15.191 * [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 # : (sqrt (+ (* x x) y)) 0.017 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.018 * * [simplify]: iteration 1 : 7 enodes (cost 5 ) 0.018 * * [simplify]: iteration done : 7 enodes (cost 5 ) 0.018 * [simplify]: Simplified to: (sqrt (fma x x y)) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.028 * * * [progress]: generating series expansions 0.028 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.028 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0 0.028 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y 0.028 * [taylor]: Taking taylor expansion of (fma x x y) in y 0.028 * [taylor]: Rewrote expression to (+ (* x x) y) 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 y in y 0.029 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.029 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.029 * [taylor]: Rewrote expression to (+ (* x x) y) 0.029 * [taylor]: Taking taylor expansion of (* x x) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of y in x 0.030 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.030 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.031 * [taylor]: Rewrote expression to (+ (* x x) y) 0.031 * [taylor]: Taking taylor expansion of (* x x) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.034 * [taylor]: Taking taylor expansion of 1/2 in y 0.034 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.034 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.039 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y 0.039 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y 0.039 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.039 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.040 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.041 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.041 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.044 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.044 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.044 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of 1 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.049 * [taylor]: Taking taylor expansion of 1/2 in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.055 * [taylor]: Taking taylor expansion of -1/8 in y 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.056 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y 0.056 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y 0.057 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.057 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.057 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.057 * [taylor]: Taking taylor expansion of -1 in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.057 * [taylor]: Taking taylor expansion of -1 in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.057 * [taylor]: Taking taylor expansion of -1 in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.058 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.059 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.059 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.059 * [taylor]: Taking taylor expansion of -1 in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.059 * [taylor]: Taking taylor expansion of -1 in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.059 * [taylor]: Taking taylor expansion of -1 in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.062 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.062 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.062 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.062 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.062 * [taylor]: Taking taylor expansion of -1 in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.063 * [taylor]: Taking taylor expansion of -1 in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.063 * [taylor]: Taking taylor expansion of -1 in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of 1 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.068 * [taylor]: Taking taylor expansion of -1/2 in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.074 * [taylor]: Taking taylor expansion of -1/8 in y 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.076 * * * [progress]: simplifying candidates 0.076 * [simplify]: Simplifying using # : (expm1 (sqrt (fma x x y))) (log1p (sqrt (fma x x y))) (log (sqrt (fma x x y))) (exp (sqrt (fma x x y))) (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y)))) (cbrt (sqrt (fma x x y))) (* (* (sqrt (fma x x y)) (sqrt (fma x x y))) (sqrt (fma x x y))) (sqrt (* (cbrt (fma x x y)) (cbrt (fma x x y)))) (sqrt (cbrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt 1) (sqrt (fma x x y)) (/ 1 2) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) 0.077 * * [simplify]: iteration 0 : 37 enodes (cost 145 ) 0.088 * * [simplify]: iteration 1 : 75 enodes (cost 127 ) 0.099 * * [simplify]: iteration 2 : 188 enodes (cost 120 ) 0.142 * * [simplify]: iteration 3 : 552 enodes (cost 118 ) 0.359 * * [simplify]: iteration 4 : 1890 enodes (cost 104 ) 1.488 * * [simplify]: iteration done : 5000 enodes (cost 104 ) 1.488 * [simplify]: Simplified to: (expm1 (hypot (sqrt y) x)) (log1p (hypot (sqrt y) x)) (log (hypot (sqrt y) x)) (exp (hypot (sqrt y) x)) (* (cbrt (hypot (sqrt y) x)) (cbrt (hypot (sqrt y) x))) (cbrt (hypot (sqrt y) x)) (pow (hypot (sqrt y) x) 3) (fabs (cbrt (fma x x y))) (sqrt (cbrt (fma x x y))) (sqrt (hypot (sqrt y) x)) (sqrt (hypot (sqrt y) x)) 1 (hypot (sqrt y) x) 1/2 (sqrt (hypot (sqrt y) x)) (sqrt (hypot (sqrt y) x)) (* (- (- (pow y 2) y) (pow x 2)) +nan.0) (fma (/ y x) 1/2 x) (- (fma (/ y x) 1/2 x)) 1.488 * * * [progress]: adding candidates to table 1.532 * * [progress]: iteration 2 / 4 1.532 * * * [progress]: picking best candidate 1.534 * * * * [pick]: Picked # 1.534 * * * [progress]: localizing error 1.539 * * * [progress]: generating rewritten candidates 1.539 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.539 * * * [progress]: generating series expansions 1.539 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.540 * [approximate]: Taking taylor expansion of (fma (/ y x) 1/2 x) in (y x) around 0 1.540 * [taylor]: Taking taylor expansion of (fma (/ y x) 1/2 x) in x 1.540 * [taylor]: Rewrote expression to (+ (* (/ y x) 1/2) x) 1.540 * [taylor]: Taking taylor expansion of (* (/ y x) 1/2) in x 1.540 * [taylor]: Taking taylor expansion of (/ y x) in x 1.540 * [taylor]: Taking taylor expansion of y in x 1.540 * [taylor]: Taking taylor expansion of x in x 1.540 * [taylor]: Taking taylor expansion of 1/2 in x 1.540 * [taylor]: Taking taylor expansion of x in x 1.540 * [taylor]: Taking taylor expansion of (fma (/ y x) 1/2 x) in y 1.540 * [taylor]: Rewrote expression to (+ (* (/ y x) 1/2) x) 1.540 * [taylor]: Taking taylor expansion of (* (/ y x) 1/2) in y 1.540 * [taylor]: Taking taylor expansion of (/ y x) in y 1.540 * [taylor]: Taking taylor expansion of y in y 1.540 * [taylor]: Taking taylor expansion of x in y 1.540 * [taylor]: Taking taylor expansion of 1/2 in y 1.540 * [taylor]: Taking taylor expansion of x in y 1.540 * [taylor]: Taking taylor expansion of (fma (/ y x) 1/2 x) in y 1.540 * [taylor]: Rewrote expression to (+ (* (/ y x) 1/2) x) 1.540 * [taylor]: Taking taylor expansion of (* (/ y x) 1/2) in y 1.540 * [taylor]: Taking taylor expansion of (/ y x) in y 1.540 * [taylor]: Taking taylor expansion of y in y 1.540 * [taylor]: Taking taylor expansion of x in y 1.540 * [taylor]: Taking taylor expansion of 1/2 in y 1.540 * [taylor]: Taking taylor expansion of x in y 1.540 * [taylor]: Taking taylor expansion of x in x 1.541 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 1.541 * [taylor]: Taking taylor expansion of 1/2 in x 1.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.541 * [taylor]: Taking taylor expansion of x in x 1.542 * [taylor]: Taking taylor expansion of 0 in x 1.543 * [taylor]: Taking taylor expansion of 0 in x 1.545 * [taylor]: Taking taylor expansion of 0 in x 1.547 * [approximate]: Taking taylor expansion of (fma (/ x y) 1/2 (/ 1 x)) in (y x) around 0 1.547 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ 1 x)) in x 1.547 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ 1 x)) 1.547 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in x 1.547 * [taylor]: Taking taylor expansion of (/ x y) in x 1.547 * [taylor]: Taking taylor expansion of x in x 1.547 * [taylor]: Taking taylor expansion of y in x 1.547 * [taylor]: Taking taylor expansion of 1/2 in x 1.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.547 * [taylor]: Taking taylor expansion of x in x 1.547 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ 1 x)) in y 1.547 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ 1 x)) 1.547 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in y 1.547 * [taylor]: Taking taylor expansion of (/ x y) in y 1.547 * [taylor]: Taking taylor expansion of x in y 1.547 * [taylor]: Taking taylor expansion of y in y 1.547 * [taylor]: Taking taylor expansion of 1/2 in y 1.547 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.547 * [taylor]: Taking taylor expansion of x in y 1.547 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ 1 x)) in y 1.548 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ 1 x)) 1.548 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in y 1.548 * [taylor]: Taking taylor expansion of (/ x y) in y 1.548 * [taylor]: Taking taylor expansion of x in y 1.548 * [taylor]: Taking taylor expansion of y in y 1.548 * [taylor]: Taking taylor expansion of 1/2 in y 1.548 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.548 * [taylor]: Taking taylor expansion of x in y 1.548 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 1.548 * [taylor]: Taking taylor expansion of 1/2 in x 1.548 * [taylor]: Taking taylor expansion of x in x 1.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.549 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of 0 in x 1.554 * [taylor]: Taking taylor expansion of 0 in x 1.559 * [taylor]: Taking taylor expansion of 0 in x 1.560 * [approximate]: Taking taylor expansion of (fma (/ x y) 1/2 (/ -1 x)) in (y x) around 0 1.560 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ -1 x)) in x 1.560 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ -1 x)) 1.560 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in x 1.560 * [taylor]: Taking taylor expansion of (/ x y) in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of y in x 1.560 * [taylor]: Taking taylor expansion of 1/2 in x 1.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.560 * [taylor]: Taking taylor expansion of -1 in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.561 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ -1 x)) in y 1.561 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ -1 x)) 1.561 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in y 1.561 * [taylor]: Taking taylor expansion of (/ x y) in y 1.561 * [taylor]: Taking taylor expansion of x in y 1.561 * [taylor]: Taking taylor expansion of y in y 1.561 * [taylor]: Taking taylor expansion of 1/2 in y 1.561 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.561 * [taylor]: Taking taylor expansion of -1 in y 1.561 * [taylor]: Taking taylor expansion of x in y 1.561 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ -1 x)) in y 1.561 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ -1 x)) 1.561 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in y 1.561 * [taylor]: Taking taylor expansion of (/ x y) in y 1.561 * [taylor]: Taking taylor expansion of x in y 1.561 * [taylor]: Taking taylor expansion of y in y 1.561 * [taylor]: Taking taylor expansion of 1/2 in y 1.561 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.561 * [taylor]: Taking taylor expansion of -1 in y 1.561 * [taylor]: Taking taylor expansion of x in y 1.561 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 1.561 * [taylor]: Taking taylor expansion of 1/2 in x 1.562 * [taylor]: Taking taylor expansion of x in x 1.562 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.562 * [taylor]: Taking taylor expansion of x in x 1.565 * [taylor]: Taking taylor expansion of 0 in x 1.568 * [taylor]: Taking taylor expansion of 0 in x 1.571 * [taylor]: Taking taylor expansion of 0 in x 1.572 * * * [progress]: simplifying candidates 1.572 * [simplify]: Simplifying using # : (expm1 (fma (/ y x) 1/2 x)) (log1p (fma (/ y x) 1/2 x)) (* (/ y x) 1/2) (log (fma (/ y x) 1/2 x)) (exp (fma (/ y x) 1/2 x)) (* (cbrt (fma (/ y x) 1/2 x)) (cbrt (fma (/ y x) 1/2 x))) (cbrt (fma (/ y x) 1/2 x)) (* (* (fma (/ y x) 1/2 x) (fma (/ y x) 1/2 x)) (fma (/ y x) 1/2 x)) (sqrt (fma (/ y x) 1/2 x)) (sqrt (fma (/ y x) 1/2 x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 1.574 * * [simplify]: iteration 0 : 17 enodes (cost 110 ) 1.576 * * [simplify]: iteration 1 : 23 enodes (cost 107 ) 1.578 * * [simplify]: iteration 2 : 53 enodes (cost 95 ) 1.588 * * [simplify]: iteration 3 : 141 enodes (cost 95 ) 1.621 * * [simplify]: iteration 4 : 490 enodes (cost 95 ) 1.781 * * [simplify]: iteration 5 : 1936 enodes (cost 95 ) 2.534 * * [simplify]: iteration done : 5001 enodes (cost 95 ) 2.534 * [simplify]: Simplified to: (expm1 (fma (/ y x) 1/2 x)) (log1p (fma (/ y x) 1/2 x)) (* (/ y x) 1/2) (log (fma (/ y x) 1/2 x)) (exp (fma (/ y x) 1/2 x)) (* (cbrt (fma (/ y x) 1/2 x)) (cbrt (fma (/ y x) 1/2 x))) (cbrt (fma (/ y x) 1/2 x)) (pow (fma (/ y x) 1/2 x) 3) (sqrt (fma (/ y x) 1/2 x)) (sqrt (fma (/ y x) 1/2 x)) (fma (/ y x) 1/2 x) (fma (/ y x) 1/2 x) (fma (/ y x) 1/2 x) 2.534 * * * [progress]: adding candidates to table 2.561 * * [progress]: iteration 3 / 4 2.561 * * * [progress]: picking best candidate 2.563 * * * * [pick]: Picked # 2.563 * * * [progress]: localizing error 2.568 * * * [progress]: generating rewritten candidates 2.568 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 2.569 * * * [progress]: generating series expansions 2.569 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 2.569 * [approximate]: Taking taylor expansion of (fma (/ y x) 1/2 x) in (y x) around 0 2.569 * [taylor]: Taking taylor expansion of (fma (/ y x) 1/2 x) in x 2.569 * [taylor]: Rewrote expression to (+ (* (/ y x) 1/2) x) 2.569 * [taylor]: Taking taylor expansion of (* (/ y x) 1/2) in x 2.569 * [taylor]: Taking taylor expansion of (/ y x) in x 2.569 * [taylor]: Taking taylor expansion of y in x 2.569 * [taylor]: Taking taylor expansion of x in x 2.569 * [taylor]: Taking taylor expansion of 1/2 in x 2.569 * [taylor]: Taking taylor expansion of x in x 2.569 * [taylor]: Taking taylor expansion of (fma (/ y x) 1/2 x) in y 2.570 * [taylor]: Rewrote expression to (+ (* (/ y x) 1/2) x) 2.570 * [taylor]: Taking taylor expansion of (* (/ y x) 1/2) in y 2.570 * [taylor]: Taking taylor expansion of (/ y x) in y 2.570 * [taylor]: Taking taylor expansion of y in y 2.570 * [taylor]: Taking taylor expansion of x in y 2.570 * [taylor]: Taking taylor expansion of 1/2 in y 2.570 * [taylor]: Taking taylor expansion of x in y 2.570 * [taylor]: Taking taylor expansion of (fma (/ y x) 1/2 x) in y 2.570 * [taylor]: Rewrote expression to (+ (* (/ y x) 1/2) x) 2.570 * [taylor]: Taking taylor expansion of (* (/ y x) 1/2) in y 2.570 * [taylor]: Taking taylor expansion of (/ y x) in y 2.570 * [taylor]: Taking taylor expansion of y in y 2.570 * [taylor]: Taking taylor expansion of x in y 2.570 * [taylor]: Taking taylor expansion of 1/2 in y 2.570 * [taylor]: Taking taylor expansion of x in y 2.570 * [taylor]: Taking taylor expansion of x in x 2.570 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 2.570 * [taylor]: Taking taylor expansion of 1/2 in x 2.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.570 * [taylor]: Taking taylor expansion of x in x 2.571 * [taylor]: Taking taylor expansion of 0 in x 2.573 * [taylor]: Taking taylor expansion of 0 in x 2.575 * [taylor]: Taking taylor expansion of 0 in x 2.576 * [approximate]: Taking taylor expansion of (fma (/ x y) 1/2 (/ 1 x)) in (y x) around 0 2.576 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ 1 x)) in x 2.576 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ 1 x)) 2.576 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in x 2.576 * [taylor]: Taking taylor expansion of (/ x y) in x 2.576 * [taylor]: Taking taylor expansion of x in x 2.576 * [taylor]: Taking taylor expansion of y in x 2.576 * [taylor]: Taking taylor expansion of 1/2 in x 2.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.577 * [taylor]: Taking taylor expansion of x in x 2.577 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ 1 x)) in y 2.577 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ 1 x)) 2.577 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in y 2.577 * [taylor]: Taking taylor expansion of (/ x y) in y 2.577 * [taylor]: Taking taylor expansion of x in y 2.577 * [taylor]: Taking taylor expansion of y in y 2.577 * [taylor]: Taking taylor expansion of 1/2 in y 2.577 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.577 * [taylor]: Taking taylor expansion of x in y 2.577 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ 1 x)) in y 2.577 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ 1 x)) 2.577 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in y 2.577 * [taylor]: Taking taylor expansion of (/ x y) in y 2.577 * [taylor]: Taking taylor expansion of x in y 2.577 * [taylor]: Taking taylor expansion of y in y 2.577 * [taylor]: Taking taylor expansion of 1/2 in y 2.577 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.577 * [taylor]: Taking taylor expansion of x in y 2.577 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.577 * [taylor]: Taking taylor expansion of 1/2 in x 2.577 * [taylor]: Taking taylor expansion of x in x 2.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.578 * [taylor]: Taking taylor expansion of x in x 2.580 * [taylor]: Taking taylor expansion of 0 in x 2.583 * [taylor]: Taking taylor expansion of 0 in x 2.586 * [taylor]: Taking taylor expansion of 0 in x 2.587 * [approximate]: Taking taylor expansion of (fma (/ x y) 1/2 (/ -1 x)) in (y x) around 0 2.587 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ -1 x)) in x 2.588 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ -1 x)) 2.588 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in x 2.588 * [taylor]: Taking taylor expansion of (/ x y) in x 2.588 * [taylor]: Taking taylor expansion of x in x 2.588 * [taylor]: Taking taylor expansion of y in x 2.588 * [taylor]: Taking taylor expansion of 1/2 in x 2.588 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.588 * [taylor]: Taking taylor expansion of -1 in x 2.588 * [taylor]: Taking taylor expansion of x in x 2.588 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ -1 x)) in y 2.588 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ -1 x)) 2.588 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in y 2.588 * [taylor]: Taking taylor expansion of (/ x y) in y 2.588 * [taylor]: Taking taylor expansion of x in y 2.588 * [taylor]: Taking taylor expansion of y in y 2.588 * [taylor]: Taking taylor expansion of 1/2 in y 2.588 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.588 * [taylor]: Taking taylor expansion of -1 in y 2.588 * [taylor]: Taking taylor expansion of x in y 2.588 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ -1 x)) in y 2.588 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ -1 x)) 2.588 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in y 2.588 * [taylor]: Taking taylor expansion of (/ x y) in y 2.588 * [taylor]: Taking taylor expansion of x in y 2.588 * [taylor]: Taking taylor expansion of y in y 2.588 * [taylor]: Taking taylor expansion of 1/2 in y 2.589 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.589 * [taylor]: Taking taylor expansion of -1 in y 2.589 * [taylor]: Taking taylor expansion of x in y 2.589 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.589 * [taylor]: Taking taylor expansion of 1/2 in x 2.589 * [taylor]: Taking taylor expansion of x in x 2.590 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.590 * [taylor]: Taking taylor expansion of x in x 2.592 * [taylor]: Taking taylor expansion of 0 in x 2.595 * [taylor]: Taking taylor expansion of 0 in x 2.598 * [taylor]: Taking taylor expansion of 0 in x 2.599 * * * [progress]: simplifying candidates 2.599 * [simplify]: Simplifying using # : (expm1 (fma (/ y x) 1/2 x)) (log1p (fma (/ y x) 1/2 x)) (* (/ y x) 1/2) (log (fma (/ y x) 1/2 x)) (exp (fma (/ y x) 1/2 x)) (* (cbrt (fma (/ y x) 1/2 x)) (cbrt (fma (/ y x) 1/2 x))) (cbrt (fma (/ y x) 1/2 x)) (* (* (fma (/ y x) 1/2 x) (fma (/ y x) 1/2 x)) (fma (/ y x) 1/2 x)) (sqrt (fma (/ y x) 1/2 x)) (sqrt (fma (/ y x) 1/2 x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 2.600 * * [simplify]: iteration 0 : 17 enodes (cost 110 ) 2.602 * * [simplify]: iteration 1 : 23 enodes (cost 107 ) 2.605 * * [simplify]: iteration 2 : 53 enodes (cost 95 ) 2.615 * * [simplify]: iteration 3 : 141 enodes (cost 95 ) 2.648 * * [simplify]: iteration 4 : 490 enodes (cost 95 ) 2.805 * * [simplify]: iteration 5 : 1936 enodes (cost 95 ) 3.547 * * [simplify]: iteration done : 5001 enodes (cost 95 ) 3.547 * [simplify]: Simplified to: (expm1 (fma (/ y x) 1/2 x)) (log1p (fma (/ y x) 1/2 x)) (* (/ y x) 1/2) (log (fma (/ y x) 1/2 x)) (exp (fma (/ y x) 1/2 x)) (* (cbrt (fma (/ y x) 1/2 x)) (cbrt (fma (/ y x) 1/2 x))) (cbrt (fma (/ y x) 1/2 x)) (pow (fma (/ y x) 1/2 x) 3) (sqrt (fma (/ y x) 1/2 x)) (sqrt (fma (/ y x) 1/2 x)) (fma (/ y x) 1/2 x) (fma (/ y x) 1/2 x) (fma (/ y x) 1/2 x) 3.547 * * * [progress]: adding candidates to table 3.570 * [progress]: [Phase 3 of 3] Extracting. 3.570 * * [regime]: Finding splitpoints for: (# # #) 3.570 * * * [regime-changes]: Trying 2 branch expressions: (y x) 3.570 * * * * [regimes]: Trying to branch on y from (# # #) 3.598 * * * * [regimes]: Trying to branch on x from (# # #) 3.621 * * * [regime]: Found split indices: #