21.219 * [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)) 0.019 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 7 enodes (cost 3 ) 0.020 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.031 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.032 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.032 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.033 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.033 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.037 * [taylor]: Taking taylor expansion of 1/2 in y 0.037 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.042 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.043 * [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 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of 1 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.054 * [taylor]: Taking taylor expansion of 1/2 in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.058 * [taylor]: Taking taylor expansion of -1/8 in y 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.060 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.060 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.062 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.064 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of 1 in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.069 * [taylor]: Taking taylor expansion of -1/2 in y 0.069 * [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 0.075 * * * [progress]: simplifying candidates 0.076 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) y))) (log1p (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* 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 : 126 enodes (cost 102 ) 0.083 * * [simplify]: iteration 1 : 378 enodes (cost 95 ) 0.090 * * [simplify]: iteration 2 : 1147 enodes (cost 92 ) 0.118 * * [simplify]: iteration 3 : 4567 enodes (cost 90 ) 0.228 * * [simplify]: iteration 4 : 5001 enodes (cost 90 ) 0.230 * [simplify]: Simplified to: (expm1 (sqrt (+ (* x x) y))) (log1p (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (hypot x (pow y 1/2)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (hypot x (pow y 1/2)) (hypot (pow y 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* +nan.0 (fma (- x) x (fma y y (- y)))) (fma 1/2 (/ y x) x) (- (+ x (* 1/2 (/ y x)))) 0.230 * * * [progress]: adding candidates to table 0.279 * * [progress]: iteration 2 / 4 0.279 * * * [progress]: picking best candidate 0.281 * * * * [pick]: Picked # 0.282 * * * [progress]: localizing error 0.286 * * * [progress]: generating rewritten candidates 0.286 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.287 * * * [progress]: generating series expansions 0.287 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.287 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) x) in (y x) around 0 0.287 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in x 0.287 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 0.287 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.287 * [taylor]: Taking taylor expansion of 1/2 in x 0.287 * [taylor]: Taking taylor expansion of (/ y x) in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y 0.287 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 0.287 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.287 * [taylor]: Taking taylor expansion of 1/2 in y 0.287 * [taylor]: Taking taylor expansion of (/ y x) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y 0.288 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 0.288 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.288 * [taylor]: Taking taylor expansion of 1/2 in y 0.288 * [taylor]: Taking taylor expansion of (/ y x) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.288 * [taylor]: Taking taylor expansion of 1/2 in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of 0 in x 0.292 * [taylor]: Taking taylor expansion of 0 in x 0.294 * [taylor]: Taking taylor expansion of 0 in x 0.295 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in (y x) around 0 0.295 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in x 0.295 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 0.295 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.296 * [taylor]: Taking taylor expansion of 1/2 in x 0.296 * [taylor]: Taking taylor expansion of (/ x y) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y 0.296 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 0.296 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.296 * [taylor]: Taking taylor expansion of 1/2 in y 0.296 * [taylor]: Taking taylor expansion of (/ x y) in y 0.296 * [taylor]: Taking taylor expansion of x in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.296 * [taylor]: Taking taylor expansion of x in y 0.296 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y 0.296 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 0.296 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.296 * [taylor]: Taking taylor expansion of 1/2 in y 0.296 * [taylor]: Taking taylor expansion of (/ x y) in y 0.296 * [taylor]: Taking taylor expansion of x in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.296 * [taylor]: Taking taylor expansion of x in y 0.297 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.297 * [taylor]: Taking taylor expansion of 1/2 in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of 0 in x 0.303 * [taylor]: Taking taylor expansion of 0 in x 0.306 * [taylor]: Taking taylor expansion of 0 in x 0.307 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in (y x) around 0 0.307 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in x 0.307 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 0.307 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.307 * [taylor]: Taking taylor expansion of 1/2 in x 0.307 * [taylor]: Taking taylor expansion of (/ x y) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of y in x 0.307 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.307 * [taylor]: Taking taylor expansion of -1 in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y 0.308 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 0.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.308 * [taylor]: Taking taylor expansion of 1/2 in y 0.308 * [taylor]: Taking taylor expansion of (/ x y) in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.308 * [taylor]: Taking taylor expansion of -1 in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y 0.308 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 0.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.308 * [taylor]: Taking taylor expansion of 1/2 in y 0.308 * [taylor]: Taking taylor expansion of (/ x y) in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.308 * [taylor]: Taking taylor expansion of -1 in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.308 * [taylor]: Taking taylor expansion of 1/2 in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of 0 in x 0.315 * [taylor]: Taking taylor expansion of 0 in x 0.319 * [taylor]: Taking taylor expansion of 0 in x 0.320 * * * [progress]: simplifying candidates 0.320 * [simplify]: Simplifying using # : (expm1 (fma 1/2 (/ y x) x)) (log1p (fma 1/2 (/ y x) x)) (* 1/2 (/ y x)) (log (fma 1/2 (/ y x) x)) (exp (fma 1/2 (/ y x) x)) (* (cbrt (fma 1/2 (/ y x) x)) (cbrt (fma 1/2 (/ y x) x))) (cbrt (fma 1/2 (/ y x) x)) (* (* (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x)) (fma 1/2 (/ y x) x)) (sqrt (fma 1/2 (/ y x) x)) (sqrt (fma 1/2 (/ y x) x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.323 * * [simplify]: iteration 0 : 21 enodes (cost 44 ) 0.324 * * [simplify]: iteration 1 : 48 enodes (cost 39 ) 0.326 * * [simplify]: iteration 2 : 156 enodes (cost 39 ) 0.330 * * [simplify]: iteration 3 : 585 enodes (cost 39 ) 0.344 * * [simplify]: iteration 4 : 2784 enodes (cost 39 ) 0.398 * * [simplify]: iteration 5 : 5001 enodes (cost 39 ) 0.399 * [simplify]: Simplified to: (expm1 (fma 1/2 (/ y x) x)) (log1p (fma 1/2 (/ y x) x)) (* 1/2 (/ y x)) (log (fma 1/2 (/ y x) x)) (exp (fma 1/2 (/ y x) x)) (* (cbrt (fma 1/2 (/ y x) x)) (cbrt (fma 1/2 (/ y x) x))) (cbrt (fma 1/2 (/ y x) x)) (pow (fma 1/2 (/ y x) x) 3) (sqrt (fma 1/2 (/ y x) x)) (sqrt (fma 1/2 (/ y x) x)) (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x) 0.399 * * * [progress]: adding candidates to table 0.424 * * [progress]: iteration 3 / 4 0.424 * * * [progress]: picking best candidate 0.425 * * * * [pick]: Picked # 0.425 * * * [progress]: localizing error 0.431 * * * [progress]: generating rewritten candidates 0.431 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.434 * * * [progress]: generating series expansions 0.434 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.434 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 0.434 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.434 * [taylor]: Taking taylor expansion of x in y 0.434 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.434 * [taylor]: Taking taylor expansion of 1/2 in y 0.434 * [taylor]: Taking taylor expansion of (/ y x) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of x in y 0.434 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.434 * [taylor]: Taking taylor expansion of 1/2 in x 0.435 * [taylor]: Taking taylor expansion of (/ y x) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.435 * [taylor]: Taking taylor expansion of 1/2 in x 0.435 * [taylor]: Taking taylor expansion of (/ y x) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.435 * [taylor]: Taking taylor expansion of 1/2 in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [taylor]: Taking taylor expansion of 1 in y 0.441 * [taylor]: Taking taylor expansion of 0 in y 0.442 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.442 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.442 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.442 * [taylor]: Taking taylor expansion of 1/2 in y 0.442 * [taylor]: Taking taylor expansion of (/ x y) in y 0.442 * [taylor]: Taking taylor expansion of x in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.442 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.442 * [taylor]: Taking taylor expansion of x in y 0.442 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.442 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.442 * [taylor]: Taking taylor expansion of 1/2 in x 0.442 * [taylor]: Taking taylor expansion of (/ x y) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.443 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.443 * [taylor]: Taking taylor expansion of 1/2 in x 0.443 * [taylor]: Taking taylor expansion of (/ x y) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of 1 in y 0.444 * [taylor]: Taking taylor expansion of 0 in y 0.445 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.445 * [taylor]: Taking taylor expansion of 1/2 in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.449 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.449 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 0.449 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.449 * [taylor]: Taking taylor expansion of 1/2 in y 0.449 * [taylor]: Taking taylor expansion of (/ x y) in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.449 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.449 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.449 * [taylor]: Taking taylor expansion of 1/2 in x 0.449 * [taylor]: Taking taylor expansion of (/ x y) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.449 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.449 * [taylor]: Taking taylor expansion of 1/2 in x 0.449 * [taylor]: Taking taylor expansion of (/ x y) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of -1 in y 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.452 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.452 * [taylor]: Taking taylor expansion of 1/2 in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.454 * [taylor]: Taking taylor expansion of 0 in y 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.456 * * * [progress]: simplifying candidates 0.457 * [simplify]: Simplifying using # : (expm1 (+ x (* 1/2 (/ y x)))) (log1p (+ x (* 1/2 (/ y x)))) (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.461 * * [simplify]: iteration 0 : 88 enodes (cost 84 ) 0.464 * * [simplify]: iteration 1 : 322 enodes (cost 70 ) 0.472 * * [simplify]: iteration 2 : 1253 enodes (cost 70 ) 0.499 * * [simplify]: iteration 3 : 4552 enodes (cost 70 ) 0.577 * * [simplify]: iteration 4 : 5001 enodes (cost 70 ) 0.579 * [simplify]: Simplified to: (expm1 (+ x (* 1/2 (/ y x)))) (log1p (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (pow (fma 1/2 (/ y x) x) 3) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (fma 1/8 (pow (/ y x) 3) (pow x 3)) (fma (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x) (* x x)) (* (- x (* 1/2 (/ y x))) (fma 1/2 (/ y x) x)) (- x (* 1/2 (/ y x))) (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x) 0.579 * * * [progress]: adding candidates to table 0.617 * [progress]: [Phase 3 of 3] Extracting. 0.617 * * [regime]: Finding splitpoints for: (# # #) 0.617 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 0.617 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 0.632 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # #) 0.653 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # #) 0.672 * * * * [regimes]: Trying to branch on y from (# # #) 0.696 * * * * [regimes]: Trying to branch on x from (# # #) 0.719 * * * [regime]: Found split indices: #