23.472 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.018 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.018 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.020 * * [simplify]: iteration 2 : 24 enodes (cost 7 ) 0.023 * * [simplify]: iteration 3 : 40 enodes (cost 7 ) 0.029 * * [simplify]: iteration 4 : 59 enodes (cost 7 ) 0.038 * * [simplify]: iteration 5 : 75 enodes (cost 7 ) 0.052 * * [simplify]: iteration 6 : 82 enodes (cost 7 ) 0.064 * * [simplify]: iteration 7 : 84 enodes (cost 7 ) 0.076 * * [simplify]: iteration done : 84 enodes (cost 7 ) 0.076 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.076 * * [progress]: iteration 1 / 4 0.076 * * * [progress]: picking best candidate 0.077 * * * * [pick]: Picked # 0.077 * * * [progress]: localizing error 0.081 * * * [progress]: generating rewritten candidates 0.081 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.102 * * * [progress]: generating series expansions 0.102 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.102 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.102 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.102 * [taylor]: Taking taylor expansion of (+ x y) in y 0.102 * [taylor]: Taking taylor expansion of x in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.102 * [taylor]: Taking taylor expansion of (+ x y) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.102 * [taylor]: Taking taylor expansion of (+ x y) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.103 * [taylor]: Taking taylor expansion of 2 in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of 1 in y 0.105 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.105 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.105 * [taylor]: Taking taylor expansion of x in y 0.106 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of 1 in y 0.108 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.108 * [taylor]: Taking taylor expansion of 2 in y 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.111 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.111 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.111 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.112 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of 1 in y 0.114 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.114 * [taylor]: Taking taylor expansion of 2 in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.117 * * * [progress]: simplifying candidates 0.118 * [simplify]: Simplifying using # : (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.120 * * [simplify]: iteration 0 : 62 enodes (cost 516 ) 0.134 * * [simplify]: iteration 1 : 185 enodes (cost 453 ) 0.177 * * [simplify]: iteration 2 : 730 enodes (cost 407 ) 1.290 * * [simplify]: iteration 3 : 3850 enodes (cost 376 ) 2.721 * * [simplify]: iteration done : 5001 enodes (cost 376 ) 2.722 * [simplify]: Simplified to: 2 (pow (sqrt (+ x y)) 4) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (pow (sqrt (+ x y)) 4)) (pow (+ y x) 6) (* (cbrt (pow (sqrt (+ x y)) 4)) (cbrt (pow (sqrt (+ x y)) 4))) (cbrt (pow (sqrt (+ x y)) 4)) (pow (+ y x) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (* y (- y x))) (+ (* x x) (* y (- y x)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (* y (- y x))) (- x y)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (* y (- y x))) (- x y)) (* (pow (sqrt (+ x y)) 4) (* (- x y) (- x y))) (* (- x y) (- x y)) (pow (cbrt (+ x y)) 4) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ y x) (+ y x) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) (+ y x) (+ y x) 2 (* x (+ x y)) (* y (+ x y)) (* x (+ x y)) (* y (+ x y)) (* (cbrt (+ x y)) (pow (cbrt (+ x y)) 4)) (pow (sqrt (+ x y)) 3) (+ y x) (+ y x) (pow (cbrt (+ x y)) 4) (pow (sqrt (+ x y)) 3) (pow (sqrt (+ x y)) 4) (pow (sqrt (+ x y)) 4) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- x y) (pow (sqrt (+ x y)) 4)) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- x y) (pow (sqrt (+ x y)) 4)) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) 2.722 * * * [progress]: adding candidates to table 2.781 * * [progress]: iteration 2 / 4 2.781 * * * [progress]: picking best candidate 2.784 * * * * [pick]: Picked # 2.784 * * * [progress]: localizing error 2.791 * * * [progress]: generating rewritten candidates 2.791 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 2.801 * * * [progress]: generating series expansions 2.801 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 2.801 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 2.801 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 2.801 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 2.801 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.801 * [taylor]: Taking taylor expansion of 2 in x 2.801 * [taylor]: Taking taylor expansion of x in x 2.801 * [taylor]: Taking taylor expansion of y in x 2.801 * [taylor]: Taking taylor expansion of y in x 2.801 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 2.801 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 2.801 * [taylor]: Taking taylor expansion of (* 2 x) in y 2.801 * [taylor]: Taking taylor expansion of 2 in y 2.801 * [taylor]: Taking taylor expansion of x in y 2.801 * [taylor]: Taking taylor expansion of y in y 2.801 * [taylor]: Taking taylor expansion of y in y 2.801 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 2.801 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 2.801 * [taylor]: Taking taylor expansion of (* 2 x) in y 2.801 * [taylor]: Taking taylor expansion of 2 in y 2.801 * [taylor]: Taking taylor expansion of x in y 2.801 * [taylor]: Taking taylor expansion of y in y 2.801 * [taylor]: Taking taylor expansion of y in y 2.801 * [taylor]: Taking taylor expansion of 0 in x 2.802 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.802 * [taylor]: Taking taylor expansion of 2 in x 2.802 * [taylor]: Taking taylor expansion of x in x 2.804 * [taylor]: Taking taylor expansion of 1 in x 2.806 * [taylor]: Taking taylor expansion of 0 in x 2.808 * [taylor]: Taking taylor expansion of 0 in x 2.808 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 2.808 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 2.808 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 2.808 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.808 * [taylor]: Taking taylor expansion of y in x 2.808 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.808 * [taylor]: Taking taylor expansion of 2 in x 2.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.808 * [taylor]: Taking taylor expansion of x in x 2.809 * [taylor]: Taking taylor expansion of y in x 2.809 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 2.809 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 2.809 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.809 * [taylor]: Taking taylor expansion of y in y 2.809 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 2.809 * [taylor]: Taking taylor expansion of 2 in y 2.809 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.809 * [taylor]: Taking taylor expansion of x in y 2.810 * [taylor]: Taking taylor expansion of y in y 2.810 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 2.810 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 2.810 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.810 * [taylor]: Taking taylor expansion of y in y 2.810 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 2.810 * [taylor]: Taking taylor expansion of 2 in y 2.810 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.810 * [taylor]: Taking taylor expansion of x in y 2.810 * [taylor]: Taking taylor expansion of y in y 2.811 * [taylor]: Taking taylor expansion of 1 in x 2.812 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.812 * [taylor]: Taking taylor expansion of 2 in x 2.812 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.812 * [taylor]: Taking taylor expansion of x in x 2.814 * [taylor]: Taking taylor expansion of 0 in x 2.817 * [taylor]: Taking taylor expansion of 0 in x 2.821 * [taylor]: Taking taylor expansion of 0 in x 2.822 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 2.822 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 2.822 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 2.822 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.822 * [taylor]: Taking taylor expansion of y in x 2.822 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.822 * [taylor]: Taking taylor expansion of 2 in x 2.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.822 * [taylor]: Taking taylor expansion of x in x 2.822 * [taylor]: Taking taylor expansion of y in x 2.823 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 2.823 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 2.823 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.823 * [taylor]: Taking taylor expansion of y in y 2.823 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 2.823 * [taylor]: Taking taylor expansion of 2 in y 2.823 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.823 * [taylor]: Taking taylor expansion of x in y 2.823 * [taylor]: Taking taylor expansion of y in y 2.823 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 2.823 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 2.824 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.824 * [taylor]: Taking taylor expansion of y in y 2.824 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 2.824 * [taylor]: Taking taylor expansion of 2 in y 2.824 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.824 * [taylor]: Taking taylor expansion of x in y 2.824 * [taylor]: Taking taylor expansion of y in y 2.824 * [taylor]: Taking taylor expansion of 1 in x 2.825 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.825 * [taylor]: Taking taylor expansion of 2 in x 2.825 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.825 * [taylor]: Taking taylor expansion of x in x 2.828 * [taylor]: Taking taylor expansion of 0 in x 2.831 * [taylor]: Taking taylor expansion of 0 in x 2.835 * [taylor]: Taking taylor expansion of 0 in x 2.836 * * * [progress]: simplifying candidates 2.836 * [simplify]: Simplifying using # : (* y (+ y (* 2 x))) (+ (log y) (log (+ y (* 2 x)))) (log (* y (+ y (* 2 x)))) (exp (* y (+ y (* 2 x)))) (* (* (* y y) y) (* (* (+ y (* 2 x)) (+ y (* 2 x))) (+ y (* 2 x)))) (* (cbrt (* y (+ y (* 2 x)))) (cbrt (* y (+ y (* 2 x))))) (cbrt (* y (+ y (* 2 x)))) (* (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (* y (+ y (* 2 x)))) (sqrt (* y (+ y (* 2 x)))) (sqrt (* y (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* y y) (* y (* 2 x)) (* y y) (* (* 2 x) y) (* y (* (cbrt (+ y (* 2 x))) (cbrt (+ y (* 2 x))))) (* y (sqrt (+ y (* 2 x)))) (* y 1) (* (cbrt y) (+ y (* 2 x))) (* (sqrt y) (+ y (* 2 x))) (* y (+ y (* 2 x))) (* y (+ (pow y 3) (pow (* 2 x) 3))) (* y (- (* y y) (* (* 2 x) (* 2 x)))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 2.838 * * [simplify]: iteration 0 : 47 enodes (cost 253 ) 2.850 * * [simplify]: iteration 1 : 142 enodes (cost 240 ) 2.884 * * [simplify]: iteration 2 : 428 enodes (cost 214 ) 3.060 * * [simplify]: iteration 3 : 1506 enodes (cost 214 ) 4.014 * * [simplify]: iteration done : 5002 enodes (cost 214 ) 4.014 * [simplify]: Simplified to: (* (+ y (* 2 x)) y) (log (* y (+ y (* 2 x)))) (log (* y (+ y (* 2 x)))) (exp (* y (+ y (* 2 x)))) (pow (* y (+ y (* 2 x))) 3) (* (cbrt (* y (+ y (* 2 x)))) (cbrt (* y (+ y (* 2 x))))) (cbrt (* y (+ y (* 2 x)))) (pow (* y (+ y (* 2 x))) 3) (sqrt (* y (+ y (* 2 x)))) (sqrt (* y (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* y y) (* (* 2 x) y) (* y y) (* (* 2 x) y) (* y (* (cbrt (+ y (* 2 x))) (cbrt (+ y (* 2 x))))) (* y (sqrt (+ y (* 2 x)))) y (* (cbrt y) (+ y (* 2 x))) (* (sqrt y) (+ y (* 2 x))) (* (+ y (* 2 x)) y) (* y (+ (pow y 3) (pow (* 2 x) 3))) (* y (- (* y y) (* 4 (* x x)))) (* (+ y (* 2 x)) y) (* (+ y (* 2 x)) y) (* (+ y (* 2 x)) y) 4.015 * * * [progress]: adding candidates to table 4.059 * * [progress]: iteration 3 / 4 4.059 * * * [progress]: picking best candidate 4.060 * * * * [pick]: Picked # 4.060 * * * [progress]: localizing error 4.070 * * * [progress]: generating rewritten candidates 4.070 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 4.073 * * * [progress]: generating series expansions 4.073 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 4.074 * [approximate]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in (y x) around 0 4.074 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 4.074 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.074 * [taylor]: Taking taylor expansion of y in x 4.074 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.074 * [taylor]: Taking taylor expansion of 2 in x 4.074 * [taylor]: Taking taylor expansion of (* x y) in x 4.074 * [taylor]: Taking taylor expansion of x in x 4.074 * [taylor]: Taking taylor expansion of y in x 4.074 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 4.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.074 * [taylor]: Taking taylor expansion of y in y 4.074 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 4.074 * [taylor]: Taking taylor expansion of 2 in y 4.074 * [taylor]: Taking taylor expansion of (* x y) in y 4.074 * [taylor]: Taking taylor expansion of x in y 4.074 * [taylor]: Taking taylor expansion of y in y 4.074 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 4.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.074 * [taylor]: Taking taylor expansion of y in y 4.074 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 4.074 * [taylor]: Taking taylor expansion of 2 in y 4.074 * [taylor]: Taking taylor expansion of (* x y) in y 4.074 * [taylor]: Taking taylor expansion of x in y 4.074 * [taylor]: Taking taylor expansion of y in y 4.075 * [taylor]: Taking taylor expansion of 0 in x 4.075 * [taylor]: Taking taylor expansion of (* 2 x) in x 4.075 * [taylor]: Taking taylor expansion of 2 in x 4.075 * [taylor]: Taking taylor expansion of x in x 4.077 * [taylor]: Taking taylor expansion of 1 in x 4.079 * [taylor]: Taking taylor expansion of 0 in x 4.082 * [taylor]: Taking taylor expansion of 0 in x 4.082 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in (y x) around 0 4.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.082 * [taylor]: Taking taylor expansion of y in x 4.082 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.082 * [taylor]: Taking taylor expansion of 2 in x 4.082 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.082 * [taylor]: Taking taylor expansion of (* x y) in x 4.082 * [taylor]: Taking taylor expansion of x in x 4.082 * [taylor]: Taking taylor expansion of y in x 4.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 4.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.083 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.083 * [taylor]: Taking taylor expansion of y in y 4.083 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 4.083 * [taylor]: Taking taylor expansion of 2 in y 4.083 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.083 * [taylor]: Taking taylor expansion of (* x y) in y 4.083 * [taylor]: Taking taylor expansion of x in y 4.083 * [taylor]: Taking taylor expansion of y in y 4.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 4.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.083 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.083 * [taylor]: Taking taylor expansion of y in y 4.084 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 4.084 * [taylor]: Taking taylor expansion of 2 in y 4.084 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.084 * [taylor]: Taking taylor expansion of (* x y) in y 4.084 * [taylor]: Taking taylor expansion of x in y 4.084 * [taylor]: Taking taylor expansion of y in y 4.085 * [taylor]: Taking taylor expansion of 1 in x 4.085 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 4.085 * [taylor]: Taking taylor expansion of 2 in x 4.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.085 * [taylor]: Taking taylor expansion of x in x 4.088 * [taylor]: Taking taylor expansion of 0 in x 4.091 * [taylor]: Taking taylor expansion of 0 in x 4.094 * [taylor]: Taking taylor expansion of 0 in x 4.095 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in (y x) around 0 4.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.095 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.095 * [taylor]: Taking taylor expansion of y in x 4.095 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.095 * [taylor]: Taking taylor expansion of 2 in x 4.095 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.095 * [taylor]: Taking taylor expansion of (* x y) in x 4.095 * [taylor]: Taking taylor expansion of x in x 4.095 * [taylor]: Taking taylor expansion of y in x 4.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 4.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.095 * [taylor]: Taking taylor expansion of y in y 4.096 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 4.096 * [taylor]: Taking taylor expansion of 2 in y 4.096 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.096 * [taylor]: Taking taylor expansion of (* x y) in y 4.096 * [taylor]: Taking taylor expansion of x in y 4.096 * [taylor]: Taking taylor expansion of y in y 4.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 4.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.096 * [taylor]: Taking taylor expansion of y in y 4.097 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 4.097 * [taylor]: Taking taylor expansion of 2 in y 4.097 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.097 * [taylor]: Taking taylor expansion of (* x y) in y 4.097 * [taylor]: Taking taylor expansion of x in y 4.097 * [taylor]: Taking taylor expansion of y in y 4.097 * [taylor]: Taking taylor expansion of 1 in x 4.098 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 4.098 * [taylor]: Taking taylor expansion of 2 in x 4.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.098 * [taylor]: Taking taylor expansion of x in x 4.100 * [taylor]: Taking taylor expansion of 0 in x 4.103 * [taylor]: Taking taylor expansion of 0 in x 4.107 * [taylor]: Taking taylor expansion of 0 in x 4.107 * * * [progress]: simplifying candidates 4.107 * [simplify]: Simplifying using # : (* (exp (* y y)) (exp (* (* 2 x) y))) (log (+ (* y y) (* (* 2 x) y))) (exp (+ (* y y) (* (* 2 x) y))) (* (cbrt (+ (* y y) (* (* 2 x) y))) (cbrt (+ (* y y) (* (* 2 x) y)))) (cbrt (+ (* y y) (* (* 2 x) y))) (* (* (+ (* y y) (* (* 2 x) y)) (+ (* y y) (* (* 2 x) y))) (+ (* y y) (* (* 2 x) y))) (sqrt (+ (* y y) (* (* 2 x) y))) (sqrt (+ (* y y) (* (* 2 x) y))) (+ (pow (* y y) 3) (pow (* (* 2 x) y) 3)) (+ (* (* y y) (* y y)) (- (* (* (* 2 x) y) (* (* 2 x) y)) (* (* y y) (* (* 2 x) y)))) (- (* (* y y) (* y y)) (* (* (* 2 x) y) (* (* 2 x) y))) (- (* y y) (* (* 2 x) y)) (+ y (* 2 x)) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 4.109 * * [simplify]: iteration 0 : 33 enodes (cost 213 ) 4.115 * * [simplify]: iteration 1 : 106 enodes (cost 172 ) 4.168 * * [simplify]: iteration 2 : 463 enodes (cost 148 ) 4.411 * * [simplify]: iteration 3 : 1837 enodes (cost 148 ) 5.528 * * [simplify]: iteration done : 5001 enodes (cost 148 ) 5.528 * [simplify]: Simplified to: (exp (* y (+ y (* 2 x)))) (log (* y (+ y (* 2 x)))) (exp (* y (+ y (* 2 x)))) (* (cbrt (* y (+ y (* 2 x)))) (cbrt (* y (+ y (* 2 x))))) (cbrt (* y (+ y (* 2 x)))) (pow (* y (+ y (* 2 x))) 3) (sqrt (* y (+ y (* 2 x)))) (sqrt (* y (+ y (* 2 x)))) (+ (pow y 6) (pow (* (* 2 x) y) 3)) (+ (pow y 4) (* (* 2 (* x y)) (* y (- (* 2 x) y)))) (- (pow y 4) (* (* (* x y) (* x y)) 4)) (* y (- y (* 2 x))) (+ y (* 2 x)) (* y (+ y (* 2 x))) (* y (+ y (* 2 x))) (* y (+ y (* 2 x))) 5.528 * * * [progress]: adding candidates to table 5.552 * [progress]: [Phase 3 of 3] Extracting. 5.552 * * [regime]: Finding splitpoints for: (# #) 5.553 * * * [regime-changes]: Trying 2 branch expressions: (y x) 5.553 * * * * [regimes]: Trying to branch on y from (# #) 5.565 * * * * [regimes]: Trying to branch on x from (# #) 5.575 * * * [regime]: Found split indices: #