13.219 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (* 2.0 (- (* x x) (* x y))) 0.017 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.018 * * [simplify]: iteration 1 : 13 enodes (cost 7 ) 0.019 * * [simplify]: iteration 2 : 32 enodes (cost 7 ) 0.024 * * [simplify]: iteration 3 : 58 enodes (cost 7 ) 0.031 * * [simplify]: iteration 4 : 75 enodes (cost 7 ) 0.044 * * [simplify]: iteration 5 : 84 enodes (cost 7 ) 0.057 * * [simplify]: iteration done : 84 enodes (cost 7 ) 0.057 * [simplify]: Simplified to: (* (* x (- x y)) 2.0) 0.059 * * [progress]: iteration 1 / 4 0.059 * * * [progress]: picking best candidate 0.061 * * * * [pick]: Picked # 0.061 * * * [progress]: localizing error 0.066 * * * [progress]: generating rewritten candidates 0.067 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.070 * * * [progress]: generating series expansions 0.070 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.070 * [approximate]: Taking taylor expansion of (- (pow x 2) (* x y)) in (x y) around 0 0.070 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in y 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of (* x y) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (* x y) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (* x y) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [taylor]: Taking taylor expansion of (- y) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of 1 in y 0.074 * [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 (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.077 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.077 * [taylor]: Taking taylor expansion of (* x y) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.078 * [taylor]: Taking taylor expansion of (* x y) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.079 * [taylor]: Taking taylor expansion of (* x y) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of 1 in y 0.080 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.089 * [taylor]: Taking taylor expansion of (* x y) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.090 * [taylor]: Taking taylor expansion of (* x y) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.091 * [taylor]: Taking taylor expansion of (* x y) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of 1 in y 0.093 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.105 * * * [progress]: simplifying candidates 0.105 * [simplify]: Simplifying using # : (/ (exp (* x x)) (exp (* x y))) (log (- (* x x) (* x y))) (exp (- (* x x) (* x y))) (* (cbrt (- (* x x) (* x y))) (cbrt (- (* x x) (* x y)))) (cbrt (- (* x x) (* x y))) (* (* (- (* x x) (* x y)) (- (* x x) (* x y))) (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))) (- (pow (* x x) 3) (pow (* x y) 3)) (+ (* (* x x) (* x x)) (+ (* (* x y) (* x y)) (* (* x x) (* x y)))) (- (* x y)) (- (* (* x x) (* x x)) (* (* x y) (* x y))) (+ (* x x) (* x y)) (- x y) (- (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) 0.107 * * [simplify]: iteration 0 : 31 enodes (cost 177 ) 0.112 * * [simplify]: iteration 1 : 89 enodes (cost 136 ) 0.130 * * [simplify]: iteration 2 : 325 enodes (cost 120 ) 0.239 * * [simplify]: iteration 3 : 1172 enodes (cost 120 ) 0.755 * * [simplify]: iteration 4 : 4371 enodes (cost 120 ) 2.704 * * [simplify]: iteration done : 5000 enodes (cost 120 ) 2.704 * [simplify]: Simplified to: (exp (* x (- x y))) (log (* x (- x y))) (exp (* x (- x y))) (* (cbrt (* x (- x y))) (cbrt (* x (- x y)))) (cbrt (* x (- x y))) (pow (* x (- x y)) 3) (sqrt (* x (- x y))) (sqrt (* x (- x y))) (- (pow x 6) (pow (* x y) 3)) (+ (* (* x y) (* x (+ x y))) (pow x 4)) (- (* x y)) (* (* x (+ x y)) (* x (- x y))) (* (+ x y) x) (- x y) (- (* x y)) (* x (- x y)) (* x (- x y)) (* x (- x y)) 2.704 * * * [progress]: adding candidates to table 2.732 * * [progress]: iteration 2 / 4 2.732 * * * [progress]: picking best candidate 2.733 * * * * [pick]: Picked # 2.733 * * * [progress]: localizing error 2.738 * * * [progress]: generating rewritten candidates 2.738 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 2.748 * * * [progress]: generating series expansions 2.748 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 2.749 * [approximate]: Taking taylor expansion of (* x (- x y)) in (x y) around 0 2.749 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 2.749 * [taylor]: Taking taylor expansion of x in y 2.749 * [taylor]: Taking taylor expansion of (- x y) in y 2.749 * [taylor]: Taking taylor expansion of x in y 2.749 * [taylor]: Taking taylor expansion of y in y 2.749 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 2.749 * [taylor]: Taking taylor expansion of x in x 2.749 * [taylor]: Taking taylor expansion of (- x y) in x 2.749 * [taylor]: Taking taylor expansion of x in x 2.749 * [taylor]: Taking taylor expansion of y in x 2.749 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 2.749 * [taylor]: Taking taylor expansion of x in x 2.749 * [taylor]: Taking taylor expansion of (- x y) in x 2.749 * [taylor]: Taking taylor expansion of x in x 2.749 * [taylor]: Taking taylor expansion of y in x 2.749 * [taylor]: Taking taylor expansion of 0 in y 2.750 * [taylor]: Taking taylor expansion of (- y) in y 2.750 * [taylor]: Taking taylor expansion of y in y 2.751 * [taylor]: Taking taylor expansion of 1 in y 2.753 * [taylor]: Taking taylor expansion of 0 in y 2.754 * [taylor]: Taking taylor expansion of 0 in y 2.755 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 2.755 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 2.755 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.755 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.755 * [taylor]: Taking taylor expansion of x in y 2.755 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.755 * [taylor]: Taking taylor expansion of y in y 2.755 * [taylor]: Taking taylor expansion of x in y 2.756 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 2.756 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.756 * [taylor]: Taking taylor expansion of x in x 2.756 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.756 * [taylor]: Taking taylor expansion of y in x 2.756 * [taylor]: Taking taylor expansion of x in x 2.757 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 2.757 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.757 * [taylor]: Taking taylor expansion of x in x 2.757 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.757 * [taylor]: Taking taylor expansion of y in x 2.757 * [taylor]: Taking taylor expansion of x in x 2.757 * [taylor]: Taking taylor expansion of 1 in y 2.758 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.758 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.758 * [taylor]: Taking taylor expansion of y in y 2.761 * [taylor]: Taking taylor expansion of 0 in y 2.764 * [taylor]: Taking taylor expansion of 0 in y 2.767 * [taylor]: Taking taylor expansion of 0 in y 2.768 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 2.768 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in y 2.768 * [taylor]: Taking taylor expansion of -1 in y 2.768 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 2.768 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.768 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.768 * [taylor]: Taking taylor expansion of y in y 2.768 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.768 * [taylor]: Taking taylor expansion of x in y 2.768 * [taylor]: Taking taylor expansion of x in y 2.768 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 2.768 * [taylor]: Taking taylor expansion of -1 in x 2.768 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 2.768 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.769 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.769 * [taylor]: Taking taylor expansion of y in x 2.769 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.769 * [taylor]: Taking taylor expansion of x in x 2.769 * [taylor]: Taking taylor expansion of x in x 2.770 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 2.770 * [taylor]: Taking taylor expansion of -1 in x 2.770 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 2.770 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.770 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.770 * [taylor]: Taking taylor expansion of y in x 2.770 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.770 * [taylor]: Taking taylor expansion of x in x 2.770 * [taylor]: Taking taylor expansion of x in x 2.771 * [taylor]: Taking taylor expansion of 1 in y 2.776 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.776 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.776 * [taylor]: Taking taylor expansion of y in y 2.779 * [taylor]: Taking taylor expansion of 0 in y 2.782 * [taylor]: Taking taylor expansion of 0 in y 2.786 * [taylor]: Taking taylor expansion of 0 in y 2.787 * * * [progress]: simplifying candidates 2.787 * [simplify]: Simplifying using # : (* x (- x y)) (+ (log x) (log (- x y))) (log (* x (- x y))) (exp (* x (- x y))) (* (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* x (- x y))) (cbrt (* x (- x y)))) (cbrt (* x (- x y))) (* (* (* x (- x y)) (* x (- x y))) (* x (- x y))) (sqrt (* x (- x y))) (sqrt (* x (- x y))) (* (sqrt x) (sqrt (- x y))) (* (sqrt x) (sqrt (- x y))) (* x x) (* x (- y)) (* x x) (* x (- y)) (* x x) (* (- y) x) (* x x) (* (- y) x) (* x (* (cbrt (- x y)) (cbrt (- x y)))) (* x (sqrt (- x y))) (* x 1) (* x (+ (sqrt x) (sqrt y))) (* x 1) (* (cbrt x) (- x y)) (* (sqrt x) (- x y)) (* x (- x y)) (* x (- (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) 2.789 * * [simplify]: iteration 0 : 49 enodes (cost 217 ) 2.797 * * [simplify]: iteration 1 : 114 enodes (cost 210 ) 2.821 * * [simplify]: iteration 2 : 432 enodes (cost 186 ) 2.972 * * [simplify]: iteration 3 : 1840 enodes (cost 186 ) 4.000 * * [simplify]: iteration done : 5000 enodes (cost 186 ) 4.000 * [simplify]: Simplified to: (* (- x y) x) (log (* x (- x y))) (log (* x (- x y))) (exp (* x (- x y))) (pow (* x (- x y)) 3) (* (cbrt (* x (- x y))) (cbrt (* x (- x y)))) (cbrt (* x (- x y))) (pow (* x (- x y)) 3) (sqrt (* x (- x y))) (sqrt (* x (- x y))) (* (sqrt x) (sqrt (- x y))) (* (sqrt x) (sqrt (- x y))) (* x x) (* x (- y)) (* x x) (* x (- y)) (* x x) (* x (- y)) (* x x) (* x (- y)) (* x (* (cbrt (- x y)) (cbrt (- x y)))) (* x (sqrt (- x y))) x (* x (+ (sqrt x) (sqrt y))) x (* (cbrt x) (- x y)) (* (sqrt x) (- x y)) (* (- x y) x) (* x (- (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* (- x y) x) (* (- x y) x) (* (- x y) x) 4.000 * * * [progress]: adding candidates to table 4.044 * [progress]: [Phase 3 of 3] Extracting. 4.044 * * [regime]: Finding splitpoints for: (# #) 4.044 * * * [regime-changes]: Trying 4 branch expressions: ((- (* x x) (* x y)) (* 2.0 (- (* x x) (* x y))) y x) 4.044 * * * * [regimes]: Trying to branch on (- (* x x) (* x y)) from (# #) 4.055 * * * * [regimes]: Trying to branch on (* 2.0 (- (* x x) (* x y))) from (# #) 4.066 * * * * [regimes]: Trying to branch on y from (# #) 4.076 * * * * [regimes]: Trying to branch on x from (# #) 4.089 * * * [regime]: Found split indices: #