13.092 * [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 # : (* (+ x y) (+ x y)) 0.017 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.017 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.019 * * [simplify]: iteration 2 : 26 enodes (cost 7 ) 0.023 * * [simplify]: iteration 3 : 50 enodes (cost 7 ) 0.030 * * [simplify]: iteration 4 : 91 enodes (cost 7 ) 0.044 * * [simplify]: iteration 5 : 117 enodes (cost 7 ) 0.058 * * [simplify]: iteration 6 : 135 enodes (cost 7 ) 0.074 * * [simplify]: iteration 7 : 148 enodes (cost 7 ) 0.091 * * [simplify]: iteration 8 : 150 enodes (cost 7 ) 0.108 * * [simplify]: iteration done : 150 enodes (cost 7 ) 0.108 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.108 * * [progress]: iteration 1 / 4 0.108 * * * [progress]: picking best candidate 0.109 * * * * [pick]: Picked # 0.109 * * * [progress]: localizing error 0.112 * * * [progress]: generating rewritten candidates 0.112 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.130 * * * [progress]: generating series expansions 0.130 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.130 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.130 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.130 * [taylor]: Taking taylor expansion of (+ x y) in y 0.130 * [taylor]: Taking taylor expansion of x in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.130 * [taylor]: Taking taylor expansion of (+ x y) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.130 * [taylor]: Taking taylor expansion of (+ x y) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.131 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.131 * [taylor]: Taking taylor expansion of 2 in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of 1 in y 0.133 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.133 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.133 * [taylor]: Taking taylor expansion of x in y 0.133 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of 1 in y 0.135 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.135 * [taylor]: Taking taylor expansion of 2 in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.138 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.138 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.139 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.139 * [taylor]: Taking taylor expansion of x in y 0.139 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of 1 in y 0.141 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.141 * [taylor]: Taking taylor expansion of 2 in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.144 * * * [progress]: simplifying candidates 0.144 * [simplify]: Simplifying using # : (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) (+ 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)))) 0.149 * * [simplify]: iteration 0 : 64 enodes (cost 532 ) 0.161 * * [simplify]: iteration 1 : 193 enodes (cost 465 ) 0.212 * * [simplify]: iteration 2 : 899 enodes (cost 416 ) 0.561 * * [simplify]: iteration done : 5000 enodes (cost 400 ) 0.562 * [simplify]: Simplified to: (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) 2 (* (+ x y) (+ x y)) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (pow (+ y x) (* 2 3)) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (+ y x) (* 2 3)) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (fma x x (* y (- y x))) (fma x x (* y (- y x)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (fma x x (* y (- y x))) (- x y)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (fma x x (* y (- y x))) (- x y)) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (cbrt (+ x y)) (+ x y)) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ y x) (+ y x) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) (+ y x) (+ y x) 2 (* x (+ x y)) (* (+ x y) y) (* x (+ x y)) (* (+ x y) y) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (pow (sqrt (+ x y)) 3) (+ y x) (+ y x) (* (cbrt (+ x y)) (+ x y)) (pow (sqrt (+ x y)) 3) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (+ x y) (- (* x x) (* y y))) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) 0.562 * * * [progress]: adding candidates to table 0.610 * * [progress]: iteration 2 / 4 0.610 * * * [progress]: picking best candidate 0.615 * * * * [pick]: Picked # 0.615 * * * [progress]: localizing error 0.620 * * * [progress]: generating rewritten candidates 0.620 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.629 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.635 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.648 * * * [progress]: generating series expansions 0.648 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.648 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (x y) around 0 0.648 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of (+ x y) in y 0.648 * [taylor]: Taking taylor expansion of x in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of (+ x y) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of (+ x y) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of 0 in y 0.650 * [taylor]: Taking taylor expansion of 0 in y 0.652 * [taylor]: Taking taylor expansion of 0 in y 0.652 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 0.652 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.652 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.652 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.652 * [taylor]: Taking taylor expansion of x in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.653 * [taylor]: Taking taylor expansion of y in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of y in x 0.653 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.653 * [taylor]: Taking taylor expansion of y in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.655 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.655 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [taylor]: Taking taylor expansion of 0 in y 0.661 * [taylor]: Taking taylor expansion of 0 in y 0.662 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 0.662 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.662 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.662 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.662 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.662 * [taylor]: Taking taylor expansion of x in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.663 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.663 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.663 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.663 * [taylor]: Taking taylor expansion of y in x 0.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.663 * [taylor]: Taking taylor expansion of x in x 0.663 * [taylor]: Taking taylor expansion of y in x 0.664 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.664 * [taylor]: Taking taylor expansion of y in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of y in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.664 * [taylor]: Taking taylor expansion of y in y 0.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.665 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.665 * [taylor]: Taking taylor expansion of y in y 0.667 * [taylor]: Taking taylor expansion of 0 in y 0.669 * [taylor]: Taking taylor expansion of 0 in y 0.671 * [taylor]: Taking taylor expansion of 0 in y 0.672 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.673 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.673 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.673 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.673 * [taylor]: Taking taylor expansion of x in y 0.673 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.673 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.673 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.673 * [taylor]: Taking taylor expansion of 2 in y 0.673 * [taylor]: Taking taylor expansion of (* x y) in y 0.673 * [taylor]: Taking taylor expansion of x in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.673 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.673 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.673 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.673 * [taylor]: Taking taylor expansion of y in x 0.673 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.673 * [taylor]: Taking taylor expansion of 2 in x 0.673 * [taylor]: Taking taylor expansion of (* x y) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of y in x 0.673 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.673 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.673 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.673 * [taylor]: Taking taylor expansion of y in x 0.673 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.673 * [taylor]: Taking taylor expansion of 2 in x 0.673 * [taylor]: Taking taylor expansion of (* x y) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of y in x 0.674 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.674 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.675 * [taylor]: Taking taylor expansion of 2 in y 0.675 * [taylor]: Taking taylor expansion of y in y 0.677 * [taylor]: Taking taylor expansion of 1 in y 0.678 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.678 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.678 * [taylor]: Taking taylor expansion of x in y 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.678 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.678 * [taylor]: Taking taylor expansion of y in y 0.679 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.679 * [taylor]: Taking taylor expansion of 2 in y 0.679 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.679 * [taylor]: Taking taylor expansion of (* x y) in y 0.679 * [taylor]: Taking taylor expansion of x in y 0.679 * [taylor]: Taking taylor expansion of y in y 0.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.679 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.679 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.679 * [taylor]: Taking taylor expansion of y in x 0.680 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.680 * [taylor]: Taking taylor expansion of 2 in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.680 * [taylor]: Taking taylor expansion of (* x y) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of y in x 0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.680 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.681 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.681 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.681 * [taylor]: Taking taylor expansion of 2 in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.681 * [taylor]: Taking taylor expansion of (* x y) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.681 * [taylor]: Taking taylor expansion of 1 in y 0.682 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.682 * [taylor]: Taking taylor expansion of 2 in y 0.682 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.682 * [taylor]: Taking taylor expansion of y in y 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.684 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.684 * [taylor]: Taking taylor expansion of y in y 0.686 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.686 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.686 * [taylor]: Taking taylor expansion of x in y 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.686 * [taylor]: Taking taylor expansion of y in y 0.686 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.686 * [taylor]: Taking taylor expansion of 2 in y 0.687 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.687 * [taylor]: Taking taylor expansion of (* x y) in y 0.687 * [taylor]: Taking taylor expansion of x in y 0.687 * [taylor]: Taking taylor expansion of y in y 0.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.687 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.687 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.688 * [taylor]: Taking taylor expansion of 2 in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.688 * [taylor]: Taking taylor expansion of (* x y) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.689 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.689 * [taylor]: Taking taylor expansion of y in x 0.689 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.689 * [taylor]: Taking taylor expansion of 2 in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.689 * [taylor]: Taking taylor expansion of (* x y) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of y in x 0.689 * [taylor]: Taking taylor expansion of 1 in y 0.690 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.690 * [taylor]: Taking taylor expansion of 2 in y 0.690 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.690 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.692 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.692 * [taylor]: Taking taylor expansion of y in y 0.694 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.694 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.694 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.694 * [taylor]: Taking taylor expansion of x in y 0.694 * [taylor]: Taking taylor expansion of (+ x y) in y 0.694 * [taylor]: Taking taylor expansion of x in y 0.694 * [taylor]: Taking taylor expansion of y in y 0.694 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (+ x y) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of y in x 0.694 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (+ x y) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of y in x 0.694 * [taylor]: Taking taylor expansion of 0 in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.695 * [taylor]: Taking taylor expansion of 1 in y 0.696 * [taylor]: Taking taylor expansion of 0 in y 0.698 * [taylor]: Taking taylor expansion of 0 in y 0.698 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.698 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.698 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.698 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.698 * [taylor]: Taking taylor expansion of y in y 0.698 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.698 * [taylor]: Taking taylor expansion of x in y 0.698 * [taylor]: Taking taylor expansion of x in y 0.699 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.699 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.699 * [taylor]: Taking taylor expansion of y in x 0.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.700 * [taylor]: Taking taylor expansion of y in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of 1 in y 0.701 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.703 * [taylor]: Taking taylor expansion of 0 in y 0.705 * [taylor]: Taking taylor expansion of 0 in y 0.708 * [taylor]: Taking taylor expansion of 0 in y 0.708 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.708 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.708 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.708 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.708 * [taylor]: Taking taylor expansion of y in y 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.709 * [taylor]: Taking taylor expansion of x in y 0.709 * [taylor]: Taking taylor expansion of x in y 0.709 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.709 * [taylor]: Taking taylor expansion of y in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.710 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.710 * [taylor]: Taking taylor expansion of y in x 0.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of 1 in y 0.712 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.712 * [taylor]: Taking taylor expansion of y in y 0.713 * [taylor]: Taking taylor expansion of 0 in y 0.716 * [taylor]: Taking taylor expansion of 0 in y 0.718 * [taylor]: Taking taylor expansion of 0 in y 0.719 * * * [progress]: simplifying candidates 0.720 * [simplify]: Simplifying using # : (expm1 (* (+ x y) y)) (log1p (* (+ x y) y)) (* (+ x y) y) (+ (log (+ x y)) (log y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* y 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)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (+ x y) (sqrt y)) (* (+ x y) 1) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* (+ x y) y) (* (+ x y) y) (* (+ (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) (expm1 (+ (* x (+ x y)) (* (+ x y) y))) (log1p (+ (* x (+ x y)) (* (+ x y) y))) (* (exp (* x (+ x y))) (exp (* (+ x y) y))) (log (+ (* x (+ x y)) (* (+ x y) y))) (exp (+ (* x (+ x y)) (* (+ x y) y))) (* (cbrt (+ (* x (+ x y)) (* (+ x y) y))) (cbrt (+ (* x (+ x y)) (* (+ x y) y)))) (cbrt (+ (* x (+ x y)) (* (+ x y) y))) (* (* (+ (* x (+ x y)) (* (+ x y) y)) (+ (* x (+ x y)) (* (+ x y) y))) (+ (* x (+ x y)) (* (+ x y) y))) (sqrt (+ (* x (+ x y)) (* (+ x y) y))) (sqrt (+ (* x (+ x y)) (* (+ x y) y))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* (+ (pow x 3) (pow y 3)) y))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* (- (* x x) (* y y)) y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* x (- (* x x) (* y y))) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* (+ (pow x 3) (pow y 3)) y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (- (* x x) (* y y))) (- x y)) (* (- x y) (* (- (* x x) (* y y)) y))) (* (- x y) (- x y)) (+ (pow (* x (+ x y)) 3) (pow (* (+ x y) y) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (* (+ x y) y) (* (+ x y) y)) (* (* x (+ x y)) (* (+ x y) y)))) (- (* (* x (+ x y)) (* x (+ x y))) (* (* (+ x y) y) (* (+ x y) y))) (- (* x (+ x y)) (* (+ x y) y)) (+ (* x y) (* (+ x y) y)) (+ (* y x) (* (+ x y) y)) (expm1 (* x (+ x y))) (log1p (* x (+ x y))) (* 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) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) (* x 1) (* 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 y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* 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)))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) 0.723 * * [simplify]: iteration 0 : 116 enodes (cost 900 ) 0.745 * * [simplify]: iteration 1 : 352 enodes (cost 766 ) 0.833 * * [simplify]: iteration 2 : 1668 enodes (cost 690 ) 1.423 * * [simplify]: iteration done : 5000 enodes (cost 684 ) 1.424 * [simplify]: Simplified to: (expm1 (* (+ x y) y)) (log1p (* (+ x y) y)) (* (+ x y) y) (log (* (+ x y) y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (pow (* (+ x y) y) 3) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (pow (* (+ x y) y) 3) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (+ x y) (sqrt y)) (+ x y) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* (+ x y) y) (* (+ x y) y) (* (+ (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (* (+ x y) (+ x y)) 3) (fabs (+ x y)) (fabs (+ x y)) (* (fma x x (* y (- y x))) (+ (* (+ (pow x 3) (pow y 3)) y) (* x (+ (pow x 3) (pow y 3))))) (* (fma x x (* y (- y x))) (fma x x (* y (- y x)))) (fma (* x (+ (pow x 3) (pow y 3))) (- x y) (* (* (fma x x (* y (- y x))) (- (* x x) (* y y))) y)) (* (- x y) (fma x x (* y (- y x)))) (fma (* x (- (* x x) (* y y))) (fma x x (* y (- y x))) (* (- x y) (* (+ (pow x 3) (pow y 3)) y))) (* (- x y) (fma x x (* y (- y x)))) (* (- x y) (+ (* x (- (* x x) (* y y))) (* (- (* x x) (* y y)) y))) (* (- x y) (- x y)) (+ (pow (* x (+ x y)) 3) (pow (* (+ x y) y) 3)) (fma x (* x (* (+ x y) (+ x y))) (* (* (+ x y) y) (* (+ x y) (- y x)))) (* (- x y) (pow (+ x y) 3)) (* (+ x y) (- x y)) (* y (+ x (+ x y))) (* y (+ x (+ x y))) (expm1 (* x (+ x y))) (log1p (* x (+ x y))) (* x (+ x y)) (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) (* y x) (* x x) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) x x (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* (+ x y) y) (* (+ x y) y) (* (+ x y) y) (fma x x (* y (+ (* 2 x) y))) (fma x x (* y (+ (* 2 x) y))) (fma x x (* y (+ (* 2 x) y))) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) 1.424 * * * [progress]: adding candidates to table 1.547 * * [progress]: iteration 3 / 4 1.547 * * * [progress]: picking best candidate 1.549 * * * * [pick]: Picked # 1.549 * * * [progress]: localizing error 1.555 * * * [progress]: generating rewritten candidates 1.555 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3) 1.566 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.567 * * * [progress]: generating series expansions 1.567 * * * * [progress]: [ 1 / 2 ] generating series at (2 3) 1.567 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 1.567 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 1.567 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 1.567 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.567 * [taylor]: Taking taylor expansion of 2 in x 1.567 * [taylor]: Taking taylor expansion of x in x 1.567 * [taylor]: Taking taylor expansion of y in x 1.567 * [taylor]: Taking taylor expansion of y in x 1.567 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 1.567 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 1.567 * [taylor]: Taking taylor expansion of (* 2 x) in y 1.567 * [taylor]: Taking taylor expansion of 2 in y 1.567 * [taylor]: Taking taylor expansion of x in y 1.567 * [taylor]: Taking taylor expansion of y in y 1.567 * [taylor]: Taking taylor expansion of y in y 1.567 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 1.567 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 1.567 * [taylor]: Taking taylor expansion of (* 2 x) in y 1.567 * [taylor]: Taking taylor expansion of 2 in y 1.567 * [taylor]: Taking taylor expansion of x in y 1.567 * [taylor]: Taking taylor expansion of y in y 1.567 * [taylor]: Taking taylor expansion of y in y 1.567 * [taylor]: Taking taylor expansion of 0 in x 1.568 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.568 * [taylor]: Taking taylor expansion of 2 in x 1.568 * [taylor]: Taking taylor expansion of x in x 1.570 * [taylor]: Taking taylor expansion of 1 in x 1.572 * [taylor]: Taking taylor expansion of 0 in x 1.574 * [taylor]: Taking taylor expansion of 0 in x 1.574 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 1.574 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 1.574 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.574 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.574 * [taylor]: Taking taylor expansion of y in x 1.574 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.574 * [taylor]: Taking taylor expansion of 2 in x 1.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of y in x 1.575 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 1.575 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 1.575 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.575 * [taylor]: Taking taylor expansion of y in y 1.575 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.575 * [taylor]: Taking taylor expansion of 2 in y 1.575 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.575 * [taylor]: Taking taylor expansion of x in y 1.575 * [taylor]: Taking taylor expansion of y in y 1.576 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 1.576 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 1.576 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.576 * [taylor]: Taking taylor expansion of y in y 1.576 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.576 * [taylor]: Taking taylor expansion of 2 in y 1.576 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.576 * [taylor]: Taking taylor expansion of x in y 1.576 * [taylor]: Taking taylor expansion of y in y 1.577 * [taylor]: Taking taylor expansion of 1 in x 1.578 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.578 * [taylor]: Taking taylor expansion of 2 in x 1.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.578 * [taylor]: Taking taylor expansion of x in x 1.580 * [taylor]: Taking taylor expansion of 0 in x 1.583 * [taylor]: Taking taylor expansion of 0 in x 1.587 * [taylor]: Taking taylor expansion of 0 in x 1.588 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 1.588 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.588 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.588 * [taylor]: Taking taylor expansion of y in x 1.588 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.588 * [taylor]: Taking taylor expansion of 2 in x 1.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.588 * [taylor]: Taking taylor expansion of x in x 1.588 * [taylor]: Taking taylor expansion of y in x 1.589 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 1.589 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 1.589 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.589 * [taylor]: Taking taylor expansion of y in y 1.589 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.589 * [taylor]: Taking taylor expansion of 2 in y 1.589 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.589 * [taylor]: Taking taylor expansion of x in y 1.589 * [taylor]: Taking taylor expansion of y in y 1.589 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 1.589 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 1.589 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.589 * [taylor]: Taking taylor expansion of y in y 1.590 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.590 * [taylor]: Taking taylor expansion of 2 in y 1.590 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.590 * [taylor]: Taking taylor expansion of x in y 1.590 * [taylor]: Taking taylor expansion of y in y 1.590 * [taylor]: Taking taylor expansion of 1 in x 1.591 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.591 * [taylor]: Taking taylor expansion of 2 in x 1.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.591 * [taylor]: Taking taylor expansion of x in x 1.594 * [taylor]: Taking taylor expansion of 0 in x 1.597 * [taylor]: Taking taylor expansion of 0 in x 1.601 * [taylor]: Taking taylor expansion of 0 in x 1.601 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.601 * [approximate]: Taking taylor expansion of (fma x x (* (+ (* 2 x) y) y)) in (x y) around 0 1.601 * [taylor]: Taking taylor expansion of (fma x x (* (+ (* 2 x) y) y)) in y 1.601 * [taylor]: Rewrote expression to (+ (* x x) (* (+ (* 2 x) y) y)) 1.601 * [taylor]: Taking taylor expansion of (* x x) in y 1.601 * [taylor]: Taking taylor expansion of x in y 1.601 * [taylor]: Taking taylor expansion of x in y 1.601 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 1.601 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 1.601 * [taylor]: Taking taylor expansion of (* 2 x) in y 1.601 * [taylor]: Taking taylor expansion of 2 in y 1.601 * [taylor]: Taking taylor expansion of x in y 1.601 * [taylor]: Taking taylor expansion of y in y 1.601 * [taylor]: Taking taylor expansion of y in y 1.601 * [taylor]: Taking taylor expansion of (fma x x (* (+ (* 2 x) y) y)) in x 1.601 * [taylor]: Rewrote expression to (+ (* x x) (* (+ (* 2 x) y) y)) 1.602 * [taylor]: Taking taylor expansion of (* x x) in x 1.602 * [taylor]: Taking taylor expansion of x in x 1.602 * [taylor]: Taking taylor expansion of x in x 1.602 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 1.602 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 1.602 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.602 * [taylor]: Taking taylor expansion of 2 in x 1.602 * [taylor]: Taking taylor expansion of x in x 1.602 * [taylor]: Taking taylor expansion of y in x 1.602 * [taylor]: Taking taylor expansion of y in x 1.602 * [taylor]: Taking taylor expansion of (fma x x (* (+ (* 2 x) y) y)) in x 1.602 * [taylor]: Rewrote expression to (+ (* x x) (* (+ (* 2 x) y) y)) 1.602 * [taylor]: Taking taylor expansion of (* x x) in x 1.602 * [taylor]: Taking taylor expansion of x in x 1.602 * [taylor]: Taking taylor expansion of x in x 1.602 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 1.602 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 1.602 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.602 * [taylor]: Taking taylor expansion of 2 in x 1.602 * [taylor]: Taking taylor expansion of x in x 1.602 * [taylor]: Taking taylor expansion of y in x 1.602 * [taylor]: Taking taylor expansion of y in x 1.603 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.603 * [taylor]: Taking taylor expansion of y in y 1.604 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.604 * [taylor]: Taking taylor expansion of 2 in y 1.604 * [taylor]: Taking taylor expansion of y in y 1.606 * [taylor]: Taking taylor expansion of 1 in y 1.607 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ (+ (/ 1 y) (* 2 (/ 1 x))) y)) in (x y) around 0 1.607 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ (+ (/ 1 y) (* 2 (/ 1 x))) y)) in y 1.607 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ (+ (/ 1 y) (* 2 (/ 1 x))) y)) 1.607 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.607 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.607 * [taylor]: Taking taylor expansion of x in y 1.607 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.607 * [taylor]: Taking taylor expansion of x in y 1.607 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 1.607 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 1.607 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.607 * [taylor]: Taking taylor expansion of y in y 1.607 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.607 * [taylor]: Taking taylor expansion of 2 in y 1.607 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.607 * [taylor]: Taking taylor expansion of x in y 1.607 * [taylor]: Taking taylor expansion of y in y 1.608 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ (+ (/ 1 y) (* 2 (/ 1 x))) y)) in x 1.608 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ (+ (/ 1 y) (* 2 (/ 1 x))) y)) 1.608 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.608 * [taylor]: Taking taylor expansion of x in x 1.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.608 * [taylor]: Taking taylor expansion of x in x 1.612 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 1.612 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.612 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.612 * [taylor]: Taking taylor expansion of y in x 1.612 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.612 * [taylor]: Taking taylor expansion of 2 in x 1.612 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.612 * [taylor]: Taking taylor expansion of x in x 1.613 * [taylor]: Taking taylor expansion of y in x 1.613 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ (+ (/ 1 y) (* 2 (/ 1 x))) y)) in x 1.613 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ (+ (/ 1 y) (* 2 (/ 1 x))) y)) 1.613 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.613 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.613 * [taylor]: Taking taylor expansion of x in x 1.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.614 * [taylor]: Taking taylor expansion of x in x 1.614 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 1.614 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.614 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.614 * [taylor]: Taking taylor expansion of y in x 1.614 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.614 * [taylor]: Taking taylor expansion of 2 in x 1.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.614 * [taylor]: Taking taylor expansion of x in x 1.614 * [taylor]: Taking taylor expansion of y in x 1.615 * [taylor]: Taking taylor expansion of 1 in y 1.616 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.616 * [taylor]: Taking taylor expansion of 2 in y 1.616 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.616 * [taylor]: Taking taylor expansion of y in y 1.619 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.619 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.619 * [taylor]: Taking taylor expansion of y in y 1.620 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ (+ (/ 1 y) (* 2 (/ 1 x))) y)) in (x y) around 0 1.620 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ (+ (/ 1 y) (* 2 (/ 1 x))) y)) in y 1.620 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ (+ (/ 1 y) (* 2 (/ 1 x))) y)) 1.620 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.620 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.620 * [taylor]: Taking taylor expansion of -1 in y 1.620 * [taylor]: Taking taylor expansion of x in y 1.621 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.621 * [taylor]: Taking taylor expansion of -1 in y 1.621 * [taylor]: Taking taylor expansion of x in y 1.621 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 1.621 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 1.621 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.621 * [taylor]: Taking taylor expansion of y in y 1.621 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.621 * [taylor]: Taking taylor expansion of 2 in y 1.621 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.621 * [taylor]: Taking taylor expansion of x in y 1.621 * [taylor]: Taking taylor expansion of y in y 1.621 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ (+ (/ 1 y) (* 2 (/ 1 x))) y)) in x 1.622 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ (+ (/ 1 y) (* 2 (/ 1 x))) y)) 1.622 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.622 * [taylor]: Taking taylor expansion of -1 in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.622 * [taylor]: Taking taylor expansion of -1 in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 1.622 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.622 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.622 * [taylor]: Taking taylor expansion of y in x 1.622 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.622 * [taylor]: Taking taylor expansion of 2 in x 1.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.623 * [taylor]: Taking taylor expansion of y in x 1.623 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ (+ (/ 1 y) (* 2 (/ 1 x))) y)) in x 1.623 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ (+ (/ 1 y) (* 2 (/ 1 x))) y)) 1.623 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.623 * [taylor]: Taking taylor expansion of -1 in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.624 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.624 * [taylor]: Taking taylor expansion of -1 in x 1.624 * [taylor]: Taking taylor expansion of x in x 1.624 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 1.624 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.624 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.624 * [taylor]: Taking taylor expansion of y in x 1.624 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.624 * [taylor]: Taking taylor expansion of 2 in x 1.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.624 * [taylor]: Taking taylor expansion of x in x 1.624 * [taylor]: Taking taylor expansion of y in x 1.625 * [taylor]: Taking taylor expansion of 1 in y 1.627 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.627 * [taylor]: Taking taylor expansion of 2 in y 1.627 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.627 * [taylor]: Taking taylor expansion of y in y 1.629 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.629 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.629 * [taylor]: Taking taylor expansion of y in y 1.631 * * * [progress]: simplifying candidates 1.631 * [simplify]: Simplifying using # : (expm1 (* y (+ (* 2 x) y))) (log1p (* y (+ (* 2 x) y))) (* y (+ (* 2 x) y)) (+ (log y) (log (+ (* 2 x) y))) (log (* y (+ (* 2 x) y))) (exp (* y (+ (* 2 x) y))) (* (* (* y y) y) (* (* (+ (* 2 x) y) (+ (* 2 x) y)) (+ (* 2 x) y))) (* (cbrt (* y (+ (* 2 x) y))) (cbrt (* y (+ (* 2 x) y)))) (cbrt (* y (+ (* 2 x) y))) (* (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* y (* 2 x)) (* y y) (* (* 2 x) y) (* y y) (* y (* (cbrt (+ (* 2 x) y)) (cbrt (+ (* 2 x) y)))) (* y (sqrt (+ (* 2 x) y))) (* y 1) (* (cbrt y) (+ (* 2 x) y)) (* (sqrt y) (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* y (+ (pow (* 2 x) 3) (pow y 3))) (* y (- (* (* 2 x) (* 2 x)) (* y y))) (expm1 (fma x x (* y (+ (* 2 x) y)))) (log1p (fma x x (* y (+ (* 2 x) y)))) (* x x) (log (fma x x (* y (+ (* 2 x) y)))) (exp (fma x x (* y (+ (* 2 x) y)))) (* (cbrt (fma x x (* y (+ (* 2 x) y)))) (cbrt (fma x x (* y (+ (* 2 x) y))))) (cbrt (fma x x (* y (+ (* 2 x) y)))) (* (* (fma x x (* y (+ (* 2 x) y))) (fma x x (* y (+ (* 2 x) y)))) (fma x x (* y (+ (* 2 x) y)))) (sqrt (fma x x (* y (+ (* 2 x) y)))) (sqrt (fma x x (* y (+ (* 2 x) y)))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* 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)))) 1.633 * * [simplify]: iteration 0 : 62 enodes (cost 443 ) 1.644 * * [simplify]: iteration 1 : 170 enodes (cost 378 ) 1.688 * * [simplify]: iteration 2 : 733 enodes (cost 337 ) 1.978 * * [simplify]: iteration 3 : 3389 enodes (cost 337 ) 4.246 * * [simplify]: iteration done : 5001 enodes (cost 337 ) 4.246 * [simplify]: Simplified to: (expm1 (* (fma 2 x y) y)) (log1p (* (fma 2 x y) y)) (* y (fma 2 x y)) (log (* (fma 2 x y) y)) (log (* (fma 2 x y) y)) (exp (* (fma 2 x y) y)) (pow (* (fma 2 x y) y) 3) (* (cbrt (* (fma 2 x y) y)) (cbrt (* (fma 2 x y) y))) (cbrt (* (fma 2 x y) y)) (pow (* (fma 2 x y) y) 3) (sqrt (* (fma 2 x y) y)) (sqrt (* (fma 2 x y) y)) (* (sqrt (fma 2 x y)) (sqrt y)) (* (sqrt (fma 2 x y)) (sqrt y)) (* 2 (* x y)) (* y y) (* 2 (* x y)) (* y y) (* (* (cbrt (fma 2 x y)) (cbrt (fma 2 x y))) y) (* (sqrt (fma 2 x y)) y) y (* (cbrt y) (fma 2 x y)) (* (sqrt y) (fma 2 x y)) (* y (fma 2 x y)) (* (fma 8 (pow x 3) (pow y 3)) y) (* y (- (* 4 (* x x)) (* y y))) (expm1 (fma x x (* (fma 2 x y) y))) (log1p (fma x x (* (fma 2 x y) y))) (* x x) (log (fma x x (* (fma 2 x y) y))) (exp (fma x x (* (fma 2 x y) y))) (* (cbrt (fma x x (* (fma 2 x y) y))) (cbrt (fma x x (* (fma 2 x y) y)))) (cbrt (fma x x (* (fma 2 x y) y))) (pow (fma x x (* (fma 2 x y) y)) 3) (sqrt (fma x x (* (fma 2 x y) y))) (sqrt (fma x x (* (fma 2 x y) y))) (* y (fma 2 x y)) (* y (fma 2 x y)) (* y (fma 2 x y)) (fma x x (* (fma 2 x y) y)) (fma x x (* (fma 2 x y) y)) (fma x x (* (fma 2 x y) y)) 4.246 * * * [progress]: adding candidates to table 4.330 * * [progress]: iteration 4 / 4 4.330 * * * [progress]: picking best candidate 4.331 * * * * [pick]: Picked # 4.331 * * * [progress]: localizing error 4.338 * * * [progress]: generating rewritten candidates 4.338 * * * * [progress]: [ 1 / 3 ] rewriting at (2 3) 4.344 * * * * [progress]: [ 2 / 3 ] rewriting at (2 3 1) 4.349 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 4.350 * * * [progress]: generating series expansions 4.350 * * * * [progress]: [ 1 / 3 ] generating series at (2 3) 4.350 * [approximate]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in (x y) around 0 4.351 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 4.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.351 * [taylor]: Taking taylor expansion of y in y 4.351 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 4.351 * [taylor]: Taking taylor expansion of 2 in y 4.351 * [taylor]: Taking taylor expansion of (* x y) in y 4.351 * [taylor]: Taking taylor expansion of x in y 4.351 * [taylor]: Taking taylor expansion of y in y 4.351 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 4.351 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.351 * [taylor]: Taking taylor expansion of y in x 4.351 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.351 * [taylor]: Taking taylor expansion of 2 in x 4.351 * [taylor]: Taking taylor expansion of (* x y) in x 4.351 * [taylor]: Taking taylor expansion of x in x 4.351 * [taylor]: Taking taylor expansion of y in x 4.351 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 4.351 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.351 * [taylor]: Taking taylor expansion of y in x 4.351 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.351 * [taylor]: Taking taylor expansion of 2 in x 4.351 * [taylor]: Taking taylor expansion of (* x y) in x 4.351 * [taylor]: Taking taylor expansion of x in x 4.351 * [taylor]: Taking taylor expansion of y in x 4.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.351 * [taylor]: Taking taylor expansion of y in y 4.352 * [taylor]: Taking taylor expansion of (* 2 y) in y 4.352 * [taylor]: Taking taylor expansion of 2 in y 4.352 * [taylor]: Taking taylor expansion of y in y 4.354 * [taylor]: Taking taylor expansion of 0 in y 4.357 * [taylor]: Taking taylor expansion of 0 in y 4.363 * [taylor]: Taking taylor expansion of 0 in y 4.363 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in (x y) around 0 4.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 4.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.363 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.363 * [taylor]: Taking taylor expansion of y in y 4.364 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 4.364 * [taylor]: Taking taylor expansion of 2 in y 4.364 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.364 * [taylor]: Taking taylor expansion of (* x y) in y 4.364 * [taylor]: Taking taylor expansion of x in y 4.364 * [taylor]: Taking taylor expansion of y in y 4.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.364 * [taylor]: Taking taylor expansion of y in x 4.364 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.365 * [taylor]: Taking taylor expansion of 2 in x 4.365 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.365 * [taylor]: Taking taylor expansion of (* x y) in x 4.365 * [taylor]: Taking taylor expansion of x in x 4.365 * [taylor]: Taking taylor expansion of y in x 4.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.365 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.365 * [taylor]: Taking taylor expansion of y in x 4.365 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.365 * [taylor]: Taking taylor expansion of 2 in x 4.365 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.365 * [taylor]: Taking taylor expansion of (* x y) in x 4.365 * [taylor]: Taking taylor expansion of x in x 4.365 * [taylor]: Taking taylor expansion of y in x 4.366 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.366 * [taylor]: Taking taylor expansion of 2 in y 4.366 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.366 * [taylor]: Taking taylor expansion of y in y 4.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.367 * [taylor]: Taking taylor expansion of y in y 4.369 * [taylor]: Taking taylor expansion of 0 in y 4.373 * [taylor]: Taking taylor expansion of 0 in y 4.378 * [taylor]: Taking taylor expansion of 0 in y 4.380 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in (x y) around 0 4.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 4.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.380 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.380 * [taylor]: Taking taylor expansion of y in y 4.380 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 4.380 * [taylor]: Taking taylor expansion of 2 in y 4.380 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.380 * [taylor]: Taking taylor expansion of (* x y) in y 4.380 * [taylor]: Taking taylor expansion of x in y 4.380 * [taylor]: Taking taylor expansion of y in y 4.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.381 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.381 * [taylor]: Taking taylor expansion of y in x 4.381 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.381 * [taylor]: Taking taylor expansion of 2 in x 4.381 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.381 * [taylor]: Taking taylor expansion of (* x y) in x 4.381 * [taylor]: Taking taylor expansion of x in x 4.381 * [taylor]: Taking taylor expansion of y in x 4.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.381 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.381 * [taylor]: Taking taylor expansion of y in x 4.381 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.381 * [taylor]: Taking taylor expansion of 2 in x 4.382 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.382 * [taylor]: Taking taylor expansion of (* x y) in x 4.382 * [taylor]: Taking taylor expansion of x in x 4.382 * [taylor]: Taking taylor expansion of y in x 4.382 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.382 * [taylor]: Taking taylor expansion of 2 in y 4.382 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.382 * [taylor]: Taking taylor expansion of y in y 4.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.383 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.383 * [taylor]: Taking taylor expansion of y in y 4.386 * [taylor]: Taking taylor expansion of 0 in y 4.390 * [taylor]: Taking taylor expansion of 0 in y 4.395 * [taylor]: Taking taylor expansion of 0 in y 4.396 * * * * [progress]: [ 2 / 3 ] generating series at (2 3 1) 4.396 * [approximate]: Taking taylor expansion of (* 2 (* x y)) in (x y) around 0 4.396 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 4.396 * [taylor]: Taking taylor expansion of 2 in y 4.396 * [taylor]: Taking taylor expansion of (* x y) in y 4.396 * [taylor]: Taking taylor expansion of x in y 4.396 * [taylor]: Taking taylor expansion of y in y 4.396 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.396 * [taylor]: Taking taylor expansion of 2 in x 4.396 * [taylor]: Taking taylor expansion of (* x y) in x 4.396 * [taylor]: Taking taylor expansion of x in x 4.396 * [taylor]: Taking taylor expansion of y in x 4.396 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.396 * [taylor]: Taking taylor expansion of 2 in x 4.396 * [taylor]: Taking taylor expansion of (* x y) in x 4.396 * [taylor]: Taking taylor expansion of x in x 4.396 * [taylor]: Taking taylor expansion of y in x 4.396 * [taylor]: Taking taylor expansion of 0 in y 4.397 * [taylor]: Taking taylor expansion of (* 2 y) in y 4.397 * [taylor]: Taking taylor expansion of 2 in y 4.397 * [taylor]: Taking taylor expansion of y in y 4.398 * [taylor]: Taking taylor expansion of 0 in y 4.400 * [taylor]: Taking taylor expansion of 0 in y 4.402 * [taylor]: Taking taylor expansion of 0 in y 4.403 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 4.403 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 4.403 * [taylor]: Taking taylor expansion of 2 in y 4.403 * [taylor]: Taking taylor expansion of (* x y) in y 4.403 * [taylor]: Taking taylor expansion of x in y 4.403 * [taylor]: Taking taylor expansion of y in y 4.403 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 4.403 * [taylor]: Taking taylor expansion of 2 in x 4.403 * [taylor]: Taking taylor expansion of (* x y) in x 4.403 * [taylor]: Taking taylor expansion of x in x 4.403 * [taylor]: Taking taylor expansion of y in x 4.403 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 4.403 * [taylor]: Taking taylor expansion of 2 in x 4.403 * [taylor]: Taking taylor expansion of (* x y) in x 4.403 * [taylor]: Taking taylor expansion of x in x 4.403 * [taylor]: Taking taylor expansion of y in x 4.404 * [taylor]: Taking taylor expansion of (/ 2 y) in y 4.404 * [taylor]: Taking taylor expansion of 2 in y 4.404 * [taylor]: Taking taylor expansion of y in y 4.405 * [taylor]: Taking taylor expansion of 0 in y 4.406 * [taylor]: Taking taylor expansion of 0 in y 4.407 * [taylor]: Taking taylor expansion of 0 in y 4.408 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 4.408 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 4.408 * [taylor]: Taking taylor expansion of 2 in y 4.408 * [taylor]: Taking taylor expansion of (* x y) in y 4.408 * [taylor]: Taking taylor expansion of x in y 4.408 * [taylor]: Taking taylor expansion of y in y 4.409 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 4.409 * [taylor]: Taking taylor expansion of 2 in x 4.409 * [taylor]: Taking taylor expansion of (* x y) in x 4.409 * [taylor]: Taking taylor expansion of x in x 4.409 * [taylor]: Taking taylor expansion of y in x 4.409 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 4.409 * [taylor]: Taking taylor expansion of 2 in x 4.409 * [taylor]: Taking taylor expansion of (* x y) in x 4.409 * [taylor]: Taking taylor expansion of x in x 4.409 * [taylor]: Taking taylor expansion of y in x 4.409 * [taylor]: Taking taylor expansion of (/ 2 y) in y 4.409 * [taylor]: Taking taylor expansion of 2 in y 4.409 * [taylor]: Taking taylor expansion of y in y 4.410 * [taylor]: Taking taylor expansion of 0 in y 4.411 * [taylor]: Taking taylor expansion of 0 in y 4.413 * [taylor]: Taking taylor expansion of 0 in y 4.414 * * * * [progress]: [ 3 / 3 ] generating series at (2) 4.414 * [approximate]: Taking taylor expansion of (fma x x (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 4.414 * [taylor]: Taking taylor expansion of (fma x x (+ (pow y 2) (* 2 (* x y)))) in y 4.414 * [taylor]: Rewrote expression to (+ (* x x) (+ (pow y 2) (* 2 (* x y)))) 4.414 * [taylor]: Taking taylor expansion of (* x x) in y 4.414 * [taylor]: Taking taylor expansion of x in y 4.414 * [taylor]: Taking taylor expansion of x in y 4.414 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 4.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.414 * [taylor]: Taking taylor expansion of y in y 4.414 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 4.414 * [taylor]: Taking taylor expansion of 2 in y 4.414 * [taylor]: Taking taylor expansion of (* x y) in y 4.414 * [taylor]: Taking taylor expansion of x in y 4.414 * [taylor]: Taking taylor expansion of y in y 4.414 * [taylor]: Taking taylor expansion of (fma x x (+ (pow y 2) (* 2 (* x y)))) in x 4.414 * [taylor]: Rewrote expression to (+ (* x x) (+ (pow y 2) (* 2 (* x y)))) 4.414 * [taylor]: Taking taylor expansion of (* x x) in x 4.414 * [taylor]: Taking taylor expansion of x in x 4.414 * [taylor]: Taking taylor expansion of x in x 4.414 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 4.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.414 * [taylor]: Taking taylor expansion of y in x 4.414 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.414 * [taylor]: Taking taylor expansion of 2 in x 4.414 * [taylor]: Taking taylor expansion of (* x y) in x 4.414 * [taylor]: Taking taylor expansion of x in x 4.415 * [taylor]: Taking taylor expansion of y in x 4.415 * [taylor]: Taking taylor expansion of (fma x x (+ (pow y 2) (* 2 (* x y)))) in x 4.415 * [taylor]: Rewrote expression to (+ (* x x) (+ (pow y 2) (* 2 (* x y)))) 4.415 * [taylor]: Taking taylor expansion of (* x x) in x 4.415 * [taylor]: Taking taylor expansion of x in x 4.415 * [taylor]: Taking taylor expansion of x in x 4.415 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 4.415 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.415 * [taylor]: Taking taylor expansion of y in x 4.415 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.415 * [taylor]: Taking taylor expansion of 2 in x 4.415 * [taylor]: Taking taylor expansion of (* x y) in x 4.415 * [taylor]: Taking taylor expansion of x in x 4.415 * [taylor]: Taking taylor expansion of y in x 4.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.415 * [taylor]: Taking taylor expansion of y in y 4.416 * [taylor]: Taking taylor expansion of (* 2 y) in y 4.416 * [taylor]: Taking taylor expansion of 2 in y 4.416 * [taylor]: Taking taylor expansion of y in y 4.419 * [taylor]: Taking taylor expansion of 1 in y 4.420 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 4.420 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 4.420 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 4.420 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 4.420 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.420 * [taylor]: Taking taylor expansion of x in y 4.420 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.420 * [taylor]: Taking taylor expansion of x in y 4.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 4.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.420 * [taylor]: Taking taylor expansion of y in y 4.421 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 4.421 * [taylor]: Taking taylor expansion of 2 in y 4.421 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.421 * [taylor]: Taking taylor expansion of (* x y) in y 4.421 * [taylor]: Taking taylor expansion of x in y 4.421 * [taylor]: Taking taylor expansion of y in y 4.421 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 4.421 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 4.421 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.421 * [taylor]: Taking taylor expansion of x in x 4.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.421 * [taylor]: Taking taylor expansion of x in x 4.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.422 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.422 * [taylor]: Taking taylor expansion of y in x 4.422 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.422 * [taylor]: Taking taylor expansion of 2 in x 4.422 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.422 * [taylor]: Taking taylor expansion of (* x y) in x 4.422 * [taylor]: Taking taylor expansion of x in x 4.422 * [taylor]: Taking taylor expansion of y in x 4.422 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 4.422 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 4.422 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.422 * [taylor]: Taking taylor expansion of x in x 4.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.423 * [taylor]: Taking taylor expansion of x in x 4.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.423 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.423 * [taylor]: Taking taylor expansion of y in x 4.423 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.423 * [taylor]: Taking taylor expansion of 2 in x 4.423 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.423 * [taylor]: Taking taylor expansion of (* x y) in x 4.423 * [taylor]: Taking taylor expansion of x in x 4.423 * [taylor]: Taking taylor expansion of y in x 4.424 * [taylor]: Taking taylor expansion of 1 in y 4.425 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.425 * [taylor]: Taking taylor expansion of 2 in y 4.425 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.425 * [taylor]: Taking taylor expansion of y in y 4.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.428 * [taylor]: Taking taylor expansion of y in y 4.429 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 4.429 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 4.429 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 4.429 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 4.430 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.430 * [taylor]: Taking taylor expansion of -1 in y 4.430 * [taylor]: Taking taylor expansion of x in y 4.430 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.430 * [taylor]: Taking taylor expansion of -1 in y 4.430 * [taylor]: Taking taylor expansion of x in y 4.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 4.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.430 * [taylor]: Taking taylor expansion of y in y 4.430 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 4.430 * [taylor]: Taking taylor expansion of 2 in y 4.430 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.430 * [taylor]: Taking taylor expansion of (* x y) in y 4.430 * [taylor]: Taking taylor expansion of x in y 4.430 * [taylor]: Taking taylor expansion of y in y 4.431 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 4.431 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 4.431 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.431 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.431 * [taylor]: Taking taylor expansion of -1 in x 4.431 * [taylor]: Taking taylor expansion of x in x 4.431 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.431 * [taylor]: Taking taylor expansion of -1 in x 4.431 * [taylor]: Taking taylor expansion of x in x 4.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.431 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.431 * [taylor]: Taking taylor expansion of y in x 4.431 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.432 * [taylor]: Taking taylor expansion of 2 in x 4.432 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.432 * [taylor]: Taking taylor expansion of (* x y) in x 4.432 * [taylor]: Taking taylor expansion of x in x 4.432 * [taylor]: Taking taylor expansion of y in x 4.432 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 4.432 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 4.432 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.432 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.432 * [taylor]: Taking taylor expansion of -1 in x 4.432 * [taylor]: Taking taylor expansion of x in x 4.432 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.432 * [taylor]: Taking taylor expansion of -1 in x 4.432 * [taylor]: Taking taylor expansion of x in x 4.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.433 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.433 * [taylor]: Taking taylor expansion of y in x 4.433 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.433 * [taylor]: Taking taylor expansion of 2 in x 4.433 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.433 * [taylor]: Taking taylor expansion of (* x y) in x 4.433 * [taylor]: Taking taylor expansion of x in x 4.433 * [taylor]: Taking taylor expansion of y in x 4.434 * [taylor]: Taking taylor expansion of 1 in y 4.435 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.435 * [taylor]: Taking taylor expansion of 2 in y 4.435 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.435 * [taylor]: Taking taylor expansion of y in y 4.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.438 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.438 * [taylor]: Taking taylor expansion of y in y 4.439 * * * [progress]: simplifying candidates 4.440 * [simplify]: Simplifying using # : (expm1 (+ (* 2 (* x y)) (* y y))) (log1p (+ (* 2 (* x y)) (* y y))) (* (exp (* 2 (* x y))) (exp (* y y))) (log (+ (* 2 (* x y)) (* y y))) (exp (+ (* 2 (* x y)) (* y y))) (* (cbrt (+ (* 2 (* x y)) (* y y))) (cbrt (+ (* 2 (* x y)) (* y y)))) (cbrt (+ (* 2 (* x y)) (* y y))) (* (* (+ (* 2 (* x y)) (* y y)) (+ (* 2 (* x y)) (* y y))) (+ (* 2 (* x y)) (* y y))) (sqrt (+ (* 2 (* x y)) (* y y))) (sqrt (+ (* 2 (* x y)) (* y y))) (+ (pow (* 2 (* x y)) 3) (pow (* y y) 3)) (+ (* (* 2 (* x y)) (* 2 (* x y))) (- (* (* y y) (* y y)) (* (* 2 (* x y)) (* y y)))) (- (* (* 2 (* x y)) (* 2 (* x y))) (* (* y y) (* y y))) (- (* 2 (* x y)) (* y y)) (expm1 (* 2 (* x y))) (log1p (* 2 (* x y))) (* 2 (* x y)) (* 2 (* x y)) (+ (log 2) (+ (log x) (log y))) (+ (log 2) (log (* x y))) (log (* 2 (* x y))) (exp (* 2 (* x y))) (* (* (* 2 2) 2) (* (* (* x x) x) (* (* y y) y))) (* (* (* 2 2) 2) (* (* (* x y) (* x y)) (* x y))) (* (cbrt (* 2 (* x y))) (cbrt (* 2 (* x y)))) (cbrt (* 2 (* x y))) (* (* (* 2 (* x y)) (* 2 (* x y))) (* 2 (* x y))) (sqrt (* 2 (* x y))) (sqrt (* 2 (* x y))) (* 2 x) (* (cbrt 2) (* x y)) (* (sqrt 2) (* x y)) (* 2 (* x y)) (expm1 (fma x x (+ (* 2 (* x y)) (* y y)))) (log1p (fma x x (+ (* 2 (* x y)) (* y y)))) (* x x) (log (fma x x (+ (* 2 (* x y)) (* y y)))) (exp (fma x x (+ (* 2 (* x y)) (* y y)))) (* (cbrt (fma x x (+ (* 2 (* x y)) (* y y)))) (cbrt (fma x x (+ (* 2 (* x y)) (* y y))))) (cbrt (fma x x (+ (* 2 (* x y)) (* y y)))) (* (* (fma x x (+ (* 2 (* x y)) (* y y))) (fma x x (+ (* 2 (* x y)) (* y y)))) (fma x x (+ (* 2 (* x y)) (* y y)))) (sqrt (fma x x (+ (* 2 (* x y)) (* y y)))) (sqrt (fma x x (+ (* 2 (* x y)) (* y y)))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (* 2 (* x y)) (* 2 (* x y)) (* 2 (* 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)))) 4.445 * * [simplify]: iteration 0 : 73 enodes (cost 592 ) 4.459 * * [simplify]: iteration 1 : 194 enodes (cost 528 ) 4.505 * * [simplify]: iteration 2 : 771 enodes (cost 439 ) 4.789 * * [simplify]: iteration 3 : 3502 enodes (cost 409 ) 6.351 * * [simplify]: iteration done : 5001 enodes (cost 409 ) 6.351 * [simplify]: Simplified to: (expm1 (* y (fma x 2 y))) (log1p (* y (fma x 2 y))) (pow (exp y) (fma x 2 y)) (log (* y (fma x 2 y))) (pow (exp y) (fma x 2 y)) (* (cbrt (* y (fma x 2 y))) (cbrt (* y (fma x 2 y)))) (cbrt (* y (fma x 2 y))) (pow (* y (fma x 2 y)) 3) (sqrt (* y (fma x 2 y))) (sqrt (* y (fma x 2 y))) (fma 8 (pow (* x y) 3) (pow y 6)) (+ (pow y 4) (* (* 2 (* x y)) (* y (- (* 2 x) y)))) (- (* 4 (* (* x y) (* x y))) (pow y 4)) (* y (- (* 2 x) y)) (expm1 (* 2 (* x y))) (log1p (* 2 (* x y))) (* y (* 2 x)) (* y (* 2 x)) (log (* 2 (* x y))) (log (* 2 (* x y))) (log (* 2 (* x y))) (exp (* 2 (* x y))) (* 8 (pow (* x y) 3)) (* 8 (pow (* x y) 3)) (* (cbrt (* 2 (* x y))) (cbrt (* 2 (* x y)))) (cbrt (* 2 (* x y))) (* 8 (pow (* x y) 3)) (sqrt (* 2 (* x y))) (sqrt (* 2 (* x y))) (* 2 x) (* (cbrt 2) (* x y)) (* (sqrt 2) (* x y)) (* y (* 2 x)) (expm1 (fma y (fma x 2 y) (* x x))) (log1p (fma y (fma x 2 y) (* x x))) (* x x) (log (fma y (fma x 2 y) (* x x))) (exp (fma y (fma x 2 y) (* x x))) (* (cbrt (fma y (fma x 2 y) (* x x))) (cbrt (fma y (fma x 2 y) (* x x)))) (cbrt (fma y (fma x 2 y) (* x x))) (pow (fma y (fma x 2 y) (* x x)) 3) (sqrt (fma y (fma x 2 y) (* x x))) (sqrt (fma y (fma x 2 y) (* x x))) (* y (fma x 2 y)) (* y (fma x 2 y)) (* y (fma x 2 y)) (* y (* 2 x)) (* y (* 2 x)) (* y (* 2 x)) (fma y (fma x 2 y) (* x x)) (fma y (fma x 2 y) (* x x)) (fma y (fma x 2 y) (* x x)) 6.351 * * * [progress]: adding candidates to table 6.465 * [progress]: [Phase 3 of 3] Extracting. 6.465 * * [regime]: Finding splitpoints for: (# # #) 6.465 * * * [regime-changes]: Trying 2 branch expressions: (y x) 6.465 * * * * [regimes]: Trying to branch on y from (# # #) 6.479 * * * * [regimes]: Trying to branch on x from (# # #) 6.494 * * * [regime]: Found split indices: #