7.416 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (* 2.0 (- (* x x) (* x y))) 0.019 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 33 enodes (cost 3 ) 0.022 * * [simplify]: iteration 2 : 73 enodes (cost 3 ) 0.024 * * [simplify]: iteration 3 : 112 enodes (cost 3 ) 0.026 * * [simplify]: iteration 4 : 129 enodes (cost 3 ) 0.028 * * [simplify]: iteration 5 : 131 enodes (cost 3 ) 0.030 * * [simplify]: iteration 6 : 131 enodes (cost 3 ) 0.030 * [simplify]: Simplified to: (* (* x (- x y)) 2.0) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.052 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.068 * * * [progress]: generating series expansions 0.068 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.068 * [approximate]: Taking taylor expansion of (* x (- x y)) in (x y) around 0 0.068 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of (- x y) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (- x y) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (- x y) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of (- y) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of 1 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.074 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.075 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.076 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of 1 in y 0.078 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.087 * [taylor]: Taking taylor expansion of -1 in y 0.087 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.087 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.088 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.088 * [taylor]: Taking taylor expansion of -1 in x 0.088 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.088 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.089 * [taylor]: Taking taylor expansion of -1 in x 0.089 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.089 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of 1 in y 0.092 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.103 * [approximate]: Taking taylor expansion of (* 2.0 (* x (- x y))) in (x y) around 0 0.103 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in y 0.103 * [taylor]: Taking taylor expansion of 2.0 in y 0.103 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [taylor]: Taking taylor expansion of (- x y) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.104 * [taylor]: Taking taylor expansion of 2.0 in x 0.104 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (- x y) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.104 * [taylor]: Taking taylor expansion of 2.0 in x 0.104 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (- x y) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.105 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.105 * [taylor]: Taking taylor expansion of 2.0 in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of 2.0 in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.114 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in y 0.114 * [taylor]: Taking taylor expansion of 2.0 in y 0.114 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.114 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.114 * [taylor]: Taking taylor expansion of x in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.115 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.115 * [taylor]: Taking taylor expansion of 2.0 in x 0.115 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.115 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.116 * [taylor]: Taking taylor expansion of 2.0 in x 0.116 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.116 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of 2.0 in y 0.122 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.122 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.122 * [taylor]: Taking taylor expansion of 2.0 in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [approximate]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.134 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.134 * [taylor]: Taking taylor expansion of -2.0 in y 0.134 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.134 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.135 * [taylor]: Taking taylor expansion of x in y 0.135 * [taylor]: Taking taylor expansion of x in y 0.135 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.135 * [taylor]: Taking taylor expansion of -2.0 in x 0.135 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.135 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.136 * [taylor]: Taking taylor expansion of -2.0 in x 0.136 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.136 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of 2.0 in y 0.139 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.139 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.139 * [taylor]: Taking taylor expansion of 2.0 in y 0.139 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.152 * * * [progress]: simplifying candidates 0.153 * [simplify]: Simplifying using # : (expm1 (* x (- x y))) (log1p (* x (- x y))) (* x (- x y)) (+ (log x) (log (- x y))) (log (* x (- x y))) (exp (* x (- x y))) (* (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* x (- x y))) (cbrt (* x (- x y)))) (cbrt (* x (- x y))) (* (* (* x (- x y)) (* x (- x y))) (* x (- x y))) (sqrt (* x (- x y))) (sqrt (* x (- x y))) (* (sqrt x) (sqrt (- x y))) (* (sqrt x) (sqrt (- x y))) (* x (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* x (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y))))) (* x (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* x (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1)))) (* x (fma (- y) 1 (* y 1))) (* x (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* x (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y))))) (* x (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* x (fma (sqrt x) (sqrt x) (- (* y 1)))) (* x (fma (- y) 1 (* y 1))) (* x (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* x (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x (fma 1 x (- (* (sqrt y) (sqrt y))))) (* x (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* x (fma 1 x (- (* y 1)))) (* x (fma (- y) 1 (* y 1))) (* x x) (* x (- y)) (* x x) (* x (- y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) x) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) x) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y)))) x) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) x) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1))) x) (* (fma (- y) 1 (* y 1)) x) (* (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) x) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) x) (* (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y)))) x) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) x) (* (fma (sqrt x) (sqrt x) (- (* y 1))) x) (* (fma (- y) 1 (* y 1)) x) (* (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y))))) x) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) x) (* (fma 1 x (- (* (sqrt y) (sqrt y)))) x) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) x) (* (fma 1 x (- (* y 1))) x) (* (fma (- y) 1 (* y 1)) x) (* x x) (* (- y) x) (* x x) (* (- y) x) (* x (* (cbrt (- x y)) (cbrt (- x y)))) (* x (sqrt (- x y))) (* x 1) (* x (+ (sqrt x) (sqrt y))) (* x 1) (* (cbrt x) (- x y)) (* (sqrt x) (- x y)) (* x (- x y)) (* x (- (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (expm1 (* (* x (- x y)) 2.0)) (log1p (* (* x (- x y)) 2.0)) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (+ (+ (log x) (log (- x y))) (log 2.0)) (+ (log (* x (- x y))) (log 2.0)) (log (* (* x (- x y)) 2.0)) (exp (* (* x (- x y)) 2.0)) (* (* (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (* 2.0 2.0) 2.0)) (* (* (* (* x (- x y)) (* x (- x y))) (* x (- x y))) (* (* 2.0 2.0) 2.0)) (* (cbrt (* (* x (- x y)) 2.0)) (cbrt (* (* x (- x y)) 2.0))) (cbrt (* (* x (- x y)) 2.0)) (* (* (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0)) (* (* x (- x y)) 2.0)) (sqrt (* (* x (- x y)) 2.0)) (sqrt (* (* x (- x y)) 2.0)) (* (* x (- x y)) (* (cbrt 2.0) (cbrt 2.0))) (* (* x (- x y)) (sqrt 2.0)) (* (* x (- x y)) 1) (* (- x y) 2.0) (* (* x (- (pow x 3) (pow y 3))) 2.0) (* (* x (- (* x x) (* y y))) 2.0) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.157 * * [simplify]: iteration 0 : 268 enodes (cost 469 ) 0.163 * * [simplify]: iteration 1 : 1243 enodes (cost 316 ) 0.188 * * [simplify]: iteration 2 : 5001 enodes (cost 310 ) 0.190 * [simplify]: Simplified to: (expm1 (* x (- x y))) (log1p (* x (- x y))) (* x (- x y)) (log (* x (- x y))) (log (* x (- x y))) (exp (* x (- x y))) (pow (* x (- x y)) 3) (* (cbrt (* x (- x y))) (cbrt (* x (- x y)))) (cbrt (* x (- x y))) (pow (* x (- x y)) 3) (sqrt (* x (- x y))) (sqrt (* x (- x y))) (* (sqrt x) (sqrt (- x y))) (* (sqrt x) (sqrt (- x y))) (* (* (+ (* 1 (pow (cbrt x) 3)) (- y)) 1) x) (* x (fma (- y) 1 y)) (* (* (+ (* 1 (pow (cbrt x) 3)) (- y)) 1) x) (* x (fma (- y) 1 y)) (* (* (+ (* 1 (pow (cbrt x) 3)) (- y)) 1) x) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (pow x 2) (* x (- y)) (pow x 2) (* x (- y)) (* (* (+ (* 1 (pow (cbrt x) 3)) (- y)) 1) x) (* x (fma (- y) 1 y)) (* (* (+ (* 1 (pow (cbrt x) 3)) (- y)) 1) x) (* x (fma (- y) 1 y)) (* (* (+ (* 1 (pow (cbrt x) 3)) (- y)) 1) x) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (pow x 2) (* x (- y)) (pow x 2) (* x (- y)) (* x (* (cbrt (- x y)) (cbrt (- x y)))) (* x (sqrt (- x y))) x (* x (+ (sqrt x) (sqrt y))) x (* (cbrt x) (- x y)) (* (sqrt x) (- x y)) (* x (- x y)) (* x (- (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (expm1 (* (* x (- x y)) 2.0)) (log1p (* (* x (- x y)) 2.0)) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (log (* (* x (- x y)) 2.0)) (log (* (* x (- x y)) 2.0)) (log (* (* x (- x y)) 2.0)) (exp (* (* x (- x y)) 2.0)) (pow (* (* x (- x y)) 2.0) 3) (pow (* (* x (- x y)) 2.0) 3) (* (cbrt (* (* x (- x y)) 2.0)) (cbrt (* (* x (- x y)) 2.0))) (cbrt (* (* x (- x y)) 2.0)) (pow (* (* x (- x y)) 2.0) 3) (sqrt (* (* x (- x y)) 2.0)) (sqrt (* (* x (- x y)) 2.0)) (* (* x (- x y)) (* (cbrt 2.0) (cbrt 2.0))) (* (* x (- x y)) (sqrt 2.0)) (* x (- x y)) (* (- x y) 2.0) (* (* x (- (pow x 3) (pow y 3))) 2.0) (* (* x (- (* x x) (* y y))) 2.0) (* x (- x y)) (* x (- x y)) (* x (- x y)) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) 0.191 * * * [progress]: adding candidates to table 0.273 * * [progress]: iteration 2 / 4 0.273 * * * [progress]: picking best candidate 0.276 * * * * [pick]: Picked # 0.276 * * * [progress]: localizing error 0.281 * * * [progress]: generating rewritten candidates 0.281 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.293 * * * [progress]: generating series expansions 0.294 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.294 * [approximate]: Taking taylor expansion of (* 2.0 (* x (- x y))) in (x y) around 0 0.294 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in y 0.294 * [taylor]: Taking taylor expansion of 2.0 in y 0.294 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [taylor]: Taking taylor expansion of (- x y) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.294 * [taylor]: Taking taylor expansion of 2.0 in x 0.294 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of (- x y) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.294 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.294 * [taylor]: Taking taylor expansion of 2.0 in x 0.294 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of (- x y) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.295 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.296 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.296 * [taylor]: Taking taylor expansion of 2.0 in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.298 * [taylor]: Taking taylor expansion of 2.0 in y 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.304 * [taylor]: Taking taylor expansion of 0 in y 0.305 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.305 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in y 0.305 * [taylor]: Taking taylor expansion of 2.0 in y 0.305 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.305 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.305 * [taylor]: Taking taylor expansion of x in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of x in y 0.305 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.306 * [taylor]: Taking taylor expansion of 2.0 in x 0.306 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.306 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.306 * [taylor]: Taking taylor expansion of 2.0 in x 0.306 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.306 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.307 * [taylor]: Taking taylor expansion of y in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of 2.0 in y 0.309 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.309 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.309 * [taylor]: Taking taylor expansion of 2.0 in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of 0 in y 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.322 * [approximate]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.322 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.322 * [taylor]: Taking taylor expansion of -2.0 in y 0.322 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.322 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.322 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.322 * [taylor]: Taking taylor expansion of x in y 0.322 * [taylor]: Taking taylor expansion of x in y 0.322 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.322 * [taylor]: Taking taylor expansion of -2.0 in x 0.322 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.322 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.323 * [taylor]: Taking taylor expansion of -2.0 in x 0.323 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.324 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of 2.0 in y 0.326 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.326 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.326 * [taylor]: Taking taylor expansion of 2.0 in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.336 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.341 * * * [progress]: simplifying candidates 0.342 * [simplify]: Simplifying using # : (expm1 (* x (* (- x y) 2.0))) (log1p (* x (* (- x y) 2.0))) (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0)) (+ (log x) (+ (log (- x y)) (log 2.0))) (+ (log x) (log (* (- x y) 2.0))) (log (* x (* (- x y) 2.0))) (exp (* x (* (- x y) 2.0))) (* (* (* x x) x) (* (* (* (- x y) (- x y)) (- x y)) (* (* 2.0 2.0) 2.0))) (* (* (* x x) x) (* (* (* (- x y) 2.0) (* (- x y) 2.0)) (* (- x y) 2.0))) (* (cbrt (* x (* (- x y) 2.0))) (cbrt (* x (* (- x y) 2.0)))) (cbrt (* x (* (- x y) 2.0))) (* (* (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0))) (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))) (* x (- x y)) (* (cbrt x) (* (- x y) 2.0)) (* (sqrt x) (* (- x y) 2.0)) (* x (* (- x y) 2.0)) (* x (* (- (pow x 3) (pow y 3)) 2.0)) (* x (* (- (* x x) (* y y)) 2.0)) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.345 * * [simplify]: iteration 0 : 144 enodes (cost 117 ) 0.348 * * [simplify]: iteration 1 : 558 enodes (cost 95 ) 0.361 * * [simplify]: iteration 2 : 3176 enodes (cost 95 ) 0.419 * * [simplify]: iteration 3 : 5002 enodes (cost 95 ) 0.420 * [simplify]: Simplified to: (expm1 (* x (* (- x y) 2.0))) (log1p (* x (* (- x y) 2.0))) (* 2.0 (* x (- x y))) (* 2.0 (* x (- x y))) (log (* x (* (- x y) 2.0))) (log (* x (* (- x y) 2.0))) (log (* x (* (- x y) 2.0))) (exp (* x (* (- x y) 2.0))) (pow (* x (* (- x y) 2.0)) 3) (pow (* x (* (- x y) 2.0)) 3) (* (cbrt (* x (* (- x y) 2.0))) (cbrt (* x (* (- x y) 2.0)))) (cbrt (* x (* (- x y) 2.0))) (pow (* x (* (- x y) 2.0)) 3) (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))) (* x (- x y)) (* (cbrt x) (* (- x y) 2.0)) (* (sqrt x) (* (- x y) 2.0)) (* 2.0 (* x (- x y))) (* x (* (- (pow x 3) (pow y 3)) 2.0)) (* x (* (- (* x x) (* y y)) 2.0)) (* 2.0 (* x (- x y))) (* 2.0 (* x (- x y))) (* 2.0 (* x (- x y))) 0.420 * * * [progress]: adding candidates to table 0.457 * * [progress]: iteration 3 / 4 0.457 * * * [progress]: picking best candidate 0.462 * * * * [pick]: Picked # 0.462 * * * [progress]: localizing error 0.467 * * * [progress]: generating rewritten candidates 0.467 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.470 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.481 * * * [progress]: generating series expansions 0.481 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.482 * [approximate]: Taking taylor expansion of (- (pow x 2) (* x y)) in (x y) around 0 0.482 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in y 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.482 * [taylor]: Taking taylor expansion of x in y 0.482 * [taylor]: Taking taylor expansion of (* x y) in y 0.482 * [taylor]: Taking taylor expansion of x in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.482 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (* x y) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of y in x 0.482 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (* x y) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of 0 in y 0.483 * [taylor]: Taking taylor expansion of (- y) in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.484 * [taylor]: Taking taylor expansion of 1 in y 0.486 * [taylor]: Taking taylor expansion of 0 in y 0.488 * [taylor]: Taking taylor expansion of 0 in y 0.489 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.489 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.489 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.489 * [taylor]: Taking taylor expansion of x in y 0.489 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.489 * [taylor]: Taking taylor expansion of (* x y) in y 0.489 * [taylor]: Taking taylor expansion of x in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.489 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.490 * [taylor]: Taking taylor expansion of (* x y) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of y in x 0.490 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.491 * [taylor]: Taking taylor expansion of (* x y) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.491 * [taylor]: Taking taylor expansion of 1 in y 0.492 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.497 * [taylor]: Taking taylor expansion of 0 in y 0.501 * [taylor]: Taking taylor expansion of 0 in y 0.501 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.501 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.501 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.501 * [taylor]: Taking taylor expansion of x in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.501 * [taylor]: Taking taylor expansion of (* x y) in y 0.501 * [taylor]: Taking taylor expansion of x in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.502 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.502 * [taylor]: Taking taylor expansion of (* x y) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.503 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.503 * [taylor]: Taking taylor expansion of (* x y) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of y in x 0.504 * [taylor]: Taking taylor expansion of 1 in y 0.505 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.505 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.507 * [taylor]: Taking taylor expansion of 0 in y 0.510 * [taylor]: Taking taylor expansion of 0 in y 0.513 * [taylor]: Taking taylor expansion of 0 in y 0.514 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.514 * [approximate]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in (x y) around 0 0.514 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in y 0.514 * [taylor]: Taking taylor expansion of 2.0 in y 0.514 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in y 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.514 * [taylor]: Taking taylor expansion of x in y 0.514 * [taylor]: Taking taylor expansion of (* x y) in y 0.514 * [taylor]: Taking taylor expansion of x in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in x 0.514 * [taylor]: Taking taylor expansion of 2.0 in x 0.514 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (* x y) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.514 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in x 0.514 * [taylor]: Taking taylor expansion of 2.0 in x 0.514 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (* x y) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.515 * [taylor]: Taking taylor expansion of 0 in y 0.515 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.516 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.516 * [taylor]: Taking taylor expansion of 2.0 in y 0.516 * [taylor]: Taking taylor expansion of y in y 0.518 * [taylor]: Taking taylor expansion of 2.0 in y 0.521 * [taylor]: Taking taylor expansion of 0 in y 0.525 * [taylor]: Taking taylor expansion of 0 in y 0.526 * [approximate]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.526 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.526 * [taylor]: Taking taylor expansion of 2.0 in y 0.526 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.526 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.526 * [taylor]: Taking taylor expansion of x in y 0.526 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.526 * [taylor]: Taking taylor expansion of (* x y) in y 0.526 * [taylor]: Taking taylor expansion of x in y 0.526 * [taylor]: Taking taylor expansion of y in y 0.526 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.526 * [taylor]: Taking taylor expansion of 2.0 in x 0.526 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.527 * [taylor]: Taking taylor expansion of (* x y) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of y in x 0.527 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.527 * [taylor]: Taking taylor expansion of 2.0 in x 0.527 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.527 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.528 * [taylor]: Taking taylor expansion of (* x y) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of y in x 0.529 * [taylor]: Taking taylor expansion of 2.0 in y 0.530 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.530 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.530 * [taylor]: Taking taylor expansion of 2.0 in y 0.530 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.533 * [taylor]: Taking taylor expansion of 0 in y 0.537 * [taylor]: Taking taylor expansion of 0 in y 0.545 * [taylor]: Taking taylor expansion of 0 in y 0.546 * [approximate]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.546 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.546 * [taylor]: Taking taylor expansion of 2.0 in y 0.546 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.546 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.546 * [taylor]: Taking taylor expansion of x in y 0.546 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.546 * [taylor]: Taking taylor expansion of (* x y) in y 0.546 * [taylor]: Taking taylor expansion of x in y 0.546 * [taylor]: Taking taylor expansion of y in y 0.547 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.547 * [taylor]: Taking taylor expansion of 2.0 in x 0.547 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.547 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.547 * [taylor]: Taking taylor expansion of (* x y) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of y in x 0.548 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.548 * [taylor]: Taking taylor expansion of 2.0 in x 0.548 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.548 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.548 * [taylor]: Taking taylor expansion of (* x y) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of y in x 0.549 * [taylor]: Taking taylor expansion of 2.0 in y 0.551 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.551 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.551 * [taylor]: Taking taylor expansion of 2.0 in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.554 * [taylor]: Taking taylor expansion of 0 in y 0.558 * [taylor]: Taking taylor expansion of 0 in y 0.563 * [taylor]: Taking taylor expansion of 0 in y 0.564 * * * [progress]: simplifying candidates 0.565 * [simplify]: Simplifying using # : (fma x x (- (* y x))) (fma (- y) x (* y x)) (expm1 (- (* x x) (* x y))) (log1p (- (* x x) (* x y))) (- (* x y)) (/ (exp (* x x)) (exp (* x y))) (log (- (* x x) (* x y))) (exp (- (* x x) (* x y))) (* (cbrt (- (* x x) (* x y))) (cbrt (- (* x x) (* x y)))) (cbrt (- (* x x) (* x y))) (* (* (- (* x x) (* x y)) (- (* x x) (* x y))) (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))) (- (pow (* x x) 3) (pow (* x y) 3)) (+ (* (* x x) (* x x)) (+ (* (* x y) (* x y)) (* (* x x) (* x y)))) (- (* x y)) (- (* (* x x) (* x x)) (* (* x y) (* x y))) (+ (* x x) (* x y)) (- x y) (- (* x y)) (expm1 (* 2.0 (- (* x x) (* x y)))) (log1p (* 2.0 (- (* x x) (* x y)))) (* 2.0 (- (* x x) (* x y))) (+ (log 2.0) (log (- (* x x) (* x y)))) (log (* 2.0 (- (* x x) (* x y)))) (exp (* 2.0 (- (* x x) (* x y)))) (* (* (* 2.0 2.0) 2.0) (* (* (- (* x x) (* x y)) (- (* x x) (* x y))) (- (* x x) (* x y)))) (* (cbrt (* 2.0 (- (* x x) (* x y)))) (cbrt (* 2.0 (- (* x x) (* x y))))) (cbrt (* 2.0 (- (* x x) (* x y)))) (* (* (* 2.0 (- (* x x) (* x y))) (* 2.0 (- (* x x) (* x y)))) (* 2.0 (- (* x x) (* x y)))) (sqrt (* 2.0 (- (* x x) (* x y)))) (sqrt (* 2.0 (- (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (- (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (- (* x x) (* x y)))) (* 2.0 (fma x x (- (* y x)))) (* 2.0 (fma (- y) x (* y x))) (* 2.0 (* x x)) (* 2.0 (- (* x y))) (* 2.0 (* x x)) (* 2.0 (- (* x y))) (* (fma x x (- (* y x))) 2.0) (* (fma (- y) x (* y x)) 2.0) (* (* x x) 2.0) (* (- (* x y)) 2.0) (* (* x x) 2.0) (* (- (* x y)) 2.0) (* 2.0 (* (cbrt (- (* x x) (* x y))) (cbrt (- (* x x) (* x y))))) (* 2.0 (sqrt (- (* x x) (* x y)))) (* 2.0 1) (* 2.0 x) (* (cbrt 2.0) (- (* x x) (* x y))) (* (sqrt 2.0) (- (* x x) (* x y))) (* 2.0 (- (* x x) (* x y))) (* 2.0 (- (pow (* x x) 3) (pow (* x y) 3))) (* 2.0 (- (* (* x x) (* x x)) (* (* x y) (* x y)))) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.569 * * [simplify]: iteration 0 : 182 enodes (cost 265 ) 0.573 * * [simplify]: iteration 1 : 836 enodes (cost 234 ) 0.594 * * [simplify]: iteration 2 : 4713 enodes (cost 230 ) 0.702 * * [simplify]: iteration 3 : 5001 enodes (cost 230 ) 0.703 * [simplify]: Simplified to: (* x (- x y)) (fma (- y) x (* y x)) (expm1 (- (* x x) (* x y))) (log1p (- (* x x) (* x y))) (- (* x y)) (pow (exp x) (- x y)) (log (- (* x x) (* x y))) (pow (exp x) (- x y)) (* (cbrt (- (* x x) (* x y))) (cbrt (- (* x x) (* x y)))) (cbrt (- (* x x) (* x y))) (pow (* x (- x y)) 3) (sqrt (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))) (- (pow (* x x) 3) (pow (* x y) 3)) (fma (* x (* x y)) (+ x y) (pow x 4)) (- (* x y)) (* (pow x 2) (- (pow x 2) (* y y))) (fma x x (* x y)) (- x y) (- (* x y)) (expm1 (* 2.0 (- (* x x) (* x y)))) (log1p (* 2.0 (- (* x x) (* x y)))) (* (* x (- x y)) 2.0) (log (* (* x (- x y)) 2.0)) (log (* (* x (- x y)) 2.0)) (pow (exp 2.0) (* x (- x y))) (pow (* (* x (- x y)) 2.0) 3) (* (cbrt (* 2.0 (- (* x x) (* x y)))) (cbrt (* 2.0 (- (* x x) (* x y))))) (cbrt (* 2.0 (- (* x x) (* x y)))) (pow (* (* x (- x y)) 2.0) 3) (sqrt (* 2.0 (- (* x x) (* x y)))) (sqrt (* 2.0 (- (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (- (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (- (* x x) (* x y)))) (* (* x (- x y)) 2.0) (* 2.0 (fma (- y) x (* y x))) (* 2.0 (* x x)) (* 2.0 (- (* x y))) (* 2.0 (* x x)) (* 2.0 (- (* x y))) (* (* x (- x y)) 2.0) (* 2.0 (fma (- y) x (* y x))) (* 2.0 (* x x)) (* 2.0 (- (* x y))) (* 2.0 (* x x)) (* 2.0 (- (* x y))) (* 2.0 (* (cbrt (- (* x x) (* x y))) (cbrt (- (* x x) (* x y))))) (* 2.0 (sqrt (- (* x x) (* x y)))) 2.0 (* 2.0 x) (* (* x (- x y)) (cbrt 2.0)) (* (* x (- x y)) (sqrt 2.0)) (* (* x (- x y)) 2.0) (* 2.0 (- (pow (* x x) 3) (pow (* x y) 3))) (* (* 2.0 (fma x x (* x y))) (* x (- x y))) (* x (- x y)) (* x (- x y)) (* x (- x y)) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) 0.703 * * * [progress]: adding candidates to table 0.796 * * [progress]: iteration 4 / 4 0.796 * * * [progress]: picking best candidate 0.798 * * * * [pick]: Picked # 0.798 * * * [progress]: localizing error 0.814 * * * [progress]: generating rewritten candidates 0.814 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.914 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.926 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2) 0.936 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 0.951 * * * [progress]: generating series expansions 0.951 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.952 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (pow x 6) (* (pow x 3) (pow y 3))) (+ (* (pow x 2) (pow y 2)) (+ (pow x 4) (* (pow x 3) y))))) in (x y) around 0 0.952 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (pow x 6) (* (pow x 3) (pow y 3))) (+ (* (pow x 2) (pow y 2)) (+ (pow x 4) (* (pow x 3) y))))) in y 0.952 * [taylor]: Taking taylor expansion of 2.0 in y 0.952 * [taylor]: Taking taylor expansion of (/ (- (pow x 6) (* (pow x 3) (pow y 3))) (+ (* (pow x 2) (pow y 2)) (+ (pow x 4) (* (pow x 3) y)))) in y 0.952 * [taylor]: Taking taylor expansion of (- (pow x 6) (* (pow x 3) (pow y 3))) in y 0.952 * [taylor]: Taking taylor expansion of (pow x 6) in y 0.952 * [taylor]: Taking taylor expansion of x in y 0.952 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in y 0.952 * [taylor]: Taking taylor expansion of (pow x 3) in y 0.952 * [taylor]: Taking taylor expansion of x in y 0.952 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.952 * [taylor]: Taking taylor expansion of y in y 0.952 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (+ (pow x 4) (* (pow x 3) y))) in y 0.952 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.952 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.952 * [taylor]: Taking taylor expansion of x in y 0.952 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.952 * [taylor]: Taking taylor expansion of y in y 0.952 * [taylor]: Taking taylor expansion of (+ (pow x 4) (* (pow x 3) y)) in y 0.952 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.952 * [taylor]: Taking taylor expansion of x in y 0.952 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in y 0.952 * [taylor]: Taking taylor expansion of (pow x 3) in y 0.952 * [taylor]: Taking taylor expansion of x in y 0.952 * [taylor]: Taking taylor expansion of y in y 0.953 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (pow x 6) (* (pow x 3) (pow y 3))) (+ (* (pow x 2) (pow y 2)) (+ (pow x 4) (* (pow x 3) y))))) in x 0.953 * [taylor]: Taking taylor expansion of 2.0 in x 0.953 * [taylor]: Taking taylor expansion of (/ (- (pow x 6) (* (pow x 3) (pow y 3))) (+ (* (pow x 2) (pow y 2)) (+ (pow x 4) (* (pow x 3) y)))) in x 0.953 * [taylor]: Taking taylor expansion of (- (pow x 6) (* (pow x 3) (pow y 3))) in x 0.953 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) 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 (pow y 3) in x 0.954 * [taylor]: Taking taylor expansion of y in x 0.954 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (+ (pow x 4) (* (pow x 3) y))) in x 0.954 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) 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 (pow y 2) in x 0.954 * [taylor]: Taking taylor expansion of y in x 0.954 * [taylor]: Taking taylor expansion of (+ (pow x 4) (* (pow x 3) y)) in x 0.954 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of (* (pow x 3) y) 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 y in x 0.955 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (pow x 6) (* (pow x 3) (pow y 3))) (+ (* (pow x 2) (pow y 2)) (+ (pow x 4) (* (pow x 3) y))))) in x 0.955 * [taylor]: Taking taylor expansion of 2.0 in x 0.955 * [taylor]: Taking taylor expansion of (/ (- (pow x 6) (* (pow x 3) (pow y 3))) (+ (* (pow x 2) (pow y 2)) (+ (pow x 4) (* (pow x 3) y)))) in x 0.955 * [taylor]: Taking taylor expansion of (- (pow x 6) (* (pow x 3) (pow y 3))) in x 0.955 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x 0.955 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.956 * [taylor]: Taking taylor expansion of y in x 0.956 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (+ (pow x 4) (* (pow x 3) y))) in x 0.956 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) 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 (pow y 2) in x 0.956 * [taylor]: Taking taylor expansion of y in x 0.956 * [taylor]: Taking taylor expansion of (+ (pow x 4) (* (pow x 3) y)) in x 0.956 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of (* (pow x 3) y) 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 y in x 0.957 * [taylor]: Taking taylor expansion of (* -2.0 y) in y 0.957 * [taylor]: Taking taylor expansion of -2.0 in y 0.957 * [taylor]: Taking taylor expansion of y in y 0.961 * [taylor]: Taking taylor expansion of 2.0 in y 0.968 * [taylor]: Taking taylor expansion of 0 in y 0.978 * [taylor]: Taking taylor expansion of 0 in y 0.979 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y)))))) in (x y) around 0 0.979 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y)))))) in y 0.979 * [taylor]: Taking taylor expansion of 2.0 in y 0.979 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y))))) in y 0.979 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) in y 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 0.979 * [taylor]: Taking taylor expansion of (pow x 6) in y 0.979 * [taylor]: Taking taylor expansion of x in y 0.980 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in y 0.980 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in y 0.980 * [taylor]: Taking taylor expansion of (pow x 3) in y 0.980 * [taylor]: Taking taylor expansion of x in y 0.980 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.980 * [taylor]: Taking taylor expansion of y in y 0.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y)))) in y 0.980 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 0.980 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.980 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.980 * [taylor]: Taking taylor expansion of x in y 0.980 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.981 * [taylor]: Taking taylor expansion of y in y 0.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y))) in y 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.981 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.981 * [taylor]: Taking taylor expansion of x in y 0.981 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) y)) in y 0.981 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in y 0.981 * [taylor]: Taking taylor expansion of (pow x 3) in y 0.981 * [taylor]: Taking taylor expansion of x in y 0.981 * [taylor]: Taking taylor expansion of y in y 0.982 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y)))))) in x 0.982 * [taylor]: Taking taylor expansion of 2.0 in x 0.982 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y))))) in x 0.982 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) in x 0.982 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 0.982 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in x 0.983 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x 0.983 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.983 * [taylor]: Taking taylor expansion of y in x 0.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y)))) in x 0.984 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.984 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.984 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.984 * [taylor]: Taking taylor expansion of y in x 0.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y))) in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.985 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) y)) in x 0.985 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in x 0.985 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.987 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y)))))) in x 0.987 * [taylor]: Taking taylor expansion of 2.0 in x 0.987 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y))))) in x 0.987 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) in x 0.987 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 0.987 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in x 0.988 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x 0.988 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.988 * [taylor]: Taking taylor expansion of y in x 0.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y)))) in x 0.989 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.989 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.989 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.989 * [taylor]: Taking taylor expansion of y in x 0.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y))) in x 0.989 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.989 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) y)) in x 0.990 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in x 0.990 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of y in x 0.992 * [taylor]: Taking taylor expansion of 2.0 in y 0.995 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.995 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.995 * [taylor]: Taking taylor expansion of 2.0 in y 0.995 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.995 * [taylor]: Taking taylor expansion of y in y 1.002 * [taylor]: Taking taylor expansion of 0 in y 1.014 * [taylor]: Taking taylor expansion of 0 in y 1.027 * [taylor]: Taking taylor expansion of 0 in y 1.028 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y)))))) in (x y) around 0 1.028 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y)))))) in y 1.028 * [taylor]: Taking taylor expansion of 2.0 in y 1.028 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y))))) in y 1.028 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) in y 1.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 1.029 * [taylor]: Taking taylor expansion of (pow x 6) in y 1.029 * [taylor]: Taking taylor expansion of x in y 1.029 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in y 1.029 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in y 1.029 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.029 * [taylor]: Taking taylor expansion of x in y 1.029 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.029 * [taylor]: Taking taylor expansion of y in y 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y)))) in y 1.030 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.030 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.030 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.030 * [taylor]: Taking taylor expansion of x in y 1.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.030 * [taylor]: Taking taylor expansion of y in y 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y))) in y 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.030 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.030 * [taylor]: Taking taylor expansion of x in y 1.030 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) y)) in y 1.030 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in y 1.030 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.030 * [taylor]: Taking taylor expansion of x in y 1.030 * [taylor]: Taking taylor expansion of y in y 1.031 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y)))))) in x 1.031 * [taylor]: Taking taylor expansion of 2.0 in x 1.031 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y))))) in x 1.031 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 1.032 * [taylor]: Taking taylor expansion of (pow x 6) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in x 1.032 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x 1.032 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of (pow y 3) in x 1.033 * [taylor]: Taking taylor expansion of y in x 1.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y)))) in x 1.033 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.033 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.033 * [taylor]: Taking taylor expansion of y in x 1.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y))) in x 1.034 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.034 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) y)) in x 1.035 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in x 1.035 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of y in x 1.036 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y)))))) in x 1.036 * [taylor]: Taking taylor expansion of 2.0 in x 1.036 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y))))) in x 1.036 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) in x 1.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 1.036 * [taylor]: Taking taylor expansion of (pow x 6) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.037 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in x 1.037 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x 1.037 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.037 * [taylor]: Taking taylor expansion of x in x 1.037 * [taylor]: Taking taylor expansion of (pow y 3) in x 1.037 * [taylor]: Taking taylor expansion of y in x 1.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y)))) in x 1.038 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.038 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.038 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.038 * [taylor]: Taking taylor expansion of y in x 1.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (* (pow x 3) y))) in x 1.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.038 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) y)) in x 1.039 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in x 1.039 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of y in x 1.041 * [taylor]: Taking taylor expansion of 2.0 in y 1.045 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 1.045 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.045 * [taylor]: Taking taylor expansion of 2.0 in y 1.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.051 * [taylor]: Taking taylor expansion of 0 in y 1.060 * [taylor]: Taking taylor expansion of 0 in y 1.073 * [taylor]: Taking taylor expansion of 0 in y 1.074 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.074 * [approximate]: Taking taylor expansion of (- (pow x 6) (* (pow x 3) (pow y 3))) in (x y) around 0 1.074 * [taylor]: Taking taylor expansion of (- (pow x 6) (* (pow x 3) (pow y 3))) in y 1.074 * [taylor]: Taking taylor expansion of (pow x 6) in y 1.074 * [taylor]: Taking taylor expansion of x in y 1.074 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in y 1.074 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.074 * [taylor]: Taking taylor expansion of x in y 1.074 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.074 * [taylor]: Taking taylor expansion of y in y 1.074 * [taylor]: Taking taylor expansion of (- (pow x 6) (* (pow x 3) (pow y 3))) in x 1.074 * [taylor]: Taking taylor expansion of (pow x 6) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x 1.074 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of (pow y 3) in x 1.074 * [taylor]: Taking taylor expansion of y in x 1.074 * [taylor]: Taking taylor expansion of (- (pow x 6) (* (pow x 3) (pow y 3))) in x 1.074 * [taylor]: Taking taylor expansion of (pow x 6) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x 1.074 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of (pow y 3) in x 1.075 * [taylor]: Taking taylor expansion of y in x 1.075 * [taylor]: Taking taylor expansion of (- (pow y 3)) in y 1.075 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.075 * [taylor]: Taking taylor expansion of y in y 1.077 * [taylor]: Taking taylor expansion of 0 in y 1.080 * [taylor]: Taking taylor expansion of 0 in y 1.084 * [taylor]: Taking taylor expansion of 1 in y 1.092 * [taylor]: Taking taylor expansion of 0 in y 1.099 * [taylor]: Taking taylor expansion of 0 in y 1.100 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) in (x y) around 0 1.100 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) in y 1.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 1.100 * [taylor]: Taking taylor expansion of (pow x 6) in y 1.100 * [taylor]: Taking taylor expansion of x in y 1.100 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in y 1.100 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in y 1.100 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.100 * [taylor]: Taking taylor expansion of x in y 1.100 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.100 * [taylor]: Taking taylor expansion of y in y 1.101 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) in x 1.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 1.101 * [taylor]: Taking taylor expansion of (pow x 6) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in x 1.102 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x 1.102 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of (pow y 3) in x 1.102 * [taylor]: Taking taylor expansion of y in x 1.102 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 1.102 * [taylor]: Taking taylor expansion of (pow x 6) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in x 1.103 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x 1.103 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of (pow y 3) in x 1.103 * [taylor]: Taking taylor expansion of y in x 1.104 * [taylor]: Taking taylor expansion of 1 in y 1.106 * [taylor]: Taking taylor expansion of 0 in y 1.108 * [taylor]: Taking taylor expansion of 0 in y 1.110 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.111 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.111 * [taylor]: Taking taylor expansion of y in y 1.116 * [taylor]: Taking taylor expansion of 0 in y 1.122 * [taylor]: Taking taylor expansion of 0 in y 1.125 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) in (x y) around 0 1.125 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) in y 1.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 1.125 * [taylor]: Taking taylor expansion of (pow x 6) in y 1.125 * [taylor]: Taking taylor expansion of x in y 1.125 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in y 1.125 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in y 1.125 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.125 * [taylor]: Taking taylor expansion of x in y 1.125 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.125 * [taylor]: Taking taylor expansion of y in y 1.126 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 1.126 * [taylor]: Taking taylor expansion of (pow x 6) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in x 1.127 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x 1.127 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (pow y 3) in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.128 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 6)) (/ 1 (* (pow x 3) (pow y 3)))) in x 1.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 1.128 * [taylor]: Taking taylor expansion of (pow x 6) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in x 1.128 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x 1.129 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of (pow y 3) in x 1.129 * [taylor]: Taking taylor expansion of y in x 1.130 * [taylor]: Taking taylor expansion of 1 in y 1.131 * [taylor]: Taking taylor expansion of 0 in y 1.133 * [taylor]: Taking taylor expansion of 0 in y 1.136 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 1.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.136 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.136 * [taylor]: Taking taylor expansion of y in y 1.141 * [taylor]: Taking taylor expansion of 0 in y 1.147 * [taylor]: Taking taylor expansion of 0 in y 1.149 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2) 1.149 * [approximate]: Taking taylor expansion of (* (pow x 3) y) in (x y) around 0 1.149 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in y 1.149 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.149 * [taylor]: Taking taylor expansion of x in y 1.149 * [taylor]: Taking taylor expansion of y in y 1.149 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in x 1.149 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.149 * [taylor]: Taking taylor expansion of y in x 1.149 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in x 1.149 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.149 * [taylor]: Taking taylor expansion of y in x 1.150 * [taylor]: Taking taylor expansion of y in y 1.151 * [taylor]: Taking taylor expansion of 0 in y 1.153 * [taylor]: Taking taylor expansion of 0 in y 1.154 * [taylor]: Taking taylor expansion of 0 in y 1.155 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 3) y)) in (x y) around 0 1.155 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) y)) in y 1.155 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in y 1.155 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.155 * [taylor]: Taking taylor expansion of x in y 1.155 * [taylor]: Taking taylor expansion of y in y 1.156 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) y)) in x 1.156 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in x 1.156 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of y in x 1.156 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) y)) in x 1.156 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in x 1.156 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of y in x 1.157 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.157 * [taylor]: Taking taylor expansion of y in y 1.158 * [taylor]: Taking taylor expansion of 0 in y 1.160 * [taylor]: Taking taylor expansion of 0 in y 1.162 * [taylor]: Taking taylor expansion of 0 in y 1.163 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 3) y)) in (x y) around 0 1.163 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) y)) in y 1.163 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in y 1.163 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.163 * [taylor]: Taking taylor expansion of x in y 1.163 * [taylor]: Taking taylor expansion of y in y 1.164 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) y)) in x 1.164 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in x 1.164 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.164 * [taylor]: Taking taylor expansion of x in x 1.164 * [taylor]: Taking taylor expansion of y in x 1.165 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) y)) in x 1.165 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in x 1.165 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.165 * [taylor]: Taking taylor expansion of x in x 1.165 * [taylor]: Taking taylor expansion of y in x 1.165 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.165 * [taylor]: Taking taylor expansion of y in y 1.169 * [taylor]: Taking taylor expansion of 0 in y 1.171 * [taylor]: Taking taylor expansion of 0 in y 1.173 * [taylor]: Taking taylor expansion of 0 in y 1.174 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.174 * [approximate]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (pow x 3) y)) in (x y) around 0 1.174 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (pow x 3) y)) in y 1.174 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.174 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.175 * [taylor]: Taking taylor expansion of x in y 1.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.175 * [taylor]: Taking taylor expansion of y in y 1.175 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in y 1.175 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.175 * [taylor]: Taking taylor expansion of x in y 1.175 * [taylor]: Taking taylor expansion of y in y 1.175 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (pow x 3) y)) in x 1.175 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.175 * [taylor]: Taking taylor expansion of y in x 1.175 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in x 1.175 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of y in x 1.175 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (pow x 3) y)) in x 1.175 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.175 * [taylor]: Taking taylor expansion of y in x 1.175 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in x 1.175 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of y in x 1.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.175 * [taylor]: Taking taylor expansion of y in y 1.177 * [taylor]: Taking taylor expansion of y in y 1.179 * [taylor]: Taking taylor expansion of 0 in y 1.183 * [taylor]: Taking taylor expansion of 0 in y 1.187 * [taylor]: Taking taylor expansion of 0 in y 1.188 * [approximate]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) y))) in (x y) around 0 1.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) y))) in y 1.188 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.188 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.188 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.188 * [taylor]: Taking taylor expansion of x in y 1.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.188 * [taylor]: Taking taylor expansion of y in y 1.189 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) y)) in y 1.189 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in y 1.189 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.189 * [taylor]: Taking taylor expansion of x in y 1.189 * [taylor]: Taking taylor expansion of y in y 1.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) y))) in x 1.189 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.189 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.189 * [taylor]: Taking taylor expansion of y in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) y)) in x 1.190 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in x 1.190 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.190 * [taylor]: Taking taylor expansion of y in x 1.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) y))) in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.190 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.190 * [taylor]: Taking taylor expansion of y in x 1.191 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) y)) in x 1.191 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in x 1.191 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.191 * [taylor]: Taking taylor expansion of x in x 1.191 * [taylor]: Taking taylor expansion of y in x 1.192 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.192 * [taylor]: Taking taylor expansion of y in y 1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.193 * [taylor]: Taking taylor expansion of y in y 1.196 * [taylor]: Taking taylor expansion of 0 in y 1.201 * [taylor]: Taking taylor expansion of 0 in y 1.207 * [taylor]: Taking taylor expansion of 0 in y 1.209 * [approximate]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) y))) in (x y) around 0 1.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) y))) in y 1.209 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.209 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.209 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.209 * [taylor]: Taking taylor expansion of x in y 1.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.209 * [taylor]: Taking taylor expansion of y in y 1.209 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) y)) in y 1.209 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in y 1.209 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.209 * [taylor]: Taking taylor expansion of x in y 1.209 * [taylor]: Taking taylor expansion of y in y 1.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) y))) in x 1.210 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.210 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.210 * [taylor]: Taking taylor expansion of y in x 1.210 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) y)) in x 1.210 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in x 1.210 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.210 * [taylor]: Taking taylor expansion of y in x 1.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (* (pow x 3) y))) in x 1.211 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.211 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.211 * [taylor]: Taking taylor expansion of y in x 1.211 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) y)) in x 1.212 * [taylor]: Taking taylor expansion of (* (pow x 3) y) in x 1.212 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.212 * [taylor]: Taking taylor expansion of x in x 1.212 * [taylor]: Taking taylor expansion of y in x 1.212 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.212 * [taylor]: Taking taylor expansion of y in y 1.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.214 * [taylor]: Taking taylor expansion of y in y 1.217 * [taylor]: Taking taylor expansion of 0 in y 1.222 * [taylor]: Taking taylor expansion of 0 in y 1.228 * [taylor]: Taking taylor expansion of 0 in y 1.229 * * * [progress]: simplifying candidates 1.232 * [simplify]: Simplifying using # : (expm1 (/ (* 2.0 (- (pow (* x x) 3) (pow (* x y) 3))) (+ (* (* x x) (* x x)) (+ (* (* x y) (* x y)) (* (* x x) (* x y)))))) (log1p (/ (* 2.0 (- (pow (* x x) 3) (pow (* x y) 3))) (+ (* (* x x) (* x x)) (+ (* (* x y) (* x y)) (* (* x x) (* x y)))))) (- (+ (log 2.0) (log (- (pow (* x x) 3) (pow (* x y) 3)))) (log (+ (* (* x x) (* x x)) (+ (* (* x y) (* x y)) (* (* x x) (* x y)))))) (- (log (* 2.0 (- (pow (* x x) 3) (pow (* x y) 3)))) (log (+ (* (* x x) (* x x)) (+ (* (* x y) (* x y)) (* (* x x) (* x y)))))) (log (/ (* 2.0 (- (pow (* x x) 3) (pow (* x y) 3))) (+ (* (* x x) (* x x)) (+ (* (* x y) (* x y)) (* (* x x) (* x y)))))) (exp (/ (* 2.0 (- (pow (* x x) 3) (pow (* x y) 3))) (+ (* (* x x) (* x x)) (+ (* (* x y) (* x y)) (* (* x x) (* x y)))))) (/ (* (* (* 2.0 2.0) 2.0) (* (* (- (pow (* x x) 3) (pow (* x y) 3)) (- (pow (* x x) 3) (pow (* x y) 3))) (- (pow (* x x) 3) (pow 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x y) (* x x)) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (pow x 6) (* (pow x 3) (pow y 3))) (- (pow x 6) (* (pow x 3) (pow y 3))) (- (pow x 6) (* (pow x 3) (pow y 3))) (* (pow x 3) y) (* (pow x 3) y) (* (pow x 3) y) (+ (* (pow x 2) (pow y 2)) (* (pow x 3) y)) (+ (* (pow x 2) (pow y 2)) (* (pow x 3) y)) (+ (* (pow x 2) (pow y 2)) (* (pow x 3) y)) 1.245 * * [simplify]: iteration 0 : 676 enodes (cost 2006 ) 1.260 * * [simplify]: iteration 1 : 3474 enodes (cost 1557 ) 1.372 * * [simplify]: iteration 2 : 5001 enodes (cost 1544 ) 1.383 * [simplify]: Simplified to: (expm1 (/ (* 2.0 (- (pow (* x x) 3) (pow (* x y) 3))) (+ (* (* x x) (* x x)) (+ (* (* x y) (* x y)) (* (* x x) (* x y)))))) (log1p (/ (* 2.0 (- (pow (* x x) 3) (pow (* x y) 3))) (+ (* (* x x) (* x x)) (+ (* (* x y) (* x y)) (* (* x x) (* x y)))))) (log (/ (* 2.0 (- (pow (* x x) 3) (pow (* x y) 3))) (+ (* (* x x) (* x x)) (+ (* (* x y) (* x y)) (* (* x x) (* x 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x y) 4)) (* x (* y (* x (- y x)))) (fma x y (* x x)) (* (* 2.0 x) (- x y)) (* (* 2.0 x) (- x y)) (* (* 2.0 x) (- x y)) (- (pow x 6) (pow (* x y) 3)) (- (pow x 6) (pow (* x y) 3)) (- (pow x 6) (pow (* x y) 3)) (* (pow x 3) y) (* (pow x 3) y) (* (pow x 3) y) (* (* x y) (fma x y (* x x))) (* (* x y) (fma x y (* x x))) (* (* x y) (fma x y (* x x))) 1.384 * * * [progress]: adding candidates to table 1.696 * [progress]: [Phase 3 of 3] Extracting. 1.696 * * [regime]: Finding splitpoints for: (# # #) 1.697 * * * [regime-changes]: Trying 4 branch expressions: ((- (* x x) (* x y)) (* 2.0 (- (* x x) (* x y))) y x) 1.697 * * * * [regimes]: Trying to branch on (- (* x x) (* x y)) from (# # #) 1.710 * * * * [regimes]: Trying to branch on (* 2.0 (- (* x x) (* x y))) from (# # #) 1.724 * * * * [regimes]: Trying to branch on y from (# # #) 1.740 * * * * [regimes]: Trying to branch on x from (# # #) 1.753 * * * [regime]: Found split indices: #