14.009 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (* 2.0 (- (* x x) (* x y))) 0.021 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 33 enodes (cost 3 ) 0.024 * * [simplify]: iteration 2 : 73 enodes (cost 3 ) 0.026 * * [simplify]: iteration 3 : 112 enodes (cost 3 ) 0.028 * * [simplify]: iteration 4 : 129 enodes (cost 3 ) 0.030 * * [simplify]: iteration 5 : 131 enodes (cost 3 ) 0.032 * * [simplify]: iteration 6 : 131 enodes (cost 3 ) 0.032 * [simplify]: Simplified to: (* (* x (- x y)) 2.0) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.048 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.057 * * * [progress]: generating series expansions 0.057 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.058 * [approximate]: Taking taylor expansion of (* 2.0 (* x (- x y))) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in y 0.058 * [taylor]: Taking taylor expansion of 2.0 in y 0.058 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (- x y) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.058 * [taylor]: Taking taylor expansion of 2.0 in x 0.058 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (- x y) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.058 * [taylor]: Taking taylor expansion of 2.0 in x 0.058 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (- x y) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.060 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.060 * [taylor]: Taking taylor expansion of 2.0 in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of 2.0 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.073 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in y 0.073 * [taylor]: Taking taylor expansion of 2.0 in y 0.073 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.073 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.074 * [taylor]: Taking taylor expansion of 2.0 in x 0.074 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.074 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.075 * [taylor]: Taking taylor expansion of 2.0 in x 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 2.0 in y 0.077 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.078 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.078 * [taylor]: Taking taylor expansion of 2.0 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 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [approximate]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.090 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.090 * [taylor]: Taking taylor expansion of -2.0 in y 0.090 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.090 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.091 * [taylor]: Taking taylor expansion of -2.0 in x 0.091 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.091 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.092 * [taylor]: Taking taylor expansion of -2.0 in x 0.092 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.092 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of 2.0 in y 0.095 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.095 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.095 * [taylor]: Taking taylor expansion of 2.0 in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.108 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.108 * [approximate]: Taking taylor expansion of (* x (- x y)) in (x y) around 0 0.108 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.108 * [taylor]: Taking taylor expansion of x in y 0.108 * [taylor]: Taking taylor expansion of (- x y) in y 0.108 * [taylor]: Taking taylor expansion of x in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (- x y) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (- x y) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [taylor]: Taking taylor expansion of (- y) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of 1 in y 0.112 * [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 (/ (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 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 0.114 * [taylor]: Taking taylor expansion of x in y 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 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of x 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 0.116 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of 1 in y 0.118 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.127 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.127 * [taylor]: Taking taylor expansion of -1 in y 0.127 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.127 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.127 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.127 * [taylor]: Taking taylor expansion of x in y 0.127 * [taylor]: Taking taylor expansion of x in y 0.128 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.128 * [taylor]: Taking taylor expansion of -1 in x 0.128 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.128 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.129 * [taylor]: Taking taylor expansion of -1 in x 0.129 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.129 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of 1 in y 0.132 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.143 * * * [progress]: simplifying candidates 0.144 * [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 (- 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) (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))) (- (* 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 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) 0.149 * * [simplify]: iteration 0 : 268 enodes (cost 469 ) 0.155 * * [simplify]: iteration 1 : 1243 enodes (cost 316 ) 0.181 * * [simplify]: iteration 2 : 5001 enodes (cost 310 ) 0.184 * [simplify]: Simplified to: (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) (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))) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (* x (- x y)) (* x (- x y)) (* x (- x y)) 0.184 * * * [progress]: adding candidates to table 0.256 * * [progress]: iteration 2 / 4 0.256 * * * [progress]: picking best candidate 0.258 * * * * [pick]: Picked # 0.258 * * * [progress]: localizing error 0.263 * * * [progress]: generating rewritten candidates 0.263 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.271 * * * [progress]: generating series expansions 0.271 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.271 * [approximate]: Taking taylor expansion of (* 2.0 (* x (- x y))) in (x y) around 0 0.271 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in y 0.271 * [taylor]: Taking taylor expansion of 2.0 in y 0.271 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.271 * [taylor]: Taking taylor expansion of (- x y) in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.271 * [taylor]: Taking taylor expansion of 2.0 in x 0.271 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (- x y) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.271 * [taylor]: Taking taylor expansion of 2.0 in x 0.271 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (- x y) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.273 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.273 * [taylor]: Taking taylor expansion of 2.0 in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of 2.0 in y 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.283 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in y 0.283 * [taylor]: Taking taylor expansion of 2.0 in y 0.283 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.283 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.284 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.284 * [taylor]: Taking taylor expansion of 2.0 in x 0.284 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.284 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.285 * [taylor]: Taking taylor expansion of 2.0 in x 0.285 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.285 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of 2.0 in y 0.287 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.287 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.287 * [taylor]: Taking taylor expansion of 2.0 in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.295 * [taylor]: Taking taylor expansion of 0 in y 0.300 * [taylor]: Taking taylor expansion of 0 in y 0.300 * [approximate]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.300 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.300 * [taylor]: Taking taylor expansion of -2.0 in y 0.300 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.300 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.301 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.301 * [taylor]: Taking taylor expansion of -2.0 in x 0.301 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.301 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.302 * [taylor]: Taking taylor expansion of -2.0 in x 0.302 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.302 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of 2.0 in y 0.305 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.305 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.305 * [taylor]: Taking taylor expansion of 2.0 in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.313 * [taylor]: Taking taylor expansion of 0 in y 0.318 * [taylor]: Taking taylor expansion of 0 in y 0.318 * * * [progress]: simplifying candidates 0.319 * [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))) 0.323 * * [simplify]: iteration 0 : 144 enodes (cost 117 ) 0.326 * * [simplify]: iteration 1 : 558 enodes (cost 95 ) 0.339 * * [simplify]: iteration 2 : 3176 enodes (cost 95 ) 0.397 * * [simplify]: iteration 3 : 5002 enodes (cost 95 ) 0.398 * [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))) 0.398 * * * [progress]: adding candidates to table 0.431 * * [progress]: iteration 3 / 4 0.431 * * * [progress]: picking best candidate 0.432 * * * * [pick]: Picked # 0.432 * * * [progress]: localizing error 0.438 * * * [progress]: generating rewritten candidates 0.438 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.444 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.449 * * * [progress]: generating series expansions 0.449 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.449 * [approximate]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in (x y) around 0 0.449 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in y 0.449 * [taylor]: Taking taylor expansion of 2.0 in y 0.449 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in y 0.449 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.449 * [taylor]: Taking taylor expansion of (* x y) in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in x 0.449 * [taylor]: Taking taylor expansion of 2.0 in x 0.449 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.449 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (* x y) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in x 0.450 * [taylor]: Taking taylor expansion of 2.0 in x 0.450 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.450 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (* x y) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.451 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.451 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.451 * [taylor]: Taking taylor expansion of 2.0 in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of 2.0 in y 0.457 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [approximate]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.461 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.461 * [taylor]: Taking taylor expansion of 2.0 in y 0.461 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.462 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.462 * [taylor]: Taking taylor expansion of (* x y) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.462 * [taylor]: Taking taylor expansion of 2.0 in x 0.462 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.462 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.463 * [taylor]: Taking taylor expansion of (* x y) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.463 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.463 * [taylor]: Taking taylor expansion of 2.0 in x 0.463 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.464 * [taylor]: Taking taylor expansion of (* x y) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of y in x 0.464 * [taylor]: Taking taylor expansion of 2.0 in y 0.466 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.466 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.466 * [taylor]: Taking taylor expansion of 2.0 in y 0.466 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.466 * [taylor]: Taking taylor expansion of y in y 0.469 * [taylor]: Taking taylor expansion of 0 in y 0.474 * [taylor]: Taking taylor expansion of 0 in y 0.479 * [taylor]: Taking taylor expansion of 0 in y 0.479 * [approximate]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.479 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.479 * [taylor]: Taking taylor expansion of 2.0 in y 0.479 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.479 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.480 * [taylor]: Taking taylor expansion of (* x y) in y 0.480 * [taylor]: Taking taylor expansion of x in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.480 * [taylor]: Taking taylor expansion of 2.0 in x 0.480 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.481 * [taylor]: Taking taylor expansion of (* x y) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.481 * [taylor]: Taking taylor expansion of 2.0 in x 0.481 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 2.0 in y 0.484 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.484 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.484 * [taylor]: Taking taylor expansion of 2.0 in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.500 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.500 * [approximate]: Taking taylor expansion of (- (pow x 2) (* x y)) in (x y) around 0 0.500 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in y 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of (* x y) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (* x y) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (* x y) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of y in x 0.501 * [taylor]: Taking taylor expansion of 0 in y 0.501 * [taylor]: Taking taylor expansion of (- y) in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of 1 in y 0.505 * [taylor]: Taking taylor expansion of 0 in y 0.507 * [taylor]: Taking taylor expansion of 0 in y 0.507 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.507 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.507 * [taylor]: Taking taylor expansion of x in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.508 * [taylor]: Taking taylor expansion of (* x y) in y 0.508 * [taylor]: Taking taylor expansion of x in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.508 * [taylor]: Taking taylor expansion of (* x y) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.509 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.509 * [taylor]: Taking taylor expansion of (* x y) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of y in x 0.510 * [taylor]: Taking taylor expansion of 1 in y 0.511 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.511 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.511 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of 0 in y 0.517 * [taylor]: Taking taylor expansion of 0 in y 0.520 * [taylor]: Taking taylor expansion of 0 in y 0.521 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.521 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.521 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.521 * [taylor]: Taking taylor expansion of x in y 0.521 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.521 * [taylor]: Taking taylor expansion of (* x y) in y 0.521 * [taylor]: Taking taylor expansion of x in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.521 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.521 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.522 * [taylor]: Taking taylor expansion of (* x y) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of y in x 0.522 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.523 * [taylor]: Taking taylor expansion of (* x y) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of y in x 0.524 * [taylor]: Taking taylor expansion of 1 in y 0.524 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.527 * [taylor]: Taking taylor expansion of 0 in y 0.530 * [taylor]: Taking taylor expansion of 0 in y 0.533 * [taylor]: Taking taylor expansion of 0 in y 0.534 * * * [progress]: simplifying candidates 0.535 * [simplify]: Simplifying using # : (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)))) (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)) (- (* 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 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) 0.539 * * [simplify]: iteration 0 : 182 enodes (cost 265 ) 0.543 * * [simplify]: iteration 1 : 814 enodes (cost 234 ) 0.563 * * [simplify]: iteration 2 : 4686 enodes (cost 230 ) 0.668 * * [simplify]: iteration 3 : 5001 enodes (cost 230 ) 0.670 * [simplify]: Simplified to: (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)) (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)) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (* x (- x y)) (* x (- x y)) (* x (- x y)) 0.670 * * * [progress]: adding candidates to table 0.741 * [progress]: [Phase 3 of 3] Extracting. 0.742 * * [regime]: Finding splitpoints for: (# #) 0.742 * * * [regime-changes]: Trying 4 branch expressions: ((- (* x x) (* x y)) (* 2.0 (- (* x x) (* x y))) y x) 0.742 * * * * [regimes]: Trying to branch on (- (* x x) (* x y)) from (# #) 0.752 * * * * [regimes]: Trying to branch on (* 2.0 (- (* x x) (* x y))) from (# #) 0.767 * * * * [regimes]: Trying to branch on y from (# #) 0.777 * * * * [regimes]: Trying to branch on x from (# #) 0.788 * * * [regime]: Found split indices: #