8.072 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (- x (* (/ 3.0 8.0) y)) 0.015 * * [simplify]: iteration 0 : 7 enodes (cost 7 ) 0.016 * * [simplify]: iteration 1 : 12 enodes (cost 7 ) 0.017 * * [simplify]: iteration 2 : 24 enodes (cost 7 ) 0.023 * * [simplify]: iteration 3 : 39 enodes (cost 7 ) 0.027 * * [simplify]: iteration 4 : 46 enodes (cost 7 ) 0.032 * * [simplify]: iteration 5 : 52 enodes (cost 7 ) 0.037 * * [simplify]: iteration 6 : 57 enodes (cost 7 ) 0.043 * * [simplify]: iteration 7 : 59 enodes (cost 7 ) 0.049 * * [simplify]: iteration done : 59 enodes (cost 7 ) 0.049 * [simplify]: Simplified to: (- x (* (/ 3.0 8.0) y)) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.055 * * * [progress]: generating rewritten candidates 0.055 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.058 * * * [progress]: generating series expansions 0.058 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.058 * [approximate]: Taking taylor expansion of (- x (* 0.375 y)) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (- x (* 0.375 y)) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of (* 0.375 y) in y 0.059 * [taylor]: Taking taylor expansion of 0.375 in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (- x (* 0.375 y)) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (* 0.375 y) in x 0.059 * [taylor]: Taking taylor expansion of 0.375 in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (- x (* 0.375 y)) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (* 0.375 y) in x 0.059 * [taylor]: Taking taylor expansion of 0.375 in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (- (* 0.375 y)) in y 0.059 * [taylor]: Taking taylor expansion of (* 0.375 y) in y 0.059 * [taylor]: Taking taylor expansion of 0.375 in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of 1 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 0.375 (/ 1 y))) in (x y) around 0 0.066 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 0.375 (/ 1 y))) in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 y)) in y 0.066 * [taylor]: Taking taylor expansion of 0.375 in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 0.375 (/ 1 y))) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 y)) in x 0.066 * [taylor]: Taking taylor expansion of 0.375 in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 0.375 (/ 1 y))) in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 y)) in x 0.067 * [taylor]: Taking taylor expansion of 0.375 in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of 1 in y 0.068 * [taylor]: Taking taylor expansion of (- (* 0.375 (/ 1 y))) in y 0.068 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 y)) in y 0.068 * [taylor]: Taking taylor expansion of 0.375 in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.068 * [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 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [approximate]: Taking taylor expansion of (- (* 0.375 (/ 1 y)) (/ 1 x)) in (x y) around 0 0.077 * [taylor]: Taking taylor expansion of (- (* 0.375 (/ 1 y)) (/ 1 x)) in y 0.077 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 y)) in y 0.077 * [taylor]: Taking taylor expansion of 0.375 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 (/ 1 x) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of (- (* 0.375 (/ 1 y)) (/ 1 x)) in x 0.077 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 y)) in x 0.077 * [taylor]: Taking taylor expansion of 0.375 in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (- (* 0.375 (/ 1 y)) (/ 1 x)) in x 0.078 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 y)) in x 0.078 * [taylor]: Taking taylor expansion of 0.375 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 (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of -1 in y 0.079 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 y)) in y 0.079 * [taylor]: Taking taylor expansion of 0.375 in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * * * [progress]: simplifying candidates 0.090 * [simplify]: Simplifying using # : (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y (/ 3.0 8.0)))) (fma (- y) (/ 3.0 8.0) (* y (/ 3.0 8.0))) (fma (sqrt x) (sqrt x) (- (* y (/ 3.0 8.0)))) (fma (- y) (/ 3.0 8.0) (* y (/ 3.0 8.0))) (fma 1 x (- (* y (/ 3.0 8.0)))) (fma (- y) (/ 3.0 8.0) (* y (/ 3.0 8.0))) (expm1 (- x (* (/ 3.0 8.0) y))) (log1p (- x (* (/ 3.0 8.0) y))) (- (* (/ 3.0 8.0) y)) (- (* (/ 3.0 8.0) y)) (- (* (/ 3.0 8.0) y)) (/ (exp x) (exp (* (/ 3.0 8.0) y))) (log (- x (* (/ 3.0 8.0) y))) (exp (- x (* (/ 3.0 8.0) y))) (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (- x (* (/ 3.0 8.0) y))) (* (* (- x (* (/ 3.0 8.0) y)) (- x (* (/ 3.0 8.0) y))) (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))) (- (pow x 3) (pow (* (/ 3.0 8.0) y) 3)) (+ (* x x) (+ (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)) (* x (* (/ 3.0 8.0) y)))) (- (* (/ 3.0 8.0) y)) (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (+ x (* (/ 3.0 8.0) y)) (- (* (/ 3.0 8.0) y)) (- x (* 0.375 y)) (- x (* 0.375 y)) (- x (* 0.375 y)) 0.091 * * [simplify]: iteration 0 : 45 enodes (cost 273 ) 0.098 * * [simplify]: iteration 1 : 108 enodes (cost 265 ) 0.115 * * [simplify]: iteration 2 : 331 enodes (cost 233 ) 0.197 * * [simplify]: iteration 3 : 1309 enodes (cost 229 ) 0.627 * * [simplify]: iteration 4 : 4967 enodes (cost 205 ) 2.714 * * [simplify]: iteration done : 5000 enodes (cost 205 ) 2.714 * [simplify]: Simplified to: (fma y (- (/ 3.0 8.0)) x) 0 (fma y (- (/ 3.0 8.0)) x) 0 (fma y (- (/ 3.0 8.0)) x) 0 (expm1 (- x (* (/ 3.0 8.0) y))) (log1p (- x (* (/ 3.0 8.0) y))) (- (* y (/ 3.0 8.0))) (- (* y (/ 3.0 8.0))) (- (* y (/ 3.0 8.0))) (exp (- x (* (/ 3.0 8.0) y))) (log (- x (* (/ 3.0 8.0) y))) (exp (- x (* (/ 3.0 8.0) y))) (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (- x (* (/ 3.0 8.0) y))) (pow (- x (* (/ 3.0 8.0) y)) 3) (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))) (- (pow x 3) (pow (* (/ 3.0 8.0) y) 3)) (fma x x (* (fma y (/ 3.0 8.0) x) (* y (/ 3.0 8.0)))) (- (* y (/ 3.0 8.0))) (* (fma y (/ 3.0 8.0) x) (- x (* (/ 3.0 8.0) y))) (fma y (/ 3.0 8.0) x) (- (* y (/ 3.0 8.0))) (- x (* 0.375 y)) (- x (* 0.375 y)) (- x (* 0.375 y)) 2.715 * * * [progress]: adding candidates to table 2.758 * * [progress]: iteration 2 / 4 2.758 * * * [progress]: picking best candidate 2.759 * * * * [pick]: Picked # 2.760 * * * [progress]: localizing error 2.766 * * * [progress]: generating rewritten candidates 2.766 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 2.766 * * * [progress]: generating series expansions 2.766 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 2.767 * [approximate]: Taking taylor expansion of (fma y (- 0.375) x) in (y x) around 0 2.768 * [taylor]: Taking taylor expansion of (fma y (- 0.375) x) in x 2.768 * [taylor]: Rewrote expression to (+ (* y (- 0.375)) x) 2.768 * [taylor]: Taking taylor expansion of (* y (- 0.375)) in x 2.768 * [taylor]: Taking taylor expansion of y in x 2.768 * [taylor]: Taking taylor expansion of (- 0.375) in x 2.768 * [taylor]: Taking taylor expansion of 0.375 in x 2.768 * [taylor]: Taking taylor expansion of x in x 2.768 * [taylor]: Taking taylor expansion of (fma y (- 0.375) x) in y 2.768 * [taylor]: Rewrote expression to (+ (* y (- 0.375)) x) 2.768 * [taylor]: Taking taylor expansion of (* y (- 0.375)) in y 2.768 * [taylor]: Taking taylor expansion of y in y 2.768 * [taylor]: Taking taylor expansion of (- 0.375) in y 2.768 * [taylor]: Taking taylor expansion of 0.375 in y 2.768 * [taylor]: Taking taylor expansion of x in y 2.768 * [taylor]: Taking taylor expansion of (fma y (- 0.375) x) in y 2.768 * [taylor]: Rewrote expression to (+ (* y (- 0.375)) x) 2.768 * [taylor]: Taking taylor expansion of (* y (- 0.375)) in y 2.768 * [taylor]: Taking taylor expansion of y in y 2.768 * [taylor]: Taking taylor expansion of (- 0.375) in y 2.768 * [taylor]: Taking taylor expansion of 0.375 in y 2.768 * [taylor]: Taking taylor expansion of x in y 2.769 * [taylor]: Taking taylor expansion of x in x 2.771 * [taylor]: Taking taylor expansion of (- 0.375) in x 2.771 * [taylor]: Taking taylor expansion of 0.375 in x 2.773 * [taylor]: Taking taylor expansion of 0 in x 2.775 * [taylor]: Taking taylor expansion of 0 in x 2.776 * [approximate]: Taking taylor expansion of (fma (/ 1 y) (- 0.375) (/ 1 x)) in (y x) around 0 2.776 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (- 0.375) (/ 1 x)) in x 2.776 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (- 0.375)) (/ 1 x)) 2.776 * [taylor]: Taking taylor expansion of (* (/ 1 y) (- 0.375)) in x 2.776 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.776 * [taylor]: Taking taylor expansion of y in x 2.776 * [taylor]: Taking taylor expansion of (- 0.375) in x 2.776 * [taylor]: Taking taylor expansion of 0.375 in x 2.776 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.776 * [taylor]: Taking taylor expansion of x in x 2.777 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (- 0.375) (/ 1 x)) in y 2.777 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (- 0.375)) (/ 1 x)) 2.777 * [taylor]: Taking taylor expansion of (* (/ 1 y) (- 0.375)) in y 2.777 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.777 * [taylor]: Taking taylor expansion of y in y 2.777 * [taylor]: Taking taylor expansion of (- 0.375) in y 2.777 * [taylor]: Taking taylor expansion of 0.375 in y 2.777 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.777 * [taylor]: Taking taylor expansion of x in y 2.777 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (- 0.375) (/ 1 x)) in y 2.777 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (- 0.375)) (/ 1 x)) 2.777 * [taylor]: Taking taylor expansion of (* (/ 1 y) (- 0.375)) in y 2.777 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.777 * [taylor]: Taking taylor expansion of y in y 2.778 * [taylor]: Taking taylor expansion of (- 0.375) in y 2.778 * [taylor]: Taking taylor expansion of 0.375 in y 2.778 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.778 * [taylor]: Taking taylor expansion of x in y 2.779 * [taylor]: Taking taylor expansion of (- 0.375) in x 2.779 * [taylor]: Taking taylor expansion of 0.375 in x 2.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.780 * [taylor]: Taking taylor expansion of x in x 2.783 * [taylor]: Taking taylor expansion of 0 in x 2.786 * [taylor]: Taking taylor expansion of 0 in x 2.791 * [taylor]: Taking taylor expansion of 0 in x 2.793 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (- 0.375) (/ -1 x)) in (y x) around 0 2.793 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (- 0.375) (/ -1 x)) in x 2.793 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (- 0.375)) (/ -1 x)) 2.793 * [taylor]: Taking taylor expansion of (* (/ -1 y) (- 0.375)) in x 2.793 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.793 * [taylor]: Taking taylor expansion of -1 in x 2.793 * [taylor]: Taking taylor expansion of y in x 2.793 * [taylor]: Taking taylor expansion of (- 0.375) in x 2.793 * [taylor]: Taking taylor expansion of 0.375 in x 2.793 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.793 * [taylor]: Taking taylor expansion of -1 in x 2.793 * [taylor]: Taking taylor expansion of x in x 2.793 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (- 0.375) (/ -1 x)) in y 2.793 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (- 0.375)) (/ -1 x)) 2.793 * [taylor]: Taking taylor expansion of (* (/ -1 y) (- 0.375)) in y 2.793 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.793 * [taylor]: Taking taylor expansion of -1 in y 2.793 * [taylor]: Taking taylor expansion of y in y 2.794 * [taylor]: Taking taylor expansion of (- 0.375) in y 2.794 * [taylor]: Taking taylor expansion of 0.375 in y 2.794 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.794 * [taylor]: Taking taylor expansion of -1 in y 2.794 * [taylor]: Taking taylor expansion of x in y 2.794 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (- 0.375) (/ -1 x)) in y 2.794 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (- 0.375)) (/ -1 x)) 2.794 * [taylor]: Taking taylor expansion of (* (/ -1 y) (- 0.375)) in y 2.794 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.794 * [taylor]: Taking taylor expansion of -1 in y 2.794 * [taylor]: Taking taylor expansion of y in y 2.794 * [taylor]: Taking taylor expansion of (- 0.375) in y 2.794 * [taylor]: Taking taylor expansion of 0.375 in y 2.794 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.794 * [taylor]: Taking taylor expansion of -1 in y 2.794 * [taylor]: Taking taylor expansion of x in y 2.795 * [taylor]: Taking taylor expansion of 0.375 in x 2.797 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.797 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.797 * [taylor]: Taking taylor expansion of x in x 2.799 * [taylor]: Taking taylor expansion of 0 in x 2.802 * [taylor]: Taking taylor expansion of 0 in x 2.806 * [taylor]: Taking taylor expansion of 0 in x 2.806 * * * [progress]: simplifying candidates 2.806 * [simplify]: Simplifying using # : (expm1 (fma y (- (/ 3.0 8.0)) x)) (log1p (fma y (- (/ 3.0 8.0)) x)) (* y (- (/ 3.0 8.0))) (log (fma y (- (/ 3.0 8.0)) x)) (exp (fma y (- (/ 3.0 8.0)) x)) (* (cbrt (fma y (- (/ 3.0 8.0)) x)) (cbrt (fma y (- (/ 3.0 8.0)) x))) (cbrt (fma y (- (/ 3.0 8.0)) x)) (* (* (fma y (- (/ 3.0 8.0)) x) (fma y (- (/ 3.0 8.0)) x)) (fma y (- (/ 3.0 8.0)) x)) (sqrt (fma y (- (/ 3.0 8.0)) x)) (sqrt (fma y (- (/ 3.0 8.0)) x)) (- x (* 0.375 y)) (- x (* 0.375 y)) (- x (* 0.375 y)) 2.807 * * [simplify]: iteration 0 : 20 enodes (cost 117 ) 2.809 * * [simplify]: iteration 1 : 30 enodes (cost 117 ) 2.813 * * [simplify]: iteration 2 : 64 enodes (cost 103 ) 2.822 * * [simplify]: iteration 3 : 172 enodes (cost 103 ) 2.860 * * [simplify]: iteration 4 : 651 enodes (cost 103 ) 3.079 * * [simplify]: iteration 5 : 3109 enodes (cost 103 ) 4.198 * * [simplify]: iteration done : 5000 enodes (cost 103 ) 4.198 * [simplify]: Simplified to: (expm1 (fma y (- (/ 3.0 8.0)) x)) (log1p (fma y (- (/ 3.0 8.0)) x)) (* y (- (/ 3.0 8.0))) (log (fma y (- (/ 3.0 8.0)) x)) (exp (fma y (- (/ 3.0 8.0)) x)) (* (cbrt (fma y (- (/ 3.0 8.0)) x)) (cbrt (fma y (- (/ 3.0 8.0)) x))) (cbrt (fma y (- (/ 3.0 8.0)) x)) (pow (fma y (- (/ 3.0 8.0)) x) 3) (sqrt (fma y (- (/ 3.0 8.0)) x)) (sqrt (fma y (- (/ 3.0 8.0)) x)) (- x (* 0.375 y)) (- x (* 0.375 y)) (- x (* 0.375 y)) 4.198 * * * [progress]: adding candidates to table 4.229 * [progress]: [Phase 3 of 3] Extracting. 4.230 * [simplify]: Simplifying using # : (+ (fma y (- (/ 3.0 8.0)) x) 0) 4.231 * * [simplify]: iteration 0 : 9 enodes (cost 9 ) 4.231 * * [simplify]: iteration 1 : 12 enodes (cost 7 ) 4.231 * * [simplify]: iteration 2 : 14 enodes (cost 7 ) 4.232 * * [simplify]: iteration done : 14 enodes (cost 7 ) 4.232 * [simplify]: Simplified to: (fma y (- (/ 3.0 8.0)) x) 4.616 * [regime-testing]: End program error score: 0