11.398 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (/ (- x y) (* (* x 2.0) y)) 0.029 * * [simplify]: iteration 0 : 18 enodes (cost 4 ) 0.030 * * [simplify]: iteration 1 : 48 enodes (cost 4 ) 0.032 * * [simplify]: iteration 2 : 106 enodes (cost 4 ) 0.034 * * [simplify]: iteration 3 : 174 enodes (cost 4 ) 0.036 * * [simplify]: iteration 4 : 198 enodes (cost 4 ) 0.038 * * [simplify]: iteration 5 : 203 enodes (cost 4 ) 0.040 * * [simplify]: iteration 6 : 203 enodes (cost 4 ) 0.040 * [simplify]: Simplified to: (/ (- x y) (* (* x 2.0) y)) 0.041 * * [progress]: iteration 1 / 4 0.041 * * * [progress]: picking best candidate 0.042 * * * * [pick]: Picked # 0.042 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.064 * * * [progress]: generating series expansions 0.064 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.064 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.064 * [taylor]: Taking taylor expansion of 0.5 in y 0.064 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in y 0.064 * [taylor]: Taking taylor expansion of (- x y) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (* x y) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.065 * [taylor]: Taking taylor expansion of 0.5 in x 0.065 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.065 * [taylor]: Taking taylor expansion of (- x y) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (* x y) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.065 * [taylor]: Taking taylor expansion of 0.5 in x 0.065 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.065 * [taylor]: Taking taylor expansion of (- x y) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (* x y) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of -0.5 in y 0.067 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.067 * [taylor]: Taking taylor expansion of 0.5 in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.077 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.077 * [taylor]: Taking taylor expansion of 0.5 in y 0.077 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.077 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (* x y) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.078 * [taylor]: Taking taylor expansion of 0.5 in x 0.078 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.078 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (* x y) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.078 * [taylor]: Taking taylor expansion of 0.5 in x 0.078 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.078 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (* x y) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.080 * [taylor]: Taking taylor expansion of 0.5 in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.085 * [taylor]: Taking taylor expansion of 0.5 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.109 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.109 * [taylor]: Taking taylor expansion of 0.5 in y 0.109 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.109 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.110 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.110 * [taylor]: Taking taylor expansion of 0.5 in x 0.110 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 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 (/ 1 x) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.110 * [taylor]: Taking taylor expansion of 0.5 in x 0.110 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.115 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.115 * [taylor]: Taking taylor expansion of 0.5 in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of 0.5 in y 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.138 * * * [progress]: simplifying candidates 0.139 * [simplify]: Simplifying using # : (expm1 (/ (- x y) (* (* x 2.0) y))) (log1p (/ (- x y) (* (* x 2.0) y))) (- (log (- x y)) (+ (+ (log x) (log 2.0)) (log y))) (- (log (- x y)) (+ (log (* x 2.0)) (log y))) (- (log (- x y)) (log (* (* x 2.0) y))) (log (/ (- x y) (* (* x 2.0) y))) (exp (/ (- x y) (* (* x 2.0) y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* y y) y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* y y) y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x 2.0) y))) (* (cbrt (/ (- x y) (* (* x 2.0) y))) (cbrt (/ (- x y) (* (* x 2.0) y)))) (cbrt (/ (- x y) (* (* x 2.0) y))) (* (* (/ (- x y) (* (* x 2.0) y)) (/ (- x y) (* (* x 2.0) y))) (/ (- x y) (* (* x 2.0) y))) (sqrt (/ (- x y) (* (* x 2.0) y))) (sqrt (/ (- x y) (* (* x 2.0) y))) (- (- x y)) (- (* (* x 2.0) y)) (/ x (* (* x 2.0) y)) (/ y (* (* x 2.0) y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* x 2.0)) (/ (cbrt (- x y)) y) (/ (sqrt (- x y)) (* x 2.0)) (/ (sqrt (- x y)) y) (/ 1 (* x 2.0)) (/ (- x y) y) (/ (+ (sqrt x) (sqrt y)) (* x 2.0)) (/ (- (sqrt x) (sqrt y)) y) (/ 1 (* x 2.0)) (/ (- x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (- x y)) (/ (- x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (- x y))) (/ (* (* x 2.0) y) (sqrt (- x y))) (/ (* (* x 2.0) y) (- x y)) (/ (* (* x 2.0) y) (- (sqrt x) (sqrt y))) (/ (* (* x 2.0) y) (- x y)) (* (* (* x 2.0) y) (+ (* x x) (+ (* y y) (* x y)))) (* (* (* x 2.0) y) (+ x y)) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.143 * * [simplify]: iteration 0 : 242 enodes (cost 218 ) 0.147 * * [simplify]: iteration 1 : 990 enodes (cost 181 ) 0.166 * * [simplify]: iteration 2 : 5002 enodes (cost 180 ) 0.168 * [simplify]: Simplified to: (expm1 (/ (- x y) (* (* x 2.0) y))) (log1p (/ (- x y) (* (* x 2.0) y))) (log (/ (- x y) (* (* x 2.0) y))) (log (/ (- x y) (* (* x 2.0) y))) (log (/ (- x y) (* (* x 2.0) y))) (log (/ (- x y) (* (* x 2.0) y))) (exp (/ (- x y) (* (* x 2.0) y))) (pow (/ (- x y) (* (* x 2.0) y)) 3) (pow (/ (- x y) (* (* x 2.0) y)) 3) (pow (/ (- x y) (* (* x 2.0) y)) 3) (* (cbrt (/ (- x y) (* (* x 2.0) y))) (cbrt (/ (- x y) (* (* x 2.0) y)))) (cbrt (/ (- x y) (* (* x 2.0) y))) (pow (/ (- x y) (* (* x 2.0) y)) 3) (sqrt (/ (- x y) (* (* x 2.0) y))) (sqrt (/ (- x y) (* (* x 2.0) y))) (- (- x y)) (- (* (* x 2.0) y)) (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* x 2.0)) (/ (cbrt (- x y)) y) (/ (sqrt (- x y)) (* x 2.0)) (/ (sqrt (- x y)) y) (/ 1 (* x 2.0)) (/ (- x y) y) (/ (+ (sqrt x) (sqrt y)) (* x 2.0)) (/ (- (sqrt x) (sqrt y)) y) (/ 1 (* x 2.0)) (/ (- x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (- x y)) (/ (- x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (- x y))) (/ (* (* x 2.0) y) (sqrt (- x y))) (/ (* (* x 2.0) y) (- x y)) (/ (* (* x 2.0) y) (- (sqrt x) (sqrt y))) (/ (* (* x 2.0) y) (- x y)) (* (* x 2.0) (* y (fma x x (fma y y (* x y))))) (* (* (* x 2.0) y) (+ x y)) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) 0.168 * * * [progress]: adding candidates to table 0.221 * * [progress]: iteration 2 / 4 0.222 * * * [progress]: picking best candidate 0.224 * * * * [pick]: Picked # 0.224 * * * [progress]: localizing error 0.232 * * * [progress]: generating rewritten candidates 0.232 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.253 * * * [progress]: generating series expansions 0.253 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.253 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in (y x) around 0 0.253 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in x 0.253 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.253 * [taylor]: Taking taylor expansion of 0.5 in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.253 * [taylor]: Taking taylor expansion of 0.5 in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in y 0.254 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.254 * [taylor]: Taking taylor expansion of 0.5 in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.254 * [taylor]: Taking taylor expansion of 0.5 in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in y 0.254 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.254 * [taylor]: Taking taylor expansion of 0.5 in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.255 * [taylor]: Taking taylor expansion of 0.5 in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of 0.5 in x 0.256 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 x))) in x 0.256 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.256 * [taylor]: Taking taylor expansion of 0.5 in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of 0 in x 0.262 * [taylor]: Taking taylor expansion of 0 in x 0.266 * [taylor]: Taking taylor expansion of 0 in x 0.267 * [approximate]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in (y x) around 0 0.267 * [taylor]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in x 0.267 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.267 * [taylor]: Taking taylor expansion of 0.5 in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.267 * [taylor]: Taking taylor expansion of 0.5 in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in y 0.267 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.267 * [taylor]: Taking taylor expansion of 0.5 in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.267 * [taylor]: Taking taylor expansion of 0.5 in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in y 0.267 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.267 * [taylor]: Taking taylor expansion of 0.5 in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.267 * [taylor]: Taking taylor expansion of 0.5 in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.267 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.267 * [taylor]: Taking taylor expansion of 0.5 in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of 0.5 in x 0.273 * [taylor]: Taking taylor expansion of 0 in x 0.275 * [taylor]: Taking taylor expansion of 0 in x 0.276 * [approximate]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in (y x) around 0 0.276 * [taylor]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in x 0.276 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.276 * [taylor]: Taking taylor expansion of 0.5 in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.276 * [taylor]: Taking taylor expansion of 0.5 in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in y 0.276 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.276 * [taylor]: Taking taylor expansion of 0.5 in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.276 * [taylor]: Taking taylor expansion of 0.5 in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in y 0.276 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.276 * [taylor]: Taking taylor expansion of 0.5 in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.276 * [taylor]: Taking taylor expansion of 0.5 in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.277 * [taylor]: Taking taylor expansion of 0.5 in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.279 * [taylor]: Taking taylor expansion of 0.5 in x 0.285 * [taylor]: Taking taylor expansion of 0 in x 0.287 * [taylor]: Taking taylor expansion of 0 in x 0.288 * * * [progress]: simplifying candidates 0.290 * [simplify]: Simplifying using # : (fma (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (- (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0))))))) (fma (- (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))))) (fma (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (- (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0)))))) (fma (- (sqrt (/ 1 (* x 2.0)))) (sqrt (/ 1 (* x 2.0))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0))))) (fma (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (- (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x)))) (fma (- (/ (cbrt 1) 2.0)) (/ (* (cbrt 1) (cbrt 1)) x) (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x))) (fma (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (- (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x)))) (fma (- (/ (sqrt 1) 2.0)) (/ (sqrt 1) x) (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x))) (fma (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (- (* (/ 1 2.0) (/ 1 x)))) (fma (- (/ 1 2.0)) (/ 1 x) (* (/ 1 2.0) (/ 1 x))) (fma (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0))))))) (fma (- (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))))) (fma (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0)))))) (fma (- (sqrt (/ 1 (* x 2.0)))) (sqrt (/ 1 (* x 2.0))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0))))) (fma (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x)))) (fma (- (/ (cbrt 1) 2.0)) (/ (* (cbrt 1) (cbrt 1)) x) (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x))) (fma (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x)))) (fma (- (/ (sqrt 1) 2.0)) (/ (sqrt 1) x) (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x))) (fma (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- (* (/ 1 2.0) (/ 1 x)))) (fma (- (/ 1 2.0)) (/ 1 x) (* (/ 1 2.0) (/ 1 x))) (fma (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma (/ (* (cbrt 1) (cbrt 1)) 2.0) (/ (cbrt 1) y) (- (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0))))))) (fma (- (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))))) (fma (/ (* (cbrt 1) (cbrt 1)) 2.0) (/ (cbrt 1) y) (- (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0)))))) 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1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))))) (fma (/ (sqrt 1) 2.0) (/ (sqrt 1) y) (- (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0)))))) (fma (- (sqrt (/ 1 (* x 2.0)))) (sqrt (/ 1 (* x 2.0))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0))))) (fma (/ (sqrt 1) 2.0) (/ (sqrt 1) y) (- (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x)))) (fma (- (/ (cbrt 1) 2.0)) (/ (* (cbrt 1) (cbrt 1)) x) (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x))) (fma (/ (sqrt 1) 2.0) (/ (sqrt 1) y) (- (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x)))) (fma (- (/ (sqrt 1) 2.0)) (/ (sqrt 1) x) (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x))) (fma (/ (sqrt 1) 2.0) (/ (sqrt 1) y) (- (* (/ 1 2.0) (/ 1 x)))) (fma (- (/ 1 2.0)) (/ 1 x) (* (/ 1 2.0) (/ 1 x))) (fma (/ (sqrt 1) 2.0) (/ (sqrt 1) y) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma (/ (sqrt 1) 2.0) (/ (sqrt 1) y) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma (/ 1 2.0) (/ 1 y) (- (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0))))))) (fma (- (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))))) (fma (/ 1 2.0) (/ 1 y) (- (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0)))))) (fma (- (sqrt (/ 1 (* x 2.0)))) (sqrt (/ 1 (* x 2.0))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0))))) (fma (/ 1 2.0) (/ 1 y) (- (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x)))) (fma (- (/ (cbrt 1) 2.0)) (/ (* (cbrt 1) (cbrt 1)) x) (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x))) (fma (/ 1 2.0) (/ 1 y) (- (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x)))) (fma (- (/ (sqrt 1) 2.0)) (/ (sqrt 1) x) (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x))) (fma (/ 1 2.0) (/ 1 y) (- (* (/ 1 2.0) (/ 1 x)))) (fma (- (/ 1 2.0)) (/ 1 x) (* (/ 1 2.0) (/ 1 x))) (fma (/ 1 2.0) (/ 1 y) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 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x)))) (fma (- (/ 1 2.0)) (/ 1 x) (* (/ 1 2.0) (/ 1 x))) (fma 1 (/ 1 (* 2.0 y)) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma 1 (/ 1 (* 2.0 y)) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (expm1 (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (log1p (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (/ (exp (/ 1 (* 2.0 y))) (exp (/ 1 (* x 2.0)))) (log (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (exp (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (* (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (* (* (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (- (* 1 (* x 2.0)) (* (* 2.0 y) 1)) (* (* 2.0 y) (* x 2.0)) (- (pow (/ 1 (* 2.0 y)) 3) (pow (/ 1 (* x 2.0)) 3)) (+ (* (/ 1 (* 2.0 y)) (/ 1 (* 2.0 y))) (+ (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0))) (* (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))) (- (/ 1 (* x 2.0))) (- (* (/ 1 (* 2.0 y)) (/ 1 (* 2.0 y))) (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0)))) (+ (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (+ (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* x 2.0)))) (- (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* x 2.0)))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.297 * * [simplify]: iteration 0 : 287 enodes (cost 1302 ) 0.303 * * [simplify]: iteration 1 : 991 enodes (cost 733 ) 0.324 * * [simplify]: iteration 2 : 5002 enodes (cost 682 ) 0.328 * [simplify]: Simplified to: (- (* (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y)))) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (* (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y)))) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (* (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y)))) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (* (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y)))) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (* (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y)))) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (* (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y)))) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (* (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y)))) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (expm1 (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (log1p (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (exp (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (log (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (exp (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (* (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (pow (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) 3) (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (* 2.0 (- x y)) (* (* 2.0 y) (* x 2.0)) (- (pow (/ 1 (* 2.0 y)) 3) (pow (/ 1 (* x 2.0)) 3)) (fma (+ (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ 1 (* x 2.0)) (/ (/ 1 (* 2.0 y)) (* 2.0 y))) (- (/ 1 (* x 2.0))) (* (/ 1 2.0) (- (/ (/ 1 (* 2.0 y)) y) (/ (/ 1 (* x 2.0)) x))) (+ (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (+ (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* x 2.0)))) (- (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* x 2.0)))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) 0.329 * * * [progress]: adding candidates to table 0.389 * * [progress]: iteration 3 / 4 0.389 * * * [progress]: picking best candidate 0.390 * * * * [pick]: Picked # 0.390 * * * [progress]: localizing error 0.396 * * * [progress]: generating rewritten candidates 0.396 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.411 * * * [progress]: generating series expansions 0.411 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.411 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in (x y) around 0 0.411 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.411 * [taylor]: Taking taylor expansion of 0.5 in y 0.411 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in y 0.411 * [taylor]: Taking taylor expansion of (- x y) in y 0.411 * [taylor]: Taking taylor expansion of x in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.411 * [taylor]: Taking taylor expansion of (* x y) in y 0.411 * [taylor]: Taking taylor expansion of x in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.412 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.412 * [taylor]: Taking taylor expansion of 0.5 in x 0.412 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.412 * [taylor]: Taking taylor expansion of (- x y) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of (* x y) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.412 * [taylor]: Taking taylor expansion of 0.5 in x 0.412 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.413 * [taylor]: Taking taylor expansion of (- x y) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.413 * [taylor]: Taking taylor expansion of (* x y) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.413 * [taylor]: Taking taylor expansion of -0.5 in y 0.415 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.415 * [taylor]: Taking taylor expansion of 0.5 in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.420 * [taylor]: Taking taylor expansion of 0 in y 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.424 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.424 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.424 * [taylor]: Taking taylor expansion of 0.5 in y 0.425 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.425 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.425 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.425 * [taylor]: Taking taylor expansion of x in y 0.425 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.425 * [taylor]: Taking taylor expansion of y in y 0.425 * [taylor]: Taking taylor expansion of (* x y) in y 0.425 * [taylor]: Taking taylor expansion of x in y 0.425 * [taylor]: Taking taylor expansion of y in y 0.425 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.425 * [taylor]: Taking taylor expansion of 0.5 in x 0.425 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.425 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [taylor]: Taking taylor expansion of (* x y) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.426 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.426 * [taylor]: Taking taylor expansion of 0.5 in x 0.426 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.426 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.426 * [taylor]: Taking taylor expansion of (* x y) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.428 * [taylor]: Taking taylor expansion of 0.5 in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.431 * [taylor]: Taking taylor expansion of 0.5 in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.443 * [taylor]: Taking taylor expansion of 0 in y 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.449 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.449 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.449 * [taylor]: Taking taylor expansion of 0.5 in y 0.449 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.449 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.449 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.449 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.449 * [taylor]: Taking taylor expansion of 0.5 in x 0.449 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.450 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.450 * [taylor]: Taking taylor expansion of 0.5 in x 0.450 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.450 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.453 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.453 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.453 * [taylor]: Taking taylor expansion of 0.5 in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of 0.5 in y 0.459 * [taylor]: Taking taylor expansion of 0 in y 0.464 * [taylor]: Taking taylor expansion of 0 in y 0.469 * [taylor]: Taking taylor expansion of 0 in y 0.469 * * * [progress]: simplifying candidates 0.471 * [simplify]: Simplifying using # : (expm1 (/ (/ (- x y) (* x 2.0)) y)) (log1p (/ (/ (- x y) (* x 2.0)) y)) (- (- (log (- x y)) (+ (log x) (log 2.0))) (log y)) (- (- (log (- x y)) (log (* x 2.0))) (log y)) (- (log (/ (- x y) (* x 2.0))) (log y)) (log (/ (/ (- x y) (* x 2.0)) y)) (exp (/ (/ (- x y) (* x 2.0)) y)) (/ (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (* (* y y) y)) (/ (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (* y y) y)) (/ (* (* (/ (- x y) (* x 2.0)) (/ (- x y) (* x 2.0))) (/ (- x y) (* x 2.0))) (* (* y y) y)) (* (cbrt (/ (/ (- x y) (* x 2.0)) y)) (cbrt (/ (/ (- x y) (* x 2.0)) y))) (cbrt (/ (/ (- x y) (* x 2.0)) y)) (* (* (/ (/ (- x y) (* x 2.0)) y) (/ (/ (- x y) (* x 2.0)) y)) (/ (/ (- x y) (* x 2.0)) y)) (sqrt (/ (/ (- x y) (* x 2.0)) y)) (sqrt (/ (/ (- x y) (* x 2.0)) y)) (- (/ (- x y) (* x 2.0))) (- y) (/ (/ x (* x 2.0)) y) (/ (/ y (* x 2.0)) y) (/ (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (- x y) (* x 2.0))) (cbrt y)) (/ (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) (sqrt y)) (/ (cbrt (/ (- x y) (* x 2.0))) (sqrt y)) (/ (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) 1) (/ (cbrt (/ (- x y) (* x 2.0))) y) (/ (sqrt (/ (- x y) (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (- x y) (* x 2.0))) (cbrt y)) (/ (sqrt (/ (- x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (- x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (- x y) (* x 2.0))) 1) (/ (sqrt (/ (- x y) (* x 2.0))) y) (/ (/ (* (cbrt (- x y)) (cbrt (- x y))) x) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (- x y)) 2.0) (cbrt y)) (/ (/ (* (cbrt (- x y)) (cbrt (- x y))) x) (sqrt y)) (/ (/ (cbrt (- x y)) 2.0) (sqrt y)) (/ (/ (* (cbrt (- x y)) (cbrt (- x y))) x) 1) (/ (/ (cbrt (- x y)) 2.0) y) (/ (/ (sqrt (- x y)) x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (- x y)) 2.0) (cbrt y)) (/ (/ (sqrt (- x y)) x) (sqrt y)) (/ (/ (sqrt (- x y)) 2.0) (sqrt y)) (/ (/ (sqrt (- x y)) x) 1) (/ (/ (sqrt (- x y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (- x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (- x y) 2.0) (sqrt y)) (/ (/ 1 x) 1) (/ (/ (- x y) 2.0) y) (/ (/ (+ (sqrt x) (sqrt y)) x) (* (cbrt y) (cbrt y))) (/ (/ (- (sqrt x) (sqrt y)) 2.0) (cbrt y)) (/ (/ (+ (sqrt x) (sqrt y)) x) (sqrt y)) (/ (/ (- (sqrt x) (sqrt y)) 2.0) (sqrt y)) (/ (/ (+ (sqrt x) (sqrt y)) x) 1) (/ (/ (- (sqrt x) (sqrt y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (- x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (- x y) 2.0) (sqrt y)) (/ (/ 1 x) 1) (/ (/ (- x y) 2.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (- x y) (* x 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (- x y) (* x 2.0)) (sqrt y)) (/ 1 1) (/ (/ (- x y) (* x 2.0)) y) (/ (- x y) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (cbrt y)) (/ (- x y) (sqrt y)) (/ (/ 1 (* x 2.0)) (sqrt y)) (/ (- x y) 1) (/ (/ 1 (* x 2.0)) y) (/ 1 y) (/ y (/ (- x y) (* x 2.0))) (/ (/ (- x y) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (- x y) (* x 2.0)) (sqrt y)) (/ (/ (- x y) (* x 2.0)) 1) (/ y (cbrt (/ (- x y) (* x 2.0)))) (/ y (sqrt (/ (- x y) (* x 2.0)))) (/ y (/ (cbrt (- x y)) 2.0)) (/ y (/ (sqrt (- x y)) 2.0)) (/ y (/ (- x y) 2.0)) (/ y (/ (- (sqrt x) (sqrt y)) 2.0)) (/ y (/ (- x y) 2.0)) (/ y (/ (- x y) (* x 2.0))) (/ y (/ 1 (* x 2.0))) (* y (* x 2.0)) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.475 * * [simplify]: iteration 0 : 333 enodes (cost 465 ) 0.481 * * [simplify]: iteration 1 : 1346 enodes (cost 427 ) 0.503 * * [simplify]: iteration 2 : 5001 enodes (cost 426 ) 0.505 * [simplify]: Simplified to: (expm1 (/ (/ (- x y) (* x 2.0)) y)) (log1p (/ (/ (- x y) (* x 2.0)) y)) (log (/ (/ (- x y) (* x 2.0)) y)) (log (/ (/ (- x y) (* x 2.0)) y)) (log (/ (/ (- x y) (* x 2.0)) y)) (log (/ (/ (- x y) (* x 2.0)) y)) (exp (/ (/ (- x y) (* x 2.0)) y)) (pow (/ (/ (- x y) (* x 2.0)) y) 3) (pow (/ (/ (- x y) (* x 2.0)) y) 3) (pow (/ (/ (- x y) (* x 2.0)) y) 3) (* (cbrt (/ (/ (- x y) (* x 2.0)) y)) (cbrt (/ (/ (- x y) (* x 2.0)) y))) (cbrt (/ (/ (- x y) (* x 2.0)) y)) (pow (/ (/ (- x y) (* x 2.0)) y) 3) (sqrt (/ (/ (- x y) (* x 2.0)) y)) (sqrt (/ (/ (- x y) (* x 2.0)) y)) (- (/ (- x y) (* x 2.0))) (- y) (/ 1 (* y 2.0)) (/ 1 (* x 2.0)) (/ (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (- x y) (* x 2.0))) (cbrt y)) (/ (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) (sqrt y)) (/ (cbrt (/ (- x y) (* x 2.0))) (sqrt y)) (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) (/ (cbrt (/ (- x y) (* x 2.0))) y) (/ (sqrt (/ (- x y) (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (- x y) (* x 2.0))) (cbrt y)) (/ (sqrt (/ (- x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (- x y) (* x 2.0))) (sqrt y)) (sqrt (/ (- x y) (* x 2.0))) (/ (sqrt (/ (- x y) (* x 2.0))) y) (/ (/ (* (cbrt (- x y)) (cbrt (- x y))) x) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (- x y)) 2.0) (cbrt y)) (/ (/ (* (cbrt (- x y)) (cbrt (- x y))) x) (sqrt y)) (/ (/ (cbrt (- x y)) 2.0) (sqrt y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) x) (/ (/ (cbrt (- x y)) 2.0) y) (/ (/ (sqrt (- x y)) x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (- x y)) 2.0) (cbrt y)) (/ (/ (sqrt (- x y)) x) (sqrt y)) (/ (/ (sqrt (- x y)) 2.0) (sqrt y)) (/ (sqrt (- x y)) x) (/ (/ (sqrt (- x y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (- x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (- x y) 2.0) (sqrt y)) (/ 1 x) (/ (/ (- x y) 2.0) y) (/ (/ (+ (sqrt x) (sqrt y)) x) (* (cbrt y) (cbrt y))) (/ (/ (- (sqrt x) (sqrt y)) 2.0) (cbrt y)) (/ (/ (+ (sqrt x) (sqrt y)) x) (sqrt y)) (/ (/ (- (sqrt x) (sqrt y)) 2.0) (sqrt y)) (/ (+ (sqrt x) (sqrt y)) x) (/ (/ (- (sqrt x) (sqrt y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (- x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (- x y) 2.0) (sqrt y)) (/ 1 x) (/ (/ (- x y) 2.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (- x y) (* x 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (- x y) (* x 2.0)) (sqrt y)) 1 (/ (/ (- x y) (* x 2.0)) y) (/ (- x y) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (cbrt y)) (/ (- x y) (sqrt y)) (/ (/ 1 (* x 2.0)) (sqrt y)) (- x y) (/ (/ 1 (* x 2.0)) y) (/ 1 y) (/ y (/ (- x y) (* x 2.0))) (/ (/ (- x y) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (- x y) (* x 2.0)) (sqrt y)) (/ (- x y) (* x 2.0)) (/ y (cbrt (/ (- x y) (* x 2.0)))) (/ y (sqrt (/ (- x y) (* x 2.0)))) (/ y (/ (cbrt (- x y)) 2.0)) (/ y (/ (sqrt (- x y)) 2.0)) (/ y (/ (- x y) 2.0)) (/ y (/ (- (sqrt x) (sqrt y)) 2.0)) (/ y (/ (- x y) 2.0)) (/ y (/ (- x y) (* x 2.0))) (* y (* x 2.0)) (* y (* x 2.0)) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) 0.506 * * * [progress]: adding candidates to table 0.606 * [progress]: [Phase 3 of 3] Extracting. 0.607 * * [regime]: Finding splitpoints for: (# #) 0.607 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.607 * * * * [regimes]: Trying to branch on y from (# #) 0.617 * * * * [regimes]: Trying to branch on x from (# #) 0.629 * * * [regime]: Found split indices: #