22.808 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (* 2.0 (- (* x x) (* x y))) 0.019 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 33 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 73 enodes (cost 3 ) 0.024 * * [simplify]: iteration 3 : 112 enodes (cost 3 ) 0.027 * * [simplify]: iteration 4 : 129 enodes (cost 3 ) 0.029 * * [simplify]: iteration 5 : 131 enodes (cost 3 ) 0.031 * * [simplify]: iteration 6 : 131 enodes (cost 3 ) 0.031 * [simplify]: Simplified to: (* (* x (- x y)) 2.0) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.048 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.057 * * * [progress]: generating series expansions 0.057 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.057 * [approximate]: Taking taylor expansion of (* x (- x y)) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (- x y) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (- x y) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (- x y) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of (- y) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of 1 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.063 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.064 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.065 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of 1 in y 0.067 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.080 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.080 * [taylor]: Taking taylor expansion of -1 in y 0.080 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.080 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.081 * [taylor]: Taking taylor expansion of -1 in x 0.081 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.081 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.082 * [taylor]: Taking taylor expansion of -1 in x 0.082 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.082 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of 1 in y 0.085 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.096 * [approximate]: Taking taylor expansion of (* 2.0 (* x (- x y))) in (x y) around 0 0.096 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in y 0.096 * [taylor]: Taking taylor expansion of 2.0 in y 0.096 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.096 * [taylor]: Taking taylor expansion of x in y 0.096 * [taylor]: Taking taylor expansion of (- x y) in y 0.096 * [taylor]: Taking taylor expansion of x in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.096 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.096 * [taylor]: Taking taylor expansion of 2.0 in x 0.096 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (- x y) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.096 * [taylor]: Taking taylor expansion of 2.0 in x 0.096 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (- x y) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.098 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.098 * [taylor]: Taking taylor expansion of 2.0 in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.100 * [taylor]: Taking taylor expansion of 2.0 in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.107 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in y 0.107 * [taylor]: Taking taylor expansion of 2.0 in y 0.107 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.107 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of x in y 0.108 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.108 * [taylor]: Taking taylor expansion of 2.0 in x 0.108 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.108 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.109 * [taylor]: Taking taylor expansion of 2.0 in x 0.109 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.109 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of 2.0 in y 0.113 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.113 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.113 * [taylor]: Taking taylor expansion of 2.0 in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [approximate]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.135 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.135 * [taylor]: Taking taylor expansion of -2.0 in y 0.135 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.135 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [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 0.136 * [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 0.137 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.138 * [taylor]: Taking taylor expansion of -2.0 in x 0.138 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.138 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of 2.0 in y 0.143 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.143 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.143 * [taylor]: Taking taylor expansion of 2.0 in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.164 * * * [progress]: simplifying candidates 0.166 * [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))) 0.174 * * [simplify]: iteration 0 : 268 enodes (cost 469 ) 0.181 * * [simplify]: iteration 1 : 1243 enodes (cost 316 ) 0.209 * * [simplify]: iteration 2 : 5001 enodes (cost 310 ) 0.212 * [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) 0.213 * * * [progress]: adding candidates to table 0.299 * * [progress]: iteration 2 / 4 0.299 * * * [progress]: picking best candidate 0.301 * * * * [pick]: Picked # 0.302 * * * [progress]: localizing error 0.306 * * * [progress]: generating rewritten candidates 0.306 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.315 * * * [progress]: generating series expansions 0.315 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.315 * [approximate]: Taking taylor expansion of (* 2.0 (* x (- x y))) in (x y) around 0 0.315 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in y 0.315 * [taylor]: Taking taylor expansion of 2.0 in y 0.315 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.315 * [taylor]: Taking taylor expansion of x in y 0.315 * [taylor]: Taking taylor expansion of (- x y) in y 0.315 * [taylor]: Taking taylor expansion of x in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.315 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.315 * [taylor]: Taking taylor expansion of 2.0 in x 0.315 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (- x y) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of y in x 0.315 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.315 * [taylor]: Taking taylor expansion of 2.0 in x 0.315 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (- x y) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of y in x 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.317 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.317 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.317 * [taylor]: Taking taylor expansion of 2.0 in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of 2.0 in y 0.322 * [taylor]: Taking taylor expansion of 0 in y 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.327 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.327 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in y 0.327 * [taylor]: Taking taylor expansion of 2.0 in y 0.327 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.327 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.328 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.328 * [taylor]: Taking taylor expansion of 2.0 in x 0.328 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.328 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.328 * [taylor]: Taking taylor expansion of y in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.329 * [taylor]: Taking taylor expansion of 2.0 in x 0.329 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.329 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of 2.0 in y 0.335 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.335 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.335 * [taylor]: Taking taylor expansion of 2.0 in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [approximate]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.348 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.348 * [taylor]: Taking taylor expansion of -2.0 in y 0.348 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.348 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.349 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.349 * [taylor]: Taking taylor expansion of -2.0 in x 0.349 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.350 * [taylor]: Taking taylor expansion of -2.0 in x 0.350 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.350 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of 2.0 in y 0.353 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.353 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.353 * [taylor]: Taking taylor expansion of 2.0 in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.360 * [taylor]: Taking taylor expansion of 0 in y 0.365 * [taylor]: Taking taylor expansion of 0 in y 0.366 * * * [progress]: simplifying candidates 0.366 * [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))) 0.370 * * [simplify]: iteration 0 : 144 enodes (cost 117 ) 0.374 * * [simplify]: iteration 1 : 558 enodes (cost 95 ) 0.388 * * [simplify]: iteration 2 : 3176 enodes (cost 95 ) 0.446 * * [simplify]: iteration 3 : 5002 enodes (cost 95 ) 0.447 * [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))) 0.447 * * * [progress]: adding candidates to table 0.488 * * [progress]: iteration 3 / 4 0.488 * * * [progress]: picking best candidate 0.489 * * * * [pick]: Picked # 0.489 * * * [progress]: localizing error 0.494 * * * [progress]: generating rewritten candidates 0.494 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.498 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.505 * * * [progress]: generating series expansions 0.505 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.505 * [approximate]: Taking taylor expansion of (- (pow x 2) (* x y)) in (x y) around 0 0.505 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in y 0.505 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.505 * [taylor]: Taking taylor expansion of x in y 0.506 * [taylor]: Taking taylor expansion of (* x y) in y 0.506 * [taylor]: Taking taylor expansion of x in y 0.506 * [taylor]: Taking taylor expansion of y in y 0.506 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (* x y) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.506 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (* x y) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.507 * [taylor]: Taking taylor expansion of (- y) in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of 1 in y 0.510 * [taylor]: Taking taylor expansion of 0 in y 0.512 * [taylor]: Taking taylor expansion of 0 in y 0.512 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.512 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.512 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.512 * [taylor]: Taking taylor expansion of x in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.513 * [taylor]: Taking taylor expansion of (* x y) in y 0.513 * [taylor]: Taking taylor expansion of x in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.513 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.513 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 (* x y)) 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 1 in y 0.516 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.516 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.516 * [taylor]: Taking taylor expansion of y in y 0.518 * [taylor]: Taking taylor expansion of 0 in y 0.521 * [taylor]: Taking taylor expansion of 0 in y 0.525 * [taylor]: Taking taylor expansion of 0 in y 0.525 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.525 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.525 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.525 * [taylor]: Taking taylor expansion of x in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.525 * [taylor]: Taking taylor expansion of (* x y) in y 0.525 * [taylor]: Taking taylor expansion of x in y 0.525 * [taylor]: Taking taylor expansion of y in y 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 0.526 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.526 * [taylor]: Taking taylor expansion of (* x y) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of y 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 0.527 * [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 0.528 * [taylor]: Taking taylor expansion of 1 in y 0.528 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.529 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.531 * [taylor]: Taking taylor expansion of 0 in y 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.537 * [taylor]: Taking taylor expansion of 0 in y 0.538 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.538 * [approximate]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in (x y) around 0 0.538 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in y 0.538 * [taylor]: Taking taylor expansion of 2.0 in y 0.538 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in y 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.538 * [taylor]: Taking taylor expansion of x in y 0.538 * [taylor]: Taking taylor expansion of (* x y) in y 0.538 * [taylor]: Taking taylor expansion of x in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in x 0.538 * [taylor]: Taking taylor expansion of 2.0 in x 0.538 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of (* x y) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of y in x 0.538 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in x 0.538 * [taylor]: Taking taylor expansion of 2.0 in x 0.538 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of (* x y) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of y in x 0.539 * [taylor]: Taking taylor expansion of 0 in y 0.540 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.540 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.540 * [taylor]: Taking taylor expansion of 2.0 in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.542 * [taylor]: Taking taylor expansion of 2.0 in y 0.550 * [taylor]: Taking taylor expansion of 0 in y 0.554 * [taylor]: Taking taylor expansion of 0 in y 0.554 * [approximate]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.554 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.554 * [taylor]: Taking taylor expansion of 2.0 in y 0.554 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.554 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.554 * [taylor]: Taking taylor expansion of x in y 0.554 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.554 * [taylor]: Taking taylor expansion of (* x y) in y 0.554 * [taylor]: Taking taylor expansion of x in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.555 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.555 * [taylor]: Taking taylor expansion of 2.0 in x 0.555 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.555 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.555 * [taylor]: Taking taylor expansion of (* x y) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of y in x 0.556 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.556 * [taylor]: Taking taylor expansion of 2.0 in x 0.556 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.556 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.556 * [taylor]: Taking taylor expansion of (* x y) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of y in x 0.557 * [taylor]: Taking taylor expansion of 2.0 in y 0.558 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.558 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.559 * [taylor]: Taking taylor expansion of 2.0 in y 0.559 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.562 * [taylor]: Taking taylor expansion of 0 in y 0.566 * [taylor]: Taking taylor expansion of 0 in y 0.571 * [taylor]: Taking taylor expansion of 0 in y 0.572 * [approximate]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.572 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.572 * [taylor]: Taking taylor expansion of 2.0 in y 0.572 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.572 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.572 * [taylor]: Taking taylor expansion of x in y 0.572 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.572 * [taylor]: Taking taylor expansion of (* x y) in y 0.572 * [taylor]: Taking taylor expansion of x in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.572 * [taylor]: Taking taylor expansion of 2.0 in x 0.572 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.572 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.573 * [taylor]: Taking taylor expansion of (* x y) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.573 * [taylor]: Taking taylor expansion of 2.0 in x 0.573 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.573 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.574 * [taylor]: Taking taylor expansion of (* x y) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of y in x 0.575 * [taylor]: Taking taylor expansion of 2.0 in y 0.576 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.576 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.576 * [taylor]: Taking taylor expansion of 2.0 in y 0.576 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.576 * [taylor]: Taking taylor expansion of y in y 0.579 * [taylor]: Taking taylor expansion of 0 in y 0.584 * [taylor]: Taking taylor expansion of 0 in y 0.588 * [taylor]: Taking taylor expansion of 0 in y 0.589 * * * [progress]: simplifying candidates 0.590 * [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))) 0.594 * * [simplify]: iteration 0 : 182 enodes (cost 265 ) 0.598 * * [simplify]: iteration 1 : 836 enodes (cost 234 ) 0.618 * * [simplify]: iteration 2 : 4713 enodes (cost 230 ) 0.721 * * [simplify]: iteration 3 : 5001 enodes (cost 230 ) 0.723 * [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) 0.723 * * * [progress]: adding candidates to table 0.808 * * [progress]: iteration 4 / 4 0.808 * * * [progress]: picking best candidate 0.810 * * * * [pick]: Picked # 0.810 * * * [progress]: localizing error 0.816 * * * [progress]: generating rewritten candidates 0.816 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.816 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.820 * * * [progress]: generating series expansions 0.820 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.821 * [approximate]: Taking taylor expansion of (fma x x (- (* x y))) in (x y) around 0 0.821 * [taylor]: Taking taylor expansion of (fma x x (- (* x y))) in y 0.821 * [taylor]: Rewrote expression to (+ (* x x) (- (* x y))) 0.821 * [taylor]: Taking taylor expansion of (* x x) in y 0.821 * [taylor]: Taking taylor expansion of x in y 0.821 * [taylor]: Taking taylor expansion of x in y 0.821 * [taylor]: Taking taylor expansion of (- (* x y)) in y 0.821 * [taylor]: Taking taylor expansion of (* x y) in y 0.821 * [taylor]: Taking taylor expansion of x in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.821 * [taylor]: Taking taylor expansion of (fma x x (- (* x y))) in x 0.821 * [taylor]: Rewrote expression to (+ (* x x) (- (* x y))) 0.821 * [taylor]: Taking taylor expansion of (* x x) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of (- (* x y)) in x 0.821 * [taylor]: Taking taylor expansion of (* x y) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of y in x 0.821 * [taylor]: Taking taylor expansion of (fma x x (- (* x y))) in x 0.821 * [taylor]: Rewrote expression to (+ (* x x) (- (* x y))) 0.821 * [taylor]: Taking taylor expansion of (* x x) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of (- (* x y)) in x 0.821 * [taylor]: Taking taylor expansion of (* x y) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of y in x 0.822 * [taylor]: Taking taylor expansion of 0 in y 0.823 * [taylor]: Taking taylor expansion of (- y) in y 0.823 * [taylor]: Taking taylor expansion of y in y 0.825 * [taylor]: Taking taylor expansion of 1 in y 0.827 * [taylor]: Taking taylor expansion of 0 in y 0.829 * [taylor]: Taking taylor expansion of 0 in y 0.829 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (/ 1 (* x y)))) in (x y) around 0 0.829 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (/ 1 (* x y)))) in y 0.829 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (- (/ 1 (* x y)))) 0.829 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.829 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.829 * [taylor]: Taking taylor expansion of x in y 0.829 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.829 * [taylor]: Taking taylor expansion of x in y 0.829 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in y 0.829 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.829 * [taylor]: Taking taylor expansion of (* x y) in y 0.829 * [taylor]: Taking taylor expansion of x in y 0.830 * [taylor]: Taking taylor expansion of y in y 0.830 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (/ 1 (* x y)))) in x 0.830 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (- (/ 1 (* x y)))) 0.830 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.830 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in x 0.831 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.831 * [taylor]: Taking taylor expansion of (* x y) in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of y in x 0.831 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (/ 1 (* x y)))) in x 0.831 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (- (/ 1 (* x y)))) 0.831 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.831 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in x 0.832 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.832 * [taylor]: Taking taylor expansion of (* x y) in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of y in x 0.833 * [taylor]: Taking taylor expansion of 1 in y 0.834 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.834 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.834 * [taylor]: Taking taylor expansion of y in y 0.837 * [taylor]: Taking taylor expansion of 0 in y 0.840 * [taylor]: Taking taylor expansion of 0 in y 0.844 * [taylor]: Taking taylor expansion of 0 in y 0.844 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (/ 1 (* x y)))) in (x y) around 0 0.844 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (/ 1 (* x y)))) in y 0.844 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (- (/ 1 (* x y)))) 0.844 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.844 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.844 * [taylor]: Taking taylor expansion of -1 in y 0.844 * [taylor]: Taking taylor expansion of x in y 0.844 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.844 * [taylor]: Taking taylor expansion of -1 in y 0.845 * [taylor]: Taking taylor expansion of x in y 0.845 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in y 0.845 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.845 * [taylor]: Taking taylor expansion of (* x y) in y 0.845 * [taylor]: Taking taylor expansion of x in y 0.845 * [taylor]: Taking taylor expansion of y in y 0.845 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (/ 1 (* x y)))) in x 0.845 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (- (/ 1 (* x y)))) 0.845 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.845 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.845 * [taylor]: Taking taylor expansion of -1 in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.845 * [taylor]: Taking taylor expansion of -1 in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in x 0.846 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.846 * [taylor]: Taking taylor expansion of (* x y) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of y in x 0.846 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (/ 1 (* x y)))) in x 0.846 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (- (/ 1 (* x y)))) 0.846 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.846 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.846 * [taylor]: Taking taylor expansion of -1 in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.847 * [taylor]: Taking taylor expansion of -1 in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.847 * [taylor]: Taking taylor expansion of (* x y) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of y in x 0.848 * [taylor]: Taking taylor expansion of 1 in y 0.849 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.849 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.849 * [taylor]: Taking taylor expansion of y in y 0.856 * [taylor]: Taking taylor expansion of 0 in y 0.859 * [taylor]: Taking taylor expansion of 0 in y 0.863 * [taylor]: Taking taylor expansion of 0 in y 0.864 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.864 * [approximate]: Taking taylor expansion of (* 2.0 (fma x x (- (* x y)))) in (x y) around 0 0.864 * [taylor]: Taking taylor expansion of (* 2.0 (fma x x (- (* x y)))) in y 0.864 * [taylor]: Taking taylor expansion of 2.0 in y 0.864 * [taylor]: Taking taylor expansion of (fma x x (- (* x y))) in y 0.864 * [taylor]: Rewrote expression to (+ (* x x) (- (* x y))) 0.864 * [taylor]: Taking taylor expansion of (* x x) in y 0.864 * [taylor]: Taking taylor expansion of x in y 0.864 * [taylor]: Taking taylor expansion of x in y 0.864 * [taylor]: Taking taylor expansion of (- (* x y)) in y 0.864 * [taylor]: Taking taylor expansion of (* x y) in y 0.864 * [taylor]: Taking taylor expansion of x in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.864 * [taylor]: Taking taylor expansion of (* 2.0 (fma x x (- (* x y)))) in x 0.864 * [taylor]: Taking taylor expansion of 2.0 in x 0.864 * [taylor]: Taking taylor expansion of (fma x x (- (* x y))) in x 0.864 * [taylor]: Rewrote expression to (+ (* x x) (- (* x y))) 0.864 * [taylor]: Taking taylor expansion of (* x x) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (- (* x y)) in x 0.864 * [taylor]: Taking taylor expansion of (* x y) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of y in x 0.864 * [taylor]: Taking taylor expansion of (* 2.0 (fma x x (- (* x y)))) in x 0.864 * [taylor]: Taking taylor expansion of 2.0 in x 0.864 * [taylor]: Taking taylor expansion of (fma x x (- (* x y))) in x 0.864 * [taylor]: Rewrote expression to (+ (* x x) (- (* x y))) 0.864 * [taylor]: Taking taylor expansion of (* x x) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (- (* x y)) in x 0.864 * [taylor]: Taking taylor expansion of (* x y) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of y in x 0.865 * [taylor]: Taking taylor expansion of 0 in y 0.866 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.866 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.866 * [taylor]: Taking taylor expansion of 2.0 in y 0.866 * [taylor]: Taking taylor expansion of y in y 0.869 * [taylor]: Taking taylor expansion of 2.0 in y 0.873 * [taylor]: Taking taylor expansion of 0 in y 0.877 * [taylor]: Taking taylor expansion of 0 in y 0.877 * [approximate]: Taking taylor expansion of (* 2.0 (fma (/ 1 x) (/ 1 x) (- (/ 1 (* x y))))) in (x y) around 0 0.877 * [taylor]: Taking taylor expansion of (* 2.0 (fma (/ 1 x) (/ 1 x) (- (/ 1 (* x y))))) in y 0.877 * [taylor]: Taking taylor expansion of 2.0 in y 0.877 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (/ 1 (* x y)))) in y 0.877 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (- (/ 1 (* x y)))) 0.877 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.877 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.877 * [taylor]: Taking taylor expansion of x in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.878 * [taylor]: Taking taylor expansion of x in y 0.878 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.878 * [taylor]: Taking taylor expansion of (* x y) in y 0.878 * [taylor]: Taking taylor expansion of x in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of (* 2.0 (fma (/ 1 x) (/ 1 x) (- (/ 1 (* x y))))) in x 0.878 * [taylor]: Taking taylor expansion of 2.0 in x 0.878 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (/ 1 (* x y)))) in x 0.878 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (- (/ 1 (* x y)))) 0.878 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.879 * [taylor]: Taking taylor expansion of (* x y) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of y in x 0.879 * [taylor]: Taking taylor expansion of (* 2.0 (fma (/ 1 x) (/ 1 x) (- (/ 1 (* x y))))) in x 0.879 * [taylor]: Taking taylor expansion of 2.0 in x 0.879 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (/ 1 (* x y)))) in x 0.879 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (- (/ 1 (* x y)))) 0.879 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in x 0.880 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.880 * [taylor]: Taking taylor expansion of (* x y) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of y in x 0.881 * [taylor]: Taking taylor expansion of 2.0 in y 0.883 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.883 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.883 * [taylor]: Taking taylor expansion of 2.0 in y 0.883 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.883 * [taylor]: Taking taylor expansion of y in y 0.887 * [taylor]: Taking taylor expansion of 0 in y 0.891 * [taylor]: Taking taylor expansion of 0 in y 0.896 * [taylor]: Taking taylor expansion of 0 in y 0.897 * [approximate]: Taking taylor expansion of (* 2.0 (fma (/ -1 x) (/ -1 x) (- (/ 1 (* x y))))) in (x y) around 0 0.897 * [taylor]: Taking taylor expansion of (* 2.0 (fma (/ -1 x) (/ -1 x) (- (/ 1 (* x y))))) in y 0.897 * [taylor]: Taking taylor expansion of 2.0 in y 0.897 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (/ 1 (* x y)))) in y 0.897 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (- (/ 1 (* x y)))) 0.897 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.897 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.897 * [taylor]: Taking taylor expansion of -1 in y 0.897 * [taylor]: Taking taylor expansion of x in y 0.897 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.897 * [taylor]: Taking taylor expansion of -1 in y 0.897 * [taylor]: Taking taylor expansion of x in y 0.897 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in y 0.897 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.897 * [taylor]: Taking taylor expansion of (* x y) in y 0.897 * [taylor]: Taking taylor expansion of x in y 0.897 * [taylor]: Taking taylor expansion of y in y 0.898 * [taylor]: Taking taylor expansion of (* 2.0 (fma (/ -1 x) (/ -1 x) (- (/ 1 (* x y))))) in x 0.898 * [taylor]: Taking taylor expansion of 2.0 in x 0.898 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (/ 1 (* x y)))) in x 0.898 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (- (/ 1 (* x y)))) 0.898 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.898 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.898 * [taylor]: Taking taylor expansion of -1 in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.898 * [taylor]: Taking taylor expansion of -1 in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.899 * [taylor]: Taking taylor expansion of (* x y) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of y in x 0.899 * [taylor]: Taking taylor expansion of (* 2.0 (fma (/ -1 x) (/ -1 x) (- (/ 1 (* x y))))) in x 0.899 * [taylor]: Taking taylor expansion of 2.0 in x 0.899 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (/ 1 (* x y)))) in x 0.899 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (- (/ 1 (* x y)))) 0.899 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.899 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.899 * [taylor]: Taking taylor expansion of -1 in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.899 * [taylor]: Taking taylor expansion of -1 in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.900 * [taylor]: Taking taylor expansion of (* x y) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of y in x 0.901 * [taylor]: Taking taylor expansion of 2.0 in y 0.902 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.902 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.903 * [taylor]: Taking taylor expansion of 2.0 in y 0.903 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.903 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of 0 in y 0.911 * [taylor]: Taking taylor expansion of 0 in y 0.916 * [taylor]: Taking taylor expansion of 0 in y 0.917 * * * [progress]: simplifying candidates 0.917 * [simplify]: Simplifying using # : (expm1 (fma x x (- (* x y)))) (log1p (fma x x (- (* x y)))) (* x x) (log (fma x x (- (* x y)))) (exp (fma x x (- (* x y)))) (* (cbrt (fma x x (- (* x y)))) (cbrt (fma x x (- (* x y))))) (cbrt (fma x x (- (* x y)))) (* (* (fma x x (- (* x y))) (fma x x (- (* x y)))) (fma x x (- (* x y)))) (sqrt (fma x x (- (* x y)))) (sqrt (fma x x (- (* x y)))) (expm1 (* 2.0 (fma x x (- (* x y))))) (log1p (* 2.0 (fma x x (- (* x y))))) (* 2.0 (fma x x (- (* x y)))) (+ (log 2.0) (log (fma x x (- (* x y))))) (log (* 2.0 (fma x x (- (* x y))))) (exp (* 2.0 (fma x x (- (* x y))))) (* (* (* 2.0 2.0) 2.0) (* (* (fma x x (- (* x y))) (fma x x (- (* x y)))) (fma x x (- (* x y))))) (* (cbrt (* 2.0 (fma x x (- (* x y))))) (cbrt (* 2.0 (fma x x (- (* x y)))))) (cbrt (* 2.0 (fma x x (- (* x y))))) (* (* (* 2.0 (fma x x (- (* x y)))) (* 2.0 (fma x x (- (* x y))))) (* 2.0 (fma x x (- (* x y))))) (sqrt (* 2.0 (fma x x (- (* x y))))) (sqrt (* 2.0 (fma x x (- (* x y))))) (* (sqrt 2.0) (sqrt (fma x x (- (* x y))))) (* (sqrt 2.0) (sqrt (fma x x (- (* x y))))) (* 2.0 (* x x)) (* 2.0 (- (* x y))) (* (* x x) 2.0) (* (- (* x y)) 2.0) (* 2.0 (* (cbrt (fma x x (- (* x y)))) (cbrt (fma x x (- (* x y)))))) (* 2.0 (sqrt (fma x x (- (* x y))))) (* 2.0 1) (* (cbrt 2.0) (fma x x (- (* x y)))) (* (sqrt 2.0) (fma x x (- (* x y)))) (* 2.0 (fma x x (- (* 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))) 0.921 * * [simplify]: iteration 0 : 101 enodes (cost 204 ) 0.924 * * [simplify]: iteration 1 : 434 enodes (cost 169 ) 0.935 * * [simplify]: iteration 2 : 2591 enodes (cost 165 ) 0.991 * * [simplify]: iteration 3 : 5001 enodes (cost 162 ) 0.992 * [simplify]: Simplified to: (expm1 (fma x x (- (* x y)))) (log1p (fma x x (- (* x y)))) (pow x 2) (log (- (pow x 2) (* x y))) (pow (exp x) (- x y)) (* (cbrt (fma x x (- (* x y)))) (cbrt (fma x x (- (* x y))))) (cbrt (fma x x (- (* x y)))) (pow (* x (- x y)) 3) (sqrt (fma x x (- (* x y)))) (sqrt (fma x x (- (* x y)))) (expm1 (* 2.0 (fma x x (- (* x y))))) (log1p (* 2.0 (fma x x (- (* x y))))) (* (* 2.0 x) (- x y)) (log (* (* 2.0 x) (- x y))) (log (* (* 2.0 x) (- x y))) (exp (* (* 2.0 x) (- x y))) (pow (* (* 2.0 x) (- x y)) 3) (* (cbrt (* 2.0 (fma x x (- (* x y))))) (cbrt (* 2.0 (fma x x (- (* x y)))))) (cbrt (* 2.0 (fma x x (- (* x y))))) (pow (* (* 2.0 x) (- x y)) 3) (sqrt (* 2.0 (fma x x (- (* x y))))) (sqrt (* 2.0 (fma x x (- (* x y))))) (* (sqrt 2.0) (sqrt (fma x x (- (* x y))))) (* (sqrt 2.0) (sqrt (fma x x (- (* x y))))) (* 2.0 (* x x)) (* 2.0 (- (* x y))) (* 2.0 (* x x)) (* 2.0 (- (* x y))) (* 2.0 (* (cbrt (fma x x (- (* x y)))) (cbrt (fma x x (- (* x y)))))) (* 2.0 (sqrt (fma x x (- (* x y))))) 2.0 (* (cbrt 2.0) (* x (- x y))) (* (sqrt 2.0) (* x (- x 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 x) (- x y)) 0.992 * * * [progress]: adding candidates to table 1.064 * [progress]: [Phase 3 of 3] Extracting. 1.064 * * [regime]: Finding splitpoints for: (# #) 1.064 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.064 * * * * [regimes]: Trying to branch on y from (# #) 1.074 * * * * [regimes]: Trying to branch on x from (# #) 1.084 * * * [regime]: Found split indices: #