5.717 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (- (* (+ x 1.0) y) x) 0.017 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.018 * * [simplify]: iteration 1 : 21 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 49 enodes (cost 3 ) 0.021 * * [simplify]: iteration 3 : 73 enodes (cost 3 ) 0.023 * * [simplify]: iteration 4 : 77 enodes (cost 3 ) 0.024 * * [simplify]: iteration 5 : 89 enodes (cost 3 ) 0.026 * * [simplify]: iteration 6 : 109 enodes (cost 3 ) 0.028 * * [simplify]: iteration 7 : 153 enodes (cost 3 ) 0.031 * * [simplify]: iteration 8 : 264 enodes (cost 3 ) 0.034 * * [simplify]: iteration 9 : 538 enodes (cost 3 ) 0.037 * * [simplify]: iteration 10 : 627 enodes (cost 3 ) 0.041 * * [simplify]: iteration 11 : 835 enodes (cost 3 ) 0.047 * * [simplify]: iteration 12 : 1156 enodes (cost 3 ) 0.057 * * [simplify]: iteration 13 : 1609 enodes (cost 3 ) 0.068 * * [simplify]: iteration 14 : 2088 enodes (cost 3 ) 0.084 * * [simplify]: iteration 15 : 2831 enodes (cost 3 ) 0.114 * * [simplify]: iteration 16 : 5001 enodes (cost 3 ) 0.114 * [simplify]: Simplified to: (- (* (+ x 1.0) y) x) 0.117 * * [progress]: iteration 1 / 4 0.117 * * * [progress]: picking best candidate 0.119 * * * * [pick]: Picked # 0.119 * * * [progress]: localizing error 0.123 * * * [progress]: generating rewritten candidates 0.123 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.129 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.136 * * * [progress]: generating series expansions 0.136 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.136 * [approximate]: Taking taylor expansion of (* y (+ x 1.0)) in (x y) around 0 0.136 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.136 * [taylor]: Taking taylor expansion of (+ x 1.0) in y 0.136 * [taylor]: Taking taylor expansion of x in y 0.136 * [taylor]: Taking taylor expansion of 1.0 in y 0.136 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.137 * [taylor]: Taking taylor expansion of 1.0 in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.142 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in (x y) around 0 0.143 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in y 0.143 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in y 0.143 * [taylor]: Taking taylor expansion of 1.0 in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.143 * [taylor]: Taking taylor expansion of x in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in x 0.143 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in x 0.143 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.146 * [taylor]: Taking taylor expansion of 1.0 in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of 0 in y 0.150 * [taylor]: Taking taylor expansion of 0 in y 0.151 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in (x y) around 0 0.151 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in y 0.151 * [taylor]: Taking taylor expansion of -1 in y 0.151 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) y) in y 0.151 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in y 0.151 * [taylor]: Taking taylor expansion of 1.0 in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.151 * [taylor]: Taking taylor expansion of x in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in x 0.152 * [taylor]: Taking taylor expansion of -1 in x 0.152 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) y) in x 0.152 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.152 * [taylor]: Taking taylor expansion of 1.0 in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in x 0.153 * [taylor]: Taking taylor expansion of -1 in x 0.153 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) y) in x 0.153 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.155 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y))) in y 0.155 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.155 * [taylor]: Taking taylor expansion of 1.0 in y 0.155 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.163 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.163 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 y) (* x y)) x) in (x y) around 0 0.163 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 y) (* x y)) x) in y 0.163 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) (* x y)) in y 0.163 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.163 * [taylor]: Taking taylor expansion of 1.0 in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of (* x y) in y 0.163 * [taylor]: Taking taylor expansion of x in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of x in y 0.163 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 y) (* x y)) x) in x 0.163 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) (* x y)) in x 0.163 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of (* x y) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 y) (* x y)) x) in x 0.163 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) (* x y)) in x 0.164 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [taylor]: Taking taylor expansion of (* x y) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.164 * [taylor]: Taking taylor expansion of 1.0 in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of (- y 1) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of 1 in y 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) (/ 1 x)) in (x y) around 0 0.169 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) (/ 1 x)) in y 0.169 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) in y 0.169 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.169 * [taylor]: Taking taylor expansion of 1.0 in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.169 * [taylor]: Taking taylor expansion of (* x y) in y 0.169 * [taylor]: Taking taylor expansion of x in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.170 * [taylor]: Taking taylor expansion of x in y 0.170 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) in x 0.170 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.170 * [taylor]: Taking taylor expansion of 1.0 in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.170 * [taylor]: Taking taylor expansion of (* x y) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) (/ 1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) in x 0.171 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.171 * [taylor]: Taking taylor expansion of (* x y) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1) in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of 1 in y 0.174 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.174 * [taylor]: Taking taylor expansion of 1.0 in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.175 * [approximate]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 (* x y))) (* 1.0 (/ 1 y))) in (x y) around 0 0.175 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 (* x y))) (* 1.0 (/ 1 y))) in y 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.176 * [taylor]: Taking taylor expansion of x in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.176 * [taylor]: Taking taylor expansion of (* x y) in y 0.176 * [taylor]: Taking taylor expansion of x in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.176 * [taylor]: Taking taylor expansion of 1.0 in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 (* x y))) (* 1.0 (/ 1 y))) in x 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.177 * [taylor]: Taking taylor expansion of (* x y) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.177 * [taylor]: Taking taylor expansion of 1.0 in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 (* x y))) (* 1.0 (/ 1 y))) in x 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.177 * [taylor]: Taking taylor expansion of (* x y) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.178 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.178 * [taylor]: Taking taylor expansion of 1.0 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 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of 1 in y 0.180 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y))) in y 0.180 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.180 * [taylor]: Taking taylor expansion of 1.0 in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.182 * * * [progress]: simplifying candidates 0.183 * [simplify]: Simplifying using # : (expm1 (* (+ x 1.0) y)) (log1p (* (+ x 1.0) y)) (* (+ x 1.0) y) (+ (log (+ x 1.0)) (log y)) (log (* (+ x 1.0) y)) (exp (* (+ x 1.0) y)) (* (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* y y) y)) (* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y))) (cbrt (* (+ x 1.0) y)) (* (* (* (+ x 1.0) y) (* (+ x 1.0) y)) (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)) (* (sqrt (+ x 1.0)) (sqrt y)) (* (sqrt (+ x 1.0)) (sqrt y)) (* (+ x 1.0) (* (cbrt y) (cbrt y))) (* (+ x 1.0) (sqrt y)) (* (+ x 1.0) 1) (* (cbrt (+ x 1.0)) y) (* (sqrt (+ x 1.0)) y) (* (+ x 1.0) y) (* (+ x 1.0) y) (* (+ (pow x 3) (pow 1.0 3)) y) (* (- (* x x) (* 1.0 1.0)) y) (fma (+ x 1.0) y (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma (+ x 1.0) y (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma (+ x 1.0) y (- (* x 1))) (fma (- x) 1 (* x 1)) (expm1 (- (* (+ x 1.0) y) x)) (log1p (- (* (+ x 1.0) y) x)) (- x) (/ (exp (* (+ x 1.0) y)) (exp x)) (log (- (* (+ x 1.0) y) x)) (exp (- (* (+ x 1.0) y) x)) (* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x))) (cbrt (- (* (+ x 1.0) y) x)) (* (* (- (* (+ x 1.0) y) x) (- (* (+ x 1.0) y) x)) (- (* (+ x 1.0) y) x)) (sqrt (- (* (+ x 1.0) y) x)) (sqrt (- (* (+ x 1.0) y) x)) (- (pow (* (+ x 1.0) y) 3) (pow x 3)) (+ (* (* (+ x 1.0) y) (* (+ x 1.0) y)) (+ (* x x) (* (* (+ x 1.0) y) x))) (- x) (- (* (* (+ x 1.0) y) (* (+ x 1.0) y)) (* x x)) (+ (* (+ x 1.0) y) x) (- x) (+ (* 1.0 y) (* x y)) (+ (* 1.0 y) (* x y)) (+ (* 1.0 y) (* x y)) (- (+ (* 1.0 y) (* x y)) x) (- (+ (* 1.0 y) (* x y)) x) (- (+ (* 1.0 y) (* x y)) x) 0.186 * * [simplify]: iteration 0 : 194 enodes (cost 202 ) 0.191 * * [simplify]: iteration 1 : 893 enodes (cost 173 ) 0.212 * * [simplify]: iteration 2 : 4898 enodes (cost 169 ) 0.310 * * [simplify]: iteration 3 : 5001 enodes (cost 169 ) 0.311 * [simplify]: Simplified to: (expm1 (* (+ x 1.0) y)) (log1p (* (+ x 1.0) y)) (fma 1.0 y (* x y)) (log (* (+ x 1.0) y)) (log (* (+ x 1.0) y)) (exp (* (+ x 1.0) y)) (pow (* (+ x 1.0) y) 3) (* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y))) (cbrt (* (+ x 1.0) y)) (pow (* (+ x 1.0) y) 3) (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)) (* (sqrt (+ x 1.0)) (sqrt y)) (* (sqrt (+ x 1.0)) (sqrt y)) (* (+ x 1.0) (* (cbrt y) (cbrt y))) (* (+ x 1.0) (sqrt y)) (+ x 1.0) (* (cbrt (+ x 1.0)) y) (* (sqrt (+ x 1.0)) y) (fma 1.0 y (* x y)) (fma 1.0 y (* x y)) (* (+ (pow x 3) (pow 1.0 3)) y) (* (- (* x x) (* 1.0 1.0)) y) (- (* (+ x 1.0) y) x) (- x x) (- (* (+ x 1.0) y) x) (- x x) (- (* (+ x 1.0) y) x) (- x x) (expm1 (- (* (+ x 1.0) y) x)) (log1p (- (* (+ x 1.0) y) x)) (- x) (exp (- (* (+ x 1.0) y) x)) (log (- (* (+ x 1.0) y) x)) (exp (- (* (+ x 1.0) y) x)) (* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x))) (cbrt (- (* (+ x 1.0) y) x)) (pow (- (* (+ x 1.0) y) x) 3) (sqrt (- (* (+ x 1.0) y) x)) (sqrt (- (* (+ x 1.0) y) x)) (- (pow (* (+ x 1.0) y) 3) (pow x 3)) (+ (* x x) (* (fma 1.0 y (* x y)) (fma (+ x 1.0) y x))) (- x) (* (fma (+ x 1.0) y x) (- (* (+ x 1.0) y) x)) (fma (+ x 1.0) y x) (- x) (fma 1.0 y (* x y)) (fma 1.0 y (* x y)) (fma 1.0 y (* x y)) (- (* (+ x 1.0) y) x) (- (* (+ x 1.0) y) x) (- (* (+ x 1.0) y) x) 0.311 * * * [progress]: adding candidates to table 0.388 * * [progress]: iteration 2 / 4 0.388 * * * [progress]: picking best candidate 0.394 * * * * [pick]: Picked # 0.394 * * * [progress]: localizing error 0.399 * * * [progress]: generating rewritten candidates 0.399 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.400 * * * [progress]: generating series expansions 0.400 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.400 * [approximate]: Taking taylor expansion of (fma (+ x 1.0) y (- x)) in (x y) around 0 0.400 * [taylor]: Taking taylor expansion of (fma (+ x 1.0) y (- x)) in y 0.400 * [taylor]: Rewrote expression to (+ (* (+ x 1.0) y) (- x)) 0.400 * [taylor]: Taking taylor expansion of (* (+ x 1.0) y) in y 0.400 * [taylor]: Taking taylor expansion of (+ x 1.0) in y 0.400 * [taylor]: Taking taylor expansion of x in y 0.400 * [taylor]: Taking taylor expansion of 1.0 in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of (- x) in y 0.400 * [taylor]: Taking taylor expansion of x in y 0.400 * [taylor]: Taking taylor expansion of (fma (+ x 1.0) y (- x)) in x 0.400 * [taylor]: Rewrote expression to (+ (* (+ x 1.0) y) (- x)) 0.401 * [taylor]: Taking taylor expansion of (* (+ x 1.0) y) in x 0.401 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.401 * [taylor]: Taking taylor expansion of (- x) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (fma (+ x 1.0) y (- x)) in x 0.401 * [taylor]: Rewrote expression to (+ (* (+ x 1.0) y) (- x)) 0.401 * [taylor]: Taking taylor expansion of (* (+ x 1.0) y) in x 0.401 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.401 * [taylor]: Taking taylor expansion of (- x) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.402 * [taylor]: Taking taylor expansion of 1.0 in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of (- y 1) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of 1 in y 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [approximate]: Taking taylor expansion of (fma (+ 1.0 (/ 1 x)) (/ 1 y) (- (/ 1 x))) in (x y) around 0 0.406 * [taylor]: Taking taylor expansion of (fma (+ 1.0 (/ 1 x)) (/ 1 y) (- (/ 1 x))) in y 0.406 * [taylor]: Rewrote expression to (+ (* (+ 1.0 (/ 1 x)) (/ 1 y)) (- (/ 1 x))) 0.406 * [taylor]: Taking taylor expansion of (* (+ 1.0 (/ 1 x)) (/ 1 y)) in y 0.406 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in y 0.406 * [taylor]: Taking taylor expansion of 1.0 in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.406 * [taylor]: Taking taylor expansion of x in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.407 * [taylor]: Taking taylor expansion of (fma (+ 1.0 (/ 1 x)) (/ 1 y) (- (/ 1 x))) in x 0.407 * [taylor]: Rewrote expression to (+ (* (+ 1.0 (/ 1 x)) (/ 1 y)) (- (/ 1 x))) 0.407 * [taylor]: Taking taylor expansion of (* (+ 1.0 (/ 1 x)) (/ 1 y)) in x 0.407 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.407 * [taylor]: Taking taylor expansion of 1.0 in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (fma (+ 1.0 (/ 1 x)) (/ 1 y) (- (/ 1 x))) in x 0.408 * [taylor]: Rewrote expression to (+ (* (+ 1.0 (/ 1 x)) (/ 1 y)) (- (/ 1 x))) 0.408 * [taylor]: Taking taylor expansion of (* (+ 1.0 (/ 1 x)) (/ 1 y)) in x 0.408 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1) in y 0.409 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of 1 in y 0.412 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.412 * [taylor]: Taking taylor expansion of 1.0 in y 0.412 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.413 * [approximate]: Taking taylor expansion of (fma (- 1.0 (/ 1 x)) (/ -1 y) (/ 1 x)) in (x y) around 0 0.413 * [taylor]: Taking taylor expansion of (fma (- 1.0 (/ 1 x)) (/ -1 y) (/ 1 x)) in y 0.414 * [taylor]: Rewrote expression to (+ (* (- 1.0 (/ 1 x)) (/ -1 y)) (/ 1 x)) 0.414 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (/ -1 y)) in y 0.414 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in y 0.414 * [taylor]: Taking taylor expansion of 1.0 in y 0.414 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.414 * [taylor]: Taking taylor expansion of x in y 0.414 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.414 * [taylor]: Taking taylor expansion of -1 in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.414 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.414 * [taylor]: Taking taylor expansion of x in y 0.414 * [taylor]: Taking taylor expansion of (fma (- 1.0 (/ 1 x)) (/ -1 y) (/ 1 x)) in x 0.414 * [taylor]: Rewrote expression to (+ (* (- 1.0 (/ 1 x)) (/ -1 y)) (/ 1 x)) 0.414 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (/ -1 y)) in x 0.414 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.414 * [taylor]: Taking taylor expansion of 1.0 in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.415 * [taylor]: Taking taylor expansion of -1 in x 0.415 * [taylor]: Taking taylor expansion of y in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (fma (- 1.0 (/ 1 x)) (/ -1 y) (/ 1 x)) in x 0.415 * [taylor]: Rewrote expression to (+ (* (- 1.0 (/ 1 x)) (/ -1 y)) (/ 1 x)) 0.415 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (/ -1 y)) in x 0.415 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.415 * [taylor]: Taking taylor expansion of 1.0 in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.415 * [taylor]: Taking taylor expansion of -1 in x 0.415 * [taylor]: Taking taylor expansion of y in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1) in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of 1 in y 0.419 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y))) in y 0.419 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.419 * [taylor]: Taking taylor expansion of 1.0 in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.421 * * * [progress]: simplifying candidates 0.421 * [simplify]: Simplifying using # : (expm1 (fma (+ x 1.0) y (- x))) (log1p (fma (+ x 1.0) y (- x))) (* (+ x 1.0) y) (log (fma (+ x 1.0) y (- x))) (exp (fma (+ x 1.0) y (- x))) (* (cbrt (fma (+ x 1.0) y (- x))) (cbrt (fma (+ x 1.0) y (- x)))) (cbrt (fma (+ x 1.0) y (- x))) (* (* (fma (+ x 1.0) y (- x)) (fma (+ x 1.0) y (- x))) (fma (+ x 1.0) y (- x))) (sqrt (fma (+ x 1.0) y (- x))) (sqrt (fma (+ x 1.0) y (- x))) (- (+ (* 1.0 y) (* x y)) x) (- (+ (* 1.0 y) (* x y)) x) (- (+ (* 1.0 y) (* x y)) x) 0.424 * * [simplify]: iteration 0 : 32 enodes (cost 59 ) 0.425 * * [simplify]: iteration 1 : 87 enodes (cost 52 ) 0.428 * * [simplify]: iteration 2 : 419 enodes (cost 52 ) 0.437 * * [simplify]: iteration 3 : 2620 enodes (cost 52 ) 0.488 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.489 * [simplify]: Simplified to: (expm1 (fma (+ x 1.0) y (- x))) (log1p (fma (+ x 1.0) y (- x))) (fma 1.0 y (* x y)) (log (fma (+ x 1.0) y (- x))) (exp (fma (+ x 1.0) y (- x))) (* (cbrt (fma (+ x 1.0) y (- x))) (cbrt (fma (+ x 1.0) y (- x)))) (cbrt (fma (+ x 1.0) y (- x))) (pow (fma (+ x 1.0) y (- x)) 3) (sqrt (fma (+ x 1.0) y (- x))) (sqrt (fma (+ x 1.0) y (- x))) (fma (+ x 1.0) y (- x)) (fma (+ x 1.0) y (- x)) (fma (+ x 1.0) y (- x)) 0.489 * * * [progress]: adding candidates to table 0.515 * * [progress]: iteration 3 / 4 0.515 * * * [progress]: picking best candidate 0.519 * * * * [pick]: Picked # 0.519 * * * [progress]: localizing error 0.527 * * * [progress]: generating rewritten candidates 0.527 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.533 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.536 * * * [progress]: generating series expansions 0.536 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.536 * [approximate]: Taking taylor expansion of (- (fma 1.0 y (* x y)) x) in (y x) around 0 0.536 * [taylor]: Taking taylor expansion of (- (fma 1.0 y (* x y)) x) in x 0.536 * [taylor]: Taking taylor expansion of (fma 1.0 y (* x y)) in x 0.536 * [taylor]: Rewrote expression to (+ (* 1.0 y) (* x y)) 0.536 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.536 * [taylor]: Taking taylor expansion of 1.0 in x 0.536 * [taylor]: Taking taylor expansion of y in x 0.536 * [taylor]: Taking taylor expansion of (* x y) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of y in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of (- (fma 1.0 y (* x y)) x) in y 0.536 * [taylor]: Taking taylor expansion of (fma 1.0 y (* x y)) in y 0.536 * [taylor]: Rewrote expression to (+ (* 1.0 y) (* x y)) 0.537 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.537 * [taylor]: Taking taylor expansion of 1.0 in y 0.537 * [taylor]: Taking taylor expansion of y in y 0.537 * [taylor]: Taking taylor expansion of (* x y) in y 0.537 * [taylor]: Taking taylor expansion of x in y 0.537 * [taylor]: Taking taylor expansion of y in y 0.537 * [taylor]: Taking taylor expansion of x in y 0.537 * [taylor]: Taking taylor expansion of (- (fma 1.0 y (* x y)) x) in y 0.537 * [taylor]: Taking taylor expansion of (fma 1.0 y (* x y)) in y 0.537 * [taylor]: Rewrote expression to (+ (* 1.0 y) (* x y)) 0.537 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.537 * [taylor]: Taking taylor expansion of 1.0 in y 0.537 * [taylor]: Taking taylor expansion of y in y 0.537 * [taylor]: Taking taylor expansion of (* x y) in y 0.537 * [taylor]: Taking taylor expansion of x in y 0.537 * [taylor]: Taking taylor expansion of y in y 0.537 * [taylor]: Taking taylor expansion of x in y 0.538 * [taylor]: Taking taylor expansion of (- x) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of 1.0 in x 0.542 * [taylor]: Taking taylor expansion of 0 in x 0.542 * [approximate]: Taking taylor expansion of (- (fma 1.0 (/ 1 y) (/ 1 (* x y))) (/ 1 x)) in (y x) around 0 0.542 * [taylor]: Taking taylor expansion of (- (fma 1.0 (/ 1 y) (/ 1 (* x y))) (/ 1 x)) in x 0.542 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in x 0.543 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) 0.543 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.543 * [taylor]: Taking taylor expansion of 1.0 in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.543 * [taylor]: Taking taylor expansion of y in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.543 * [taylor]: Taking taylor expansion of (* x y) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of y in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of (- (fma 1.0 (/ 1 y) (/ 1 (* x y))) (/ 1 x)) in y 0.543 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in y 0.544 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) 0.544 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.544 * [taylor]: Taking taylor expansion of 1.0 in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.544 * [taylor]: Taking taylor expansion of (* x y) in y 0.544 * [taylor]: Taking taylor expansion of x in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.544 * [taylor]: Taking taylor expansion of x in y 0.544 * [taylor]: Taking taylor expansion of (- (fma 1.0 (/ 1 y) (/ 1 (* x y))) (/ 1 x)) in y 0.544 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in y 0.544 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) 0.544 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.544 * [taylor]: Taking taylor expansion of 1.0 in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.545 * [taylor]: Taking taylor expansion of (* x y) in y 0.545 * [taylor]: Taking taylor expansion of x in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.545 * [taylor]: Taking taylor expansion of x in y 0.546 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.548 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.550 * [approximate]: Taking taylor expansion of (+ (/ 1 x) (fma 1.0 (/ -1 y) (/ 1 (* x y)))) in (y x) around 0 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (fma 1.0 (/ -1 y) (/ 1 (* x y)))) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in x 0.550 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (/ 1 (* x y))) 0.550 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in x 0.550 * [taylor]: Taking taylor expansion of 1.0 in x 0.550 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.550 * [taylor]: Taking taylor expansion of -1 in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.550 * [taylor]: Taking taylor expansion of (* x y) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.551 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (fma 1.0 (/ -1 y) (/ 1 (* x y)))) in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.551 * [taylor]: Taking taylor expansion of x in y 0.551 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in y 0.551 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (/ 1 (* x y))) 0.551 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in y 0.551 * [taylor]: Taking taylor expansion of 1.0 in y 0.551 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.551 * [taylor]: Taking taylor expansion of -1 in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.551 * [taylor]: Taking taylor expansion of (* x y) in y 0.551 * [taylor]: Taking taylor expansion of x in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (fma 1.0 (/ -1 y) (/ 1 (* x y)))) in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.552 * [taylor]: Taking taylor expansion of x in y 0.552 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in y 0.552 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (/ 1 (* x y))) 0.552 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in y 0.552 * [taylor]: Taking taylor expansion of 1.0 in y 0.552 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.552 * [taylor]: Taking taylor expansion of -1 in y 0.552 * [taylor]: Taking taylor expansion of y in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.552 * [taylor]: Taking taylor expansion of (* x y) in y 0.552 * [taylor]: Taking taylor expansion of x in y 0.552 * [taylor]: Taking taylor expansion of y in y 0.553 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of 1.0 in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.558 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.558 * [approximate]: Taking taylor expansion of (fma 1.0 y (* x y)) in (y x) around 0 0.558 * [taylor]: Taking taylor expansion of (fma 1.0 y (* x y)) in x 0.558 * [taylor]: Rewrote expression to (+ (* 1.0 y) (* x y)) 0.558 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.558 * [taylor]: Taking taylor expansion of 1.0 in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of (* x y) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of (fma 1.0 y (* x y)) in y 0.558 * [taylor]: Rewrote expression to (+ (* 1.0 y) (* x y)) 0.558 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.558 * [taylor]: Taking taylor expansion of 1.0 in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.558 * [taylor]: Taking taylor expansion of (* x y) in y 0.558 * [taylor]: Taking taylor expansion of x in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.558 * [taylor]: Taking taylor expansion of (fma 1.0 y (* x y)) in y 0.559 * [taylor]: Rewrote expression to (+ (* 1.0 y) (* x y)) 0.559 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.559 * [taylor]: Taking taylor expansion of 1.0 in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of (* x y) in y 0.559 * [taylor]: Taking taylor expansion of x in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of 0 in x 0.561 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of 1.0 in x 0.562 * [taylor]: Taking taylor expansion of 0 in x 0.564 * [taylor]: Taking taylor expansion of 0 in x 0.565 * [taylor]: Taking taylor expansion of 0 in x 0.566 * [approximate]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in (y x) around 0 0.566 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in x 0.566 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) 0.566 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.566 * [taylor]: Taking taylor expansion of 1.0 in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.566 * [taylor]: Taking taylor expansion of y in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.566 * [taylor]: Taking taylor expansion of (* x y) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of y in x 0.567 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in y 0.567 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) 0.567 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.567 * [taylor]: Taking taylor expansion of 1.0 in y 0.567 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.567 * [taylor]: Taking taylor expansion of (* x y) in y 0.567 * [taylor]: Taking taylor expansion of x in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in y 0.568 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) 0.568 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.568 * [taylor]: Taking taylor expansion of 1.0 in y 0.568 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.568 * [taylor]: Taking taylor expansion of y in y 0.568 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.568 * [taylor]: Taking taylor expansion of (* x y) in y 0.568 * [taylor]: Taking taylor expansion of x in y 0.568 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.575 * [taylor]: Taking taylor expansion of 0 in x 0.577 * [taylor]: Taking taylor expansion of 0 in x 0.580 * [taylor]: Taking taylor expansion of 0 in x 0.583 * [taylor]: Taking taylor expansion of 0 in x 0.583 * [approximate]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in (y x) around 0 0.583 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in x 0.583 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (/ 1 (* x y))) 0.583 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in x 0.583 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.584 * [taylor]: Taking taylor expansion of -1 in x 0.584 * [taylor]: Taking taylor expansion of y in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.584 * [taylor]: Taking taylor expansion of (* x y) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of y in x 0.584 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in y 0.584 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (/ 1 (* x y))) 0.584 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in y 0.584 * [taylor]: Taking taylor expansion of 1.0 in y 0.584 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.584 * [taylor]: Taking taylor expansion of -1 in y 0.584 * [taylor]: Taking taylor expansion of y in y 0.584 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.585 * [taylor]: Taking taylor expansion of (* x y) in y 0.585 * [taylor]: Taking taylor expansion of x in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.585 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in y 0.585 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (/ 1 (* x y))) 0.585 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in y 0.585 * [taylor]: Taking taylor expansion of 1.0 in y 0.585 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.585 * [taylor]: Taking taylor expansion of -1 in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.585 * [taylor]: Taking taylor expansion of (* x y) in y 0.585 * [taylor]: Taking taylor expansion of x in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of 1.0 in x 0.588 * [taylor]: Taking taylor expansion of 0 in x 0.592 * [taylor]: Taking taylor expansion of 0 in x 0.595 * [taylor]: Taking taylor expansion of 0 in x 0.598 * [taylor]: Taking taylor expansion of 0 in x 0.599 * * * [progress]: simplifying candidates 0.600 * [simplify]: Simplifying using # : (fma (pow (* (cbrt (fma 1.0 y (* x y))) (cbrt (fma 1.0 y (* x y)))) 1) (pow (cbrt (fma 1.0 y (* x y))) 1) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma (pow (* (cbrt (fma 1.0 y (* x y))) (cbrt (fma 1.0 y (* x y)))) 1) (pow (cbrt (fma 1.0 y (* x y))) 1) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma (pow (* (cbrt (fma 1.0 y (* x y))) (cbrt (fma 1.0 y (* x y)))) 1) (pow (cbrt (fma 1.0 y (* x y))) 1) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma (pow (sqrt (fma 1.0 y (* x y))) 1) (pow (sqrt (fma 1.0 y (* x y))) 1) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma (pow (sqrt (fma 1.0 y (* x y))) 1) (pow (sqrt (fma 1.0 y (* x y))) 1) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma (pow (sqrt (fma 1.0 y (* x y))) 1) (pow (sqrt (fma 1.0 y (* x y))) 1) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma (pow 1 1) (pow (fma 1.0 y (* x y)) 1) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma (pow 1 1) (pow (fma 1.0 y (* x y)) 1) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma (pow 1 1) (pow (fma 1.0 y (* x y)) 1) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma (* (cbrt (pow (fma 1.0 y (* x y)) 1)) (cbrt (pow (fma 1.0 y (* x y)) 1))) (cbrt (pow (fma 1.0 y (* x y)) 1)) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma (* (cbrt (pow (fma 1.0 y (* x y)) 1)) (cbrt (pow (fma 1.0 y (* x y)) 1))) (cbrt (pow (fma 1.0 y (* x y)) 1)) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma (* (cbrt (pow (fma 1.0 y (* x y)) 1)) (cbrt (pow (fma 1.0 y (* x y)) 1))) (cbrt (pow (fma 1.0 y (* x y)) 1)) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma (sqrt (pow (fma 1.0 y (* x y)) 1)) (sqrt (pow (fma 1.0 y (* x y)) 1)) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma (sqrt (pow (fma 1.0 y (* x y)) 1)) (sqrt (pow (fma 1.0 y (* x y)) 1)) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma (sqrt (pow (fma 1.0 y (* x y)) 1)) (sqrt (pow (fma 1.0 y (* x y)) 1)) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma 1 (pow (fma 1.0 y (* x y)) 1) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma 1 (pow (fma 1.0 y (* x y)) 1) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma 1 (pow (fma 1.0 y (* x y)) 1) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma (pow (fma 1.0 y (* x y)) (/ 1 2)) (pow (fma 1.0 y (* x y)) (/ 1 2)) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma (pow (fma 1.0 y (* x y)) (/ 1 2)) (pow (fma 1.0 y (* x y)) (/ 1 2)) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma (pow (fma 1.0 y (* x y)) (/ 1 2)) (pow (fma 1.0 y (* x y)) (/ 1 2)) (- (* x 1))) (fma (- x) 1 (* x 1)) (expm1 (- (pow (fma 1.0 y (* x y)) 1) x)) (log1p (- (pow (fma 1.0 y (* x y)) 1) x)) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (/ (exp (pow (fma 1.0 y (* x y)) 1)) (exp x)) (log (- (pow (fma 1.0 y (* x y)) 1) x)) (exp (- (pow (fma 1.0 y (* x y)) 1) x)) (* (cbrt (- (pow (fma 1.0 y (* x y)) 1) x)) (cbrt (- (pow (fma 1.0 y (* x y)) 1) x))) (cbrt (- (pow (fma 1.0 y (* x y)) 1) x)) (* (* (- (pow (fma 1.0 y (* x y)) 1) x) (- (pow (fma 1.0 y (* x y)) 1) x)) (- (pow (fma 1.0 y (* x y)) 1) x)) (sqrt (- (pow (fma 1.0 y (* x y)) 1) x)) (sqrt (- (pow (fma 1.0 y (* x y)) 1) x)) (- (pow (pow (fma 1.0 y (* x y)) 1) 3) (pow x 3)) (+ (* (pow (fma 1.0 y (* x y)) 1) (pow (fma 1.0 y (* x y)) 1)) (+ (* x x) (* (pow (fma 1.0 y (* x y)) 1) x))) (- x) (- (* (pow (fma 1.0 y (* x y)) 1) (pow (fma 1.0 y (* x y)) 1)) (* x x)) (+ (pow (fma 1.0 y (* x y)) 1) x) (+ (pow (sqrt (fma 1.0 y (* x y))) 1) (sqrt x)) (- (pow (sqrt (fma 1.0 y (* x y))) 1) (sqrt x)) (+ (sqrt (pow (fma 1.0 y (* x y)) 1)) (sqrt x)) (- (sqrt (pow (fma 1.0 y (* x y)) 1)) (sqrt x)) (+ (pow (fma 1.0 y (* x y)) (/ 1 2)) (sqrt x)) (- (pow (fma 1.0 y (* x y)) (/ 1 2)) (sqrt x)) (- (pow (fma 1.0 y (* x y)) 1) x) (- x) (expm1 (fma 1.0 y (* x y))) (log1p (fma 1.0 y (* x y))) (* 1.0 y) (log (fma 1.0 y (* x y))) (exp (fma 1.0 y (* x y))) (* (cbrt (fma 1.0 y (* x y))) (cbrt (fma 1.0 y (* x y)))) (cbrt (fma 1.0 y (* x y))) (* (* (fma 1.0 y (* x y)) (fma 1.0 y (* x y))) (fma 1.0 y (* x y))) (sqrt (fma 1.0 y (* x y))) (sqrt (fma 1.0 y (* x y))) (- (+ (* 1.0 y) (* x y)) x) (- (+ (* 1.0 y) (* x y)) x) (- (+ (* 1.0 y) (* x y)) x) (+ (* 1.0 y) (* x y)) (+ (* 1.0 y) (* x y)) (+ (* 1.0 y) (* x y)) 0.605 * * [simplify]: iteration 0 : 193 enodes (cost 506 ) 0.609 * * [simplify]: iteration 1 : 689 enodes (cost 301 ) 0.632 * * [simplify]: iteration 2 : 4735 enodes (cost 278 ) 0.775 * * [simplify]: iteration 3 : 5001 enodes (cost 266 ) 0.777 * [simplify]: Simplified to: (fma (* (- x) 2) 1/2 (pow (cbrt (fma 1.0 y (* x y))) 3)) (- x x) (fma (* (- x) 2) 1/2 (pow (cbrt (fma 1.0 y (* x y))) 3)) (- x x) (fma (* (- x) 2) 1/2 (pow (cbrt (fma 1.0 y (* x y))) 3)) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (fma (* (- x) 2) 1/2 (pow (cbrt (fma 1.0 y (* x y))) 3)) (- x x) (fma (* (- x) 2) 1/2 (pow (cbrt (fma 1.0 y (* x y))) 3)) (- x x) (fma (* (- x) 2) 1/2 (pow (cbrt (fma 1.0 y (* x y))) 3)) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (expm1 (- (pow (fma 1.0 y (* x y)) 1) x)) (log1p (- (pow (fma 1.0 y (* x y)) 1) x)) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (exp (- (fma 1.0 y (* x y)) x)) (log (- (pow (fma 1.0 y (* x y)) 1) x)) (exp (- (fma 1.0 y (* x y)) x)) (* (cbrt (- (pow (fma 1.0 y (* x y)) 1) x)) (cbrt (- (pow (fma 1.0 y (* x y)) 1) x))) (cbrt (- (pow (fma 1.0 y (* x y)) 1) x)) (pow (fma y (+ 1.0 x) (- x)) 3) (sqrt (- (pow (fma 1.0 y (* x y)) 1) x)) (sqrt (- (pow (fma 1.0 y (* x y)) 1) x)) (- (pow (pow (fma 1.0 y (* x y)) 1) 3) (pow x 3)) (fma (fma y (+ 1.0 x) x) x (pow (fma 1.0 y (* x y)) 2)) (- x) (fma (- x) x (pow (fma 1.0 y (* x y)) 2)) (fma y (+ 1.0 x) x) (+ (pow (fma 1.0 y (* x y)) 1/2) (sqrt x)) (- (pow (fma 1.0 y (* x y)) 1/2) (sqrt x)) (+ (pow (fma 1.0 y (* x y)) 1/2) (sqrt x)) (- (pow (fma 1.0 y (* x y)) 1/2) (sqrt x)) (+ (pow (fma 1.0 y (* x y)) 1/2) (sqrt x)) (- (pow (fma 1.0 y (* x y)) 1/2) (sqrt x)) (- (fma 1.0 y (* x y)) x) (- x) (expm1 (fma 1.0 y (* x y))) (log1p (fma 1.0 y (* x y))) (* 1.0 y) (log (fma 1.0 y (* x y))) (exp (fma 1.0 y (* x y))) (pow (cbrt (fma 1.0 y (* x y))) 2) (cbrt (fma 1.0 y (* x y))) (pow (fma 1.0 y (* x y)) 3) (pow (fma 1.0 y (* x y)) 1/2) (pow (fma 1.0 y (* x y)) 1/2) (- (fma 1.0 y (* x y)) x) (- (fma 1.0 y (* x y)) x) (- (fma 1.0 y (* x y)) x) (fma 1.0 y (* x y)) (fma 1.0 y (* x y)) (fma 1.0 y (* x y)) 0.777 * * * [progress]: adding candidates to table 0.870 * * [progress]: iteration 4 / 4 0.870 * * * [progress]: picking best candidate 0.873 * * * * [pick]: Picked # 0.873 * * * [progress]: localizing error 0.886 * * * [progress]: generating rewritten candidates 0.886 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.904 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.918 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.941 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.951 * * * [progress]: generating series expansions 0.951 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.952 * [approximate]: Taking taylor expansion of (/ (* (+ (pow x 3) 1.0) y) (- (+ (pow x 2) 1.0) (* 1.0 x))) in (x y) around 0 0.953 * [taylor]: Taking taylor expansion of (/ (* (+ (pow x 3) 1.0) y) (- (+ (pow x 2) 1.0) (* 1.0 x))) in y 0.953 * [taylor]: Taking taylor expansion of (* (+ (pow x 3) 1.0) y) in y 0.953 * [taylor]: Taking taylor expansion of (+ (pow x 3) 1.0) in y 0.953 * [taylor]: Taking taylor expansion of (pow x 3) in y 0.953 * [taylor]: Taking taylor expansion of x in y 0.953 * [taylor]: Taking taylor expansion of 1.0 in y 0.953 * [taylor]: Taking taylor expansion of y in y 0.953 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) 1.0) (* 1.0 x)) in y 0.953 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in y 0.953 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.953 * [taylor]: Taking taylor expansion of x in y 0.953 * [taylor]: Taking taylor expansion of 1.0 in y 0.953 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.953 * [taylor]: Taking taylor expansion of 1.0 in y 0.953 * [taylor]: Taking taylor expansion of x in y 0.954 * [taylor]: Taking taylor expansion of (/ (* (+ (pow x 3) 1.0) y) (- (+ (pow x 2) 1.0) (* 1.0 x))) in x 0.954 * [taylor]: Taking taylor expansion of (* (+ (pow x 3) 1.0) y) in x 0.954 * [taylor]: Taking taylor expansion of (+ (pow x 3) 1.0) in x 0.954 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * [taylor]: Taking taylor expansion of y in x 0.954 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) 1.0) (* 1.0 x)) in x 0.954 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.954 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.954 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of (/ (* (+ (pow x 3) 1.0) y) (- (+ (pow x 2) 1.0) (* 1.0 x))) in x 0.956 * [taylor]: Taking taylor expansion of (* (+ (pow x 3) 1.0) y) in x 0.956 * [taylor]: Taking taylor expansion of (+ (pow x 3) 1.0) in x 0.956 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of 1.0 in x 0.956 * [taylor]: Taking taylor expansion of y in x 0.956 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) 1.0) (* 1.0 x)) in x 0.956 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.956 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of 1.0 in x 0.956 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.956 * [taylor]: Taking taylor expansion of 1.0 in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.957 * [taylor]: Taking taylor expansion of 1.0 in y 0.957 * [taylor]: Taking taylor expansion of y in y 0.961 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.961 * [taylor]: Taking taylor expansion of 1.0 in y 0.961 * [taylor]: Taking taylor expansion of y in y 0.966 * [taylor]: Taking taylor expansion of 0 in y 0.971 * [taylor]: Taking taylor expansion of 0 in y 0.972 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 (pow x 3))) (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y)) in (x y) around 0 0.972 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 (pow x 3))) (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y)) in y 0.972 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (pow x 3))) in y 0.972 * [taylor]: Taking taylor expansion of 1.0 in y 0.972 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 0.972 * [taylor]: Taking taylor expansion of (pow x 3) in y 0.972 * [taylor]: Taking taylor expansion of x in y 0.972 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y) in y 0.972 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) in y 0.972 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in y 0.972 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.972 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.972 * [taylor]: Taking taylor expansion of x in y 0.972 * [taylor]: Taking taylor expansion of 1.0 in y 0.972 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.972 * [taylor]: Taking taylor expansion of 1.0 in y 0.973 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.973 * [taylor]: Taking taylor expansion of x in y 0.973 * [taylor]: Taking taylor expansion of y in y 0.975 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 (pow x 3))) (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y)) in x 0.975 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (pow x 3))) in x 0.975 * [taylor]: Taking taylor expansion of 1.0 in x 0.975 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.975 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.976 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y) in x 0.976 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) in x 0.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.976 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.976 * [taylor]: Taking taylor expansion of 1.0 in x 0.976 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.976 * [taylor]: Taking taylor expansion of 1.0 in x 0.976 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of y in x 0.977 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 (pow x 3))) (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y)) in x 0.977 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (pow x 3))) in x 0.977 * [taylor]: Taking taylor expansion of 1.0 in x 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.977 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y) in x 0.978 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) in x 0.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.978 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.979 * [taylor]: Taking taylor expansion of 1.0 in x 0.979 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.979 * [taylor]: Taking taylor expansion of 1.0 in x 0.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.979 * [taylor]: Taking taylor expansion of y in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.980 * [taylor]: Taking taylor expansion of y in y 0.984 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.984 * [taylor]: Taking taylor expansion of 1.0 in y 0.984 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.990 * [taylor]: Taking taylor expansion of 0 in y 0.997 * [taylor]: Taking taylor expansion of 0 in y 0.999 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow x 3))) (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y))) in (x y) around 0 0.999 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow x 3))) (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y))) in y 0.999 * [taylor]: Taking taylor expansion of -1 in y 0.999 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 3))) (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y)) in y 0.999 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 3))) in y 0.999 * [taylor]: Taking taylor expansion of 1.0 in y 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 0.999 * [taylor]: Taking taylor expansion of (pow x 3) in y 0.999 * [taylor]: Taking taylor expansion of x in y 0.999 * [taylor]: Taking taylor expansion of (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y) in y 0.999 * [taylor]: Taking taylor expansion of (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) in y 0.999 * [taylor]: Taking taylor expansion of 1.0 in y 1.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.000 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.000 * [taylor]: Taking taylor expansion of x in y 1.000 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 1.000 * [taylor]: Taking taylor expansion of 1.0 in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.000 * [taylor]: Taking taylor expansion of x in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.002 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow x 3))) (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y))) in x 1.002 * [taylor]: Taking taylor expansion of -1 in x 1.002 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 3))) (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y)) in x 1.002 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 3))) in x 1.002 * [taylor]: Taking taylor expansion of 1.0 in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.002 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y) in x 1.003 * [taylor]: Taking taylor expansion of (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) in x 1.003 * [taylor]: Taking taylor expansion of 1.0 in x 1.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.003 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.003 * [taylor]: Taking taylor expansion of 1.0 in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of y in x 1.008 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow x 3))) (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y))) in x 1.008 * [taylor]: Taking taylor expansion of -1 in x 1.008 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 3))) (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y)) in x 1.008 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 3))) in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.008 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y) in x 1.009 * [taylor]: Taking taylor expansion of (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) in x 1.009 * [taylor]: Taking taylor expansion of 1.0 in x 1.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in x 1.009 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.009 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.010 * [taylor]: Taking taylor expansion of 1.0 in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of y in x 1.011 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.011 * [taylor]: Taking taylor expansion of y in y 1.015 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y))) in y 1.015 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 1.015 * [taylor]: Taking taylor expansion of 1.0 in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.015 * [taylor]: Taking taylor expansion of y in y 1.021 * [taylor]: Taking taylor expansion of 0 in y 1.029 * [taylor]: Taking taylor expansion of 0 in y 1.031 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.032 * [approximate]: Taking taylor expansion of (* (+ (pow x 3) 1.0) y) in (x y) around 0 1.032 * [taylor]: Taking taylor expansion of (* (+ (pow x 3) 1.0) y) in y 1.032 * [taylor]: Taking taylor expansion of (+ (pow x 3) 1.0) in y 1.032 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.032 * [taylor]: Taking taylor expansion of x in y 1.032 * [taylor]: Taking taylor expansion of 1.0 in y 1.032 * [taylor]: Taking taylor expansion of y in y 1.032 * [taylor]: Taking taylor expansion of (* (+ (pow x 3) 1.0) y) in x 1.032 * [taylor]: Taking taylor expansion of (+ (pow x 3) 1.0) in x 1.032 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of 1.0 in x 1.032 * [taylor]: Taking taylor expansion of y in x 1.032 * [taylor]: Taking taylor expansion of (* (+ (pow x 3) 1.0) y) in x 1.032 * [taylor]: Taking taylor expansion of (+ (pow x 3) 1.0) in x 1.032 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of 1.0 in x 1.032 * [taylor]: Taking taylor expansion of y in x 1.032 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.032 * [taylor]: Taking taylor expansion of 1.0 in y 1.032 * [taylor]: Taking taylor expansion of y in y 1.033 * [taylor]: Taking taylor expansion of 0 in y 1.035 * [taylor]: Taking taylor expansion of 0 in y 1.037 * [taylor]: Taking taylor expansion of y in y 1.037 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 (pow x 3))) y) in (x y) around 0 1.037 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 (pow x 3))) y) in y 1.037 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (pow x 3))) in y 1.038 * [taylor]: Taking taylor expansion of 1.0 in y 1.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 1.038 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.038 * [taylor]: Taking taylor expansion of x in y 1.038 * [taylor]: Taking taylor expansion of y in y 1.038 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 (pow x 3))) y) in x 1.038 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (pow x 3))) in x 1.038 * [taylor]: Taking taylor expansion of 1.0 in x 1.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.038 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of y in x 1.039 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 (pow x 3))) y) in x 1.039 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (pow x 3))) in x 1.039 * [taylor]: Taking taylor expansion of 1.0 in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.039 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of y in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.040 * [taylor]: Taking taylor expansion of y in y 1.042 * [taylor]: Taking taylor expansion of 0 in y 1.044 * [taylor]: Taking taylor expansion of 0 in y 1.047 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 1.047 * [taylor]: Taking taylor expansion of 1.0 in y 1.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.047 * [taylor]: Taking taylor expansion of y in y 1.050 * [taylor]: Taking taylor expansion of 0 in y 1.051 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow x 3))) y)) in (x y) around 0 1.051 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow x 3))) y)) in y 1.051 * [taylor]: Taking taylor expansion of -1 in y 1.051 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 3))) y) in y 1.051 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 3))) in y 1.051 * [taylor]: Taking taylor expansion of 1.0 in y 1.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 1.051 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.051 * [taylor]: Taking taylor expansion of x in y 1.052 * [taylor]: Taking taylor expansion of y in y 1.052 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow x 3))) y)) in x 1.052 * [taylor]: Taking taylor expansion of -1 in x 1.052 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 3))) y) in x 1.052 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 3))) in x 1.052 * [taylor]: Taking taylor expansion of 1.0 in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.052 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of y in x 1.053 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow x 3))) y)) in x 1.053 * [taylor]: Taking taylor expansion of -1 in x 1.053 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 3))) y) in x 1.053 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 3))) in x 1.053 * [taylor]: Taking taylor expansion of 1.0 in x 1.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.053 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.055 * [taylor]: Taking taylor expansion of y in y 1.057 * [taylor]: Taking taylor expansion of 0 in y 1.060 * [taylor]: Taking taylor expansion of 0 in y 1.063 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y))) in y 1.063 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 1.063 * [taylor]: Taking taylor expansion of 1.0 in y 1.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.063 * [taylor]: Taking taylor expansion of y in y 1.068 * [taylor]: Taking taylor expansion of 0 in y 1.069 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.070 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ y (- (+ (pow x 2) 1.0) (* 1.0 x)))) (/ (* (pow x 3) y) (- (+ (pow x 2) 1.0) (* 1.0 x)))) x) in (x y) around 0 1.070 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ y (- (+ (pow x 2) 1.0) (* 1.0 x)))) (/ (* (pow x 3) y) (- (+ (pow x 2) 1.0) (* 1.0 x)))) x) in y 1.070 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ y (- (+ (pow x 2) 1.0) (* 1.0 x)))) (/ (* (pow x 3) y) (- (+ (pow x 2) 1.0) (* 1.0 x)))) in y 1.070 * [taylor]: Taking taylor expansion of (* 1.0 (/ y (- (+ (pow x 2) 1.0) (* 1.0 x)))) in y 1.070 * [taylor]: Taking taylor expansion of 1.0 in y 1.070 * [taylor]: Taking taylor expansion of (/ y (- (+ (pow x 2) 1.0) (* 1.0 x))) in y 1.070 * [taylor]: Taking taylor expansion of y in y 1.070 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) 1.0) (* 1.0 x)) in y 1.070 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in y 1.070 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.070 * [taylor]: Taking taylor expansion of x in y 1.070 * [taylor]: Taking taylor expansion of 1.0 in y 1.070 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 1.070 * [taylor]: Taking taylor expansion of 1.0 in y 1.070 * [taylor]: Taking taylor expansion of x in y 1.071 * [taylor]: Taking taylor expansion of (/ (* (pow x 3) y) (- (+ (pow x 2) 1.0) (* 1.0 x))) in y 1.071 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in y 1.071 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.071 * [taylor]: Taking taylor expansion of x in y 1.071 * [taylor]: Taking taylor expansion of y in y 1.071 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) 1.0) (* 1.0 x)) in y 1.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in y 1.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.071 * [taylor]: Taking taylor expansion of x in y 1.071 * [taylor]: Taking taylor expansion of 1.0 in y 1.071 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 1.071 * [taylor]: Taking taylor expansion of 1.0 in y 1.071 * [taylor]: Taking taylor expansion of x in y 1.072 * [taylor]: Taking taylor expansion of x in y 1.072 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ y (- (+ (pow x 2) 1.0) (* 1.0 x)))) (/ (* (pow x 3) y) (- (+ (pow x 2) 1.0) (* 1.0 x)))) x) in x 1.072 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ y (- (+ (pow x 2) 1.0) (* 1.0 x)))) (/ (* (pow x 3) y) (- (+ (pow x 2) 1.0) (* 1.0 x)))) in x 1.072 * [taylor]: Taking taylor expansion of (* 1.0 (/ y (- (+ (pow x 2) 1.0) (* 1.0 x)))) in x 1.072 * [taylor]: Taking taylor expansion of 1.0 in x 1.072 * [taylor]: Taking taylor expansion of (/ y (- (+ (pow x 2) 1.0) (* 1.0 x))) in x 1.072 * [taylor]: Taking taylor expansion of y in x 1.072 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) 1.0) (* 1.0 x)) in x 1.072 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of 1.0 in x 1.072 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.072 * [taylor]: Taking taylor expansion of 1.0 in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (/ (* (pow x 3) y) (- (+ (pow x 2) 1.0) (* 1.0 x))) in x 1.073 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in x 1.073 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of y in x 1.073 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) 1.0) (* 1.0 x)) in x 1.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of 1.0 in x 1.074 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.074 * [taylor]: Taking taylor expansion of 1.0 in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ y (- (+ (pow x 2) 1.0) (* 1.0 x)))) (/ (* (pow x 3) y) (- (+ (pow x 2) 1.0) (* 1.0 x)))) x) in x 1.075 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ y (- (+ (pow x 2) 1.0) (* 1.0 x)))) (/ (* (pow x 3) y) (- (+ (pow x 2) 1.0) (* 1.0 x)))) in x 1.075 * [taylor]: Taking taylor expansion of (* 1.0 (/ y (- (+ (pow x 2) 1.0) (* 1.0 x)))) in x 1.075 * [taylor]: Taking taylor expansion of 1.0 in x 1.075 * [taylor]: Taking taylor expansion of (/ y (- (+ (pow x 2) 1.0) (* 1.0 x))) in x 1.075 * [taylor]: Taking taylor expansion of y in x 1.075 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) 1.0) (* 1.0 x)) in x 1.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of 1.0 in x 1.075 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.075 * [taylor]: Taking taylor expansion of 1.0 in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (/ (* (pow x 3) y) (- (+ (pow x 2) 1.0) (* 1.0 x))) in x 1.076 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in x 1.076 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.077 * [taylor]: Taking taylor expansion of y in x 1.077 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) 1.0) (* 1.0 x)) in x 1.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.077 * [taylor]: Taking taylor expansion of 1.0 in x 1.077 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.077 * [taylor]: Taking taylor expansion of 1.0 in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.079 * [taylor]: Taking taylor expansion of 1.0 in y 1.079 * [taylor]: Taking taylor expansion of y in y 1.082 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 1.082 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.082 * [taylor]: Taking taylor expansion of 1.0 in y 1.082 * [taylor]: Taking taylor expansion of y in y 1.082 * [taylor]: Taking taylor expansion of 1 in y 1.087 * [taylor]: Taking taylor expansion of 0 in y 1.092 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 (* y (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x)))))) (/ 1 (* (pow x 3) (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y)))) (/ 1 x)) in (x y) around 0 1.092 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 (* y (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x)))))) (/ 1 (* (pow x 3) (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y)))) (/ 1 x)) in y 1.092 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (* y (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x)))))) (/ 1 (* (pow x 3) (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y)))) in y 1.092 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* y (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x)))))) in y 1.092 * [taylor]: Taking taylor expansion of 1.0 in y 1.092 * [taylor]: Taking taylor expansion of (/ 1 (* y (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))))) in y 1.092 * [taylor]: Taking taylor expansion of (* y (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x)))) in y 1.092 * [taylor]: Taking taylor expansion of y in y 1.092 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) in y 1.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in y 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.092 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.092 * [taylor]: Taking taylor expansion of x in y 1.092 * [taylor]: Taking taylor expansion of 1.0 in y 1.092 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 1.092 * [taylor]: Taking taylor expansion of 1.0 in y 1.092 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.092 * [taylor]: Taking taylor expansion of x in y 1.095 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y))) in y 1.095 * [taylor]: Taking taylor expansion of (* (pow x 3) (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y)) in y 1.095 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.095 * [taylor]: Taking taylor expansion of x in y 1.095 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y) in y 1.095 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) in y 1.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in y 1.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.095 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.095 * [taylor]: Taking taylor expansion of x in y 1.095 * [taylor]: Taking taylor expansion of 1.0 in y 1.095 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 1.095 * [taylor]: Taking taylor expansion of 1.0 in y 1.095 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.095 * [taylor]: Taking taylor expansion of x in y 1.095 * [taylor]: Taking taylor expansion of y in y 1.098 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.098 * [taylor]: Taking taylor expansion of x in y 1.098 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 (* y (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x)))))) (/ 1 (* (pow x 3) (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y)))) (/ 1 x)) in x 1.098 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (* y (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x)))))) (/ 1 (* (pow x 3) (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y)))) in x 1.098 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* y (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x)))))) in x 1.098 * [taylor]: Taking taylor expansion of 1.0 in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 (* y (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))))) in x 1.098 * [taylor]: Taking taylor expansion of (* y (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x)))) in x 1.098 * [taylor]: Taking taylor expansion of y in x 1.098 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) in x 1.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.099 * [taylor]: Taking taylor expansion of 1.0 in x 1.099 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.099 * [taylor]: Taking taylor expansion of 1.0 in x 1.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.099 * [taylor]: Taking taylor expansion of x in x 1.100 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y))) in x 1.100 * [taylor]: Taking taylor expansion of (* (pow x 3) (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y)) in x 1.100 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.100 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y) in x 1.100 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) in x 1.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.100 * [taylor]: Taking taylor expansion of 1.0 in x 1.100 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.100 * [taylor]: Taking taylor expansion of 1.0 in x 1.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.101 * [taylor]: Taking taylor expansion of y in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 (* y (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x)))))) (/ 1 (* (pow x 3) (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y)))) (/ 1 x)) in x 1.102 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (* y (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x)))))) (/ 1 (* (pow x 3) (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y)))) in x 1.102 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* y (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x)))))) in x 1.102 * [taylor]: Taking taylor expansion of 1.0 in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 (* y (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))))) in x 1.102 * [taylor]: Taking taylor expansion of (* y (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x)))) in x 1.102 * [taylor]: Taking taylor expansion of y in x 1.102 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) in x 1.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of 1.0 in x 1.103 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.103 * [taylor]: Taking taylor expansion of 1.0 in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.104 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y))) in x 1.104 * [taylor]: Taking taylor expansion of (* (pow x 3) (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y)) in x 1.104 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.104 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) y) in x 1.104 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) in x 1.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.104 * [taylor]: Taking taylor expansion of 1.0 in x 1.104 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.104 * [taylor]: Taking taylor expansion of 1.0 in x 1.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of y in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1) in y 1.106 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.106 * [taylor]: Taking taylor expansion of y in y 1.107 * [taylor]: Taking taylor expansion of 1 in y 1.111 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 1.111 * [taylor]: Taking taylor expansion of 1.0 in y 1.111 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.111 * [taylor]: Taking taylor expansion of y in y 1.114 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (* (pow x 3) (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y))) (/ 1 x)) (* 1.0 (/ 1 (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y)))) in (x y) around 0 1.114 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (pow x 3) (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y))) (/ 1 x)) (* 1.0 (/ 1 (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y)))) in y 1.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 3) (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y))) (/ 1 x)) in y 1.114 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y))) in y 1.114 * [taylor]: Taking taylor expansion of (* (pow x 3) (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y)) in y 1.114 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.114 * [taylor]: Taking taylor expansion of x in y 1.114 * [taylor]: Taking taylor expansion of (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y) in y 1.114 * [taylor]: Taking taylor expansion of (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) in y 1.114 * [taylor]: Taking taylor expansion of 1.0 in y 1.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in y 1.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.114 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.114 * [taylor]: Taking taylor expansion of x in y 1.114 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 1.114 * [taylor]: Taking taylor expansion of 1.0 in y 1.114 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.114 * [taylor]: Taking taylor expansion of x in y 1.114 * [taylor]: Taking taylor expansion of y in y 1.117 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.117 * [taylor]: Taking taylor expansion of x in y 1.117 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y))) in y 1.117 * [taylor]: Taking taylor expansion of 1.0 in y 1.117 * [taylor]: Taking taylor expansion of (/ 1 (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y)) in y 1.117 * [taylor]: Taking taylor expansion of (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y) in y 1.117 * [taylor]: Taking taylor expansion of (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) in y 1.117 * [taylor]: Taking taylor expansion of 1.0 in y 1.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in y 1.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.117 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.117 * [taylor]: Taking taylor expansion of x in y 1.117 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 1.117 * [taylor]: Taking taylor expansion of 1.0 in y 1.117 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.117 * [taylor]: Taking taylor expansion of x in y 1.117 * [taylor]: Taking taylor expansion of y in y 1.119 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (pow x 3) (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y))) (/ 1 x)) (* 1.0 (/ 1 (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y)))) in x 1.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 3) (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y))) (/ 1 x)) in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y))) in x 1.119 * [taylor]: Taking taylor expansion of (* (pow x 3) (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y)) in x 1.119 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y) in x 1.119 * [taylor]: Taking taylor expansion of (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) in x 1.119 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of y in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y))) in x 1.122 * [taylor]: Taking taylor expansion of 1.0 in x 1.122 * [taylor]: Taking taylor expansion of (/ 1 (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y)) in x 1.122 * [taylor]: Taking taylor expansion of (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y) in x 1.122 * [taylor]: Taking taylor expansion of (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) in x 1.122 * [taylor]: Taking taylor expansion of 1.0 in x 1.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in x 1.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.122 * [taylor]: Taking taylor expansion of 1.0 in x 1.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of y in x 1.123 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (pow x 3) (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y))) (/ 1 x)) (* 1.0 (/ 1 (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y)))) in x 1.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 3) (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y))) (/ 1 x)) in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y))) in x 1.123 * [taylor]: Taking taylor expansion of (* (pow x 3) (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y)) in x 1.123 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y) in x 1.123 * [taylor]: Taking taylor expansion of (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) in x 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.124 * [taylor]: Taking taylor expansion of 1.0 in x 1.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of y in x 1.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.126 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y))) in x 1.126 * [taylor]: Taking taylor expansion of 1.0 in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y)) in x 1.126 * [taylor]: Taking taylor expansion of (* (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) y) in x 1.126 * [taylor]: Taking taylor expansion of (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) in x 1.126 * [taylor]: Taking taylor expansion of 1.0 in x 1.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.126 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.126 * [taylor]: Taking taylor expansion of 1.0 in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.127 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1) in y 1.127 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.127 * [taylor]: Taking taylor expansion of y in y 1.128 * [taylor]: Taking taylor expansion of 1 in y 1.131 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y))) in y 1.131 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 1.131 * [taylor]: Taking taylor expansion of 1.0 in y 1.131 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.131 * [taylor]: Taking taylor expansion of y in y 1.133 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.134 * [approximate]: Taking taylor expansion of (- (+ (pow x 2) 1.0) (* 1.0 x)) in (x) around 0 1.134 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) 1.0) (* 1.0 x)) in x 1.134 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.134 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) 1.0) (* 1.0 x)) in x 1.134 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.134 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.140 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) in (x) around 0 1.140 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) in x 1.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of 1.0 in x 1.140 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.140 * [taylor]: Taking taylor expansion of 1.0 in x 1.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.141 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) 1.0) (* 1.0 (/ 1 x))) in x 1.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.141 * [taylor]: Taking taylor expansion of x in x 1.141 * [taylor]: Taking taylor expansion of 1.0 in x 1.141 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.141 * [taylor]: Taking taylor expansion of 1.0 in x 1.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.141 * [taylor]: Taking taylor expansion of x in x 1.147 * [approximate]: Taking taylor expansion of (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) in (x) around 0 1.147 * [taylor]: Taking taylor expansion of (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) in x 1.147 * [taylor]: Taking taylor expansion of 1.0 in x 1.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in x 1.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.148 * [taylor]: Taking taylor expansion of 1.0 in x 1.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of (+ 1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) in x 1.148 * [taylor]: Taking taylor expansion of 1.0 in x 1.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in x 1.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.149 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.149 * [taylor]: Taking taylor expansion of 1.0 in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.154 * * * [progress]: simplifying candidates 1.156 * [simplify]: Simplifying using # : (expm1 (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (log1p (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (- (+ (log (+ (pow x 3) (pow 1.0 3))) (log y)) (log (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (- (log (* (+ (pow x 3) (pow 1.0 3)) y)) (log (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (log (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (exp (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (/ (* (* (* (+ (pow x 3) (pow 1.0 3)) (+ (pow x 3) (pow 1.0 3))) (+ (pow x 3) (pow 1.0 3))) (* (* y y) y)) (* (* (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (/ (* (* (* (+ (pow x 3) (pow 1.0 3)) y) (* (+ (pow x 3) (pow 1.0 3)) y)) (* (+ (pow x 3) (pow 1.0 3)) y)) (* (* (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (* (cbrt (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (cbrt (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))) (cbrt (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (* (* (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (- (* (+ (pow x 3) (pow 1.0 3)) y)) (- (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (/ (+ (pow x 3) (pow 1.0 3)) (* (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))) (/ y (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (/ (+ (pow x 3) (pow 1.0 3)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (/ y (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (/ (+ (pow x 3) (pow 1.0 3)) 1) (/ y (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (/ 1 (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (/ (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (* (+ (pow x 3) (pow 1.0 3)) y)) (/ (* (+ (pow x 3) (pow 1.0 3)) y) (* (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))) (/ (* (+ (pow x 3) (pow 1.0 3)) y) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (/ (* (+ (pow x 3) (pow 1.0 3)) y) 1) (/ (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) y) (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (pow (* x x) 3) (pow (- (* 1.0 1.0) (* x 1.0)) 3))) (/ (* (+ (pow x 3) 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(* 1.0 x)) (- (+ (pow x 2) 1.0) (* 1.0 x)) (- (+ (pow x 2) 1.0) (* 1.0 x)) 1.165 * * [simplify]: iteration 0 : 511 enodes (cost 1765 ) 1.175 * * [simplify]: iteration 1 : 2405 enodes (cost 1375 ) 1.223 * * [simplify]: iteration 2 : 5001 enodes (cost 1339 ) 1.230 * [simplify]: Simplified to: (expm1 (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (log1p (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (+ (log (/ (+ (pow x 3) (pow 1.0 3)) (fma x x (* 1.0 (- 1.0 x))))) (log y)) (+ (log (/ (+ (pow x 3) (pow 1.0 3)) (fma x x (* 1.0 (- 1.0 x))))) (log y)) (+ (log (/ (+ (pow x 3) (pow 1.0 3)) (fma x x (* 1.0 (- 1.0 x))))) (log y)) (pow (exp (/ (+ (pow x 3) (pow 1.0 3)) (fma x x (* 1.0 (- 1.0 x))))) y) (pow (/ y (/ (fma x x (* 1.0 (- 1.0 x))) (+ (pow x 3) (pow 1.0 3)))) 3) (pow (/ y (/ (fma x x (* 1.0 (- 1.0 x))) (+ (pow x 3) (pow 1.0 3)))) 3) (* (cbrt (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (cbrt (/ (* (+ 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(fma (* (- 1.0) (- 1.0 x)) (* 1.0 (- 1.0 x)) (pow x 4)) (- (pow x 2) (* 1.0 (- 1.0 x))) (fma x x (* 1.0 (- 1.0 x))) (fma x x (* 1.0 1.0)) (fma x x (* 1.0 1.0)) (fma x x (* 1.0 1.0)) (fma 1.0 y (* 1.0 (* x y))) (fma 1.0 y (* x y)) (fma 1.0 y (* x y)) (* 1.0 y) (fma 1.0 y (* (pow x 3) y)) (fma 1.0 y (* (pow x 3) y)) (fma y 1.0 (- (* 1.0 (* x y)) x)) (fma y 1.0 (- (* x y) x)) (fma y 1.0 (- (* x y) x)) (fma x x (- 1.0 (* 1.0 x))) (fma x x (- 1.0 (* 1.0 x))) (fma x x (- 1.0 (* 1.0 x))) 1.231 * * * [progress]: adding candidates to table 1.574 * [progress]: [Phase 3 of 3] Extracting. 1.574 * * [regime]: Finding splitpoints for: (# # #) 1.575 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.575 * * * * [regimes]: Trying to branch on y from (# # #) 1.588 * * * * [regimes]: Trying to branch on x from (# # #) 1.604 * * * [regime]: Found split indices: #