15.508 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (* 2.0 (- (* x x) (* x y))) 0.018 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.019 * * [simplify]: iteration 1 : 33 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 73 enodes (cost 3 ) 0.022 * * [simplify]: iteration 3 : 112 enodes (cost 3 ) 0.024 * * [simplify]: iteration 4 : 129 enodes (cost 3 ) 0.026 * * [simplify]: iteration 5 : 131 enodes (cost 3 ) 0.028 * * [simplify]: iteration 6 : 131 enodes (cost 3 ) 0.029 * [simplify]: Simplified to: (* (* x (- x y)) 2.0) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.044 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.053 * * * [progress]: generating series expansions 0.053 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.053 * [approximate]: Taking taylor expansion of (* x (- x y)) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (- x y) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (- x y) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (- x y) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of (- y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of 1 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 0.059 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.059 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.060 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.061 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of 1 in y 0.063 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.075 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.075 * [taylor]: Taking taylor expansion of -1 in y 0.075 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.075 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.076 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.076 * [taylor]: Taking taylor expansion of -1 in x 0.076 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.076 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.077 * [taylor]: Taking taylor expansion of -1 in x 0.077 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.077 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of 1 in y 0.080 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.091 * [approximate]: Taking taylor expansion of (* 2.0 (* x (- x y))) in (x y) around 0 0.091 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in y 0.091 * [taylor]: Taking taylor expansion of 2.0 in y 0.091 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [taylor]: Taking taylor expansion of (- x y) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.091 * [taylor]: Taking taylor expansion of 2.0 in x 0.091 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (- x y) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.091 * [taylor]: Taking taylor expansion of 2.0 in x 0.091 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (- x y) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.092 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.092 * [taylor]: Taking taylor expansion of 2.0 in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of 2.0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.101 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in y 0.101 * [taylor]: Taking taylor expansion of 2.0 in y 0.101 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.101 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.101 * [taylor]: Taking taylor expansion of x in y 0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.101 * [taylor]: Taking taylor expansion of x in y 0.102 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.102 * [taylor]: Taking taylor expansion of 2.0 in x 0.102 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.102 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.103 * [taylor]: Taking taylor expansion of 2.0 in x 0.103 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.103 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of 2.0 in y 0.105 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.105 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.105 * [taylor]: Taking taylor expansion of 2.0 in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [approximate]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.118 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.118 * [taylor]: Taking taylor expansion of -2.0 in y 0.118 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.118 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.119 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.119 * [taylor]: Taking taylor expansion of -2.0 in x 0.119 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.119 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.120 * [taylor]: Taking taylor expansion of -2.0 in x 0.120 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.120 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of 2.0 in y 0.123 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.123 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.123 * [taylor]: Taking taylor expansion of 2.0 in y 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.135 * * * [progress]: simplifying candidates 0.136 * [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))) 0.141 * * [simplify]: iteration 0 : 268 enodes (cost 469 ) 0.147 * * [simplify]: iteration 1 : 1243 enodes (cost 316 ) 0.172 * * [simplify]: iteration 2 : 5001 enodes (cost 310 ) 0.174 * [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) 0.175 * * * [progress]: adding candidates to table 0.254 * * [progress]: iteration 2 / 4 0.254 * * * [progress]: picking best candidate 0.256 * * * * [pick]: Picked # 0.256 * * * [progress]: localizing error 0.261 * * * [progress]: generating rewritten candidates 0.261 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.268 * * * [progress]: generating series expansions 0.268 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.268 * [approximate]: Taking taylor expansion of (* 2.0 (* x (- x y))) in (x y) around 0 0.268 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in y 0.268 * [taylor]: Taking taylor expansion of 2.0 in y 0.268 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of (- x y) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.268 * [taylor]: Taking taylor expansion of 2.0 in x 0.268 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (- x y) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.269 * [taylor]: Taking taylor expansion of 2.0 in x 0.269 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (- x y) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of 0 in y 0.270 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.270 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.270 * [taylor]: Taking taylor expansion of 2.0 in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of 2.0 in y 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.279 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in y 0.279 * [taylor]: Taking taylor expansion of 2.0 in y 0.279 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.279 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.279 * [taylor]: Taking taylor expansion of x in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.280 * [taylor]: Taking taylor expansion of 2.0 in x 0.280 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.280 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.281 * [taylor]: Taking taylor expansion of 2.0 in x 0.281 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.281 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.281 * [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 in y 0.286 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.286 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.286 * [taylor]: Taking taylor expansion of 2.0 in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of 0 in y 0.294 * [taylor]: Taking taylor expansion of 0 in y 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.299 * [approximate]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.299 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.299 * [taylor]: Taking taylor expansion of -2.0 in y 0.299 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.299 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.299 * [taylor]: Taking taylor expansion of x in y 0.299 * [taylor]: Taking taylor expansion of x in y 0.300 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.300 * [taylor]: Taking taylor expansion of -2.0 in x 0.300 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.300 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of x in x 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 in y 0.304 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.304 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.304 * [taylor]: Taking taylor expansion of 2.0 in y 0.304 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.311 * [taylor]: Taking taylor expansion of 0 in y 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.316 * * * [progress]: simplifying candidates 0.316 * [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))) 0.320 * * [simplify]: iteration 0 : 144 enodes (cost 117 ) 0.323 * * [simplify]: iteration 1 : 558 enodes (cost 95 ) 0.335 * * [simplify]: iteration 2 : 3176 enodes (cost 95 ) 0.395 * * [simplify]: iteration 3 : 5002 enodes (cost 95 ) 0.396 * [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))) 0.396 * * * [progress]: adding candidates to table 0.436 * * [progress]: iteration 3 / 4 0.436 * * * [progress]: picking best candidate 0.438 * * * * [pick]: Picked # 0.438 * * * [progress]: localizing error 0.445 * * * [progress]: generating rewritten candidates 0.445 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.450 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.458 * * * [progress]: generating series expansions 0.458 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.458 * [approximate]: Taking taylor expansion of (- (pow x 2) (* x y)) in (x y) around 0 0.458 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in y 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.458 * [taylor]: Taking taylor expansion of x in y 0.458 * [taylor]: Taking taylor expansion of (* x y) in y 0.458 * [taylor]: Taking taylor expansion of x in y 0.458 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (* x y) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (* x y) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.459 * [taylor]: Taking taylor expansion of 0 in y 0.459 * [taylor]: Taking taylor expansion of (- y) in y 0.459 * [taylor]: Taking taylor expansion of y in y 0.461 * [taylor]: Taking taylor expansion of 1 in y 0.463 * [taylor]: Taking taylor expansion of 0 in y 0.465 * [taylor]: Taking taylor expansion of 0 in y 0.465 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.465 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.465 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.465 * [taylor]: Taking taylor expansion of x in y 0.465 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.465 * [taylor]: Taking taylor expansion of (* x y) in y 0.465 * [taylor]: Taking taylor expansion of x in y 0.465 * [taylor]: Taking taylor expansion of y in y 0.466 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.466 * [taylor]: Taking taylor expansion of (* x y) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of y in x 0.466 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.467 * [taylor]: Taking taylor expansion of (* x y) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.468 * [taylor]: Taking taylor expansion of 1 in y 0.468 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.468 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.474 * [taylor]: Taking taylor expansion of 0 in y 0.477 * [taylor]: Taking taylor expansion of 0 in y 0.477 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.477 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.477 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.477 * [taylor]: Taking taylor expansion of x in y 0.477 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.477 * [taylor]: Taking taylor expansion of (* x y) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.478 * [taylor]: Taking taylor expansion of (* x y) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.479 * [taylor]: Taking taylor expansion of (* x y) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of y in x 0.480 * [taylor]: Taking taylor expansion of 1 in y 0.481 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.483 * [taylor]: Taking taylor expansion of 0 in y 0.486 * [taylor]: Taking taylor expansion of 0 in y 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.489 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.490 * [approximate]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in (x y) around 0 0.490 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in y 0.490 * [taylor]: Taking taylor expansion of 2.0 in y 0.490 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in y 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [taylor]: Taking taylor expansion of (* x y) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in x 0.490 * [taylor]: Taking taylor expansion of 2.0 in x 0.490 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (* x y) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of y in x 0.490 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in x 0.490 * [taylor]: Taking taylor expansion of 2.0 in x 0.490 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (* x y) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of y in x 0.491 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.495 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.495 * [taylor]: Taking taylor expansion of 2.0 in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of 2.0 in y 0.501 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.505 * [approximate]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.505 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.505 * [taylor]: Taking taylor expansion of 2.0 in y 0.505 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.505 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.505 * [taylor]: Taking taylor expansion of x in y 0.505 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.505 * [taylor]: Taking taylor expansion of (* x y) in y 0.505 * [taylor]: Taking taylor expansion of x in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.506 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.506 * [taylor]: Taking taylor expansion of 2.0 in x 0.506 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 (* x y)) 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 0.507 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.507 * [taylor]: Taking taylor expansion of 2.0 in x 0.507 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.507 * [taylor]: Taking taylor expansion of (* x y) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of 2.0 in y 0.509 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.509 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.509 * [taylor]: Taking taylor expansion of 2.0 in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.513 * [taylor]: Taking taylor expansion of 0 in y 0.517 * [taylor]: Taking taylor expansion of 0 in y 0.521 * [taylor]: Taking taylor expansion of 0 in y 0.522 * [approximate]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.522 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.522 * [taylor]: Taking taylor expansion of 2.0 in y 0.522 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.522 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.522 * [taylor]: Taking taylor expansion of x in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.522 * [taylor]: Taking taylor expansion of (* x y) in y 0.522 * [taylor]: Taking taylor expansion of x in y 0.522 * [taylor]: Taking taylor expansion of y in y 0.523 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.523 * [taylor]: Taking taylor expansion of 2.0 in x 0.523 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.523 * [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 (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.524 * [taylor]: Taking taylor expansion of 2.0 in x 0.524 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.524 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.524 * [taylor]: Taking taylor expansion of (* x y) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.525 * [taylor]: Taking taylor expansion of 2.0 in y 0.526 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.526 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.526 * [taylor]: Taking taylor expansion of 2.0 in y 0.526 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.526 * [taylor]: Taking taylor expansion of y in y 0.530 * [taylor]: Taking taylor expansion of 0 in y 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.538 * [taylor]: Taking taylor expansion of 0 in y 0.539 * * * [progress]: simplifying candidates 0.539 * [simplify]: Simplifying using # : (expm1 (+ (pow x 2) (* x (- y)))) (log1p (+ (pow x 2) (* x (- y)))) (* (exp (pow x 2)) (exp (* x (- y)))) (log (+ (pow x 2) (* x (- y)))) (exp (+ (pow x 2) (* x (- y)))) (* (cbrt (+ (pow x 2) (* x (- y)))) (cbrt (+ (pow x 2) (* x (- y))))) (cbrt (+ (pow x 2) (* x (- y)))) (* (* (+ (pow x 2) (* x (- y))) (+ (pow x 2) (* x (- y)))) (+ (pow x 2) (* x (- y)))) (sqrt (+ (pow x 2) (* x (- y)))) (sqrt (+ (pow x 2) (* x (- y)))) (+ (pow (pow x 2) 3) (pow (* x (- y)) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (* x (- y)) (* x (- y))) (* (pow x 2) (* x (- y))))) (- (* (pow x 2) (pow x 2)) (* (* x (- y)) (* x (- y)))) (- (pow x 2) (* x (- y))) (+ x (- y)) (expm1 (* (+ (pow x 2) (* x (- y))) 2.0)) (log1p (* (+ (pow x 2) (* x (- y))) 2.0)) (* (+ (pow x 2) (* x (- y))) 2.0) (+ (log (+ (pow x 2) (* x (- y)))) (log 2.0)) (log (* (+ (pow x 2) (* x (- y))) 2.0)) (exp (* (+ (pow x 2) (* x (- y))) 2.0)) (* (* (* (+ (pow x 2) (* x (- y))) (+ (pow x 2) (* x (- y)))) (+ (pow x 2) (* x (- y)))) (* (* 2.0 2.0) 2.0)) (* (cbrt (* (+ (pow x 2) (* x (- y))) 2.0)) (cbrt (* (+ (pow x 2) (* x (- y))) 2.0))) (cbrt (* (+ (pow x 2) (* x (- y))) 2.0)) (* (* (* (+ (pow x 2) (* x (- y))) 2.0) (* (+ (pow x 2) (* x (- y))) 2.0)) (* (+ (pow x 2) (* x (- y))) 2.0)) (sqrt (* (+ (pow x 2) (* x (- y))) 2.0)) (sqrt (* (+ (pow x 2) (* x (- y))) 2.0)) (* (sqrt (+ (pow x 2) (* x (- y)))) (sqrt 2.0)) (* (sqrt (+ (pow x 2) (* x (- y)))) (sqrt 2.0)) (* (+ (pow x 2) (* x (- y))) (* (cbrt 2.0) (cbrt 2.0))) (* (+ (pow x 2) (* x (- y))) (sqrt 2.0)) (* (+ (pow x 2) (* x (- y))) 1) (* (cbrt (+ (pow x 2) (* x (- y)))) 2.0) (* (sqrt (+ (pow x 2) (* x (- y)))) 2.0) (* (+ (pow x 2) (* x (- y))) 2.0) (* (+ x (- y)) 2.0) (* (+ (pow (pow x 2) 3) (pow (* x (- y)) 3)) 2.0) (* (- (* (pow x 2) (pow x 2)) (* (* x (- y)) (* x (- 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))) 0.543 * * [simplify]: iteration 0 : 168 enodes (cost 276 ) 0.548 * * [simplify]: iteration 1 : 771 enodes (cost 220 ) 0.568 * * [simplify]: iteration 2 : 4864 enodes (cost 204 ) 0.673 * * [simplify]: iteration 3 : 5001 enodes (cost 204 ) 0.675 * [simplify]: Simplified to: (expm1 (+ (pow x 2) (* x (- y)))) (log1p (+ (pow x 2) (* x (- y)))) (pow (exp x) (- x y)) (log (- (pow x 2) (* x y))) (pow (exp x) (- x y)) (* (cbrt (+ (pow x 2) (* x (- y)))) (cbrt (+ (pow x 2) (* x (- y))))) (cbrt (+ (pow x 2) (* x (- y)))) (pow (* x (- x y)) 3) (sqrt (+ (pow x 2) (* x (- y)))) (sqrt (+ (pow x 2) (* x (- y)))) (- (pow x 6) (pow (* x y) 3)) (* (pow x 2) (+ (pow x 2) (fma y y (* x y)))) (* (pow x 2) (- (pow x 2) (* y y))) (fma x x (* x y)) (- x y) (expm1 (* (+ (pow x 2) (* x (- y))) 2.0)) (log1p (* (+ (pow x 2) (* x (- y))) 2.0)) (* 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 (* (+ (pow x 2) (* x (- y))) 2.0)) (cbrt (* (+ (pow x 2) (* x (- y))) 2.0))) (cbrt (* (+ (pow x 2) (* x (- y))) 2.0)) (pow (* 2.0 (* x (- x y))) 3) (sqrt (* (+ (pow x 2) (* x (- y))) 2.0)) (sqrt (* (+ (pow x 2) (* x (- y))) 2.0)) (* (sqrt (+ (pow x 2) (* x (- y)))) (sqrt 2.0)) (* (sqrt (+ (pow x 2) (* x (- y)))) (sqrt 2.0)) (* (* (* x (- x y)) (cbrt 2.0)) (cbrt 2.0)) (* (* x (- x y)) (sqrt 2.0)) (* x (- x y)) (* (cbrt (+ (pow x 2) (* x (- y)))) 2.0) (* (sqrt (+ (pow x 2) (* x (- y)))) 2.0) (* 2.0 (* x (- x y))) (* 2.0 (- x y)) (* (+ (pow (pow x 2) 3) (pow (* x (- y)) 3)) 2.0) (* (* 2.0 (pow x 2)) (- (pow x 2) (* y 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))) 0.675 * * * [progress]: adding candidates to table 0.778 * * [progress]: iteration 4 / 4 0.778 * * * [progress]: picking best candidate 0.780 * * * * [pick]: Picked # 0.780 * * * [progress]: localizing error 0.792 * * * [progress]: generating rewritten candidates 0.792 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.792 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.796 * * * [progress]: generating series expansions 0.796 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.797 * [approximate]: Taking taylor expansion of (fma x x (* -1 (* x y))) in (x y) around 0 0.797 * [taylor]: Taking taylor expansion of (fma x x (* -1 (* x y))) in y 0.797 * [taylor]: Rewrote expression to (+ (* x x) (* -1 (* x y))) 0.797 * [taylor]: Taking taylor expansion of (* x x) in y 0.797 * [taylor]: Taking taylor expansion of x in y 0.797 * [taylor]: Taking taylor expansion of x in y 0.797 * [taylor]: Taking taylor expansion of (* -1 (* x y)) in y 0.797 * [taylor]: Taking taylor expansion of -1 in y 0.797 * [taylor]: Taking taylor expansion of (* x y) in y 0.797 * [taylor]: Taking taylor expansion of x in y 0.797 * [taylor]: Taking taylor expansion of y in y 0.797 * [taylor]: Taking taylor expansion of (fma x x (* -1 (* x y))) in x 0.797 * [taylor]: Rewrote expression to (+ (* x x) (* -1 (* x y))) 0.797 * [taylor]: Taking taylor expansion of (* x x) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of (* -1 (* x y)) in x 0.798 * [taylor]: Taking taylor expansion of -1 in x 0.798 * [taylor]: Taking taylor expansion of (* x y) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of y in x 0.798 * [taylor]: Taking taylor expansion of (fma x x (* -1 (* x y))) in x 0.798 * [taylor]: Rewrote expression to (+ (* x x) (* -1 (* x y))) 0.798 * [taylor]: Taking taylor expansion of (* x x) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of (* -1 (* x y)) in x 0.798 * [taylor]: Taking taylor expansion of -1 in x 0.798 * [taylor]: Taking taylor expansion of (* x y) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of y in x 0.799 * [taylor]: Taking taylor expansion of 0 in y 0.800 * [taylor]: Taking taylor expansion of (- y) in y 0.800 * [taylor]: Taking taylor expansion of y in y 0.801 * [taylor]: Taking taylor expansion of 1 in y 0.804 * [taylor]: Taking taylor expansion of 0 in y 0.807 * [taylor]: Taking taylor expansion of 0 in y 0.808 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ -1 (* x y))) in (x y) around 0 0.808 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ -1 (* x y))) in y 0.808 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ -1 (* x y))) 0.808 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.808 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.808 * [taylor]: Taking taylor expansion of x in y 0.808 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.808 * [taylor]: Taking taylor expansion of x in y 0.808 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in y 0.808 * [taylor]: Taking taylor expansion of -1 in y 0.808 * [taylor]: Taking taylor expansion of (* x y) in y 0.808 * [taylor]: Taking taylor expansion of x in y 0.808 * [taylor]: Taking taylor expansion of y in y 0.808 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ -1 (* x y))) in x 0.808 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ -1 (* x y))) 0.808 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in x 0.809 * [taylor]: Taking taylor expansion of -1 in x 0.809 * [taylor]: Taking taylor expansion of (* x y) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of y in x 0.809 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ -1 (* x y))) in x 0.809 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ -1 (* x y))) 0.809 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in x 0.810 * [taylor]: Taking taylor expansion of -1 in x 0.810 * [taylor]: Taking taylor expansion of (* x y) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of y in x 0.811 * [taylor]: Taking taylor expansion of 1 in y 0.812 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.812 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.812 * [taylor]: Taking taylor expansion of y in y 0.815 * [taylor]: Taking taylor expansion of 0 in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [taylor]: Taking taylor expansion of 0 in y 0.822 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 (* x y))) in (x y) around 0 0.822 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 (* x y))) in y 0.822 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 (* x y))) 0.822 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.822 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.822 * [taylor]: Taking taylor expansion of -1 in y 0.822 * [taylor]: Taking taylor expansion of x in y 0.822 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.822 * [taylor]: Taking taylor expansion of -1 in y 0.822 * [taylor]: Taking taylor expansion of x in y 0.822 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in y 0.823 * [taylor]: Taking taylor expansion of -1 in y 0.823 * [taylor]: Taking taylor expansion of (* x y) in y 0.823 * [taylor]: Taking taylor expansion of x in y 0.823 * [taylor]: Taking taylor expansion of y in y 0.823 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 (* x y))) in x 0.823 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 (* x y))) 0.823 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.823 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.823 * [taylor]: Taking taylor expansion of -1 in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.823 * [taylor]: Taking taylor expansion of -1 in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in x 0.824 * [taylor]: Taking taylor expansion of -1 in x 0.824 * [taylor]: Taking taylor expansion of (* x y) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of y in x 0.824 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 (* x y))) in x 0.824 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 (* x y))) 0.824 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.824 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.824 * [taylor]: Taking taylor expansion of -1 in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.825 * [taylor]: Taking taylor expansion of -1 in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in x 0.825 * [taylor]: Taking taylor expansion of -1 in x 0.825 * [taylor]: Taking taylor expansion of (* x y) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of y in x 0.826 * [taylor]: Taking taylor expansion of 1 in y 0.827 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.827 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.827 * [taylor]: Taking taylor expansion of y in y 0.830 * [taylor]: Taking taylor expansion of 0 in y 0.833 * [taylor]: Taking taylor expansion of 0 in y 0.837 * [taylor]: Taking taylor expansion of 0 in y 0.837 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.838 * [approximate]: Taking taylor expansion of (* 2.0 (fma x x (* -1 (* x y)))) in (x y) around 0 0.838 * [taylor]: Taking taylor expansion of (* 2.0 (fma x x (* -1 (* x y)))) in y 0.838 * [taylor]: Taking taylor expansion of 2.0 in y 0.838 * [taylor]: Taking taylor expansion of (fma x x (* -1 (* x y))) in y 0.838 * [taylor]: Rewrote expression to (+ (* x x) (* -1 (* x y))) 0.838 * [taylor]: Taking taylor expansion of (* x x) in y 0.838 * [taylor]: Taking taylor expansion of x in y 0.838 * [taylor]: Taking taylor expansion of x in y 0.838 * [taylor]: Taking taylor expansion of (* -1 (* x y)) in y 0.838 * [taylor]: Taking taylor expansion of -1 in y 0.838 * [taylor]: Taking taylor expansion of (* x y) in y 0.838 * [taylor]: Taking taylor expansion of x in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.838 * [taylor]: Taking taylor expansion of (* 2.0 (fma x x (* -1 (* x y)))) in x 0.838 * [taylor]: Taking taylor expansion of 2.0 in x 0.838 * [taylor]: Taking taylor expansion of (fma x x (* -1 (* x y))) in x 0.838 * [taylor]: Rewrote expression to (+ (* x x) (* -1 (* x y))) 0.838 * [taylor]: Taking taylor expansion of (* x x) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of (* -1 (* x y)) in x 0.838 * [taylor]: Taking taylor expansion of -1 in x 0.838 * [taylor]: Taking taylor expansion of (* x y) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of y in x 0.838 * [taylor]: Taking taylor expansion of (* 2.0 (fma x x (* -1 (* x y)))) in x 0.838 * [taylor]: Taking taylor expansion of 2.0 in x 0.838 * [taylor]: Taking taylor expansion of (fma x x (* -1 (* x y))) in x 0.838 * [taylor]: Rewrote expression to (+ (* x x) (* -1 (* x y))) 0.838 * [taylor]: Taking taylor expansion of (* x x) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of (* -1 (* x y)) in x 0.838 * [taylor]: Taking taylor expansion of -1 in x 0.838 * [taylor]: Taking taylor expansion of (* x y) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of y in x 0.839 * [taylor]: Taking taylor expansion of 0 in y 0.840 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.841 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.841 * [taylor]: Taking taylor expansion of 2.0 in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of 2.0 in y 0.847 * [taylor]: Taking taylor expansion of 0 in y 0.852 * [taylor]: Taking taylor expansion of 0 in y 0.853 * [approximate]: Taking taylor expansion of (* 2.0 (fma (/ 1 x) (/ 1 x) (/ -1 (* x y)))) in (x y) around 0 0.853 * [taylor]: Taking taylor expansion of (* 2.0 (fma (/ 1 x) (/ 1 x) (/ -1 (* x y)))) in y 0.853 * [taylor]: Taking taylor expansion of 2.0 in y 0.853 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ -1 (* x y))) in y 0.853 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ -1 (* x y))) 0.853 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.853 * [taylor]: Taking taylor expansion of x in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.853 * [taylor]: Taking taylor expansion of x in y 0.853 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in y 0.853 * [taylor]: Taking taylor expansion of -1 in y 0.853 * [taylor]: Taking taylor expansion of (* x y) in y 0.853 * [taylor]: Taking taylor expansion of x in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.853 * [taylor]: Taking taylor expansion of (* 2.0 (fma (/ 1 x) (/ 1 x) (/ -1 (* x y)))) in x 0.853 * [taylor]: Taking taylor expansion of 2.0 in x 0.853 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ -1 (* x y))) in x 0.853 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ -1 (* x y))) 0.854 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.854 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in x 0.854 * [taylor]: Taking taylor expansion of -1 in x 0.854 * [taylor]: Taking taylor expansion of (* x y) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.854 * [taylor]: Taking taylor expansion of y in x 0.854 * [taylor]: Taking taylor expansion of (* 2.0 (fma (/ 1 x) (/ 1 x) (/ -1 (* x y)))) in x 0.854 * [taylor]: Taking taylor expansion of 2.0 in x 0.855 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ -1 (* x y))) in x 0.855 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ -1 (* x y))) 0.855 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in x 0.855 * [taylor]: Taking taylor expansion of -1 in x 0.855 * [taylor]: Taking taylor expansion of (* x y) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of y in x 0.856 * [taylor]: Taking taylor expansion of 2.0 in y 0.858 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.858 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.858 * [taylor]: Taking taylor expansion of 2.0 in y 0.858 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.858 * [taylor]: Taking taylor expansion of y in y 0.861 * [taylor]: Taking taylor expansion of 0 in y 0.866 * [taylor]: Taking taylor expansion of 0 in y 0.876 * [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 -1 in y 0.877 * [taylor]: Taking taylor expansion of x in y 0.877 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.877 * [taylor]: Taking taylor expansion of -1 in y 0.877 * [taylor]: Taking taylor expansion of x in y 0.877 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in y 0.877 * [taylor]: Taking taylor expansion of -1 in y 0.877 * [taylor]: Taking taylor expansion of (* x y) in y 0.877 * [taylor]: Taking taylor expansion of x in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [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 -1 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 -1 in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in x 0.878 * [taylor]: Taking taylor expansion of -1 in x 0.878 * [taylor]: Taking taylor expansion of (* x y) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [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 -1 in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.879 * [taylor]: Taking taylor expansion of -1 in x 0.879 * [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 in x 0.879 * [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 0.882 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.882 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.882 * [taylor]: Taking taylor expansion of 2.0 in y 0.882 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.882 * [taylor]: Taking taylor expansion of y in y 0.886 * [taylor]: Taking taylor expansion of 0 in y 0.890 * [taylor]: Taking taylor expansion of 0 in y 0.895 * [taylor]: Taking taylor expansion of 0 in y 0.896 * * * [progress]: simplifying candidates 0.896 * [simplify]: Simplifying using # : (expm1 (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y)))) (log1p (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y)))) (* (pow x (/ 2 2)) (pow x (/ 2 2))) (log (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y)))) (exp (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y)))) (* (cbrt (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y)))) (cbrt (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y))))) (cbrt (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y)))) (* (* (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y))) (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y)))) (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y)))) (sqrt (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y)))) (sqrt (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y)))) (expm1 (* (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y))) 2.0)) (log1p (* (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y))) 2.0)) (* (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y))) 2.0) (+ (log (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y)))) (log 2.0)) (log (* (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y))) 2.0)) (exp (* (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y))) 2.0)) (* (* (* (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y))) (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y)))) (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y)))) (* (* 2.0 2.0) 2.0)) (* (cbrt (* (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y))) 2.0)) (cbrt (* (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y))) 2.0))) (cbrt (* (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y))) 2.0)) (* (* (* (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y))) 2.0) (* (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y))) 2.0)) (* (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y))) 2.0)) (sqrt (* (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y))) 2.0)) (sqrt (* (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y))) 2.0)) (* (sqrt (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y)))) (sqrt 2.0)) (* (sqrt (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y)))) (sqrt 2.0)) (* (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y))) (* (cbrt 2.0) (cbrt 2.0))) (* (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y))) (sqrt 2.0)) (* (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y))) 1) (* (cbrt (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y)))) 2.0) (* (sqrt (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y)))) 2.0) (* (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- 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))) 0.900 * * [simplify]: iteration 0 : 97 enodes (cost 262 ) 0.903 * * [simplify]: iteration 1 : 372 enodes (cost 207 ) 0.914 * * [simplify]: iteration 2 : 2710 enodes (cost 193 ) 0.986 * * [simplify]: iteration 3 : 5001 enodes (cost 192 ) 0.987 * [simplify]: Simplified to: (expm1 (fma (pow x 1) (pow x 1) (* x (- y)))) (log1p (fma (pow x 1) (pow x 1) (* x (- y)))) (pow x 2) (+ (log x) (log (- x y))) (pow (exp x) (- x y)) (* (cbrt (fma (pow x 1) (pow x 1) (* x (- y)))) (cbrt (fma (pow x 1) (pow x 1) (* x (- y))))) (cbrt (fma (pow x 1) (pow x 1) (* x (- y)))) (pow (- (pow x 2) (* x y)) 3) (sqrt (fma (pow x 1) (pow x 1) (* x (- y)))) (sqrt (fma (pow x 1) (pow x 1) (* x (- y)))) (expm1 (* (fma (pow x 1) (pow x 1) (* x (- y))) 2.0)) (log1p (* (fma (pow x 1) (pow x 1) (* x (- y))) 2.0)) (* (* 2.0 x) (- x y)) (log (* 2.0 (- (pow x 2) (* x y)))) (log (* 2.0 (- (pow x 2) (* x y)))) (pow (exp 2.0) (* x (- x y))) (pow (* 2.0 (- (pow x 2) (* x y))) 3) (* (cbrt (* (fma (pow x 1) (pow x 1) (* x (- y))) 2.0)) (cbrt (* (fma (pow x 1) (pow x 1) (* x (- y))) 2.0))) (cbrt (* (fma (pow x 1) (pow x 1) (* x (- y))) 2.0)) (pow (* 2.0 (- (pow x 2) (* x y))) 3) (sqrt (* (fma (pow x 1) (pow x 1) (* x (- y))) 2.0)) (sqrt (* (fma (pow x 1) (pow x 1) (* x (- y))) 2.0)) (* (sqrt (fma (pow x 1) (pow x 1) (* x (- y)))) (sqrt 2.0)) (* (sqrt (fma (pow x 1) (pow x 1) (* x (- y)))) (sqrt 2.0)) (* (cbrt 2.0) (* (cbrt 2.0) (* x (- x y)))) (* (sqrt 2.0) (* x (- x y))) (* x (- x y)) (* (cbrt (fma (pow x 1) (pow x 1) (* x (- y)))) 2.0) (* (sqrt (fma (pow x 1) (pow x 1) (* x (- y)))) 2.0) (* (* 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)) 0.987 * * * [progress]: adding candidates to table 1.061 * [progress]: [Phase 3 of 3] Extracting. 1.061 * * [regime]: Finding splitpoints for: (# #) 1.061 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.061 * * * * [regimes]: Trying to branch on y from (# #) 1.075 * * * * [regimes]: Trying to branch on x from (# #) 1.085 * * * [regime]: Found split indices: #