27.941 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (/ (- x y) (* (* x 2.0) y)) 0.017 * * [simplify]: iteration 0 : 18 enodes (cost 4 ) 0.018 * * [simplify]: iteration 1 : 48 enodes (cost 4 ) 0.020 * * [simplify]: iteration 2 : 106 enodes (cost 4 ) 0.022 * * [simplify]: iteration 3 : 174 enodes (cost 4 ) 0.024 * * [simplify]: iteration 4 : 198 enodes (cost 4 ) 0.026 * * [simplify]: iteration 5 : 203 enodes (cost 4 ) 0.029 * * [simplify]: iteration 6 : 203 enodes (cost 4 ) 0.029 * [simplify]: Simplified to: (/ (- x y) (* (* x 2.0) y)) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.031 * * * * [pick]: Picked # 0.031 * * * [progress]: localizing error 0.036 * * * [progress]: generating rewritten candidates 0.036 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.045 * * * [progress]: generating series expansions 0.045 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.046 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.046 * [taylor]: Taking taylor expansion of 0.5 in y 0.046 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in y 0.046 * [taylor]: Taking taylor expansion of (- x y) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (* x y) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.047 * [taylor]: Taking taylor expansion of 0.5 in x 0.047 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.047 * [taylor]: Taking taylor expansion of (- x y) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (* x y) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.047 * [taylor]: Taking taylor expansion of 0.5 in x 0.047 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.047 * [taylor]: Taking taylor expansion of (- x y) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (* x y) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of -0.5 in y 0.049 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.049 * [taylor]: Taking taylor expansion of 0.5 in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.058 * [taylor]: Taking taylor expansion of 0.5 in y 0.058 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.058 * [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 y) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.059 * [taylor]: Taking taylor expansion of 0.5 in x 0.059 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.059 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (* x y) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.059 * [taylor]: Taking taylor expansion of 0.5 in x 0.059 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.059 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [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 y) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.062 * [taylor]: Taking taylor expansion of 0.5 in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.064 * [taylor]: Taking taylor expansion of 0.5 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.079 * [taylor]: Taking taylor expansion of 0.5 in y 0.079 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.079 * [taylor]: Taking taylor expansion of 0.5 in x 0.079 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.080 * [taylor]: Taking taylor expansion of 0.5 in x 0.080 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.082 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.082 * [taylor]: Taking taylor expansion of 0.5 in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of 0.5 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.102 * * * [progress]: simplifying candidates 0.102 * [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))) 0.106 * * [simplify]: iteration 0 : 242 enodes (cost 218 ) 0.111 * * [simplify]: iteration 1 : 990 enodes (cost 181 ) 0.131 * * [simplify]: iteration 2 : 5002 enodes (cost 180 ) 0.133 * [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))) 0.133 * * * [progress]: adding candidates to table 0.183 * * [progress]: iteration 2 / 4 0.183 * * * [progress]: picking best candidate 0.187 * * * * [pick]: Picked # 0.187 * * * [progress]: localizing error 0.192 * * * [progress]: generating rewritten candidates 0.192 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.224 * * * [progress]: generating series expansions 0.224 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.224 * [approximate]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in (y x) around 0 0.224 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.225 * [taylor]: Taking taylor expansion of x in y 0.225 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.225 * [taylor]: Taking taylor expansion of x in y 0.226 * [taylor]: Taking taylor expansion of 1 in x 0.226 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of 0 in x 0.229 * [taylor]: Taking taylor expansion of 0 in x 0.231 * [taylor]: Taking taylor expansion of 0 in x 0.231 * [approximate]: Taking taylor expansion of (- y x) in (y x) around 0 0.232 * [taylor]: Taking taylor expansion of (- y x) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (- y x) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [taylor]: Taking taylor expansion of (- y x) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [taylor]: Taking taylor expansion of (- x) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of 1 in x 0.233 * [taylor]: Taking taylor expansion of 0 in x 0.234 * [taylor]: Taking taylor expansion of 0 in x 0.234 * [approximate]: Taking taylor expansion of (- x y) in (y x) around 0 0.234 * [taylor]: Taking taylor expansion of (- x y) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of (- x y) in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of (- x y) in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of -1 in x 0.235 * [taylor]: Taking taylor expansion of 0 in x 0.236 * [taylor]: Taking taylor expansion of 0 in x 0.236 * * * [progress]: simplifying candidates 0.244 * [simplify]: Simplifying using # : (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (cbrt (/ 1 x)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))))) (fma (- (cbrt (/ 1 x))) (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (* (cbrt (/ 1 x)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x))))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (sqrt (/ 1 x)) (sqrt (/ 1 x))))) (fma (- (sqrt (/ 1 x))) (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ (cbrt 1) (cbrt x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)))))) (fma (- (/ (cbrt 1) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))) (* (/ (cbrt 1) (cbrt x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ (cbrt 1) (sqrt x)) (/ (* (cbrt 1) (cbrt 1)) (sqrt x))))) (fma (- (/ (cbrt 1) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt x)) (* (/ (cbrt 1) (sqrt x)) (/ (* (cbrt 1) (cbrt 1)) (sqrt x)))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ (cbrt 1) x) (/ (* (cbrt 1) (cbrt 1)) 1)))) (fma (- (/ (cbrt 1) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (* (/ (cbrt 1) x) (/ (* (cbrt 1) (cbrt 1)) 1))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ (sqrt 1) (cbrt x)) (/ (sqrt 1) (* (cbrt x) (cbrt x)))))) (fma (- (/ (sqrt 1) (cbrt x))) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (* (/ (sqrt 1) (cbrt x)) (/ (sqrt 1) (* (cbrt x) (cbrt x))))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ (sqrt 1) (sqrt x)) (/ (sqrt 1) (sqrt x))))) (fma (- (/ (sqrt 1) (sqrt x))) (/ (sqrt 1) (sqrt x)) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt 1) (sqrt x)))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ (sqrt 1) x) (/ (sqrt 1) 1)))) (fma (- (/ (sqrt 1) x)) (/ (sqrt 1) 1) (* (/ (sqrt 1) x) (/ (sqrt 1) 1))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ 1 (cbrt x)) (/ 1 (* (cbrt x) (cbrt x)))))) (fma (- (/ 1 (cbrt x))) (/ 1 (* (cbrt x) (cbrt x))) (* (/ 1 (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))))) (fma (- (/ 1 (sqrt x))) (/ 1 (sqrt x)) (* (/ 1 (sqrt x)) (/ 1 (sqrt x)))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ 1 x) (/ 1 1)))) (fma (- (/ 1 x)) (/ 1 1) (* (/ 1 x) (/ 1 1))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ 1 x) 1))) (fma (- (/ 1 x)) 1 (* (/ 1 x) 1)) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ 1 x) 1))) (fma (- (/ 1 x)) 1 (* (/ 1 x) 1)) (fma (sqrt (/ 1 y)) (sqrt (/ 1 y)) (- (* (cbrt (/ 1 x)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))))) (fma (- (cbrt (/ 1 x))) (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (* (cbrt (/ 1 x)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x))))) (fma (sqrt (/ 1 y)) (sqrt (/ 1 y)) (- (* (sqrt (/ 1 x)) (sqrt (/ 1 x))))) (fma (- (sqrt (/ 1 x))) (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))) (fma (sqrt (/ 1 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0.260 * * [simplify]: iteration 0 : 632 enodes (cost 4575 ) 0.270 * * [simplify]: iteration 1 : 1668 enodes (cost 2587 ) 0.288 * * [simplify]: iteration 2 : 4521 enodes (cost 2326 ) 0.337 * * [simplify]: iteration 3 : 5001 enodes (cost 2232 ) 0.350 * [simplify]: Simplified to: (fma (- (sqrt (/ 1 x))) (sqrt (/ 1 x)) (pow (cbrt (/ 1 y)) 3)) (/ (+ (- 1) 1) x) (fma (- (sqrt (/ 1 x))) (sqrt (/ 1 x)) (pow (cbrt (/ 1 y)) 3)) (/ (+ (- 1) 1) x) (fma (/ (- (/ 1 (cbrt x))) (* (cbrt x) (cbrt x))) 1 (pow (cbrt (/ 1 y)) 3)) (- (pow (/ 1 (cbrt x)) 3) (pow (/ 1 (cbrt x)) 3)) (fma (/ (- (/ 1 (sqrt x))) (sqrt x)) 1 (pow (cbrt (/ 1 y)) 3)) (* (/ 1 (sqrt x)) (+ (- (/ 1 (sqrt x))) (/ 1 (sqrt x)))) (fma (- (sqrt (/ 1 x))) (sqrt (/ 1 x)) (pow (cbrt (/ 1 y)) 3)) (/ (+ (- 1) 1) x) (fma (/ (- (/ 1 (cbrt x))) (* (cbrt x) (cbrt x))) 1 (pow (cbrt (/ 1 y)) 3)) (- (pow (/ 1 (cbrt x)) 3) (pow (/ 1 (cbrt x)) 3)) (fma (/ (- (/ 1 (sqrt x))) (sqrt x)) 1 (pow (cbrt (/ 1 y)) 3)) (* (/ 1 (sqrt x)) (+ (- (/ 1 (sqrt x))) (/ 1 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x))) (* (cbrt (- (/ 1 y) (/ 1 x))) (cbrt (- (/ 1 y) (/ 1 x)))) (cbrt (- (/ 1 y) (/ 1 x))) (pow (- (/ 1 y) (/ 1 x)) 3) (sqrt (- (/ 1 y) (/ 1 x))) (sqrt (- (/ 1 y) (/ 1 x))) (fma (- 1) y x) (* y x) (- (pow (/ 1 y) 3) (pow (/ 1 x) 3)) (fma (+ (/ 1 y) (/ 1 x)) (/ 1 x) (/ (/ 1 y) y)) (- (/ 1 x)) (+ (/ (- (/ 1 x)) x) (/ (/ 1 y) y)) (+ (/ 1 y) (/ 1 x)) (+ (sqrt (/ 1 y)) (sqrt (/ 1 x))) (- (sqrt (/ 1 y)) (sqrt (/ 1 x))) (+ (sqrt (/ 1 y)) (/ 1 (sqrt x))) (- (sqrt (/ 1 y)) (/ 1 (sqrt x))) (+ (sqrt (/ 1 y)) (/ 1 (sqrt x))) (- (sqrt (/ 1 y)) (/ 1 (sqrt x))) (+ (/ 1 (sqrt y)) (sqrt (/ 1 x))) (- (/ 1 (sqrt y)) (sqrt (/ 1 x))) (+ (/ 1 (sqrt y)) (/ 1 (sqrt x))) (- (/ 1 (sqrt y)) (/ 1 (sqrt x))) (+ (/ 1 (sqrt y)) (/ 1 (sqrt x))) (- (/ 1 (sqrt y)) (/ 1 (sqrt x))) (+ (/ 1 (sqrt y)) (sqrt (/ 1 x))) (- (/ 1 (sqrt y)) (sqrt (/ 1 x))) (+ (/ 1 (sqrt y)) (/ 1 (sqrt x))) (- (/ 1 (sqrt y)) (/ 1 (sqrt x))) (+ (/ 1 (sqrt y)) (/ 1 (sqrt x))) (- (/ 1 (sqrt y)) (/ 1 (sqrt x))) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) 0.352 * * * [progress]: adding candidates to table 0.447 * * [progress]: iteration 3 / 4 0.447 * * * [progress]: picking best candidate 0.454 * * * * [pick]: Picked # 0.454 * * * [progress]: localizing error 0.460 * * * [progress]: generating rewritten candidates 0.460 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.468 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.478 * * * [progress]: generating series expansions 0.478 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.478 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in (x y) around 0 0.478 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.478 * [taylor]: Taking taylor expansion of 0.5 in y 0.478 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in y 0.478 * [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 (* x y) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.479 * [taylor]: Taking taylor expansion of 0.5 in x 0.479 * [taylor]: Taking taylor expansion of (/ (- x y) (* 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 0.479 * [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 (* 0.5 (/ (- x y) (* x y))) in x 0.480 * [taylor]: Taking taylor expansion of 0.5 in x 0.480 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.480 * [taylor]: Taking taylor expansion of (- x y) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.480 * [taylor]: Taking taylor expansion of (* x y) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.480 * [taylor]: Taking taylor expansion of -0.5 in y 0.482 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.482 * [taylor]: Taking taylor expansion of 0.5 in y 0.482 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.484 * [taylor]: Taking taylor expansion of 0 in y 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.491 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.491 * [taylor]: Taking taylor expansion of 0.5 in y 0.491 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.491 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.491 * [taylor]: Taking taylor expansion of x in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of (* x y) in y 0.491 * [taylor]: Taking taylor expansion of x in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.491 * [taylor]: Taking taylor expansion of 0.5 in x 0.491 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.491 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of (* x y) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.492 * [taylor]: Taking taylor expansion of 0.5 in x 0.492 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.492 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of (* x y) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.494 * [taylor]: Taking taylor expansion of 0.5 in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.497 * [taylor]: Taking taylor expansion of 0.5 in y 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.505 * [taylor]: Taking taylor expansion of 0 in y 0.510 * [taylor]: Taking taylor expansion of 0 in y 0.510 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.510 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.511 * [taylor]: Taking taylor expansion of 0.5 in y 0.511 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.511 * [taylor]: Taking taylor expansion of x in y 0.511 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.511 * [taylor]: Taking taylor expansion of y in y 0.511 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.511 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.511 * [taylor]: Taking taylor expansion of y in y 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.511 * [taylor]: Taking taylor expansion of x in y 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.511 * [taylor]: Taking taylor expansion of 0.5 in x 0.511 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.511 * [taylor]: Taking taylor expansion of y in x 0.511 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.511 * [taylor]: Taking taylor expansion of y in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.511 * [taylor]: Taking taylor expansion of 0.5 in x 0.511 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.512 * [taylor]: Taking taylor expansion of y in x 0.512 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.512 * [taylor]: Taking taylor expansion of y in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of 0 in y 0.514 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.514 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.514 * [taylor]: Taking taylor expansion of 0.5 in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.516 * [taylor]: Taking taylor expansion of 0.5 in y 0.520 * [taylor]: Taking taylor expansion of 0 in y 0.525 * [taylor]: Taking taylor expansion of 0 in y 0.530 * [taylor]: Taking taylor expansion of 0 in y 0.530 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.530 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in (x y) around 0 0.530 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in y 0.530 * [taylor]: Taking taylor expansion of 0.5 in y 0.530 * [taylor]: Taking taylor expansion of (/ (- x y) x) in y 0.530 * [taylor]: Taking taylor expansion of (- x y) in y 0.530 * [taylor]: Taking taylor expansion of x in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.530 * [taylor]: Taking taylor expansion of x in y 0.530 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in x 0.530 * [taylor]: Taking taylor expansion of 0.5 in x 0.531 * [taylor]: Taking taylor expansion of (/ (- x y) x) in x 0.531 * [taylor]: Taking taylor expansion of (- x y) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of y in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in x 0.531 * [taylor]: Taking taylor expansion of 0.5 in x 0.531 * [taylor]: Taking taylor expansion of (/ (- x y) x) in x 0.531 * [taylor]: Taking taylor expansion of (- x y) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of y in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of (* -0.5 y) in y 0.531 * [taylor]: Taking taylor expansion of -0.5 in y 0.531 * [taylor]: Taking taylor expansion of y in y 0.535 * [taylor]: Taking taylor expansion of 0.5 in y 0.538 * [taylor]: Taking taylor expansion of 0 in y 0.541 * [taylor]: Taking taylor expansion of 0 in y 0.541 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.541 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in y 0.541 * [taylor]: Taking taylor expansion of 0.5 in y 0.541 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in y 0.541 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.542 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.542 * [taylor]: Taking taylor expansion of x in y 0.542 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.542 * [taylor]: Taking taylor expansion of x in y 0.542 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in x 0.542 * [taylor]: Taking taylor expansion of 0.5 in x 0.542 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.542 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.542 * [taylor]: Taking taylor expansion of y in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in x 0.542 * [taylor]: Taking taylor expansion of 0.5 in x 0.542 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.542 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.543 * [taylor]: Taking taylor expansion of y in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of 0 in y 0.545 * [taylor]: Taking taylor expansion of 0.5 in y 0.547 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y))) in y 0.547 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.547 * [taylor]: Taking taylor expansion of 0.5 in y 0.547 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of 0 in y 0.554 * [taylor]: Taking taylor expansion of 0 in y 0.555 * [approximate]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.555 * [taylor]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in y 0.555 * [taylor]: Taking taylor expansion of -0.5 in y 0.555 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in y 0.555 * [taylor]: Taking taylor expansion of x in y 0.555 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.555 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.556 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.556 * [taylor]: Taking taylor expansion of x in y 0.556 * [taylor]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in x 0.556 * [taylor]: Taking taylor expansion of -0.5 in x 0.556 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.556 * [taylor]: Taking taylor expansion of y in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in x 0.556 * [taylor]: Taking taylor expansion of -0.5 in x 0.556 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.556 * [taylor]: Taking taylor expansion of y in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of 0 in y 0.560 * [taylor]: Taking taylor expansion of 0.5 in y 0.562 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y))) in y 0.562 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.562 * [taylor]: Taking taylor expansion of 0.5 in y 0.562 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.562 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.569 * [taylor]: Taking taylor expansion of 0 in y 0.571 * * * [progress]: simplifying candidates 0.572 * [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)) (expm1 (/ (- x y) (* x 2.0))) (log1p (/ (- x y) (* x 2.0))) (- (log (- x y)) (+ (log x) (log 2.0))) (- (log (- x y)) (log (* x 2.0))) (log (/ (- x y) (* x 2.0))) (exp (/ (- x y) (* x 2.0))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) (cbrt (/ (- x y) (* x 2.0))) (* (* (/ (- x y) (* x 2.0)) (/ (- x y) (* x 2.0))) (/ (- x y) (* x 2.0))) (sqrt (/ (- x y) (* x 2.0))) (sqrt (/ (- x y) (* x 2.0))) (- (- x y)) (- (* x 2.0)) (/ x (* x 2.0)) (/ y (* x 2.0)) (/ (* (cbrt (- x y)) (cbrt (- x y))) x) (/ (cbrt (- x y)) 2.0) (/ (sqrt (- x y)) x) (/ (sqrt (- x y)) 2.0) (/ 1 x) (/ (- x y) 2.0) (/ (+ (sqrt x) (sqrt y)) x) (/ (- (sqrt x) (sqrt y)) 2.0) (/ 1 x) (/ (- x y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (- x y)) (/ (- x y) x) (/ (* x 2.0) (cbrt (- x y))) (/ (* x 2.0) (sqrt (- x y))) (/ (* x 2.0) (- x y)) (/ (* x 2.0) (- (sqrt x) (sqrt y))) (/ (* x 2.0) (- x y)) (* (* x 2.0) (+ (* x x) (+ (* y y) (* x y)))) (* (* x 2.0) (+ 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))) (- 0.5 (* 0.5 (/ y x))) (- 0.5 (* 0.5 (/ y x))) (- 0.5 (* 0.5 (/ y x))) 0.577 * * [simplify]: iteration 0 : 386 enodes (cost 623 ) 0.584 * * [simplify]: iteration 1 : 1500 enodes (cost 563 ) 0.607 * * [simplify]: iteration 2 : 5001 enodes (cost 562 ) 0.611 * [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)) (expm1 (/ (- x y) (* x 2.0))) (log1p (/ (- x y) (* x 2.0))) (log (/ (- x y) (* x 2.0))) (log (/ (- x y) (* x 2.0))) (log (/ (- x y) (* x 2.0))) (exp (/ (- x y) (* x 2.0))) (pow (/ (- x y) (* x 2.0)) 3) (pow (/ (- x y) (* x 2.0)) 3) (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) (cbrt (/ (- x y) (* x 2.0))) (pow (/ (- x y) (* x 2.0)) 3) (sqrt (/ (- x y) (* x 2.0))) (sqrt (/ (- x y) (* x 2.0))) (- (- x y)) (- (* x 2.0)) (/ 1 2.0) (/ y (* x 2.0)) (/ (* (cbrt (- x y)) (cbrt (- x y))) x) (/ (cbrt (- x y)) 2.0) (/ (sqrt (- x y)) x) (/ (sqrt (- x y)) 2.0) (/ 1 x) (/ (- x y) 2.0) (/ (+ (sqrt x) (sqrt y)) x) (/ (- (sqrt x) (sqrt y)) 2.0) (/ 1 x) (/ (- x y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (- x y)) (/ (- x y) x) (/ (* x 2.0) (cbrt (- x y))) (/ (* x 2.0) (sqrt (- x y))) (/ (* x 2.0) (- x y)) (/ (* x 2.0) (- (sqrt x) (sqrt y))) (/ (* x 2.0) (- x y)) (* x (* 2.0 (fma x x (fma y y (* x y))))) (* (* x 2.0) (+ x y)) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (- 0.5 (* 0.5 (/ y x))) (- 0.5 (* 0.5 (/ y x))) (- 0.5 (* 0.5 (/ y x))) 0.611 * * * [progress]: adding candidates to table 0.735 * * [progress]: iteration 4 / 4 0.735 * * * [progress]: picking best candidate 0.736 * * * * [pick]: Picked # 0.736 * * * [progress]: localizing error 0.742 * * * [progress]: generating rewritten candidates 0.742 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.747 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.755 * * * [progress]: generating series expansions 0.755 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.755 * [approximate]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ y x))) y) in (y x) around 0 0.755 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ y x))) y) in x 0.755 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ y x))) in x 0.755 * [taylor]: Taking taylor expansion of 0.5 in x 0.755 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.755 * [taylor]: Taking taylor expansion of 0.5 in x 0.755 * [taylor]: Taking taylor expansion of (/ y x) in x 0.755 * [taylor]: Taking taylor expansion of y in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of y in x 0.755 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ y x))) y) in y 0.755 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ y x))) in y 0.755 * [taylor]: Taking taylor expansion of 0.5 in y 0.755 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.755 * [taylor]: Taking taylor expansion of 0.5 in y 0.755 * [taylor]: Taking taylor expansion of (/ y x) in y 0.755 * [taylor]: Taking taylor expansion of y in y 0.755 * [taylor]: Taking taylor expansion of x in y 0.756 * [taylor]: Taking taylor expansion of y in y 0.756 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ y x))) y) in y 0.756 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ y x))) in y 0.756 * [taylor]: Taking taylor expansion of 0.5 in y 0.756 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.756 * [taylor]: Taking taylor expansion of 0.5 in y 0.756 * [taylor]: Taking taylor expansion of (/ y x) in y 0.756 * [taylor]: Taking taylor expansion of y in y 0.756 * [taylor]: Taking taylor expansion of x in y 0.756 * [taylor]: Taking taylor expansion of y in y 0.757 * [taylor]: Taking taylor expansion of 0.5 in x 0.758 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 x))) in x 0.758 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.758 * [taylor]: Taking taylor expansion of 0.5 in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of 0 in x 0.766 * [taylor]: Taking taylor expansion of 0 in x 0.770 * [taylor]: Taking taylor expansion of 0 in x 0.771 * [approximate]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in (y x) around 0 0.771 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in x 0.771 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in x 0.771 * [taylor]: Taking taylor expansion of 0.5 in x 0.771 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.771 * [taylor]: Taking taylor expansion of 0.5 in x 0.771 * [taylor]: Taking taylor expansion of (/ x y) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.771 * [taylor]: Taking taylor expansion of y in x 0.771 * [taylor]: Taking taylor expansion of y in x 0.771 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in y 0.771 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in y 0.771 * [taylor]: Taking taylor expansion of 0.5 in y 0.771 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.771 * [taylor]: Taking taylor expansion of 0.5 in y 0.771 * [taylor]: Taking taylor expansion of (/ x y) in y 0.771 * [taylor]: Taking taylor expansion of x in y 0.771 * [taylor]: Taking taylor expansion of y in y 0.771 * [taylor]: Taking taylor expansion of y in y 0.771 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in y 0.771 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in y 0.771 * [taylor]: Taking taylor expansion of 0.5 in y 0.771 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.771 * [taylor]: Taking taylor expansion of 0.5 in y 0.771 * [taylor]: Taking taylor expansion of (/ x y) in y 0.771 * [taylor]: Taking taylor expansion of x in y 0.771 * [taylor]: Taking taylor expansion of y in y 0.771 * [taylor]: Taking taylor expansion of y in y 0.772 * [taylor]: Taking taylor expansion of 0 in x 0.773 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.773 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.773 * [taylor]: Taking taylor expansion of 0.5 in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of 0.5 in x 0.780 * [taylor]: Taking taylor expansion of 0 in x 0.784 * [taylor]: Taking taylor expansion of 0 in x 0.785 * [approximate]: Taking taylor expansion of (* -1 (* (- 0.5 (* 0.5 (/ x y))) y)) in (y x) around 0 0.785 * [taylor]: Taking taylor expansion of (* -1 (* (- 0.5 (* 0.5 (/ x y))) y)) in x 0.785 * [taylor]: Taking taylor expansion of -1 in x 0.785 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in x 0.785 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in x 0.785 * [taylor]: Taking taylor expansion of 0.5 in x 0.785 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.785 * [taylor]: Taking taylor expansion of 0.5 in x 0.785 * [taylor]: Taking taylor expansion of (/ x y) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.785 * [taylor]: Taking taylor expansion of y in x 0.785 * [taylor]: Taking taylor expansion of y in x 0.785 * [taylor]: Taking taylor expansion of (* -1 (* (- 0.5 (* 0.5 (/ x y))) y)) in y 0.785 * [taylor]: Taking taylor expansion of -1 in y 0.785 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in y 0.785 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in y 0.785 * [taylor]: Taking taylor expansion of 0.5 in y 0.785 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.785 * [taylor]: Taking taylor expansion of 0.5 in y 0.785 * [taylor]: Taking taylor expansion of (/ x y) in y 0.785 * [taylor]: Taking taylor expansion of x in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.785 * [taylor]: Taking taylor expansion of (* -1 (* (- 0.5 (* 0.5 (/ x y))) y)) in y 0.785 * [taylor]: Taking taylor expansion of -1 in y 0.785 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in y 0.785 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in y 0.785 * [taylor]: Taking taylor expansion of 0.5 in y 0.785 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.785 * [taylor]: Taking taylor expansion of 0.5 in y 0.785 * [taylor]: Taking taylor expansion of (/ x y) in y 0.785 * [taylor]: Taking taylor expansion of x in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.786 * [taylor]: Taking taylor expansion of 0 in x 0.788 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.788 * [taylor]: Taking taylor expansion of 0.5 in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.791 * [taylor]: Taking taylor expansion of 0.5 in x 0.796 * [taylor]: Taking taylor expansion of 0 in x 0.801 * [taylor]: Taking taylor expansion of 0 in x 0.801 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.801 * [approximate]: Taking taylor expansion of (* 0.5 (/ y x)) in (y x) around 0 0.801 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.801 * [taylor]: Taking taylor expansion of 0.5 in x 0.801 * [taylor]: Taking taylor expansion of (/ y x) in x 0.801 * [taylor]: Taking taylor expansion of y in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.801 * [taylor]: Taking taylor expansion of 0.5 in y 0.801 * [taylor]: Taking taylor expansion of (/ y x) in y 0.801 * [taylor]: Taking taylor expansion of y in y 0.801 * [taylor]: Taking taylor expansion of x in y 0.801 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.801 * [taylor]: Taking taylor expansion of 0.5 in y 0.801 * [taylor]: Taking taylor expansion of (/ y x) in y 0.801 * [taylor]: Taking taylor expansion of y in y 0.801 * [taylor]: Taking taylor expansion of x in y 0.802 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.802 * [taylor]: Taking taylor expansion of 0.5 in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of 0 in x 0.803 * [taylor]: Taking taylor expansion of 0 in x 0.805 * [taylor]: Taking taylor expansion of 0 in x 0.805 * [approximate]: Taking taylor expansion of (* 0.5 (/ x y)) in (y x) around 0 0.805 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.805 * [taylor]: Taking taylor expansion of 0.5 in x 0.805 * [taylor]: Taking taylor expansion of (/ x y) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of y in x 0.805 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.806 * [taylor]: Taking taylor expansion of 0.5 in y 0.806 * [taylor]: Taking taylor expansion of (/ x y) in y 0.806 * [taylor]: Taking taylor expansion of x in y 0.806 * [taylor]: Taking taylor expansion of y in y 0.806 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.806 * [taylor]: Taking taylor expansion of 0.5 in y 0.806 * [taylor]: Taking taylor expansion of (/ x y) in y 0.806 * [taylor]: Taking taylor expansion of x in y 0.806 * [taylor]: Taking taylor expansion of y in y 0.806 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.806 * [taylor]: Taking taylor expansion of 0.5 in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.807 * [taylor]: Taking taylor expansion of 0 in x 0.809 * [taylor]: Taking taylor expansion of 0 in x 0.812 * [taylor]: Taking taylor expansion of 0 in x 0.812 * [approximate]: Taking taylor expansion of (* 0.5 (/ x y)) in (y x) around 0 0.812 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.812 * [taylor]: Taking taylor expansion of 0.5 in x 0.812 * [taylor]: Taking taylor expansion of (/ x y) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.812 * [taylor]: Taking taylor expansion of y in x 0.812 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.812 * [taylor]: Taking taylor expansion of 0.5 in y 0.812 * [taylor]: Taking taylor expansion of (/ x y) in y 0.812 * [taylor]: Taking taylor expansion of x in y 0.812 * [taylor]: Taking taylor expansion of y in y 0.812 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.812 * [taylor]: Taking taylor expansion of 0.5 in y 0.812 * [taylor]: Taking taylor expansion of (/ x y) in y 0.812 * [taylor]: Taking taylor expansion of x in y 0.812 * [taylor]: Taking taylor expansion of y in y 0.812 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.812 * [taylor]: Taking taylor expansion of 0.5 in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of 0 in x 0.816 * [taylor]: Taking taylor expansion of 0 in x 0.818 * [taylor]: Taking taylor expansion of 0 in x 0.818 * * * [progress]: simplifying candidates 0.819 * [simplify]: Simplifying using # : (expm1 (/ (- 0.5 (* 0.5 (/ y x))) y)) (log1p (/ (- 0.5 (* 0.5 (/ y x))) y)) (- (log (- 0.5 (* 0.5 (/ y x)))) (log y)) (log (/ (- 0.5 (* 0.5 (/ y x))) y)) (exp (/ (- 0.5 (* 0.5 (/ y x))) y)) (/ (* (* (- 0.5 (* 0.5 (/ y x))) (- 0.5 (* 0.5 (/ y x)))) (- 0.5 (* 0.5 (/ y x)))) (* (* y y) y)) (* (cbrt (/ (- 0.5 (* 0.5 (/ y x))) y)) (cbrt (/ (- 0.5 (* 0.5 (/ y x))) y))) (cbrt (/ (- 0.5 (* 0.5 (/ y x))) y)) (* (* (/ (- 0.5 (* 0.5 (/ y x))) y) (/ (- 0.5 (* 0.5 (/ y x))) y)) (/ (- 0.5 (* 0.5 (/ y x))) y)) (sqrt (/ (- 0.5 (* 0.5 (/ y x))) y)) (sqrt (/ (- 0.5 (* 0.5 (/ y x))) y)) (- (- 0.5 (* 0.5 (/ y x)))) (- y) (/ 0.5 y) (/ (* 0.5 (/ y x)) y) (/ (* (cbrt (- 0.5 (* 0.5 (/ y x)))) (cbrt (- 0.5 (* 0.5 (/ y x))))) (* (cbrt y) (cbrt y))) (/ (cbrt (- 0.5 (* 0.5 (/ y x)))) (cbrt y)) (/ (* (cbrt (- 0.5 (* 0.5 (/ y x)))) (cbrt (- 0.5 (* 0.5 (/ y x))))) (sqrt y)) (/ (cbrt (- 0.5 (* 0.5 (/ y x)))) (sqrt y)) (/ (* (cbrt (- 0.5 (* 0.5 (/ y x)))) (cbrt (- 0.5 (* 0.5 (/ y x))))) 1) (/ (cbrt (- 0.5 (* 0.5 (/ y x)))) y) (/ (sqrt (- 0.5 (* 0.5 (/ y x)))) (* (cbrt y) (cbrt y))) (/ (sqrt (- 0.5 (* 0.5 (/ y x)))) (cbrt y)) (/ (sqrt (- 0.5 (* 0.5 (/ y x)))) (sqrt y)) (/ (sqrt (- 0.5 (* 0.5 (/ y x)))) (sqrt y)) (/ (sqrt (- 0.5 (* 0.5 (/ y x)))) 1) (/ (sqrt (- 0.5 (* 0.5 (/ y x)))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- 0.5 (* 0.5 (/ y x))) (cbrt y)) (/ 1 (sqrt y)) (/ (- 0.5 (* 0.5 (/ y x))) (sqrt y)) (/ 1 1) (/ (- 0.5 (* 0.5 (/ y x))) y) (/ 1 y) (/ y (- 0.5 (* 0.5 (/ y x)))) (/ (- 0.5 (* 0.5 (/ y x))) (* (cbrt y) (cbrt y))) (/ (- 0.5 (* 0.5 (/ y x))) (sqrt y)) (/ (- 0.5 (* 0.5 (/ y x))) 1) (/ y (cbrt (- 0.5 (* 0.5 (/ y x))))) (/ y (sqrt (- 0.5 (* 0.5 (/ y x))))) (/ y (- 0.5 (* 0.5 (/ y x)))) (* y (+ (* 0.5 0.5) (+ (* (* 0.5 (/ y x)) (* 0.5 (/ y x))) (* 0.5 (* 0.5 (/ y x)))))) (* y (+ 0.5 (* 0.5 (/ y x)))) (expm1 (* 0.5 (/ y x))) (log1p (* 0.5 (/ y x))) (* 0.5 (/ y x)) (+ (log 0.5) (- (log y) (log x))) (+ (log 0.5) (log (/ y x))) (log (* 0.5 (/ y x))) (exp (* 0.5 (/ y x))) (* (* (* 0.5 0.5) 0.5) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 0.5 0.5) 0.5) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 0.5 (/ y x))) (cbrt (* 0.5 (/ y x)))) (cbrt (* 0.5 (/ y x))) (* (* (* 0.5 (/ y x)) (* 0.5 (/ y x))) (* 0.5 (/ y x))) (sqrt (* 0.5 (/ y x))) (sqrt (* 0.5 (/ y x))) (* (sqrt 0.5) (sqrt (/ y x))) (* (sqrt 0.5) (sqrt (/ y x))) (* (sqrt 0.5) (/ (sqrt y) (sqrt x))) (* (sqrt 0.5) (/ (sqrt y) (sqrt x))) (* 0.5 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 0.5 (sqrt (/ y x))) (* 0.5 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 0.5 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 0.5 (/ (* (cbrt y) (cbrt y)) 1)) (* 0.5 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 0.5 (/ (sqrt y) (sqrt x))) (* 0.5 (/ (sqrt y) 1)) (* 0.5 (/ 1 (* (cbrt x) (cbrt x)))) (* 0.5 (/ 1 (sqrt x))) (* 0.5 (/ 1 1)) (* 0.5 1) (* 0.5 y) (* (cbrt 0.5) (/ y x)) (* (sqrt 0.5) (/ y x)) (* 0.5 (/ y x)) (* 0.5 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))) (* 0.5 (/ y x)) (* 0.5 (/ y x)) (* 0.5 (/ y x)) 0.824 * * [simplify]: iteration 0 : 295 enodes (cost 391 ) 0.830 * * [simplify]: iteration 1 : 1308 enodes (cost 358 ) 0.853 * * [simplify]: iteration 2 : 5002 enodes (cost 354 ) 0.855 * [simplify]: Simplified to: (expm1 (/ (- 0.5 (* 0.5 (/ y x))) y)) (log1p (/ (- 0.5 (* 0.5 (/ y x))) y)) (log (/ (- 0.5 (* 0.5 (/ y x))) y)) (log (/ (- 0.5 (* 0.5 (/ y x))) y)) (exp (/ (- 0.5 (* 0.5 (/ y x))) y)) (pow (/ (- 0.5 (* 0.5 (/ y x))) y) 3) (* (cbrt (/ (- 0.5 (* 0.5 (/ y x))) y)) (cbrt (/ (- 0.5 (* 0.5 (/ y x))) y))) (cbrt (/ (- 0.5 (* 0.5 (/ y x))) y)) (pow (/ (- 0.5 (* 0.5 (/ y x))) y) 3) (sqrt (/ (- 0.5 (* 0.5 (/ y x))) y)) (sqrt (/ (- 0.5 (* 0.5 (/ y x))) y)) (- (- 0.5 (* 0.5 (/ y x)))) (- y) (/ 0.5 y) (/ 0.5 x) (/ (* (cbrt (- 0.5 (* 0.5 (/ y x)))) (cbrt (- 0.5 (* 0.5 (/ y x))))) (* (cbrt y) (cbrt y))) (/ (cbrt (- 0.5 (* 0.5 (/ y x)))) (cbrt y)) (/ (* (cbrt (- 0.5 (* 0.5 (/ y x)))) (cbrt (- 0.5 (* 0.5 (/ y x))))) (sqrt y)) (/ (cbrt (- 0.5 (* 0.5 (/ y x)))) (sqrt y)) (* (cbrt (- 0.5 (* 0.5 (/ y x)))) (cbrt (- 0.5 (* 0.5 (/ y x))))) (/ (cbrt (- 0.5 (* 0.5 (/ y x)))) y) (/ (sqrt (- 0.5 (* 0.5 (/ y x)))) (* (cbrt y) (cbrt y))) (/ (sqrt (- 0.5 (* 0.5 (/ y x)))) (cbrt y)) (/ (sqrt (- 0.5 (* 0.5 (/ y x)))) (sqrt y)) (/ (sqrt (- 0.5 (* 0.5 (/ y x)))) (sqrt y)) (sqrt (- 0.5 (* 0.5 (/ y x)))) (/ (sqrt (- 0.5 (* 0.5 (/ y x)))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- 0.5 (* 0.5 (/ y x))) (cbrt y)) (/ 1 (sqrt y)) (/ (- 0.5 (* 0.5 (/ y x))) (sqrt y)) 1 (* 0.5 (- (/ 1 y) (/ 1 x))) (/ 1 y) (/ y (- 0.5 (* 0.5 (/ y x)))) (/ (- 0.5 (* 0.5 (/ y x))) (* (cbrt y) (cbrt y))) (/ (- 0.5 (* 0.5 (/ y x))) (sqrt y)) (- 0.5 (* 0.5 (/ y x))) (/ y (cbrt (- 0.5 (* 0.5 (/ y x))))) (/ y (sqrt (- 0.5 (* 0.5 (/ y x))))) (/ y (- 0.5 (* 0.5 (/ y x)))) (fma 0.5 (* 0.5 y) (* (* y (* 0.5 (/ y x))) (fma 0.5 (/ y x) 0.5))) (* y (fma 0.5 (/ y x) 0.5)) (expm1 (* 0.5 (/ y x))) (log1p (* 0.5 (/ y x))) (* 0.5 (/ y x)) (log (* 0.5 (/ y x))) (log (* 0.5 (/ y x))) (log (* 0.5 (/ y x))) (exp (* 0.5 (/ y x))) (pow (* 0.5 (/ y x)) 3) (pow (* 0.5 (/ y x)) 3) (* (cbrt (* 0.5 (/ y x))) (cbrt (* 0.5 (/ y x)))) (cbrt (* 0.5 (/ y x))) (pow (* 0.5 (/ y x)) 3) (sqrt (* 0.5 (/ y x))) (sqrt (* 0.5 (/ y x))) (* (sqrt 0.5) (sqrt (/ y x))) (* (sqrt 0.5) (sqrt (/ y x))) (* (sqrt 0.5) (/ (sqrt y) (sqrt x))) (* (sqrt 0.5) (/ (sqrt y) (sqrt x))) (* 0.5 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 0.5 (sqrt (/ y x))) (* 0.5 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 0.5 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) 0.5) (* 0.5 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 0.5 (/ (sqrt y) (sqrt x))) (* (sqrt y) 0.5) (/ 0.5 (* (cbrt x) (cbrt x))) (/ 0.5 (sqrt x)) 0.5 0.5 (* 0.5 y) (* (cbrt 0.5) (/ y x)) (* (sqrt 0.5) (/ y x)) (* 0.5 (/ y x)) (* 0.5 y) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (/ y x)) (* 0.5 (/ y x)) (* 0.5 (/ y x)) 0.855 * * * [progress]: adding candidates to table 0.953 * [progress]: [Phase 3 of 3] Extracting. 0.953 * * [regime]: Finding splitpoints for: (# # #) 0.953 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.953 * * * * [regimes]: Trying to branch on y from (# # #) 0.965 * * * * [regimes]: Trying to branch on x from (# # #) 0.979 * * * [regime]: Found split indices: #