8.649 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (- x (* y y)) 0.015 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.016 * * [simplify]: iteration 1 : 10 enodes (cost 2 ) 0.017 * * [simplify]: iteration 2 : 12 enodes (cost 2 ) 0.018 * * [simplify]: iteration 3 : 12 enodes (cost 2 ) 0.018 * [simplify]: Simplified to: (- x (* y y)) 0.018 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.029 * * * [progress]: generating series expansions 0.029 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.029 * [approximate]: Taking taylor expansion of (- x (pow y 2)) in (x y) around 0 0.029 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in y 0.029 * [taylor]: Taking taylor expansion of x in y 0.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.029 * [taylor]: Taking taylor expansion of y in y 0.029 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.029 * [taylor]: Taking taylor expansion of y in x 0.029 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.029 * [taylor]: Taking taylor expansion of y in x 0.029 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.029 * [taylor]: Taking taylor expansion of y in y 0.030 * [taylor]: Taking taylor expansion of 1 in y 0.031 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [approximate]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.034 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in y 0.034 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.034 * [taylor]: Taking taylor expansion of x in y 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of 1 in y 0.037 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in y 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of -1 in y 0.051 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.062 * * * [progress]: simplifying candidates 0.063 * [simplify]: Simplifying using # : (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y y))) (fma (- y) y (* y y)) (fma (sqrt x) (sqrt x) (- (* y y))) (fma (- y) y (* y y)) (fma 1 x (- (* y y))) (fma (- y) y (* y y)) (expm1 (- x (* y y))) (log1p (- x (* y y))) (- (* y y)) (- (* y y)) (- (* y y)) (/ (exp x) (exp (* y y))) (log (- x (* y y))) (exp (- x (* y y))) (* (cbrt (- x (* y y))) (cbrt (- x (* y y)))) (cbrt (- x (* y y))) (* (* (- x (* y y)) (- x (* y y))) (- x (* y y))) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (- (pow x 3) (pow (* y y) 3)) (+ (* x x) (+ (* (* y y) (* y y)) (* x (* y y)))) (- (* y y)) (- (* x x) (* (* y y) (* y y))) (+ x (* y y)) (+ (sqrt x) y) (- (sqrt x) y) (- (* y y)) (- x (pow y 2)) (- x (pow y 2)) (- x (pow y 2)) 0.065 * * [simplify]: iteration 0 : 97 enodes (cost 100 ) 0.068 * * [simplify]: iteration 1 : 288 enodes (cost 88 ) 0.073 * * [simplify]: iteration 2 : 1008 enodes (cost 87 ) 0.096 * * [simplify]: iteration 3 : 4455 enodes (cost 72 ) 0.216 * * [simplify]: iteration 4 : 5001 enodes (cost 72 ) 0.217 * [simplify]: Simplified to: (- x (pow y 2)) 0 (- x (pow y 2)) 0 (- x (pow y 2)) 0 (expm1 (- x (* y y))) (log1p (- x (* y y))) (- (* y y)) (- (* y y)) (- (* y y)) (exp (- x (* y y))) (log (- x (* y y))) (exp (- x (* y y))) (* (cbrt (- x (* y y))) (cbrt (- x (* y y)))) (cbrt (- x (* y y))) (pow (- x (pow y 2)) 3) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (- (pow x 3) (pow (* y y) 3)) (fma x (fma y y x) (pow y 4)) (- (* y y)) (* (- x (pow y 2)) (fma y y x)) (fma y y x) (+ (sqrt x) y) (- (sqrt x) y) (- (* y y)) (- x (pow y 2)) (- x (pow y 2)) (- x (pow y 2)) 0.217 * * * [progress]: adding candidates to table 0.259 * * [progress]: iteration 2 / 4 0.259 * * * [progress]: picking best candidate 0.260 * * * * [pick]: Picked # 0.260 * * * [progress]: localizing error 0.268 * * * [progress]: generating rewritten candidates 0.268 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.268 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.269 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.269 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.277 * * * [progress]: generating series expansions 0.277 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.277 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.277 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.278 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.278 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.278 * [taylor]: Taking taylor expansion of 1/3 in x 0.278 * [taylor]: Taking taylor expansion of (log x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.278 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.278 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.278 * [taylor]: Taking taylor expansion of 1/3 in x 0.278 * [taylor]: Taking taylor expansion of (log x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.330 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.330 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.330 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.330 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.330 * [taylor]: Taking taylor expansion of 1/3 in x 0.330 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.331 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.331 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.331 * [taylor]: Taking taylor expansion of 1/3 in x 0.331 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.386 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.386 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.386 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.387 * [taylor]: Taking taylor expansion of -1 in x 0.387 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.387 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.387 * [taylor]: Taking taylor expansion of 1/3 in x 0.387 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.388 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.388 * [taylor]: Taking taylor expansion of -1 in x 0.389 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.389 * [taylor]: Taking taylor expansion of 1/3 in x 0.389 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.451 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.451 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.451 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.451 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.451 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.451 * [taylor]: Taking taylor expansion of 1/3 in x 0.451 * [taylor]: Taking taylor expansion of (log x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.451 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.451 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.451 * [taylor]: Taking taylor expansion of 1/3 in x 0.451 * [taylor]: Taking taylor expansion of (log x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.505 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.505 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.505 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.505 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.505 * [taylor]: Taking taylor expansion of 1/3 in x 0.505 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.506 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.506 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.506 * [taylor]: Taking taylor expansion of 1/3 in x 0.506 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.564 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.564 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.564 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.564 * [taylor]: Taking taylor expansion of -1 in x 0.565 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.565 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.565 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.565 * [taylor]: Taking taylor expansion of 1/3 in x 0.565 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.566 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.566 * [taylor]: Taking taylor expansion of -1 in x 0.567 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.567 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.567 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.567 * [taylor]: Taking taylor expansion of 1/3 in x 0.567 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.634 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.635 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.635 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.635 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.635 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.635 * [taylor]: Taking taylor expansion of 1/3 in x 0.635 * [taylor]: Taking taylor expansion of (log x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.635 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.635 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.635 * [taylor]: Taking taylor expansion of 1/3 in x 0.635 * [taylor]: Taking taylor expansion of (log x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.682 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.682 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.682 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.682 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.682 * [taylor]: Taking taylor expansion of 1/3 in x 0.682 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.683 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.683 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.683 * [taylor]: Taking taylor expansion of 1/3 in x 0.684 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.684 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.741 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.741 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.741 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.741 * [taylor]: Taking taylor expansion of -1 in x 0.742 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.742 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.742 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.742 * [taylor]: Taking taylor expansion of 1/3 in x 0.742 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.743 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.743 * [taylor]: Taking taylor expansion of -1 in x 0.744 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.744 * [taylor]: Taking taylor expansion of 1/3 in x 0.744 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.812 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.812 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 0.812 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.812 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.812 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.812 * [taylor]: Taking taylor expansion of 1/3 in x 0.812 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.812 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.813 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.813 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.813 * [taylor]: Taking taylor expansion of 1/3 in x 0.813 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.813 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.869 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 0.869 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.869 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.869 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.869 * [taylor]: Taking taylor expansion of 1/3 in x 0.869 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.869 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.869 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.871 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.871 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.871 * [taylor]: Taking taylor expansion of 1/3 in x 0.871 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.871 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.931 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 0.931 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 0.931 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.931 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.931 * [taylor]: Taking taylor expansion of -1 in x 0.932 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.932 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.932 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.932 * [taylor]: Taking taylor expansion of 1/3 in x 0.932 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.932 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 0.933 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.933 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.933 * [taylor]: Taking taylor expansion of -1 in x 0.934 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.934 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.934 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.934 * [taylor]: Taking taylor expansion of 1/3 in x 0.934 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.934 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.934 * [taylor]: Taking taylor expansion of x in x 1.011 * * * [progress]: simplifying candidates 1.012 * [simplify]: Simplifying using # : (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 1.015 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 1.018 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 1.032 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 1.096 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 1.097 * [simplify]: Simplified to: (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) 2/3 2 (pow x 2) (pow x 2/3) 2 (* 2/3 (log x)) (* 2/3 (log x)) (exp (pow x 2/3)) (pow x 2) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (pow x 2) (fabs (pow x 1/3)) (fabs (pow x 1/3)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (pow x 1/3) (pow x 1/3) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (pow x 1/3) (pow x 1/3) 2/3 2 (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (pow x 1/3) (pow (cbrt (cbrt x)) 5) (pow (sqrt (cbrt x)) 3) (pow x 1/3) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 1.098 * * * [progress]: adding candidates to table 1.302 * [progress]: [Phase 3 of 3] Extracting. 1.302 * * [regime]: Finding splitpoints for: (# #) 1.302 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (- x (* y y)) y x) 1.303 * * * * [regimes]: Trying to branch on (* y y) from (# #) 1.313 * * * * [regimes]: Trying to branch on (- x (* y y)) from (# #) 1.323 * * * * [regimes]: Trying to branch on y from (# #) 1.334 * * * * [regimes]: Trying to branch on x from (# #) 1.347 * * * [regime]: Found split indices: #