17.065 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (+ (* x x) (* y y)) 0.019 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.019 * * [simplify]: iteration 1 : 7 enodes (cost 6 ) 0.020 * * [simplify]: iteration 2 : 8 enodes (cost 6 ) 0.021 * * [simplify]: iteration done : 8 enodes (cost 6 ) 0.021 * [simplify]: Simplified to: (fma x x (* y y)) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.029 * * * [progress]: generating series expansions 0.029 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.029 * [approximate]: Taking taylor expansion of (fma x x (pow y 2)) in (x y) around 0 0.029 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 0.029 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.029 * [taylor]: Taking taylor expansion of (* x x) in y 0.029 * [taylor]: Taking taylor expansion of x in y 0.029 * [taylor]: Taking taylor expansion of x in y 0.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.029 * [taylor]: Taking taylor expansion of y in y 0.029 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.029 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.029 * [taylor]: Taking taylor expansion of (* x x) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.030 * [taylor]: Taking taylor expansion of y in x 0.030 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.030 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.030 * [taylor]: Taking taylor expansion of (* x x) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.030 * [taylor]: Taking taylor expansion of y in x 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [taylor]: Taking taylor expansion of 1 in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 0.036 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.036 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.037 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.037 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.037 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.037 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of 1 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 0.048 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.049 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.049 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.049 * [taylor]: Taking taylor expansion of -1 in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.049 * [taylor]: Taking taylor expansion of -1 in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.049 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.049 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.049 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.049 * [taylor]: Taking taylor expansion of -1 in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.050 * [taylor]: Taking taylor expansion of -1 in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.050 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.050 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.050 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.050 * [taylor]: Taking taylor expansion of -1 in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.051 * [taylor]: Taking taylor expansion of -1 in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of 1 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.065 * * * [progress]: simplifying candidates 0.065 * [simplify]: Simplifying using # : (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (* x x) (log (fma x x (* y y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y))) (sqrt (fma x x (* y y))) (sqrt (fma x x (* y y))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.066 * * [simplify]: iteration 0 : 18 enodes (cost 108 ) 0.069 * * [simplify]: iteration 1 : 26 enodes (cost 105 ) 0.073 * * [simplify]: iteration 2 : 66 enodes (cost 85 ) 0.088 * * [simplify]: iteration 3 : 185 enodes (cost 85 ) 0.150 * * [simplify]: iteration 4 : 645 enodes (cost 85 ) 0.505 * * [simplify]: iteration 5 : 3594 enodes (cost 85 ) 2.610 * * [simplify]: iteration done : 5000 enodes (cost 85 ) 2.610 * [simplify]: Simplified to: (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (* x x) (log (fma x x (* y y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (pow (fma x x (* y y)) 3) (hypot y x) (hypot y x) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 2.610 * * * [progress]: adding candidates to table 2.636 * * [progress]: iteration 2 / 4 2.636 * * * [progress]: picking best candidate 2.639 * * * * [pick]: Picked # 2.639 * * * [progress]: localizing error 2.643 * * * [progress]: generating rewritten candidates 2.643 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.647 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 2.647 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 2.648 * * * [progress]: generating series expansions 2.648 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.648 * [approximate]: Taking taylor expansion of (pow (hypot y x) 2) in (y x) around 0 2.648 * [taylor]: Taking taylor expansion of (pow (hypot y x) 2) in x 2.648 * [taylor]: Taking taylor expansion of (hypot y x) in x 2.649 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 2.649 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in x 2.649 * [taylor]: Taking taylor expansion of (* y y) in x 2.649 * [taylor]: Taking taylor expansion of y in x 2.649 * [taylor]: Taking taylor expansion of y in x 2.649 * [taylor]: Taking taylor expansion of (* x x) in x 2.649 * [taylor]: Taking taylor expansion of x in x 2.649 * [taylor]: Taking taylor expansion of x in x 2.650 * [taylor]: Taking taylor expansion of (pow (hypot y x) 2) in y 2.650 * [taylor]: Taking taylor expansion of (hypot y x) in y 2.650 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 2.650 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 2.650 * [taylor]: Taking taylor expansion of (* y y) in y 2.650 * [taylor]: Taking taylor expansion of y in y 2.650 * [taylor]: Taking taylor expansion of y in y 2.650 * [taylor]: Taking taylor expansion of (* x x) in y 2.650 * [taylor]: Taking taylor expansion of x in y 2.650 * [taylor]: Taking taylor expansion of x in y 2.651 * [taylor]: Taking taylor expansion of (pow (hypot y x) 2) in y 2.651 * [taylor]: Taking taylor expansion of (hypot y x) in y 2.652 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 2.652 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 2.652 * [taylor]: Taking taylor expansion of (* y y) in y 2.652 * [taylor]: Taking taylor expansion of y in y 2.652 * [taylor]: Taking taylor expansion of y in y 2.652 * [taylor]: Taking taylor expansion of (* x x) in y 2.652 * [taylor]: Taking taylor expansion of x in y 2.652 * [taylor]: Taking taylor expansion of x in y 2.653 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.653 * [taylor]: Taking taylor expansion of x in x 2.653 * [taylor]: Taking taylor expansion of 0 in x 2.655 * [taylor]: Taking taylor expansion of 1 in x 2.656 * [taylor]: Taking taylor expansion of 0 in x 2.660 * [taylor]: Taking taylor expansion of 0 in x 2.661 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 y) (/ 1 x)) 2) in (y x) around 0 2.661 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y) (/ 1 x)) 2) in x 2.661 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in x 2.661 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 2.661 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in x 2.661 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.661 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.661 * [taylor]: Taking taylor expansion of y in x 2.661 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.661 * [taylor]: Taking taylor expansion of y in x 2.661 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.661 * [taylor]: Taking taylor expansion of x in x 2.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.661 * [taylor]: Taking taylor expansion of x in x 2.664 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y) (/ 1 x)) 2) in y 2.664 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 2.664 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 2.664 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 2.664 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.664 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.664 * [taylor]: Taking taylor expansion of y in y 2.665 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.665 * [taylor]: Taking taylor expansion of y in y 2.665 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.665 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.665 * [taylor]: Taking taylor expansion of x in y 2.665 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.665 * [taylor]: Taking taylor expansion of x in y 2.668 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y) (/ 1 x)) 2) in y 2.668 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 2.668 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 2.668 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 2.668 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.668 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.668 * [taylor]: Taking taylor expansion of y in y 2.668 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.668 * [taylor]: Taking taylor expansion of y in y 2.668 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.668 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.668 * [taylor]: Taking taylor expansion of x in y 2.668 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.668 * [taylor]: Taking taylor expansion of x in y 2.671 * [taylor]: Taking taylor expansion of 1 in x 2.672 * [taylor]: Taking taylor expansion of 0 in x 2.675 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.675 * [taylor]: Taking taylor expansion of x in x 2.678 * [taylor]: Taking taylor expansion of 0 in x 2.683 * [taylor]: Taking taylor expansion of 0 in x 2.684 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 y) (/ -1 x)) 2) in (y x) around 0 2.684 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y) (/ -1 x)) 2) in x 2.684 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in x 2.685 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 2.685 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in x 2.685 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.685 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.685 * [taylor]: Taking taylor expansion of -1 in x 2.685 * [taylor]: Taking taylor expansion of y in x 2.685 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.685 * [taylor]: Taking taylor expansion of -1 in x 2.685 * [taylor]: Taking taylor expansion of y in x 2.685 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.685 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.685 * [taylor]: Taking taylor expansion of -1 in x 2.685 * [taylor]: Taking taylor expansion of x in x 2.685 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.685 * [taylor]: Taking taylor expansion of -1 in x 2.685 * [taylor]: Taking taylor expansion of x in x 2.688 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y) (/ -1 x)) 2) in y 2.688 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 2.688 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 2.688 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 2.688 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.688 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.688 * [taylor]: Taking taylor expansion of -1 in y 2.688 * [taylor]: Taking taylor expansion of y in y 2.689 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.689 * [taylor]: Taking taylor expansion of -1 in y 2.689 * [taylor]: Taking taylor expansion of y in y 2.689 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.689 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.689 * [taylor]: Taking taylor expansion of -1 in y 2.689 * [taylor]: Taking taylor expansion of x in y 2.689 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.689 * [taylor]: Taking taylor expansion of -1 in y 2.689 * [taylor]: Taking taylor expansion of x in y 2.692 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y) (/ -1 x)) 2) in y 2.692 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 2.692 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 2.692 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 2.692 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.692 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.692 * [taylor]: Taking taylor expansion of -1 in y 2.692 * [taylor]: Taking taylor expansion of y in y 2.692 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.692 * [taylor]: Taking taylor expansion of -1 in y 2.692 * [taylor]: Taking taylor expansion of y in y 2.692 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.692 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.692 * [taylor]: Taking taylor expansion of -1 in y 2.692 * [taylor]: Taking taylor expansion of x in y 2.693 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.693 * [taylor]: Taking taylor expansion of -1 in y 2.693 * [taylor]: Taking taylor expansion of x in y 2.695 * [taylor]: Taking taylor expansion of 1 in x 2.696 * [taylor]: Taking taylor expansion of 0 in x 2.699 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.699 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.699 * [taylor]: Taking taylor expansion of x in x 2.702 * [taylor]: Taking taylor expansion of 0 in x 2.713 * [taylor]: Taking taylor expansion of 0 in x 2.714 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 2.714 * [approximate]: Taking taylor expansion of (hypot y x) in (y x) around 0 2.714 * [taylor]: Taking taylor expansion of (hypot y x) in x 2.715 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 2.715 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in x 2.715 * [taylor]: Taking taylor expansion of (* y y) in x 2.715 * [taylor]: Taking taylor expansion of y in x 2.715 * [taylor]: Taking taylor expansion of y in x 2.715 * [taylor]: Taking taylor expansion of (* x x) in x 2.715 * [taylor]: Taking taylor expansion of x in x 2.715 * [taylor]: Taking taylor expansion of x in x 2.716 * [taylor]: Taking taylor expansion of (hypot y x) in y 2.716 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 2.716 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 2.716 * [taylor]: Taking taylor expansion of (* y y) in y 2.716 * [taylor]: Taking taylor expansion of y in y 2.716 * [taylor]: Taking taylor expansion of y in y 2.716 * [taylor]: Taking taylor expansion of (* x x) in y 2.716 * [taylor]: Taking taylor expansion of x in y 2.716 * [taylor]: Taking taylor expansion of x in y 2.717 * [taylor]: Taking taylor expansion of (hypot y x) in y 2.717 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 2.717 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 2.717 * [taylor]: Taking taylor expansion of (* y y) in y 2.717 * [taylor]: Taking taylor expansion of y in y 2.717 * [taylor]: Taking taylor expansion of y in y 2.717 * [taylor]: Taking taylor expansion of (* x x) in y 2.717 * [taylor]: Taking taylor expansion of x in y 2.717 * [taylor]: Taking taylor expansion of x in y 2.718 * [taylor]: Taking taylor expansion of x in x 2.719 * [taylor]: Taking taylor expansion of 0 in x 2.720 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 2.720 * [taylor]: Taking taylor expansion of 1/2 in x 2.720 * [taylor]: Taking taylor expansion of x in x 2.722 * [taylor]: Taking taylor expansion of 0 in x 2.723 * [approximate]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in (y x) around 0 2.723 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in x 2.723 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 2.723 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in x 2.723 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.723 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.723 * [taylor]: Taking taylor expansion of y in x 2.723 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.723 * [taylor]: Taking taylor expansion of y in x 2.723 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.723 * [taylor]: Taking taylor expansion of x in x 2.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.723 * [taylor]: Taking taylor expansion of x in x 2.726 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 2.726 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 2.726 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 2.726 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.726 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.726 * [taylor]: Taking taylor expansion of y in y 2.727 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.727 * [taylor]: Taking taylor expansion of y in y 2.727 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.727 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.727 * [taylor]: Taking taylor expansion of x in y 2.727 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.727 * [taylor]: Taking taylor expansion of x in y 2.729 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 2.730 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 2.730 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 2.730 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.730 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.730 * [taylor]: Taking taylor expansion of y in y 2.730 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.730 * [taylor]: Taking taylor expansion of y in y 2.730 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.730 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.730 * [taylor]: Taking taylor expansion of x in y 2.730 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.730 * [taylor]: Taking taylor expansion of x in y 2.733 * [taylor]: Taking taylor expansion of 1 in x 2.733 * [taylor]: Taking taylor expansion of 0 in x 2.735 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 2.735 * [taylor]: Taking taylor expansion of 1/2 in x 2.735 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.735 * [taylor]: Taking taylor expansion of x in x 2.739 * [taylor]: Taking taylor expansion of 0 in x 2.740 * [approximate]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in (y x) around 0 2.740 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in x 2.740 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 2.740 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in x 2.740 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.740 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.740 * [taylor]: Taking taylor expansion of -1 in x 2.740 * [taylor]: Taking taylor expansion of y in x 2.741 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.741 * [taylor]: Taking taylor expansion of -1 in x 2.741 * [taylor]: Taking taylor expansion of y in x 2.741 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.741 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.741 * [taylor]: Taking taylor expansion of -1 in x 2.741 * [taylor]: Taking taylor expansion of x in x 2.741 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.741 * [taylor]: Taking taylor expansion of -1 in x 2.741 * [taylor]: Taking taylor expansion of x in x 2.744 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 2.744 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 2.744 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 2.744 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.744 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.744 * [taylor]: Taking taylor expansion of -1 in y 2.744 * [taylor]: Taking taylor expansion of y in y 2.744 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.744 * [taylor]: Taking taylor expansion of -1 in y 2.744 * [taylor]: Taking taylor expansion of y in y 2.745 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.745 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.745 * [taylor]: Taking taylor expansion of -1 in y 2.745 * [taylor]: Taking taylor expansion of x in y 2.745 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.745 * [taylor]: Taking taylor expansion of -1 in y 2.745 * [taylor]: Taking taylor expansion of x in y 2.747 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 2.748 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 2.748 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 2.748 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.748 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.748 * [taylor]: Taking taylor expansion of -1 in y 2.748 * [taylor]: Taking taylor expansion of y in y 2.748 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.748 * [taylor]: Taking taylor expansion of -1 in y 2.748 * [taylor]: Taking taylor expansion of y in y 2.748 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.748 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.748 * [taylor]: Taking taylor expansion of -1 in y 2.748 * [taylor]: Taking taylor expansion of x in y 2.748 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.748 * [taylor]: Taking taylor expansion of -1 in y 2.748 * [taylor]: Taking taylor expansion of x in y 2.751 * [taylor]: Taking taylor expansion of 1 in x 2.751 * [taylor]: Taking taylor expansion of 0 in x 2.754 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 2.754 * [taylor]: Taking taylor expansion of 1/2 in x 2.754 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.754 * [taylor]: Taking taylor expansion of x in x 2.758 * [taylor]: Taking taylor expansion of 0 in x 2.759 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 2.759 * [approximate]: Taking taylor expansion of (hypot y x) in (y x) around 0 2.759 * [taylor]: Taking taylor expansion of (hypot y x) in x 2.759 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 2.759 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in x 2.759 * [taylor]: Taking taylor expansion of (* y y) in x 2.759 * [taylor]: Taking taylor expansion of y in x 2.759 * [taylor]: Taking taylor expansion of y in x 2.759 * [taylor]: Taking taylor expansion of (* x x) in x 2.759 * [taylor]: Taking taylor expansion of x in x 2.759 * [taylor]: Taking taylor expansion of x in x 2.761 * [taylor]: Taking taylor expansion of (hypot y x) in y 2.761 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 2.761 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 2.761 * [taylor]: Taking taylor expansion of (* y y) in y 2.761 * [taylor]: Taking taylor expansion of y in y 2.761 * [taylor]: Taking taylor expansion of y in y 2.761 * [taylor]: Taking taylor expansion of (* x x) in y 2.761 * [taylor]: Taking taylor expansion of x in y 2.761 * [taylor]: Taking taylor expansion of x in y 2.762 * [taylor]: Taking taylor expansion of (hypot y x) in y 2.762 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 2.762 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 2.762 * [taylor]: Taking taylor expansion of (* y y) in y 2.762 * [taylor]: Taking taylor expansion of y in y 2.762 * [taylor]: Taking taylor expansion of y in y 2.762 * [taylor]: Taking taylor expansion of (* x x) in y 2.762 * [taylor]: Taking taylor expansion of x in y 2.762 * [taylor]: Taking taylor expansion of x in y 2.763 * [taylor]: Taking taylor expansion of x in x 2.763 * [taylor]: Taking taylor expansion of 0 in x 2.765 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 2.765 * [taylor]: Taking taylor expansion of 1/2 in x 2.765 * [taylor]: Taking taylor expansion of x in x 2.767 * [taylor]: Taking taylor expansion of 0 in x 2.768 * [approximate]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in (y x) around 0 2.768 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in x 2.768 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 2.768 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in x 2.768 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.768 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.768 * [taylor]: Taking taylor expansion of y in x 2.768 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.768 * [taylor]: Taking taylor expansion of y in x 2.768 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.768 * [taylor]: Taking taylor expansion of x in x 2.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.768 * [taylor]: Taking taylor expansion of x in x 2.771 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 2.771 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 2.771 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 2.771 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.771 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.771 * [taylor]: Taking taylor expansion of y in y 2.771 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.771 * [taylor]: Taking taylor expansion of y in y 2.772 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.772 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.772 * [taylor]: Taking taylor expansion of x in y 2.772 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.772 * [taylor]: Taking taylor expansion of x in y 2.774 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 2.774 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 2.774 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 2.774 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.774 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.774 * [taylor]: Taking taylor expansion of y in y 2.775 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.775 * [taylor]: Taking taylor expansion of y in y 2.775 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.775 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.775 * [taylor]: Taking taylor expansion of x in y 2.775 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.775 * [taylor]: Taking taylor expansion of x in y 2.778 * [taylor]: Taking taylor expansion of 1 in x 2.778 * [taylor]: Taking taylor expansion of 0 in x 2.780 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 2.780 * [taylor]: Taking taylor expansion of 1/2 in x 2.780 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.780 * [taylor]: Taking taylor expansion of x in x 2.784 * [taylor]: Taking taylor expansion of 0 in x 2.785 * [approximate]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in (y x) around 0 2.785 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in x 2.785 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 2.785 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in x 2.785 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.785 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.785 * [taylor]: Taking taylor expansion of -1 in x 2.785 * [taylor]: Taking taylor expansion of y in x 2.785 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.785 * [taylor]: Taking taylor expansion of -1 in x 2.785 * [taylor]: Taking taylor expansion of y in x 2.786 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.786 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.786 * [taylor]: Taking taylor expansion of -1 in x 2.786 * [taylor]: Taking taylor expansion of x in x 2.786 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.786 * [taylor]: Taking taylor expansion of -1 in x 2.786 * [taylor]: Taking taylor expansion of x in x 2.789 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 2.789 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 2.789 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 2.789 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.789 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.789 * [taylor]: Taking taylor expansion of -1 in y 2.789 * [taylor]: Taking taylor expansion of y in y 2.789 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.789 * [taylor]: Taking taylor expansion of -1 in y 2.789 * [taylor]: Taking taylor expansion of y in y 2.790 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.790 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.790 * [taylor]: Taking taylor expansion of -1 in y 2.790 * [taylor]: Taking taylor expansion of x in y 2.790 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.790 * [taylor]: Taking taylor expansion of -1 in y 2.790 * [taylor]: Taking taylor expansion of x in y 2.792 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 2.792 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 2.792 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 2.793 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.793 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.793 * [taylor]: Taking taylor expansion of -1 in y 2.793 * [taylor]: Taking taylor expansion of y in y 2.793 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.793 * [taylor]: Taking taylor expansion of -1 in y 2.793 * [taylor]: Taking taylor expansion of y in y 2.793 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.793 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.793 * [taylor]: Taking taylor expansion of -1 in y 2.793 * [taylor]: Taking taylor expansion of x in y 2.793 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.793 * [taylor]: Taking taylor expansion of -1 in y 2.793 * [taylor]: Taking taylor expansion of x in y 2.801 * [taylor]: Taking taylor expansion of 1 in x 2.801 * [taylor]: Taking taylor expansion of 0 in x 2.804 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 2.804 * [taylor]: Taking taylor expansion of 1/2 in x 2.804 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.804 * [taylor]: Taking taylor expansion of x in x 2.808 * [taylor]: Taking taylor expansion of 0 in x 2.809 * * * [progress]: simplifying candidates 2.810 * [simplify]: Simplifying using # : (expm1 (* (hypot y x) (hypot y x))) (log1p (* (hypot y x) (hypot y x))) (+ 1 1) (* (hypot y x) (hypot y x)) (+ 1 1) (+ (log (hypot y x)) (log (hypot y x))) (log (* (hypot y x) (hypot y x))) (exp (* (hypot y x) (hypot y x))) (* (* (* (hypot y x) (hypot y x)) (hypot y x)) (* (* (hypot y x) (hypot y x)) (hypot y x))) (* (cbrt (* (hypot y x) (hypot y x))) (cbrt (* (hypot y x) (hypot y x)))) (cbrt (* (hypot y x) (hypot y x))) (* (* (* (hypot y x) (hypot y x)) (* (hypot y x) (hypot y x))) (* (hypot y x) (hypot y x))) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (sqrt (* (hypot y x) (hypot y x))) (sqrt (* (hypot y x) (hypot y x))) (* (* (cbrt (hypot y x)) (cbrt (hypot y x))) (* (cbrt (hypot y x)) (cbrt (hypot y x)))) (* (cbrt (hypot y x)) (cbrt (hypot y x))) (* (sqrt (hypot y x)) (sqrt (hypot y x))) (* (sqrt (hypot y x)) (sqrt (hypot y x))) (* 1 1) (* (hypot y x) (hypot y x)) (* (sqrt (hypot y x)) (sqrt (hypot y x))) (* (sqrt (hypot y x)) (sqrt (hypot y x))) (* 2 1) (* (hypot y x) (* (cbrt (hypot y x)) (cbrt (hypot y x)))) (* (hypot y x) (sqrt (hypot y x))) (* (hypot y x) 1) (* (cbrt (hypot y x)) (hypot y x)) (* (sqrt (hypot y x)) (hypot y x)) (* (hypot y x) (hypot y x)) (expm1 (hypot y x)) (log1p (hypot y x)) (+ (* y y) (* x x)) (log (hypot y x)) (exp (hypot y x)) (* (cbrt (hypot y x)) (cbrt (hypot y x))) (cbrt (hypot y x)) (* (* (hypot y x) (hypot y x)) (hypot y x)) (sqrt (hypot y x)) (sqrt (hypot y x)) (expm1 (hypot y x)) (log1p (hypot y x)) (+ (* y y) (* x x)) (log (hypot y x)) (exp (hypot y x)) (* (cbrt (hypot y x)) (cbrt (hypot y x))) (cbrt (hypot y x)) (* (* (hypot y x) (hypot y x)) (hypot y x)) (sqrt (hypot y x)) (sqrt (hypot y x)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) x y (* -1 y) x y (* -1 y) 2.811 * * [simplify]: iteration 0 : 44 enodes (cost 423 ) 2.819 * * [simplify]: iteration 1 : 86 enodes (cost 367 ) 2.839 * * [simplify]: iteration 2 : 272 enodes (cost 315 ) 2.946 * * [simplify]: iteration 3 : 987 enodes (cost 289 ) 3.763 * * [simplify]: iteration done : 5001 enodes (cost 289 ) 3.763 * [simplify]: Simplified to: (expm1 (pow (sqrt (hypot y x)) 4)) (log1p (pow (sqrt (hypot y x)) 4)) 2 (pow (sqrt (hypot y x)) 4) 2 (* 2 (log (hypot y x))) (* 2 (log (hypot y x))) (exp (pow (sqrt (hypot y x)) 4)) (pow (hypot y x) 6) (* (cbrt (pow (sqrt (hypot y x)) 4)) (cbrt (pow (sqrt (hypot y x)) 4))) (cbrt (pow (sqrt (hypot y x)) 4)) (pow (hypot y x) 6) (* (fma y y (* x x)) (fma y y (* x x))) (fabs (hypot y x)) (fabs (hypot y x)) (pow (cbrt (hypot y x)) 4) (* (cbrt (hypot y x)) (cbrt (hypot y x))) (hypot y x) (hypot y x) 1 (pow (sqrt (hypot y x)) 4) (hypot y x) (hypot y x) 2 (* (cbrt (hypot y x)) (pow (cbrt (hypot y x)) 4)) (pow (sqrt (hypot y x)) 3) (hypot y x) (pow (cbrt (hypot y x)) 4) (pow (sqrt (hypot y x)) 3) (pow (sqrt (hypot y x)) 4) (expm1 (hypot y x)) (log1p (hypot y x)) (fma y y (* x x)) (log (hypot y x)) (exp (hypot y x)) (* (cbrt (hypot y x)) (cbrt (hypot y x))) (cbrt (hypot y x)) (pow (hypot y x) 3) (sqrt (hypot y x)) (sqrt (hypot y x)) (expm1 (hypot y x)) (log1p (hypot y x)) (fma y y (* x x)) (log (hypot y x)) (exp (hypot y x)) (* (cbrt (hypot y x)) (cbrt (hypot y x))) (cbrt (hypot y x)) (pow (hypot y x) 3) (sqrt (hypot y x)) (sqrt (hypot y x)) (fma y y (* x x)) (fma y y (* x x)) (fma y y (* x x)) x y (- y) x y (- y) 3.764 * * * [progress]: adding candidates to table 3.872 * * [progress]: iteration 3 / 4 3.872 * * * [progress]: picking best candidate 3.876 * * * * [pick]: Picked # 3.876 * * * [progress]: localizing error 3.880 * * * [progress]: generating rewritten candidates 3.880 * * * [progress]: generating series expansions 3.880 * * * [progress]: simplifying candidates 3.880 * [simplify]: Simplifying using # : 3.881 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 3.881 * * [simplify]: iteration done : 0 enodes (cost 0 ) 3.881 * [simplify]: Simplified to: 3.881 * * * [progress]: adding candidates to table 3.881 * [progress]: [Phase 3 of 3] Extracting. 3.883 * [simplify]: Simplifying using # : (fma y y (* x x)) 3.883 * * [simplify]: iteration 0 : 4 enodes (cost 6 ) 3.883 * * [simplify]: iteration done : 4 enodes (cost 6 ) 3.883 * [simplify]: Simplified to: (fma y y (* x x)) 4.411 * [regime-testing]: End program error score: 0.00450056257032129