18.691 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.038 * * * [progress]: [2/2] Setting up program. 0.041 * [progress]: [Phase 2 of 3] Improving. 0.041 * [simplify]: Simplifying: (+ (+ (* x 2.0) (* x x)) (* y y)) 0.041 * * [simplify]: iteration 0: 8 enodes 0.042 * * [simplify]: iteration 1: 16 enodes 0.045 * * [simplify]: iteration 2: 33 enodes 0.056 * * [simplify]: iteration 3: 42 enodes 0.060 * * [simplify]: iteration complete: 42 enodes 0.060 * * [simplify]: Extracting #0: cost 1 inf + 0 0.060 * * [simplify]: Extracting #1: cost 11 inf + 0 0.060 * * [simplify]: Extracting #2: cost 7 inf + 6 0.060 * * [simplify]: Extracting #3: cost 0 inf + 42 0.060 * * [simplify]: Extracting #4: cost 0 inf + 40 0.060 * [simplify]: Simplified to: (fma y y (* (+ 2.0 x) x)) 0.065 * * [progress]: iteration 1 / 4 0.065 * * * [progress]: picking best candidate 0.071 * * * * [pick]: Picked # 0.071 * * * [progress]: localizing error 0.080 * * * [progress]: generating rewritten candidates 0.080 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3) 0.096 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.097 * * * [progress]: generating series expansions 0.097 * * * * [progress]: [ 1 / 2 ] generating series at (2 3) 0.097 * [backup-simplify]: Simplify (* (+ 2.0 x) x) into (* x (+ x 2.0)) 0.097 * [approximate]: Taking taylor expansion of (* x (+ x 2.0)) in (x) around 0 0.097 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [taylor]: Taking taylor expansion of 2.0 in x 0.097 * [backup-simplify]: Simplify 2.0 into 2.0 0.098 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [taylor]: Taking taylor expansion of 2.0 in x 0.098 * [backup-simplify]: Simplify 2.0 into 2.0 0.099 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.099 * [backup-simplify]: Simplify (* 0 2.0) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ 1 0) into 1 0.101 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 2.0)) into 2.0 0.101 * [backup-simplify]: Simplify 2.0 into 2.0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 2.0))) into 1 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 2.0)))) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 2.0))))) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 2.0)))))) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 2.0))))))) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 2.0)))))))) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 2.0))))))))) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* 2.0 x)) into (+ (* 2.0 x) (pow x 2)) 0.117 * [backup-simplify]: Simplify (* (+ 2.0 (/ 1 x)) (/ 1 x)) into (/ (+ (/ 1 x) 2.0) x) 0.117 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in (x) around 0 0.117 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [taylor]: Taking taylor expansion of 2.0 in x 0.117 * [backup-simplify]: Simplify 2.0 into 2.0 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (+ 1 0) into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of 2.0 in x 0.119 * [backup-simplify]: Simplify 2.0 into 2.0 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (+ 1 0) into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.124 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1 (/ 0 1)))) into 2.0 0.124 * [backup-simplify]: Simplify 2.0 into 2.0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (* 2.0 x) (pow x 2)) 0.134 * [backup-simplify]: Simplify (* (+ 2.0 (/ 1 (- x))) (/ 1 (- x))) into (* -1 (/ (- 2.0 (/ 1 x)) x)) 0.134 * [approximate]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in (x) around 0 0.134 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.134 * [taylor]: Taking taylor expansion of -1 in x 0.134 * [backup-simplify]: Simplify -1 into -1 0.134 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.134 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.134 * [taylor]: Taking taylor expansion of 2.0 in x 0.134 * [backup-simplify]: Simplify 2.0 into 2.0 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (/ 1 1) into 1 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (- 1) into -1 0.135 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.135 * [backup-simplify]: Simplify (/ -1 1) into -1 0.135 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.135 * [taylor]: Taking taylor expansion of -1 in x 0.135 * [backup-simplify]: Simplify -1 into -1 0.135 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.135 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.135 * [taylor]: Taking taylor expansion of 2.0 in x 0.135 * [backup-simplify]: Simplify 2.0 into 2.0 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 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 0.136 * [backup-simplify]: Simplify (- 1) into -1 0.136 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.136 * [backup-simplify]: Simplify (/ -1 1) into -1 0.136 * [backup-simplify]: Simplify (* -1 -1) into 1 0.136 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.137 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.139 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* -1 (/ 0 1)))) into 2.0 0.144 * [backup-simplify]: Simplify (+ (* -1 2.0) (* 0 -1)) into (- 2.0) 0.145 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 2.0) (* 0 -1))) into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (- 0) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1)))) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (- 0) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1))))) into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (- 0) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1)))))) into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1))))))) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1)))))))) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (+ (* (- 2.0) (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (* 2.0 x) (pow x 2)) 0.165 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.165 * [backup-simplify]: Simplify (fma y y (* (+ 2.0 x) x)) into (fma y y (* x (+ x 2.0))) 0.165 * [approximate]: Taking taylor expansion of (fma y y (* x (+ x 2.0))) in (y x) around 0 0.165 * [taylor]: Taking taylor expansion of (fma y y (* x (+ x 2.0))) in x 0.165 * [taylor]: Rewrote expression to (+ (* y y) (* x (+ x 2.0))) 0.165 * [taylor]: Taking taylor expansion of (* y y) in x 0.165 * [taylor]: Taking taylor expansion of y in x 0.165 * [backup-simplify]: Simplify y into y 0.165 * [taylor]: Taking taylor expansion of y in x 0.165 * [backup-simplify]: Simplify y into y 0.166 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of 2.0 in x 0.166 * [backup-simplify]: Simplify 2.0 into 2.0 0.166 * [taylor]: Taking taylor expansion of (fma y y (* x (+ x 2.0))) in y 0.166 * [taylor]: Rewrote expression to (+ (* y y) (* x (+ x 2.0))) 0.166 * [taylor]: Taking taylor expansion of (* y y) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [backup-simplify]: Simplify x into x 0.166 * [taylor]: Taking taylor expansion of (+ x 2.0) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [backup-simplify]: Simplify x into x 0.166 * [taylor]: Taking taylor expansion of 2.0 in y 0.166 * [backup-simplify]: Simplify 2.0 into 2.0 0.166 * [taylor]: Taking taylor expansion of (fma y y (* x (+ x 2.0))) in y 0.167 * [taylor]: Rewrote expression to (+ (* y y) (* x (+ x 2.0))) 0.167 * [taylor]: Taking taylor expansion of (* y y) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) in y 0.167 * [taylor]: Taking taylor expansion of x in y 0.167 * [backup-simplify]: Simplify x into x 0.167 * [taylor]: Taking taylor expansion of (+ x 2.0) in y 0.167 * [taylor]: Taking taylor expansion of x in y 0.167 * [backup-simplify]: Simplify x into x 0.167 * [taylor]: Taking taylor expansion of 2.0 in y 0.167 * [backup-simplify]: Simplify 2.0 into 2.0 0.167 * [backup-simplify]: Simplify (* 0 0) into 0 0.167 * [backup-simplify]: Simplify (+ x 2.0) into (+ x 2.0) 0.168 * [backup-simplify]: Simplify (* x (+ x 2.0)) into (* x (+ x 2.0)) 0.168 * [backup-simplify]: Simplify (+ 0 (* x (+ x 2.0))) into (+ (* 2.0 x) (pow x 2)) 0.168 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow x 2)) in x 0.168 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.168 * [taylor]: Taking taylor expansion of 2.0 in x 0.168 * [backup-simplify]: Simplify 2.0 into 2.0 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (+ (* x 0) (* 0 (+ x 2.0))) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [taylor]: Taking taylor expansion of 0 in x 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.172 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.172 * [backup-simplify]: Simplify 2.0 into 2.0 0.173 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 (+ x 2.0)))) into 0 0.175 * [backup-simplify]: Simplify (+ 1 0) into 1 0.175 * [taylor]: Taking taylor expansion of 1 in x 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.176 * [backup-simplify]: Simplify (* 1 1) into 1 0.177 * [backup-simplify]: Simplify (+ 0 1) into 1 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 1 (pow (* 1 y) 2)) (* 2.0 (* x 1)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 x))) 0.177 * [backup-simplify]: Simplify (fma (/ 1 y) (/ 1 y) (* (+ 2.0 (/ 1 x)) (/ 1 x))) into (fma (/ 1 y) (/ 1 y) (/ (+ (/ 1 x) 2.0) x)) 0.178 * [approximate]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ (+ (/ 1 x) 2.0) x)) in (y x) around 0 0.178 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ (+ (/ 1 x) 2.0) x)) in x 0.178 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ (+ (/ 1 x) 2.0) x)) 0.178 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.178 * [taylor]: Taking taylor expansion of y in x 0.178 * [backup-simplify]: Simplify y into y 0.178 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.178 * [taylor]: Taking taylor expansion of y in x 0.178 * [backup-simplify]: Simplify y into y 0.178 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.178 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ 1 1) into 1 0.179 * [taylor]: Taking taylor expansion of 2.0 in x 0.179 * [backup-simplify]: Simplify 2.0 into 2.0 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (+ 1 0) into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ (+ (/ 1 x) 2.0) x)) in y 0.180 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ (+ (/ 1 x) 2.0) x)) 0.180 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in y 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.181 * [taylor]: Taking taylor expansion of x in y 0.181 * [backup-simplify]: Simplify x into x 0.182 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.182 * [taylor]: Taking taylor expansion of 2.0 in y 0.182 * [backup-simplify]: Simplify 2.0 into 2.0 0.182 * [taylor]: Taking taylor expansion of x in y 0.182 * [backup-simplify]: Simplify x into x 0.182 * [backup-simplify]: Simplify (+ (/ 1 x) 2.0) into (+ (/ 1 x) 2.0) 0.182 * [backup-simplify]: Simplify (/ (+ (/ 1 x) 2.0) x) into (/ (+ (/ 1 x) 2.0) x) 0.182 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ (+ (/ 1 x) 2.0) x)) in y 0.182 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ (+ (/ 1 x) 2.0) x)) 0.182 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (/ 1 1) into 1 0.183 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in y 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in y 0.184 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.184 * [taylor]: Taking taylor expansion of x in y 0.184 * [backup-simplify]: Simplify x into x 0.184 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.184 * [taylor]: Taking taylor expansion of 2.0 in y 0.184 * [backup-simplify]: Simplify 2.0 into 2.0 0.184 * [taylor]: Taking taylor expansion of x in y 0.184 * [backup-simplify]: Simplify x into x 0.184 * [backup-simplify]: Simplify (+ (/ 1 x) 2.0) into (+ (/ 1 x) 2.0) 0.184 * [backup-simplify]: Simplify (/ (+ (/ 1 x) 2.0) x) into (/ (+ (/ 1 x) 2.0) x) 0.185 * [backup-simplify]: Simplify (* 1 1) into 1 0.185 * [backup-simplify]: Simplify (+ 1 0) into 1 0.185 * [taylor]: Taking taylor expansion of 1 in x 0.185 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [taylor]: Taking taylor expansion of 0 in x 0.188 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.193 * [backup-simplify]: Simplify (+ 0 (/ (+ (/ 1 x) 2.0) x)) into (+ (* 2.0 (/ 1 x)) (/ 1 (pow x 2))) 0.193 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 x)) (/ 1 (pow x 2))) in x 0.193 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.193 * [taylor]: Taking taylor expansion of 2.0 in x 0.193 * [backup-simplify]: Simplify 2.0 into 2.0 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (* 1 1) into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [backup-simplify]: Simplify (+ 0 1) into 1 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ (+ (/ 1 x) 2.0) x) (/ 0 x)))) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [taylor]: Taking taylor expansion of 0 in x 0.199 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.202 * [backup-simplify]: Simplify 2.0 into 2.0 0.202 * [backup-simplify]: Simplify (+ (* 2.0 (* (/ 1 (/ 1 x)) 1)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (* 2.0 x) (+ (pow x 2) (pow y 2))) 0.203 * [backup-simplify]: Simplify (fma (/ 1 (- y)) (/ 1 (- y)) (* (+ 2.0 (/ 1 (- x))) (/ 1 (- x)))) into (fma (/ -1 y) (/ -1 y) (* -1 (/ (- 2.0 (/ 1 x)) x))) 0.203 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (* -1 (/ (- 2.0 (/ 1 x)) x))) in (y x) around 0 0.203 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (* -1 (/ (- 2.0 (/ 1 x)) x))) in x 0.203 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (* -1 (/ (- 2.0 (/ 1 x)) x))) 0.203 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.203 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.203 * [taylor]: Taking taylor expansion of -1 in x 0.203 * [backup-simplify]: Simplify -1 into -1 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [backup-simplify]: Simplify y into y 0.203 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.203 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.203 * [taylor]: Taking taylor expansion of -1 in x 0.203 * [backup-simplify]: Simplify -1 into -1 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [backup-simplify]: Simplify y into y 0.203 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.203 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.203 * [taylor]: Taking taylor expansion of -1 in x 0.203 * [backup-simplify]: Simplify -1 into -1 0.203 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.204 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.204 * [taylor]: Taking taylor expansion of 2.0 in x 0.204 * [backup-simplify]: Simplify 2.0 into 2.0 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (- 1) into -1 0.205 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.206 * [backup-simplify]: Simplify (/ -1 1) into -1 0.206 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (* -1 (/ (- 2.0 (/ 1 x)) x))) in y 0.206 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (* -1 (/ (- 2.0 (/ 1 x)) x))) 0.206 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.206 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.206 * [taylor]: Taking taylor expansion of -1 in y 0.206 * [backup-simplify]: Simplify -1 into -1 0.206 * [taylor]: Taking taylor expansion of y in y 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (/ -1 1) into -1 0.207 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.207 * [taylor]: Taking taylor expansion of -1 in y 0.207 * [backup-simplify]: Simplify -1 into -1 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (/ -1 1) into -1 0.207 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in y 0.207 * [taylor]: Taking taylor expansion of -1 in y 0.207 * [backup-simplify]: Simplify -1 into -1 0.207 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in y 0.207 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in y 0.207 * [taylor]: Taking taylor expansion of 2.0 in y 0.207 * [backup-simplify]: Simplify 2.0 into 2.0 0.207 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [backup-simplify]: Simplify x into x 0.208 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.208 * [taylor]: Taking taylor expansion of x in y 0.208 * [backup-simplify]: Simplify x into x 0.208 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 0.208 * [backup-simplify]: Simplify (+ 2.0 (- (/ 1 x))) into (- 2.0 (/ 1 x)) 0.208 * [backup-simplify]: Simplify (/ (- 2.0 (/ 1 x)) x) into (/ (- 2.0 (/ 1 x)) x) 0.208 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (* -1 (/ (- 2.0 (/ 1 x)) x))) in y 0.208 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (* -1 (/ (- 2.0 (/ 1 x)) x))) 0.208 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.208 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.208 * [taylor]: Taking taylor expansion of -1 in y 0.208 * [backup-simplify]: Simplify -1 into -1 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (/ -1 1) into -1 0.209 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.209 * [taylor]: Taking taylor expansion of -1 in y 0.209 * [backup-simplify]: Simplify -1 into -1 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (/ -1 1) into -1 0.209 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in y 0.209 * [taylor]: Taking taylor expansion of -1 in y 0.209 * [backup-simplify]: Simplify -1 into -1 0.209 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in y 0.209 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in y 0.209 * [taylor]: Taking taylor expansion of 2.0 in y 0.209 * [backup-simplify]: Simplify 2.0 into 2.0 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [backup-simplify]: Simplify x into x 0.209 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [backup-simplify]: Simplify x into x 0.209 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 0.209 * [backup-simplify]: Simplify (+ 2.0 (- (/ 1 x))) into (- 2.0 (/ 1 x)) 0.209 * [backup-simplify]: Simplify (/ (- 2.0 (/ 1 x)) x) into (/ (- 2.0 (/ 1 x)) x) 0.210 * [backup-simplify]: Simplify (* -1 -1) into 1 0.210 * [backup-simplify]: Simplify (+ 1 0) into 1 0.210 * [taylor]: Taking taylor expansion of 1 in x 0.210 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [taylor]: Taking taylor expansion of 0 in x 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.214 * [backup-simplify]: Simplify (* -1 (/ (- 2.0 (/ 1 x)) x)) into (* -1 (/ (- 2.0 (/ 1 x)) x)) 0.214 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (- 2.0 (/ 1 x)) x))) into (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0.214 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.214 * [taylor]: Taking taylor expansion of 2.0 in x 0.214 * [backup-simplify]: Simplify 2.0 into 2.0 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [backup-simplify]: Simplify (+ 1 0) into 1 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.217 * [backup-simplify]: Simplify (- 0) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ (- 2.0 (/ 1 x)) x) (/ 0 x)))) into 0 0.218 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (- 2.0 (/ 1 x)) x))) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [taylor]: Taking taylor expansion of 0 in x 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.219 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.220 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 0.220 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.221 * [backup-simplify]: Simplify (+ (* (- 2.0) (* (/ 1 (/ 1 (- x))) 1)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (* 2.0 x) (+ (pow x 2) (pow y 2))) 0.221 * * * [progress]: simplifying candidates 0.221 * [simplify]: Simplifying: (expm1 (* (+ 2.0 x) x)) (log1p (* (+ 2.0 x) x)) (* (+ 2.0 x) x) (+ (log (+ 2.0 x)) (log x)) (log (* (+ 2.0 x) x)) (exp (* (+ 2.0 x) x)) (* (* (* (+ 2.0 x) (+ 2.0 x)) (+ 2.0 x)) (* (* x x) x)) (* (cbrt (* (+ 2.0 x) x)) (cbrt (* (+ 2.0 x) x))) (cbrt (* (+ 2.0 x) x)) (* (* (* (+ 2.0 x) x) (* (+ 2.0 x) x)) (* (+ 2.0 x) x)) (sqrt (* (+ 2.0 x) x)) (sqrt (* (+ 2.0 x) x)) (* (sqrt (+ 2.0 x)) (sqrt x)) (* (sqrt (+ 2.0 x)) (sqrt x)) (* (+ 2.0 x) (* (cbrt x) (cbrt x))) (* (+ 2.0 x) (sqrt x)) (* (+ 2.0 x) 1) (* (cbrt (+ 2.0 x)) x) (* (sqrt (+ 2.0 x)) x) (* (+ 2.0 x) x) (* (+ 2.0 x) x) (* (+ (pow 2.0 3) (pow x 3)) x) (* (- (* 2.0 2.0) (* x x)) x) (expm1 (fma y y (* (+ 2.0 x) x))) (log1p (fma y y (* (+ 2.0 x) x))) (* y y) (log (fma y y (* (+ 2.0 x) x))) (exp (fma y y (* (+ 2.0 x) x))) (* (cbrt (fma y y (* (+ 2.0 x) x))) (cbrt (fma y y (* (+ 2.0 x) x)))) (cbrt (fma y y (* (+ 2.0 x) x))) (* (* (fma y y (* (+ 2.0 x) x)) (fma y y (* (+ 2.0 x) x))) (fma y y (* (+ 2.0 x) x))) (sqrt (fma y y (* (+ 2.0 x) x))) (sqrt (fma y y (* (+ 2.0 x) x))) (+ (* 2.0 x) (pow x 2)) (+ (* 2.0 x) (pow x 2)) (+ (* 2.0 x) (pow x 2)) (+ (pow y 2) (+ (pow x 2) (* 2.0 x))) (+ (* 2.0 x) (+ (pow x 2) (pow y 2))) (+ (* 2.0 x) (+ (pow x 2) (pow y 2))) 0.222 * * [simplify]: iteration 0: 62 enodes 0.232 * * [simplify]: iteration 1: 141 enodes 0.318 * * [simplify]: iteration 2: 771 enodes 0.707 * * [simplify]: iteration complete: 5001 enodes 0.707 * * [simplify]: Extracting #0: cost 29 inf + 0 0.708 * * [simplify]: Extracting #1: cost 578 inf + 0 0.712 * * [simplify]: Extracting #2: cost 1994 inf + 107 0.728 * * [simplify]: Extracting #3: cost 1833 inf + 5235 0.742 * * [simplify]: Extracting #4: cost 182 inf + 17314 0.754 * * [simplify]: Extracting #5: cost 12 inf + 18689 0.760 * * [simplify]: Extracting #6: cost 1 inf + 18736 0.767 * * [simplify]: Extracting #7: cost 0 inf + 18741 0.773 * [simplify]: Simplified to: (expm1 (* x (+ x 2.0))) (log1p (* x (+ x 2.0))) (* x (+ x 2.0)) (log (* x (+ x 2.0))) (log (* x (+ x 2.0))) (pow (exp (+ x 2.0)) x) (* (pow x 3) (pow (+ x 2.0) 3)) (* (cbrt (* x (+ x 2.0))) (cbrt (* x (+ x 2.0)))) (cbrt (* x (+ x 2.0))) (pow (* x (+ x 2.0)) 3) (sqrt (* x (+ x 2.0))) (sqrt (* x (+ x 2.0))) (* (sqrt (+ x 2.0)) (sqrt x)) (* (sqrt (+ x 2.0)) (sqrt x)) (* (* (cbrt x) (cbrt x)) (+ x 2.0)) (* (+ x 2.0) (sqrt x)) (+ x 2.0) (* (cbrt (+ x 2.0)) x) (* (sqrt (+ x 2.0)) x) (* x (+ x 2.0)) (* x (+ x 2.0)) (* (+ (pow x 3) (pow 2.0 3)) x) (* (- (* 2.0 2.0) (* x x)) x) (expm1 (fma (+ x 2.0) x (* y y))) (log1p (fma (+ x 2.0) x (* y y))) (* y y) (log (fma (+ x 2.0) x (* y y))) (exp (fma (+ x 2.0) x (* y y))) (* (cbrt (fma (+ x 2.0) x (* y y))) (cbrt (fma (+ x 2.0) x (* y y)))) (cbrt (fma (+ x 2.0) x (* y y))) (pow (fma (+ x 2.0) x (* y y)) 3) (sqrt (fma (+ x 2.0) x (* y y))) (sqrt (fma (+ x 2.0) x (* y y))) (* x (+ x 2.0)) (* x (+ x 2.0)) (* x (+ x 2.0)) (fma y y (* x (+ x 2.0))) (fma y y (* x (+ x 2.0))) (fma y y (* x (+ x 2.0))) 0.773 * * * [progress]: adding candidates to table 0.938 * * [progress]: iteration 2 / 4 0.938 * * * [progress]: picking best candidate 0.945 * * * * [pick]: Picked # 0.945 * * * [progress]: localizing error 0.956 * * * [progress]: generating rewritten candidates 0.956 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.989 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.996 * * * [progress]: generating series expansions 0.996 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.996 * [backup-simplify]: Simplify (+ (+ (* x 2.0) (* x x)) (* y y)) into (+ (* 2.0 x) (+ (pow x 2) (pow y 2))) 0.997 * [approximate]: Taking taylor expansion of (+ (* 2.0 x) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.997 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (+ (pow x 2) (pow y 2))) in y 0.997 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.997 * [taylor]: Taking taylor expansion of 2.0 in y 0.997 * [backup-simplify]: Simplify 2.0 into 2.0 0.997 * [taylor]: Taking taylor expansion of x in y 0.997 * [backup-simplify]: Simplify x into x 0.997 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.997 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.997 * [taylor]: Taking taylor expansion of x in y 0.997 * [backup-simplify]: Simplify x into x 0.997 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.997 * [taylor]: Taking taylor expansion of y in y 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 1 into 1 0.997 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (+ (pow x 2) (pow y 2))) in x 0.997 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.997 * [taylor]: Taking taylor expansion of 2.0 in x 0.997 * [backup-simplify]: Simplify 2.0 into 2.0 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 1 into 1 0.997 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.997 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 1 into 1 0.997 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.997 * [taylor]: Taking taylor expansion of y in x 0.997 * [backup-simplify]: Simplify y into y 1.001 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (+ (pow x 2) (pow y 2))) in x 1.001 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.001 * [taylor]: Taking taylor expansion of 2.0 in x 1.002 * [backup-simplify]: Simplify 2.0 into 2.0 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 1 into 1 1.002 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.002 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 1 into 1 1.002 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.002 * [taylor]: Taking taylor expansion of y in x 1.002 * [backup-simplify]: Simplify y into y 1.002 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.003 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.003 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.003 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.003 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.003 * [taylor]: Taking taylor expansion of y in y 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 1 into 1 1.004 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 1.004 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.004 * [backup-simplify]: Simplify (+ 0 0) into 0 1.004 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 1.004 * [taylor]: Taking taylor expansion of 2.0 in y 1.004 * [backup-simplify]: Simplify 2.0 into 2.0 1.004 * [backup-simplify]: Simplify 2.0 into 2.0 1.005 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 1.005 * [backup-simplify]: Simplify (* 1 1) into 1 1.005 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.006 * [backup-simplify]: Simplify (+ 1 0) into 1 1.006 * [backup-simplify]: Simplify (+ 0 1) into 1 1.006 * [taylor]: Taking taylor expansion of 1 in y 1.006 * [backup-simplify]: Simplify 1 into 1 1.006 * [backup-simplify]: Simplify 1 into 1 1.006 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify (* 1 1) into 1 1.007 * [backup-simplify]: Simplify 1 into 1 1.007 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 1 (pow (* 1 x) 2)) (* 2.0 (* 1 x)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 x))) 1.007 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) 2.0) (* (/ 1 x) (/ 1 x))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x)))) 1.007 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x)))) in (x y) around 0 1.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x)))) in y 1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.007 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.007 * [taylor]: Taking taylor expansion of y in y 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify 1 into 1 1.007 * [backup-simplify]: Simplify (* 1 1) into 1 1.008 * [backup-simplify]: Simplify (/ 1 1) into 1 1.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in y 1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.008 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.008 * [taylor]: Taking taylor expansion of x in y 1.008 * [backup-simplify]: Simplify x into x 1.008 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.008 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.008 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.008 * [taylor]: Taking taylor expansion of 2.0 in y 1.008 * [backup-simplify]: Simplify 2.0 into 2.0 1.008 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.008 * [taylor]: Taking taylor expansion of x in y 1.008 * [backup-simplify]: Simplify x into x 1.008 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x)))) in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.008 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.008 * [taylor]: Taking taylor expansion of y in x 1.008 * [backup-simplify]: Simplify y into y 1.008 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.008 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify 1 into 1 1.009 * [backup-simplify]: Simplify (* 1 1) into 1 1.009 * [backup-simplify]: Simplify (/ 1 1) into 1 1.009 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.009 * [taylor]: Taking taylor expansion of 2.0 in x 1.009 * [backup-simplify]: Simplify 2.0 into 2.0 1.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify 1 into 1 1.010 * [backup-simplify]: Simplify (/ 1 1) into 1 1.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x)))) in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.010 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.010 * [taylor]: Taking taylor expansion of y in x 1.010 * [backup-simplify]: Simplify y into y 1.010 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.010 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.010 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 1 into 1 1.010 * [backup-simplify]: Simplify (* 1 1) into 1 1.011 * [backup-simplify]: Simplify (/ 1 1) into 1 1.011 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.011 * [taylor]: Taking taylor expansion of 2.0 in x 1.011 * [backup-simplify]: Simplify 2.0 into 2.0 1.011 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 1 into 1 1.011 * [backup-simplify]: Simplify (/ 1 1) into 1 1.012 * [backup-simplify]: Simplify (+ 1 0) into 1 1.012 * [backup-simplify]: Simplify (+ 0 1) into 1 1.012 * [taylor]: Taking taylor expansion of 1 in y 1.012 * [backup-simplify]: Simplify 1 into 1 1.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.014 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.014 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.015 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.015 * [taylor]: Taking taylor expansion of 2.0 in y 1.015 * [backup-simplify]: Simplify 2.0 into 2.0 1.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.018 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.018 * [backup-simplify]: Simplify (+ 0 0) into 0 1.018 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.018 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.018 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.018 * [taylor]: Taking taylor expansion of y in y 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 1 into 1 1.019 * [backup-simplify]: Simplify (* 1 1) into 1 1.019 * [backup-simplify]: Simplify (/ 1 1) into 1 1.019 * [backup-simplify]: Simplify 1 into 1 1.019 * [backup-simplify]: Simplify 1 into 1 1.019 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.022 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.022 * [backup-simplify]: Simplify (+ 0 0) into 0 1.023 * [backup-simplify]: Simplify (+ 0 0) into 0 1.023 * [taylor]: Taking taylor expansion of 0 in y 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify 2.0 into 2.0 1.024 * [backup-simplify]: Simplify (+ (* 2.0 (* 1 (/ 1 (/ 1 x)))) (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (* 2.0 x) (+ (pow x 2) (pow y 2))) 1.024 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) 2.0) (* (/ 1 (- x)) (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (* 2.0 (/ 1 x))) 1.024 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (* 2.0 (/ 1 x))) in (x y) around 0 1.024 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (* 2.0 (/ 1 x))) in y 1.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.024 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.024 * [taylor]: Taking taylor expansion of y in y 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify 1 into 1 1.024 * [backup-simplify]: Simplify (* 1 1) into 1 1.025 * [backup-simplify]: Simplify (/ 1 1) into 1 1.025 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.025 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.025 * [taylor]: Taking taylor expansion of x in y 1.025 * [backup-simplify]: Simplify x into x 1.025 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.025 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.025 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.025 * [taylor]: Taking taylor expansion of 2.0 in y 1.025 * [backup-simplify]: Simplify 2.0 into 2.0 1.025 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.025 * [taylor]: Taking taylor expansion of x in y 1.025 * [backup-simplify]: Simplify x into x 1.025 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.025 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (* 2.0 (/ 1 x))) in x 1.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.025 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.025 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.025 * [taylor]: Taking taylor expansion of y in x 1.025 * [backup-simplify]: Simplify y into y 1.025 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.025 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.025 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 1 into 1 1.026 * [backup-simplify]: Simplify (* 1 1) into 1 1.026 * [backup-simplify]: Simplify (/ 1 1) into 1 1.026 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.026 * [taylor]: Taking taylor expansion of 2.0 in x 1.026 * [backup-simplify]: Simplify 2.0 into 2.0 1.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 1 into 1 1.026 * [backup-simplify]: Simplify (/ 1 1) into 1 1.026 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (* 2.0 (/ 1 x))) in x 1.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.026 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.026 * [taylor]: Taking taylor expansion of y in x 1.026 * [backup-simplify]: Simplify y into y 1.026 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.026 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.026 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 1 into 1 1.027 * [backup-simplify]: Simplify (* 1 1) into 1 1.027 * [backup-simplify]: Simplify (/ 1 1) into 1 1.027 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.027 * [taylor]: Taking taylor expansion of 2.0 in x 1.027 * [backup-simplify]: Simplify 2.0 into 2.0 1.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.027 * [backup-simplify]: Simplify (/ 1 1) into 1 1.028 * [backup-simplify]: Simplify (+ 0 1) into 1 1.028 * [backup-simplify]: Simplify (+ 1 0) into 1 1.028 * [taylor]: Taking taylor expansion of 1 in y 1.028 * [backup-simplify]: Simplify 1 into 1 1.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.029 * [backup-simplify]: Simplify (+ 0 0) into 0 1.029 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.029 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.030 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 1.030 * [taylor]: Taking taylor expansion of (- 2.0) in y 1.030 * [taylor]: Taking taylor expansion of 2.0 in y 1.030 * [backup-simplify]: Simplify 2.0 into 2.0 1.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.031 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.032 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.032 * [backup-simplify]: Simplify (- 0) into 0 1.032 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.032 * [taylor]: Taking taylor expansion of y in y 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 1 into 1 1.033 * [backup-simplify]: Simplify (* 1 1) into 1 1.033 * [backup-simplify]: Simplify (/ 1 1) into 1 1.033 * [backup-simplify]: Simplify 1 into 1 1.033 * [backup-simplify]: Simplify 1 into 1 1.033 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.035 * [backup-simplify]: Simplify (+ 0 0) into 0 1.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.036 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.036 * [backup-simplify]: Simplify (- 0) into 0 1.036 * [backup-simplify]: Simplify (+ 0 0) into 0 1.036 * [taylor]: Taking taylor expansion of 0 in y 1.036 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.038 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.038 * [backup-simplify]: Simplify (+ (* (- 2.0) (* 1 (/ 1 (/ 1 (- x))))) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (* 2.0 x) (+ (pow x 2) (pow y 2))) 1.038 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.038 * [backup-simplify]: Simplify (+ (* x 2.0) (* x x)) into (+ (* 2.0 x) (pow x 2)) 1.038 * [approximate]: Taking taylor expansion of (+ (* 2.0 x) (pow x 2)) in (x) around 0 1.038 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow x 2)) in x 1.038 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.039 * [taylor]: Taking taylor expansion of 2.0 in x 1.039 * [backup-simplify]: Simplify 2.0 into 2.0 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 1 into 1 1.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 1 into 1 1.039 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow x 2)) in x 1.039 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.039 * [taylor]: Taking taylor expansion of 2.0 in x 1.039 * [backup-simplify]: Simplify 2.0 into 2.0 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 1 into 1 1.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 1 into 1 1.039 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.039 * [backup-simplify]: Simplify (+ 0 0) into 0 1.039 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 1.040 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 1.040 * [backup-simplify]: Simplify 2.0 into 2.0 1.041 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 1.041 * [backup-simplify]: Simplify (* 1 1) into 1 1.042 * [backup-simplify]: Simplify (+ 0 1) into 1 1.042 * [backup-simplify]: Simplify 1 into 1 1.042 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.043 * [backup-simplify]: Simplify (+ 0 0) into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.044 * [backup-simplify]: Simplify (+ 0 0) into 0 1.044 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.046 * [backup-simplify]: Simplify (+ 0 0) into 0 1.046 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.048 * [backup-simplify]: Simplify (+ 0 0) into 0 1.048 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.050 * [backup-simplify]: Simplify (+ 0 0) into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 1.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.052 * [backup-simplify]: Simplify (+ 0 0) into 0 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* 2.0 x)) into (+ (* 2.0 x) (pow x 2)) 1.052 * [backup-simplify]: Simplify (+ (* (/ 1 x) 2.0) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 1.052 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 1.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify 1 into 1 1.052 * [backup-simplify]: Simplify (* 1 1) into 1 1.053 * [backup-simplify]: Simplify (/ 1 1) into 1 1.053 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.053 * [taylor]: Taking taylor expansion of 2.0 in x 1.053 * [backup-simplify]: Simplify 2.0 into 2.0 1.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify 1 into 1 1.053 * [backup-simplify]: Simplify (/ 1 1) into 1 1.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 1.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify 1 into 1 1.054 * [backup-simplify]: Simplify (* 1 1) into 1 1.054 * [backup-simplify]: Simplify (/ 1 1) into 1 1.054 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.054 * [taylor]: Taking taylor expansion of 2.0 in x 1.054 * [backup-simplify]: Simplify 2.0 into 2.0 1.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify 1 into 1 1.055 * [backup-simplify]: Simplify (/ 1 1) into 1 1.055 * [backup-simplify]: Simplify (+ 1 0) into 1 1.055 * [backup-simplify]: Simplify 1 into 1 1.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.057 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.057 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.057 * [backup-simplify]: Simplify 2.0 into 2.0 1.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.059 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.059 * [backup-simplify]: Simplify (+ 0 0) into 0 1.059 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.061 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.062 * [backup-simplify]: Simplify (+ 0 0) into 0 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.064 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.064 * [backup-simplify]: Simplify (+ 0 0) into 0 1.064 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.067 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.067 * [backup-simplify]: Simplify (+ 0 0) into 0 1.067 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.070 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.070 * [backup-simplify]: Simplify (+ 0 0) into 0 1.070 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.073 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.073 * [backup-simplify]: Simplify (+ 0 0) into 0 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (* 2.0 x) (pow x 2)) 1.073 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) 2.0) (* (/ 1 (- x)) (/ 1 (- x)))) into (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 1.073 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 1.073 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify 1 into 1 1.074 * [backup-simplify]: Simplify (* 1 1) into 1 1.074 * [backup-simplify]: Simplify (/ 1 1) into 1 1.074 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.074 * [taylor]: Taking taylor expansion of 2.0 in x 1.074 * [backup-simplify]: Simplify 2.0 into 2.0 1.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify 1 into 1 1.074 * [backup-simplify]: Simplify (/ 1 1) into 1 1.074 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify 1 into 1 1.075 * [backup-simplify]: Simplify (* 1 1) into 1 1.075 * [backup-simplify]: Simplify (/ 1 1) into 1 1.075 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.075 * [taylor]: Taking taylor expansion of 2.0 in x 1.075 * [backup-simplify]: Simplify 2.0 into 2.0 1.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 1 into 1 1.075 * [backup-simplify]: Simplify (/ 1 1) into 1 1.076 * [backup-simplify]: Simplify (+ 1 0) into 1 1.076 * [backup-simplify]: Simplify 1 into 1 1.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.077 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.077 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.078 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 1.078 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.080 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.080 * [backup-simplify]: Simplify (- 0) into 0 1.081 * [backup-simplify]: Simplify (+ 0 0) into 0 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.083 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.083 * [backup-simplify]: Simplify (- 0) into 0 1.084 * [backup-simplify]: Simplify (+ 0 0) into 0 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.087 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.088 * [backup-simplify]: Simplify (- 0) into 0 1.088 * [backup-simplify]: Simplify (+ 0 0) into 0 1.088 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.091 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.091 * [backup-simplify]: Simplify (- 0) into 0 1.091 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.094 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.094 * [backup-simplify]: Simplify (- 0) into 0 1.095 * [backup-simplify]: Simplify (+ 0 0) into 0 1.095 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.103 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.103 * [backup-simplify]: Simplify (- 0) into 0 1.104 * [backup-simplify]: Simplify (+ 0 0) into 0 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify (+ (* (- 2.0) (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (* 2.0 x) (pow x 2)) 1.104 * * * [progress]: simplifying candidates 1.105 * [simplify]: Simplifying: (expm1 (+ (+ (* x 2.0) (* x x)) (* y y))) (log1p (+ (+ (* x 2.0) (* x x)) (* y y))) (* (* (exp (* x 2.0)) (exp (* x x))) (exp (* y y))) (* (exp (+ (* x 2.0) (* x x))) (exp (* y y))) (log (+ (+ (* x 2.0) (* x x)) (* y y))) (exp (+ (+ (* x 2.0) (* x x)) (* y y))) (* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (* (* (+ (+ (* x 2.0) (* x x)) (* y y)) (+ (+ (* x 2.0) (* x x)) (* y y))) (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (+ (pow (+ (* x 2.0) (* x x)) 3) (pow (* y y) 3)) (+ (* (+ (* x 2.0) (* x x)) (+ (* x 2.0) (* x x))) (- (* (* y y) (* y y)) (* (+ (* x 2.0) (* x x)) (* y y)))) (- (* (+ (* x 2.0) (* x x)) (+ (* x 2.0) (* x x))) (* (* y y) (* y y))) (- (+ (* x 2.0) (* x x)) (* y y)) (+ (* x x) (* y y)) (expm1 (+ (* x 2.0) (* x x))) (log1p (+ (* x 2.0) (* x x))) (* (exp (* x 2.0)) (exp (* x x))) (log (+ (* x 2.0) (* x x))) (exp (+ (* x 2.0) (* x x))) (* (cbrt (+ (* x 2.0) (* x x))) (cbrt (+ (* x 2.0) (* x x)))) (cbrt (+ (* x 2.0) (* x x))) (* (* (+ (* x 2.0) (* x x)) (+ (* x 2.0) (* x x))) (+ (* x 2.0) (* x x))) (sqrt (+ (* x 2.0) (* x x))) (sqrt (+ (* x 2.0) (* x x))) (+ (pow (* x 2.0) 3) (pow (* x x) 3)) (+ (* (* x 2.0) (* x 2.0)) (- (* (* x x) (* x x)) (* (* x 2.0) (* x x)))) (- (* (* x 2.0) (* x 2.0)) (* (* x x) (* x x))) (- (* x 2.0) (* x x)) (+ 2.0 x) (+ (pow y 2) (+ (pow x 2) (* 2.0 x))) (+ (* 2.0 x) (+ (pow x 2) (pow y 2))) (+ (* 2.0 x) (+ (pow x 2) (pow y 2))) (+ (* 2.0 x) (pow x 2)) (+ (* 2.0 x) (pow x 2)) (+ (* 2.0 x) (pow x 2)) 1.105 * * [simplify]: iteration 0: 63 enodes 1.118 * * [simplify]: iteration 1: 224 enodes 1.257 * * [simplify]: iteration 2: 1619 enodes 2.361 * * [simplify]: iteration complete: 5000 enodes 2.361 * * [simplify]: Extracting #0: cost 28 inf + 0 2.364 * * [simplify]: Extracting #1: cost 580 inf + 0 2.374 * * [simplify]: Extracting #2: cost 1449 inf + 156 2.387 * * [simplify]: Extracting #3: cost 705 inf + 4955 2.409 * * [simplify]: Extracting #4: cost 145 inf + 9214 2.421 * * [simplify]: Extracting #5: cost 15 inf + 10075 2.433 * * [simplify]: Extracting #6: cost 0 inf + 10195 2.439 * [simplify]: Simplified to: (expm1 (fma x (+ 2.0 x) (* y y))) (log1p (fma x (+ 2.0 x) (* y y))) (exp (fma x (+ 2.0 x) (* y y))) (exp (fma x (+ 2.0 x) (* y y))) (log (fma x (+ 2.0 x) (* y y))) (exp (fma x (+ 2.0 x) (* y y))) (* (cbrt (fma x (+ 2.0 x) (* y y))) (cbrt (fma x (+ 2.0 x) (* y y)))) (cbrt (fma x (+ 2.0 x) (* y y))) (pow (fma x (+ 2.0 x) (* y y)) 3) (sqrt (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))) (+ (pow (* (+ 2.0 x) x) 3) (pow y 6)) (fma (* y y) (- (* y y) (* (+ 2.0 x) x)) (* x (* (+ 2.0 x) (* (+ 2.0 x) x)))) (fma (* (* (+ 2.0 x) x) x) (+ 2.0 x) (- (pow y 4))) (fma x (+ 2.0 x) (- (* y y))) (fma x x (* y y)) (expm1 (* (+ 2.0 x) x)) (log1p (* (+ 2.0 x) x)) (pow (exp x) (+ 2.0 x)) (log (* (+ 2.0 x) x)) (pow (exp x) (+ 2.0 x)) (* (cbrt (* (+ 2.0 x) x)) (cbrt (* (+ 2.0 x) x))) (cbrt (* (+ 2.0 x) x)) (pow (* (+ 2.0 x) x) 3) (sqrt (* (+ 2.0 x) x)) (sqrt (* (+ 2.0 x) x)) (+ (pow x 6) (pow (* x 2.0) 3)) (* (* x x) (fma 2.0 2.0 (* x (- x 2.0)))) (* x (* (+ 2.0 x) (* x (- 2.0 x)))) (* x (- 2.0 x)) (+ 2.0 x) (fma x (+ 2.0 x) (* y y)) (fma x (+ 2.0 x) (* y y)) (fma x (+ 2.0 x) (* y y)) (* (+ 2.0 x) x) (* (+ 2.0 x) x) (* (+ 2.0 x) x) 2.439 * * * [progress]: adding candidates to table 2.631 * * [progress]: iteration 3 / 4 2.631 * * * [progress]: picking best candidate 2.637 * * * * [pick]: Picked # 2.637 * * * [progress]: localizing error 2.657 * * * [progress]: generating rewritten candidates 2.657 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.658 * * * [progress]: generating series expansions 2.658 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.658 * [backup-simplify]: Simplify (fma x (+ 2.0 x) (* y y)) into (fma x (+ x 2.0) (pow y 2)) 2.659 * [approximate]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in (x y) around 0 2.659 * [taylor]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in y 2.659 * [taylor]: Rewrote expression to (+ (* x (+ x 2.0)) (pow y 2)) 2.659 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) in y 2.659 * [taylor]: Taking taylor expansion of x in y 2.659 * [backup-simplify]: Simplify x into x 2.659 * [taylor]: Taking taylor expansion of (+ x 2.0) in y 2.659 * [taylor]: Taking taylor expansion of x in y 2.659 * [backup-simplify]: Simplify x into x 2.659 * [taylor]: Taking taylor expansion of 2.0 in y 2.659 * [backup-simplify]: Simplify 2.0 into 2.0 2.659 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.659 * [taylor]: Taking taylor expansion of y in y 2.659 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify 1 into 1 2.659 * [taylor]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in x 2.659 * [taylor]: Rewrote expression to (+ (* x (+ x 2.0)) (pow y 2)) 2.659 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) in x 2.659 * [taylor]: Taking taylor expansion of x in x 2.659 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify 1 into 1 2.659 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 2.659 * [taylor]: Taking taylor expansion of x in x 2.659 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify 1 into 1 2.659 * [taylor]: Taking taylor expansion of 2.0 in x 2.660 * [backup-simplify]: Simplify 2.0 into 2.0 2.660 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.660 * [taylor]: Taking taylor expansion of y in x 2.660 * [backup-simplify]: Simplify y into y 2.660 * [taylor]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in x 2.660 * [taylor]: Rewrote expression to (+ (* x (+ x 2.0)) (pow y 2)) 2.660 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) in x 2.660 * [taylor]: Taking taylor expansion of x in x 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify 1 into 1 2.660 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 2.660 * [taylor]: Taking taylor expansion of x in x 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify 1 into 1 2.660 * [taylor]: Taking taylor expansion of 2.0 in x 2.660 * [backup-simplify]: Simplify 2.0 into 2.0 2.660 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.660 * [taylor]: Taking taylor expansion of y in x 2.660 * [backup-simplify]: Simplify y into y 2.661 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 2.661 * [backup-simplify]: Simplify (* 0 2.0) into 0 2.662 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.662 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.662 * [taylor]: Taking taylor expansion of y in y 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 1 into 1 2.662 * [backup-simplify]: Simplify (+ 1 0) into 1 2.664 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 2.0)) into 2.0 2.664 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.664 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 2.664 * [taylor]: Taking taylor expansion of 2.0 in y 2.664 * [backup-simplify]: Simplify 2.0 into 2.0 2.664 * [backup-simplify]: Simplify 2.0 into 2.0 2.665 * [backup-simplify]: Simplify (+ 0 0) into 0 2.666 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 2.0))) into 1 2.666 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.667 * [backup-simplify]: Simplify (+ 1 0) into 1 2.667 * [taylor]: Taking taylor expansion of 1 in y 2.667 * [backup-simplify]: Simplify 1 into 1 2.667 * [backup-simplify]: Simplify 1 into 1 2.667 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify (* 1 1) into 1 2.667 * [backup-simplify]: Simplify 1 into 1 2.668 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 1 (pow (* 1 x) 2)) (* 2.0 (* 1 x)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 x))) 2.668 * [backup-simplify]: Simplify (fma (/ 1 x) (+ 2.0 (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) 2.668 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in (x y) around 0 2.668 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in y 2.668 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 x) 2.0)) (/ 1 (pow y 2))) 2.668 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 x) 2.0)) in y 2.668 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.668 * [taylor]: Taking taylor expansion of x in y 2.668 * [backup-simplify]: Simplify x into x 2.669 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.669 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in y 2.669 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.669 * [taylor]: Taking taylor expansion of x in y 2.669 * [backup-simplify]: Simplify x into x 2.669 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.669 * [taylor]: Taking taylor expansion of 2.0 in y 2.669 * [backup-simplify]: Simplify 2.0 into 2.0 2.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.669 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.669 * [taylor]: Taking taylor expansion of y in y 2.669 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify 1 into 1 2.669 * [backup-simplify]: Simplify (* 1 1) into 1 2.670 * [backup-simplify]: Simplify (/ 1 1) into 1 2.670 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in x 2.670 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 x) 2.0)) (/ 1 (pow y 2))) 2.670 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 x) 2.0)) in x 2.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.670 * [taylor]: Taking taylor expansion of x in x 2.670 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify 1 into 1 2.670 * [backup-simplify]: Simplify (/ 1 1) into 1 2.670 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 2.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.670 * [taylor]: Taking taylor expansion of x in x 2.670 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify 1 into 1 2.671 * [backup-simplify]: Simplify (/ 1 1) into 1 2.671 * [taylor]: Taking taylor expansion of 2.0 in x 2.671 * [backup-simplify]: Simplify 2.0 into 2.0 2.671 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.671 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.671 * [taylor]: Taking taylor expansion of y in x 2.671 * [backup-simplify]: Simplify y into y 2.671 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.671 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.671 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in x 2.671 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 x) 2.0)) (/ 1 (pow y 2))) 2.671 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 x) 2.0)) in x 2.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.672 * [taylor]: Taking taylor expansion of x in x 2.672 * [backup-simplify]: Simplify 0 into 0 2.672 * [backup-simplify]: Simplify 1 into 1 2.672 * [backup-simplify]: Simplify (/ 1 1) into 1 2.672 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 2.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.672 * [taylor]: Taking taylor expansion of x in x 2.672 * [backup-simplify]: Simplify 0 into 0 2.672 * [backup-simplify]: Simplify 1 into 1 2.672 * [backup-simplify]: Simplify (/ 1 1) into 1 2.672 * [taylor]: Taking taylor expansion of 2.0 in x 2.673 * [backup-simplify]: Simplify 2.0 into 2.0 2.673 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.673 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.673 * [taylor]: Taking taylor expansion of y in x 2.673 * [backup-simplify]: Simplify y into y 2.673 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.673 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.673 * [backup-simplify]: Simplify (+ 1 0) into 1 2.674 * [backup-simplify]: Simplify (* 1 1) into 1 2.674 * [backup-simplify]: Simplify (+ 1 0) into 1 2.674 * [taylor]: Taking taylor expansion of 1 in y 2.674 * [backup-simplify]: Simplify 1 into 1 2.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.675 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 2.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.678 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 0 1)) into 2.0 2.678 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 2.678 * [taylor]: Taking taylor expansion of 2.0 in y 2.678 * [backup-simplify]: Simplify 2.0 into 2.0 2.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.679 * [backup-simplify]: Simplify (+ 0 0) into 0 2.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 2.0) (* 0 1))) into 0 2.681 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.682 * [taylor]: Taking taylor expansion of y in y 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify 1 into 1 2.682 * [backup-simplify]: Simplify (* 1 1) into 1 2.682 * [backup-simplify]: Simplify (/ 1 1) into 1 2.682 * [backup-simplify]: Simplify 1 into 1 2.682 * [backup-simplify]: Simplify 1 into 1 2.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.684 * [backup-simplify]: Simplify (+ 0 0) into 0 2.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 1)))) into 0 2.686 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.687 * [backup-simplify]: Simplify (+ 0 0) into 0 2.687 * [taylor]: Taking taylor expansion of 0 in y 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 2.0 into 2.0 2.689 * [backup-simplify]: Simplify (+ (* 2.0 (* 1 (/ 1 (/ 1 x)))) (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (* 2.0 x) (+ (pow x 2) (pow y 2))) 2.689 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (+ 2.0 (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) 2.689 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in (x y) around 0 2.689 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in y 2.689 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- 2.0 (/ 1 x))) (/ 1 (pow y 2))) 2.689 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- 2.0 (/ 1 x))) in y 2.689 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.689 * [taylor]: Taking taylor expansion of -1 in y 2.690 * [backup-simplify]: Simplify -1 into -1 2.690 * [taylor]: Taking taylor expansion of x in y 2.690 * [backup-simplify]: Simplify x into x 2.690 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.690 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in y 2.690 * [taylor]: Taking taylor expansion of 2.0 in y 2.690 * [backup-simplify]: Simplify 2.0 into 2.0 2.690 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.690 * [taylor]: Taking taylor expansion of x in y 2.690 * [backup-simplify]: Simplify x into x 2.690 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.690 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.690 * [taylor]: Taking taylor expansion of y in y 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify 1 into 1 2.690 * [backup-simplify]: Simplify (* 1 1) into 1 2.691 * [backup-simplify]: Simplify (/ 1 1) into 1 2.691 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in x 2.691 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- 2.0 (/ 1 x))) (/ 1 (pow y 2))) 2.691 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- 2.0 (/ 1 x))) in x 2.691 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.691 * [taylor]: Taking taylor expansion of -1 in x 2.691 * [backup-simplify]: Simplify -1 into -1 2.691 * [taylor]: Taking taylor expansion of x in x 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.692 * [backup-simplify]: Simplify (/ -1 1) into -1 2.692 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 2.692 * [taylor]: Taking taylor expansion of 2.0 in x 2.692 * [backup-simplify]: Simplify 2.0 into 2.0 2.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.692 * [taylor]: Taking taylor expansion of x in x 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [backup-simplify]: Simplify (/ 1 1) into 1 2.692 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.692 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.692 * [taylor]: Taking taylor expansion of y in x 2.692 * [backup-simplify]: Simplify y into y 2.692 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.692 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.692 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in x 2.693 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- 2.0 (/ 1 x))) (/ 1 (pow y 2))) 2.693 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- 2.0 (/ 1 x))) in x 2.693 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.693 * [taylor]: Taking taylor expansion of -1 in x 2.693 * [backup-simplify]: Simplify -1 into -1 2.693 * [taylor]: Taking taylor expansion of x in x 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.693 * [backup-simplify]: Simplify (/ -1 1) into -1 2.693 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 2.693 * [taylor]: Taking taylor expansion of 2.0 in x 2.693 * [backup-simplify]: Simplify 2.0 into 2.0 2.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.693 * [taylor]: Taking taylor expansion of x in x 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.694 * [backup-simplify]: Simplify (/ 1 1) into 1 2.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.694 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.694 * [taylor]: Taking taylor expansion of y in x 2.694 * [backup-simplify]: Simplify y into y 2.694 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.694 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.695 * [backup-simplify]: Simplify (- 1) into -1 2.695 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.695 * [backup-simplify]: Simplify (* -1 -1) into 1 2.696 * [backup-simplify]: Simplify (+ 1 0) into 1 2.696 * [taylor]: Taking taylor expansion of 1 in y 2.696 * [backup-simplify]: Simplify 1 into 1 2.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.697 * [backup-simplify]: Simplify (- 0) into 0 2.698 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 2.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.700 * [backup-simplify]: Simplify (+ (* -1 2.0) (* 0 -1)) into (- 2.0) 2.701 * [backup-simplify]: Simplify (+ (- 2.0) 0) into (- 2.0) 2.701 * [taylor]: Taking taylor expansion of (- 2.0) in y 2.701 * [taylor]: Taking taylor expansion of 2.0 in y 2.701 * [backup-simplify]: Simplify 2.0 into 2.0 2.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.702 * [backup-simplify]: Simplify (- 0) into 0 2.703 * [backup-simplify]: Simplify (+ 0 0) into 0 2.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.704 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 2.0) (* 0 -1))) into 0 2.705 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.705 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.705 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.705 * [taylor]: Taking taylor expansion of y in y 2.705 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify 1 into 1 2.705 * [backup-simplify]: Simplify (* 1 1) into 1 2.706 * [backup-simplify]: Simplify (/ 1 1) into 1 2.706 * [backup-simplify]: Simplify 1 into 1 2.706 * [backup-simplify]: Simplify 1 into 1 2.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.707 * [backup-simplify]: Simplify (- 0) into 0 2.707 * [backup-simplify]: Simplify (+ 0 0) into 0 2.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.710 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1)))) into 0 2.710 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.710 * [backup-simplify]: Simplify (+ 0 0) into 0 2.710 * [taylor]: Taking taylor expansion of 0 in y 2.710 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 2.713 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 2.714 * [backup-simplify]: Simplify (+ (* (- 2.0) (* 1 (/ 1 (/ 1 (- x))))) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (* 2.0 x) (+ (pow x 2) (pow y 2))) 2.714 * * * [progress]: simplifying candidates 2.714 * [simplify]: Simplifying: (expm1 (fma x (+ 2.0 x) (* y y))) (log1p (fma x (+ 2.0 x) (* y y))) (* x (+ 2.0 x)) (log (fma x (+ 2.0 x) (* y y))) (exp (fma x (+ 2.0 x) (* y y))) (* (cbrt (fma x (+ 2.0 x) (* y y))) (cbrt (fma x (+ 2.0 x) (* y y)))) (cbrt (fma x (+ 2.0 x) (* y y))) (* (* (fma x (+ 2.0 x) (* y y)) (fma x (+ 2.0 x) (* y y))) (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))) (+ (pow y 2) (+ (pow x 2) (* 2.0 x))) (+ (* 2.0 x) (+ (pow x 2) (pow y 2))) (+ (* 2.0 x) (+ (pow x 2) (pow y 2))) 2.714 * * [simplify]: iteration 0: 24 enodes 2.722 * * [simplify]: iteration 1: 46 enodes 2.743 * * [simplify]: iteration 2: 190 enodes 2.920 * * [simplify]: iteration 3: 1367 enodes 3.404 * * [simplify]: iteration complete: 5002 enodes 3.404 * * [simplify]: Extracting #0: cost 10 inf + 0 3.405 * * [simplify]: Extracting #1: cost 278 inf + 0 3.407 * * [simplify]: Extracting #2: cost 733 inf + 373 3.413 * * [simplify]: Extracting #3: cost 1502 inf + 5237 3.419 * * [simplify]: Extracting #4: cost 12 inf + 24324 3.426 * * [simplify]: Extracting #5: cost 0 inf + 24445 3.437 * * [simplify]: Extracting #6: cost 0 inf + 24443 3.443 * [simplify]: Simplified to: (expm1 (fma x (+ x 2.0) (* y y))) (log1p (fma x (+ x 2.0) (* y y))) (* x (+ x 2.0)) (log (fma x (+ x 2.0) (* y y))) (exp (fma x (+ x 2.0) (* y y))) (* (cbrt (fma x (+ x 2.0) (* y y))) (cbrt (fma x (+ x 2.0) (* y y)))) (cbrt (fma x (+ x 2.0) (* y y))) (pow (fma x (+ x 2.0) (* y y)) 3) (sqrt (fma x (+ x 2.0) (* y y))) (sqrt (fma x (+ x 2.0) (* y y))) (fma x (+ x 2.0) (* y y)) (fma x (+ x 2.0) (* y y)) (fma x (+ x 2.0) (* y y)) 3.443 * * * [progress]: adding candidates to table 3.513 * [progress]: [Phase 3 of 3] Extracting. 3.513 * * [regime]: Finding splitpoints for: (# # #) 3.514 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ (* x 2.0) (* x x)) (+ (+ (* x 2.0) (* x x)) (* y y)) y x) 3.514 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 3.554 * * * * [regimes]: Trying to branch on (* y y) from (# #) 3.585 * * * * [regimes]: Trying to branch on (+ (* x 2.0) (* x x)) from (# # #) 3.652 * * * * [regimes]: Trying to branch on (+ (+ (* x 2.0) (* x x)) (* y y)) from (# # #) 3.701 * * * * [regimes]: Trying to branch on y from (# # #) 3.760 * * * * [regimes]: Trying to branch on x from (# # #) 3.792 * * * [regime]: Found split indices: #