644 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 4.644 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.644 * [taylor]: Taking taylor expansion of x in x 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 1 into 1 4.644 * [taylor]: Taking taylor expansion of (* 2 y) in x 4.644 * [taylor]: Taking taylor expansion of 2 in x 4.644 * [backup-simplify]: Simplify 2 into 2 4.644 * [taylor]: Taking taylor expansion of y in x 4.644 * [backup-simplify]: Simplify y into y 4.644 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 4.644 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 4.644 * [taylor]: Taking taylor expansion of (* 2 y) in y 4.644 * [taylor]: Taking taylor expansion of 2 in y 4.644 * [backup-simplify]: Simplify 2 into 2 4.644 * [taylor]: Taking taylor expansion of y in y 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 1 into 1 4.645 * [backup-simplify]: Simplify (* 2 0) into 0 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 4.645 * [backup-simplify]: Simplify (+ 0 0) into 0 4.645 * [taylor]: Taking taylor expansion of 0 in y 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 4.646 * [backup-simplify]: Simplify 2 into 2 4.646 * [backup-simplify]: Simplify (* 1 1) into 1 4.646 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 4.647 * [backup-simplify]: Simplify (+ 1 0) into 1 4.647 * [taylor]: Taking taylor expansion of 1 in y 4.647 * [backup-simplify]: Simplify 1 into 1 4.647 * [backup-simplify]: Simplify 1 into 1 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 4.647 * [backup-simplify]: Simplify 0 into 0 4.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.648 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.649 * [backup-simplify]: Simplify (+ 0 0) into 0 4.649 * [taylor]: Taking taylor expansion of 0 in y 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.649 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 4.650 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* 2 (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 4.650 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 4.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 4.650 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.650 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.650 * [taylor]: Taking taylor expansion of x in y 4.650 * [backup-simplify]: Simplify x into x 4.650 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.650 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.650 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.650 * [taylor]: Taking taylor expansion of 2 in y 4.650 * [backup-simplify]: Simplify 2 into 2 4.650 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.650 * [taylor]: Taking taylor expansion of y in y 4.650 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify 1 into 1 4.650 * [backup-simplify]: Simplify (/ 1 1) into 1 4.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 4.650 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.650 * [taylor]: Taking taylor expansion of x in x 4.651 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify 1 into 1 4.651 * [backup-simplify]: Simplify (* 1 1) into 1 4.651 * [backup-simplify]: Simplify (/ 1 1) into 1 4.651 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 4.651 * [taylor]: Taking taylor expansion of 2 in x 4.651 * [backup-simplify]: Simplify 2 into 2 4.651 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.651 * [taylor]: Taking taylor expansion of y in x 4.651 * [backup-simplify]: Simplify y into y 4.651 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 4.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.651 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.651 * [taylor]: Taking taylor expansion of x in x 4.651 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify 1 into 1 4.651 * [backup-simplify]: Simplify (* 1 1) into 1 4.652 * [backup-simplify]: Simplify (/ 1 1) into 1 4.652 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 4.652 * [taylor]: Taking taylor expansion of 2 in x 4.652 * [backup-simplify]: Simplify 2 into 2 4.652 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.652 * [taylor]: Taking taylor expansion of y in x 4.652 * [backup-simplify]: Simplify y into y 4.652 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.652 * [backup-simplify]: Simplify (+ 1 0) into 1 4.652 * [taylor]: Taking taylor expansion of 1 in y 4.652 * [backup-simplify]: Simplify 1 into 1 4.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.653 * [backup-simplify]: Simplify (+ 0 0) into 0 4.653 * [taylor]: Taking taylor expansion of 0 in y 4.653 * [backup-simplify]: Simplify 0 into 0 4.653 * [backup-simplify]: Simplify 1 into 1 4.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.654 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 4.654 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 4.654 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.654 * [taylor]: Taking taylor expansion of 2 in y 4.655 * [backup-simplify]: Simplify 2 into 2 4.655 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.655 * [taylor]: Taking taylor expansion of y in y 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify 1 into 1 4.655 * [backup-simplify]: Simplify (/ 1 1) into 1 4.655 * [backup-simplify]: Simplify (* 2 1) into 2 4.655 * [backup-simplify]: Simplify 2 into 2 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify 0 into 0 4.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.657 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 4.657 * [backup-simplify]: Simplify (+ 0 0) into 0 4.657 * [taylor]: Taking taylor expansion of 0 in y 4.657 * [backup-simplify]: Simplify 0 into 0 4.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.658 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.658 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.660 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.660 * [backup-simplify]: Simplify (+ 0 0) into 0 4.660 * [taylor]: Taking taylor expansion of 0 in y 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 4.660 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* 2 (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 4.660 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 4.660 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 4.660 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.661 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.661 * [taylor]: Taking taylor expansion of x in y 4.661 * [backup-simplify]: Simplify x into x 4.661 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.661 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.661 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.661 * [taylor]: Taking taylor expansion of 2 in y 4.661 * [backup-simplify]: Simplify 2 into 2 4.661 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.661 * [taylor]: Taking taylor expansion of y in y 4.661 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify 1 into 1 4.661 * [backup-simplify]: Simplify (/ 1 1) into 1 4.661 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 4.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.661 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.661 * [taylor]: Taking taylor expansion of x in x 4.661 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify 1 into 1 4.661 * [backup-simplify]: Simplify (* 1 1) into 1 4.662 * [backup-simplify]: Simplify (/ 1 1) into 1 4.662 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 4.662 * [taylor]: Taking taylor expansion of 2 in x 4.662 * [backup-simplify]: Simplify 2 into 2 4.662 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.662 * [taylor]: Taking taylor expansion of y in x 4.662 * [backup-simplify]: Simplify y into y 4.662 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.662 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 4.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.662 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.662 * [taylor]: Taking taylor expansion of x in x 4.662 * [backup-simplify]: Simplify 0 into 0 4.662 * [backup-simplify]: Simplify 1 into 1 4.662 * [backup-simplify]: Simplify (* 1 1) into 1 4.666 * [backup-simplify]: Simplify (/ 1 1) into 1 4.666 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 4.666 * [taylor]: Taking taylor expansion of 2 in x 4.666 * [backup-simplify]: Simplify 2 into 2 4.666 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.666 * [taylor]: Taking taylor expansion of y in x 4.666 * [backup-simplify]: Simplify y into y 4.666 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.666 * [backup-simplify]: Simplify (+ 1 0) into 1 4.666 * [taylor]: Taking taylor expansion of 1 in y 4.666 * [backup-simplify]: Simplify 1 into 1 4.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.667 * [backup-simplify]: Simplify (+ 0 0) into 0 4.667 * [taylor]: Taking taylor expansion of 0 in y 4.667 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify 1 into 1 4.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.669 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 4.669 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 4.669 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 4.669 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 4.669 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.669 * [taylor]: Taking taylor expansion of 2 in y 4.669 * [backup-simplify]: Simplify 2 into 2 4.669 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.669 * [taylor]: Taking taylor expansion of y in y 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify 1 into 1 4.669 * [backup-simplify]: Simplify (/ 1 1) into 1 4.670 * [backup-simplify]: Simplify (* 2 1) into 2 4.670 * [backup-simplify]: Simplify (- 2) into -2 4.670 * [backup-simplify]: Simplify -2 into -2 4.670 * [backup-simplify]: Simplify 0 into 0 4.670 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.673 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 4.673 * [backup-simplify]: Simplify (- 0) into 0 4.674 * [backup-simplify]: Simplify (+ 0 0) into 0 4.674 * [taylor]: Taking taylor expansion of 0 in y 4.674 * [backup-simplify]: Simplify 0 into 0 4.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.675 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.675 * [backup-simplify]: Simplify (- 0) into 0 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.679 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.679 * [backup-simplify]: Simplify (- 0) into 0 4.679 * [backup-simplify]: Simplify (+ 0 0) into 0 4.679 * [taylor]: Taking taylor expansion of 0 in y 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify 0 into 0 4.680 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 4.680 * * * [progress]: simplifying candidates 4.681 * [simplify]: Simplifying: (* (exp (* x x)) (exp (* 2 y))) (log (+ (* x x) (* 2 y))) (exp (+ (* x x) (* 2 y))) (* (cbrt (+ (* x x) (* 2 y))) (cbrt (+ (* x x) (* 2 y)))) (cbrt (+ (* x x) (* 2 y))) (* (* (+ (* x x) (* 2 y)) (+ (* x x) (* 2 y))) (+ (* x x) (* 2 y))) (sqrt (+ (* x x) (* 2 y))) (sqrt (+ (* x x) (* 2 y))) (+ (pow (* x x) 3) (pow (* 2 y) 3)) (+ (* (* x x) (* x x)) (- (* (* 2 y) (* 2 y)) (* (* x x) (* 2 y)))) (- (* (* x x) (* x x)) (* (* 2 y) (* 2 y))) (- (* x x) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 4.681 * * [simplify]: Extracting # 0 : cost 0 4.681 * * [simplify]: Extracting # 1 : cost 0 4.681 * * [simplify]: Extracting # 2 : cost 0 4.681 * * [simplify]: Extracting # 3 : cost 0 4.682 * * [simplify]: Extracting # 4 : cost 0 4.682 * * [simplify]: Extracting # 5 : cost 0 4.682 * * [simplify]: iteration 0 : 29 enodes (cost 166 ) 4.696 * * [simplify]: Extracting # 0 : cost 0 4.697 * * [simplify]: Extracting # 1 : cost 0 4.697 * * [simplify]: Extracting # 2 : cost 0 4.697 * * [simplify]: Extracting # 3 : cost 0 4.697 * * [simplify]: Extracting # 4 : cost 0 4.698 * * [simplify]: iteration 1 : 112 enodes (cost 159 ) 4.753 * * [simplify]: Extracting # 0 : cost 0 4.753 * * [simplify]: Extracting # 1 : cost 0 4.754 * * [simplify]: Extracting # 2 : cost 0 4.754 * * [simplify]: Extracting # 3 : cost 0 4.755 * * [simplify]: Extracting # 4 : cost 0 4.755 * * [simplify]: iteration 2 : 516 enodes (cost 135 ) 5.438 * * [simplify]: Extracting # 0 : cost 0 5.443 * * [simplify]: Extracting # 1 : cost 0 5.447 * * [simplify]: Extracting # 2 : cost 0 5.453 * * [simplify]: Extracting # 3 : cost 0 5.460 * * [simplify]: Extracting # 4 : cost 0 5.466 * * [simplify]: iteration 3 : 3221 enodes (cost 135 ) 7.180 * * [simplify]: Extracting # 0 : cost 0 7.185 * * [simplify]: Extracting # 1 : cost 0 7.191 * * [simplify]: Extracting # 2 : cost 0 7.197 * * [simplify]: Extracting # 3 : cost 0 7.202 * * [simplify]: iteration done: 5002 enodes (cost 135 ) 7.202 * [simplify]: Simplified to: (exp (+ (* x x) (* 2 y))) (log (+ (* x x) (* 2 y))) (exp (+ (* x x) (* 2 y))) (* (cbrt (+ (* x x) (* 2 y))) (cbrt (+ (* x x) (* 2 y)))) (cbrt (+ (* x x) (* 2 y))) (pow (+ (* x x) (* 2 y)) 3) (sqrt (+ (* x x) (* 2 y))) (sqrt (+ (* x x) (* 2 y))) (+ (pow (* 2 y) 3) (pow x 6)) (+ (pow x 4) (* (* 2 y) (- (* 2 y) (* x x)))) (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y)) (+ (* x x) (* 2 y)) (+ (* x x) (* 2 y)) (+ (* x x) (* 2 y)) 7.202 * * * [progress]: adding candidates to table 7.252 * [progress]: [Phase 3 of 3] Extracting. 7.252 * * [regime]: Finding splitpoints for: (# #) 7.252 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (+ (+ (* x x) y) y) y x) 7.252 * * * * [regimes]: Trying to branch on (* x x) from (# #) 7.266 * * * * [regimes]: Trying to branch on (+ (+ (* x x) y) y) from (# #) 7.277 * * * * [regimes]: Trying to branch on y from (# #) 7.291 * * * * [regimes]: Trying to branch on x from (# #) 7.312 * * * [regime]: Found split indices: #