27.152 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying: (+ (+ (* x x) y) y) 0.017 * * [simplify]: Extracting # 0 : cost 1 inf + 0 0.017 * * [simplify]: Extracting # 1 : cost 3 inf + 0 0.017 * * [simplify]: Extracting # 2 : cost 3 inf + 1 0.017 * * [simplify]: Extracting # 3 : cost 4 inf + 1 0.017 * * [simplify]: Extracting # 4 : cost 3 inf + 2 0.017 * * [simplify]: Extracting # 5 : cost 0 inf + 247 0.017 * * [simplify]: iteration 0 : 5 enodes (cost 122 ) 0.018 * * [simplify]: Extracting # 0 : cost 0 inf + 247 0.018 * * [simplify]: Extracting # 1 : cost 1 inf + 247 0.018 * * [simplify]: Extracting # 2 : cost 0 inf + 288 0.018 * * [simplify]: iteration 1 : 9 enodes (cost 122 ) 0.019 * * [simplify]: Extracting # 0 : cost 0 inf + 288 0.019 * * [simplify]: Extracting # 1 : cost 1 inf + 288 0.020 * * [simplify]: Extracting # 2 : cost 0 inf + 289 0.020 * * [simplify]: iteration 2 : 12 enodes (cost 122 ) 0.021 * * [simplify]: Extracting # 0 : cost 0 inf + 289 0.021 * * [simplify]: iteration 3 : 13 enodes (cost 122 ) 0.023 * * [simplify]: Extracting # 0 : cost 0 inf + 289 0.023 * * [simplify]: iteration done: 13 enodes (cost 122 ) 0.023 * [simplify]: Simplified to: (+ (+ (* x x) y) y) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.030 * * * * [pick]: Picked # 0.030 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.088 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.094 * * * [progress]: generating series expansions 0.094 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.094 * [backup-simplify]: Simplify (+ (+ (* x x) y) y) into (+ (pow x 2) (* 2 y)) 0.094 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.094 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) 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 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.094 * [taylor]: Taking taylor expansion of 2 in y 0.095 * [backup-simplify]: Simplify 2 into 2 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 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) 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 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.095 * [taylor]: Taking taylor expansion of 2 in x 0.095 * [backup-simplify]: Simplify 2 into 2 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [backup-simplify]: Simplify y into y 0.095 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) 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 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.095 * [taylor]: Taking taylor expansion of 2 in x 0.095 * [backup-simplify]: Simplify 2 into 2 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [backup-simplify]: Simplify y into y 0.095 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.095 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.095 * [taylor]: Taking taylor expansion of (* 2 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 y in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (* 2 0) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.097 * [backup-simplify]: Simplify 2 into 2 0.097 * [backup-simplify]: Simplify (* 1 1) into 1 0.098 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.098 * [backup-simplify]: Simplify (+ 1 0) into 1 0.098 * [taylor]: Taking taylor expansion of 1 in y 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.100 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 0.101 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.101 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.101 * [taylor]: Taking taylor expansion of x in y 0.101 * [backup-simplify]: Simplify x into x 0.101 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.102 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.102 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.102 * [taylor]: Taking taylor expansion of 2 in y 0.102 * [backup-simplify]: Simplify 2 into 2 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (* 1 1) into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.111 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.111 * [taylor]: Taking taylor expansion of 2 in x 0.111 * [backup-simplify]: Simplify 2 into 2 0.111 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [backup-simplify]: Simplify y into y 0.111 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (* 1 1) into 1 0.112 * [backup-simplify]: Simplify (/ 1 1) into 1 0.112 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.112 * [taylor]: Taking taylor expansion of 2 in x 0.112 * [backup-simplify]: Simplify 2 into 2 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [backup-simplify]: Simplify y into y 0.112 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.112 * [backup-simplify]: Simplify (+ 1 0) into 1 0.112 * [taylor]: Taking taylor expansion of 1 in y 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.114 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.114 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.115 * [taylor]: Taking taylor expansion of 2 in y 0.115 * [backup-simplify]: Simplify 2 into 2 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (/ 1 1) into 1 0.115 * [backup-simplify]: Simplify (* 2 1) into 2 0.115 * [backup-simplify]: Simplify 2 into 2 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.117 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.120 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 0.121 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.121 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.121 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [backup-simplify]: Simplify x into x 0.121 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.121 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.121 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.121 * [taylor]: Taking taylor expansion of 2 in y 0.121 * [backup-simplify]: Simplify 2 into 2 0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (* 1 1) into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.122 * [taylor]: Taking taylor expansion of 2 in x 0.122 * [backup-simplify]: Simplify 2 into 2 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [backup-simplify]: Simplify y into y 0.122 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.123 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 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 0.123 * [backup-simplify]: Simplify (* 1 1) into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.123 * [taylor]: Taking taylor expansion of 2 in x 0.123 * [backup-simplify]: Simplify 2 into 2 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [backup-simplify]: Simplify y into y 0.123 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.124 * [backup-simplify]: Simplify (+ 1 0) into 1 0.124 * [taylor]: Taking taylor expansion of 1 in y 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.126 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 0.126 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 0.126 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.126 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.126 * [taylor]: Taking taylor expansion of 2 in y 0.126 * [backup-simplify]: Simplify 2 into 2 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (/ 1 1) into 1 0.127 * [backup-simplify]: Simplify (* 2 1) into 2 0.127 * [backup-simplify]: Simplify (- 2) into -2 0.127 * [backup-simplify]: Simplify -2 into -2 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.129 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.129 * [backup-simplify]: Simplify (- 0) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ (* 2 0) (* 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 0.130 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.132 * [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 0.133 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 0.135 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.135 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.135 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.135 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.135 * [taylor]: Taking taylor expansion of x in y 0.135 * [backup-simplify]: Simplify x into x 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [backup-simplify]: Simplify y into y 0.135 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [backup-simplify]: Simplify y into y 0.136 * [backup-simplify]: Simplify (+ 0 y) into y 0.136 * [taylor]: Taking taylor expansion of y in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (* 1 1) into 1 0.137 * [backup-simplify]: Simplify (+ 1 0) into 1 0.137 * [taylor]: Taking taylor expansion of 1 in y 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) 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 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.139 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.139 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.139 * [taylor]: Taking taylor expansion of x in y 0.139 * [backup-simplify]: Simplify x into x 0.139 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.139 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.139 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (* 1 1) into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [backup-simplify]: Simplify y into y 0.141 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (* 1 1) into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [backup-simplify]: Simplify y into y 0.142 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.142 * [backup-simplify]: Simplify (+ 1 0) into 1 0.143 * [taylor]: Taking taylor expansion of 1 in y 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) 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 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [taylor]: Taking taylor expansion of 0 in y 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.154 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.154 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.154 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.154 * [taylor]: Taking taylor expansion of x in y 0.154 * [backup-simplify]: Simplify x into x 0.154 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.154 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (* 1 1) into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.156 * [backup-simplify]: Simplify y into y 0.156 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.156 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (* 1 1) into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.157 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.157 * [backup-simplify]: Simplify y into y 0.157 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.158 * [backup-simplify]: Simplify (+ 1 0) into 1 0.158 * [taylor]: Taking taylor expansion of 1 in y 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.162 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.162 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [backup-simplify]: Simplify (- 1) into -1 0.162 * [backup-simplify]: Simplify -1 into -1 0.162 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.165 * [backup-simplify]: Simplify (- 0) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.169 * [backup-simplify]: Simplify (- 0) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [taylor]: Taking taylor expansion of 0 in y 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.170 * * * [progress]: simplifying candidates 0.171 * [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) 0.172 * * [simplify]: Extracting # 0 : cost 27 inf + 0 0.172 * * [simplify]: Extracting # 1 : cost 43 inf + 0 0.172 * * [simplify]: Extracting # 2 : cost 45 inf + 113 0.172 * * [simplify]: Extracting # 3 : cost 38 inf + 662 0.173 * * [simplify]: Extracting # 4 : cost 22 inf + 3313 0.174 * * [simplify]: Extracting # 5 : cost 3 inf + 7385 0.175 * * [simplify]: Extracting # 6 : cost 0 inf + 8031 0.176 * * [simplify]: iteration 0 : 48 enodes (cost 7113 ) 0.194 * * [simplify]: Extracting # 0 : cost 0 inf + 8031 0.196 * * [simplify]: Extracting # 1 : cost 49 inf + 7132 0.198 * * [simplify]: Extracting # 2 : cost 8 inf + 12117 0.202 * * [simplify]: Extracting # 3 : cost 4 inf + 12212 0.205 * * [simplify]: Extracting # 4 : cost 0 inf + 13181 0.208 * * [simplify]: iteration 1 : 163 enodes (cost 5345 ) 0.288 * * [simplify]: Extracting # 0 : cost 0 inf + 13181 0.294 * * [simplify]: Extracting # 1 : cost 183 inf + 9305 0.305 * * [simplify]: Extracting # 2 : cost 8 inf + 32465 0.312 * * [simplify]: Extracting # 3 : cost 1 inf + 33629 0.318 * * [simplify]: Extracting # 4 : cost 0 inf + 33951 0.325 * * [simplify]: iteration 2 : 737 enodes (cost 5235 ) 0.585 * * [simplify]: Extracting # 0 : cost 0 inf + 33951 0.597 * * [simplify]: Extracting # 1 : cost 2337 inf + 30789 0.685 * * [simplify]: Extracting # 2 : cost 113 inf + 383973 0.813 * * [simplify]: Extracting # 3 : cost 37 inf + 393875 0.918 * * [simplify]: Extracting # 4 : cost 0 inf + 404518 1.055 * * [simplify]: iteration done: 5001 enodes (cost 5114 ) 1.055 * [simplify]: Simplified to: (exp (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (log (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (* (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (* y (* y y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y))) (+ (* y y) (* (+ (* x x) y) (* x x))) (* (* x x) (+ (+ (* x x) y) y)) (* x x) (+ (+ (* x x) y) y) (+ y y) (exp (+ (* x x) 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)) (+ (* y (* y y)) (* (* x x) (* (* x x) (* x x)))) (+ (* (* x x) (* x x)) (* y (- y (* x x)))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 1.057 * * * [progress]: adding candidates to table 1.181 * * [progress]: iteration 2 / 4 1.181 * * * [progress]: picking best candidate 1.185 * * * * [pick]: Picked # 1.185 * * * [progress]: localizing error 1.192 * * * [progress]: generating rewritten candidates 1.192 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.209 * * * [progress]: generating series expansions 1.209 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.209 * [backup-simplify]: Simplify (+ (* x x) (+ y y)) into (+ (pow x 2) (* 2 y)) 1.209 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 1.209 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 1.209 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.209 * [taylor]: Taking taylor expansion of x in y 1.209 * [backup-simplify]: Simplify x into x 1.209 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.209 * [taylor]: Taking taylor expansion of 2 in y 1.209 * [backup-simplify]: Simplify 2 into 2 1.209 * [taylor]: Taking taylor expansion of y in y 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify 1 into 1 1.209 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 1.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify 1 into 1 1.209 * [taylor]: Taking taylor expansion of (* 2 y) in x 1.209 * [taylor]: Taking taylor expansion of 2 in x 1.209 * [backup-simplify]: Simplify 2 into 2 1.209 * [taylor]: Taking taylor expansion of y in x 1.209 * [backup-simplify]: Simplify y into y 1.209 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 1.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify 1 into 1 1.209 * [taylor]: Taking taylor expansion of (* 2 y) in x 1.209 * [taylor]: Taking taylor expansion of 2 in x 1.209 * [backup-simplify]: Simplify 2 into 2 1.210 * [taylor]: Taking taylor expansion of y in x 1.210 * [backup-simplify]: Simplify y into y 1.210 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 1.210 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 1.210 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.210 * [taylor]: Taking taylor expansion of 2 in y 1.210 * [backup-simplify]: Simplify 2 into 2 1.210 * [taylor]: Taking taylor expansion of y in y 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify 1 into 1 1.210 * [backup-simplify]: Simplify (* 2 0) into 0 1.210 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 1.211 * [backup-simplify]: Simplify (+ 0 0) into 0 1.211 * [taylor]: Taking taylor expansion of 0 in y 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.211 * [backup-simplify]: Simplify 2 into 2 1.212 * [backup-simplify]: Simplify (* 1 1) into 1 1.212 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 1.213 * [backup-simplify]: Simplify (+ 1 0) into 1 1.213 * [taylor]: Taking taylor expansion of 1 in y 1.213 * [backup-simplify]: Simplify 1 into 1 1.213 * [backup-simplify]: Simplify 1 into 1 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1.213 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.214 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.215 * [backup-simplify]: Simplify (+ 0 0) into 0 1.215 * [taylor]: Taking taylor expansion of 0 in y 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 1.217 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (+ (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1.217 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 1.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 1.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.217 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.217 * [taylor]: Taking taylor expansion of x in y 1.217 * [backup-simplify]: Simplify x into x 1.217 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.217 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.217 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.217 * [taylor]: Taking taylor expansion of 2 in y 1.217 * [backup-simplify]: Simplify 2 into 2 1.217 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.217 * [taylor]: Taking taylor expansion of y in y 1.217 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify 1 into 1 1.218 * [backup-simplify]: Simplify (/ 1 1) into 1 1.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 1 into 1 1.218 * [backup-simplify]: Simplify (* 1 1) into 1 1.219 * [backup-simplify]: Simplify (/ 1 1) into 1 1.219 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.219 * [taylor]: Taking taylor expansion of 2 in x 1.219 * [backup-simplify]: Simplify 2 into 2 1.219 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.219 * [taylor]: Taking taylor expansion of y in x 1.219 * [backup-simplify]: Simplify y into y 1.219 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.219 * [taylor]: Taking taylor expansion of x in x 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 1 into 1 1.220 * [backup-simplify]: Simplify (* 1 1) into 1 1.220 * [backup-simplify]: Simplify (/ 1 1) into 1 1.220 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.220 * [taylor]: Taking taylor expansion of 2 in x 1.220 * [backup-simplify]: Simplify 2 into 2 1.220 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.220 * [taylor]: Taking taylor expansion of y in x 1.220 * [backup-simplify]: Simplify y into y 1.220 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.221 * [backup-simplify]: Simplify (+ 1 0) into 1 1.221 * [taylor]: Taking taylor expansion of 1 in y 1.221 * [backup-simplify]: Simplify 1 into 1 1.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.223 * [backup-simplify]: Simplify (+ 0 0) into 0 1.223 * [taylor]: Taking taylor expansion of 0 in y 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 1 into 1 1.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.225 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 1.225 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 1.225 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.225 * [taylor]: Taking taylor expansion of 2 in y 1.225 * [backup-simplify]: Simplify 2 into 2 1.225 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.225 * [taylor]: Taking taylor expansion of y in y 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify 1 into 1 1.225 * [backup-simplify]: Simplify (/ 1 1) into 1 1.226 * [backup-simplify]: Simplify (* 2 1) into 2 1.226 * [backup-simplify]: Simplify 2 into 2 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.229 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 1.229 * [backup-simplify]: Simplify (+ 0 0) into 0 1.229 * [taylor]: Taking taylor expansion of 0 in y 1.229 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.231 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.234 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.234 * [backup-simplify]: Simplify (+ 0 0) into 0 1.234 * [taylor]: Taking taylor expansion of 0 in y 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 1.235 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1.235 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 1.235 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 1.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.235 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.235 * [taylor]: Taking taylor expansion of x in y 1.235 * [backup-simplify]: Simplify x into x 1.235 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.236 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.236 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.236 * [taylor]: Taking taylor expansion of 2 in y 1.236 * [backup-simplify]: Simplify 2 into 2 1.236 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.236 * [taylor]: Taking taylor expansion of y in y 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify 1 into 1 1.236 * [backup-simplify]: Simplify (/ 1 1) into 1 1.236 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.236 * [taylor]: Taking taylor expansion of x in x 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify 1 into 1 1.237 * [backup-simplify]: Simplify (* 1 1) into 1 1.237 * [backup-simplify]: Simplify (/ 1 1) into 1 1.237 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.237 * [taylor]: Taking taylor expansion of 2 in x 1.237 * [backup-simplify]: Simplify 2 into 2 1.237 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.237 * [taylor]: Taking taylor expansion of y in x 1.237 * [backup-simplify]: Simplify y into y 1.237 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.237 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.238 * [taylor]: Taking taylor expansion of x in x 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 1 into 1 1.238 * [backup-simplify]: Simplify (* 1 1) into 1 1.238 * [backup-simplify]: Simplify (/ 1 1) into 1 1.238 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.238 * [taylor]: Taking taylor expansion of 2 in x 1.238 * [backup-simplify]: Simplify 2 into 2 1.238 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.239 * [taylor]: Taking taylor expansion of y in x 1.239 * [backup-simplify]: Simplify y into y 1.239 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.239 * [backup-simplify]: Simplify (+ 1 0) into 1 1.239 * [taylor]: Taking taylor expansion of 1 in y 1.239 * [backup-simplify]: Simplify 1 into 1 1.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.241 * [backup-simplify]: Simplify (+ 0 0) into 0 1.241 * [taylor]: Taking taylor expansion of 0 in y 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify 1 into 1 1.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.248 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 1.248 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 1.248 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 1.248 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 1.248 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.249 * [taylor]: Taking taylor expansion of 2 in y 1.249 * [backup-simplify]: Simplify 2 into 2 1.249 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.249 * [taylor]: Taking taylor expansion of y in y 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 1 into 1 1.249 * [backup-simplify]: Simplify (/ 1 1) into 1 1.250 * [backup-simplify]: Simplify (* 2 1) into 2 1.250 * [backup-simplify]: Simplify (- 2) into -2 1.250 * [backup-simplify]: Simplify -2 into -2 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.253 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 1.253 * [backup-simplify]: Simplify (- 0) into 0 1.254 * [backup-simplify]: Simplify (+ 0 0) into 0 1.254 * [taylor]: Taking taylor expansion of 0 in y 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.255 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.256 * [backup-simplify]: Simplify (- 0) into 0 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.259 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.260 * [backup-simplify]: Simplify (- 0) into 0 1.260 * [backup-simplify]: Simplify (+ 0 0) into 0 1.260 * [taylor]: Taking taylor expansion of 0 in y 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 1.261 * * * [progress]: simplifying candidates 1.261 * [simplify]: Simplifying: (* (exp (* x x)) (* (exp y) (exp y))) (* (exp (* x x)) (exp (+ y y))) (log (+ (* x x) (+ y y))) (exp (+ (* x x) (+ y y))) (* (cbrt (+ (* x x) (+ y y))) (cbrt (+ (* x x) (+ y y)))) (cbrt (+ (* x x) (+ y y))) (* (* (+ (* x x) (+ y y)) (+ (* x x) (+ y y))) (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))) (+ (pow (* x x) 3) (pow (+ y y) 3)) (+ (* (* x x) (* x x)) (- (* (+ y y) (+ y y)) (* (* x x) (+ y y)))) (- (* (* x x) (* x x)) (* (+ y y) (+ y y))) (- (* x x) (+ y y)) (+ (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 1.262 * * [simplify]: Extracting # 0 : cost 14 inf + 0 1.262 * * [simplify]: Extracting # 1 : cost 29 inf + 0 1.262 * * [simplify]: Extracting # 2 : cost 31 inf + 153 1.262 * * [simplify]: Extracting # 3 : cost 20 inf + 998 1.263 * * [simplify]: Extracting # 4 : cost 3 inf + 4532 1.264 * * [simplify]: Extracting # 5 : cost 0 inf + 5258 1.265 * * [simplify]: iteration 0 : 34 enodes (cost 3988 ) 1.278 * * [simplify]: Extracting # 0 : cost 0 inf + 5258 1.280 * * [simplify]: Extracting # 1 : cost 35 inf + 4329 1.282 * * [simplify]: Extracting # 2 : cost 6 inf + 7880 1.284 * * [simplify]: Extracting # 3 : cost 0 inf + 8740 1.286 * * [simplify]: iteration 1 : 117 enodes (cost 3034 ) 1.374 * * [simplify]: Extracting # 0 : cost 0 inf + 8740 1.379 * * [simplify]: Extracting # 1 : cost 181 inf + 6703 1.391 * * [simplify]: Extracting # 2 : cost 7 inf + 29263 1.402 * * [simplify]: Extracting # 3 : cost 2 inf + 29735 1.411 * * [simplify]: Extracting # 4 : cost 0 inf + 30379 1.421 * * [simplify]: iteration 2 : 605 enodes (cost 3034 ) 2.335 * * [simplify]: Extracting # 0 : cost 0 inf + 30379 2.365 * * [simplify]: Extracting # 1 : cost 1520 inf + 19392 2.412 * * [simplify]: Extracting # 2 : cost 21 inf + 234364 2.463 * * [simplify]: Extracting # 3 : cost 4 inf + 236746 2.546 * * [simplify]: Extracting # 4 : cost 0 inf + 238004 2.628 * * [simplify]: iteration 3 : 4438 enodes (cost 3034 ) 4.630 * * [simplify]: Extracting # 0 : cost 0 inf + 238004 4.693 * * [simplify]: Extracting # 1 : cost 190 inf + 236636 4.749 * * [simplify]: Extracting # 2 : cost 0 inf + 246843 4.816 * * [simplify]: iteration done: 5000 enodes (cost 3034 ) 4.816 * [simplify]: Simplified to: (exp (+ (* x x) (+ y y))) (exp (+ (* x x) (+ y y))) (log (+ (* x x) (+ y y))) (exp (+ (* x x) (+ y y))) (* (cbrt (+ (* x x) (+ y y))) (cbrt (+ (* x x) (+ y y)))) (cbrt (+ (* x x) (+ y y))) (* (* (+ (* x x) (+ y y)) (+ (* x x) (+ y y))) (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))) (+ (* (* (+ y y) (+ y y)) (+ y y)) (* (* x x) (* (* x x) (* x x)))) (+ (* (+ y y) (- (+ y y) (* x x))) (* (* x x) (* x x))) (- (* (* x x) (* x x)) (* (+ y y) (+ y y))) (- (* x x) (+ y y)) (+ (* x x) y) (+ (+ y y) (* x x)) (+ (+ y y) (* x x)) (+ (+ y y) (* x x)) 4.817 * * * [progress]: adding candidates to table 4.856 * [progress]: [Phase 3 of 3] Extracting. 4.857 * * [regime]: Finding splitpoints for: (# #) 4.857 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (+ (+ (* x x) y) y) y x) 4.857 * * * * [regimes]: Trying to branch on (* x x) from (# #) 4.882 * * * * [regimes]: Trying to branch on (+ (+ (* x x) y) y) from (# #) 4.929 * * * * [regimes]: Trying to branch on y from (# #) 4.976 * * * * [regimes]: Trying to branch on x from (# #) 5.025 * * * [regime]: Found split indices: #