24.672 * [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) 0.028 * [taylor]: Taking taylor expansion of (* x x) in y 0.028 * [taylor]: Taking taylor expansion of x in y 0.028 * [taylor]: Taking taylor expansion of x in y 0.028 * [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 0.030 * [taylor]: Rewrote expression to (+ (* x x) y) 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 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 0.041 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.041 * [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 0.056 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.056 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.056 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.056 * [taylor]: Taking taylor expansion of -1 in y 0.056 * [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 0.058 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.058 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.058 * [taylor]: Taking taylor expansion of -1 in x 0.058 * [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 0.061 * [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 0.062 * [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 0.062 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.062 * [taylor]: Taking taylor expansion of -1 in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of 1 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.067 * [taylor]: Taking taylor expansion of -1/2 in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.073 * [taylor]: Taking taylor expansion of -1/8 in y 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.075 * * * [progress]: simplifying candidates 0.078 * [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)))) 0.079 * * [simplify]: iteration 0 : 37 enodes (cost 145 ) 0.086 * * [simplify]: iteration 1 : 75 enodes (cost 127 ) 0.098 * * [simplify]: iteration 2 : 175 enodes (cost 120 ) 0.145 * * [simplify]: iteration 3 : 494 enodes (cost 118 ) 0.343 * * [simplify]: iteration 4 : 1453 enodes (cost 117 ) 1.182 * * [simplify]: iteration done : 5001 enodes (cost 117 ) 1.183 * [simplify]: Simplified to: (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))) (pow (sqrt (fma x x y)) 3) (fabs (cbrt (fma x x y))) (sqrt (cbrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) 1 (sqrt (fma x x y)) 1/2 (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (* (- +nan.0) (fma x x (- y (pow y 2)))) (fma (/ y x) 1/2 x) (- (fma (/ y x) 1/2 x)) 1.183 * * * [progress]: adding candidates to table 1.227 * * [progress]: iteration 2 / 4 1.227 * * * [progress]: picking best candidate 1.230 * * * * [pick]: Picked # 1.230 * * * [progress]: localizing error 1.234 * * * [progress]: generating rewritten candidates 1.235 * * * [progress]: generating series expansions 1.235 * * * [progress]: simplifying candidates 1.235 * [simplify]: Simplifying using # : 1.236 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.236 * * [simplify]: iteration done : 0 enodes (cost 0 ) 1.236 * [simplify]: Simplified to: 1.236 * * * [progress]: adding candidates to table 1.236 * * [progress]: iteration 3 / 4 1.236 * * * [progress]: picking best candidate 1.237 * * * * [pick]: Picked # 1.237 * * * [progress]: localizing error 1.241 * * * [progress]: generating rewritten candidates 1.242 * * * [progress]: generating series expansions 1.242 * * * [progress]: simplifying candidates 1.242 * [simplify]: Simplifying using # : 1.243 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.243 * * [simplify]: iteration done : 0 enodes (cost 0 ) 1.243 * [simplify]: Simplified to: 1.243 * * * [progress]: adding candidates to table 1.243 * [progress]: [Phase 3 of 3] Extracting. 1.243 * * [regime]: Finding splitpoints for: (# # #) 1.243 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.243 * * * * [regimes]: Trying to branch on y from (# # #) 1.266 * * * * [regimes]: Trying to branch on x from (# # #) 1.290 * * * [regime]: Found split indices: #