600.014 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.016 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.017 * * [simplify]: iteration 1 : 7 enodes (cost 5 ) 0.017 * * [simplify]: iteration done : 7 enodes (cost 5 ) 0.017 * [simplify]: Simplified to: (sqrt (fma x x y)) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.049 * * * [progress]: generating series expansions 0.049 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.049 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y 0.050 * [taylor]: Taking taylor expansion of (fma x x y) in y 0.050 * [taylor]: Rewrote expression to (+ (* x x) y) 0.050 * [taylor]: Taking taylor expansion of (* x x) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.051 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.051 * [taylor]: Rewrote expression to (+ (* x x) y) 0.051 * [taylor]: Taking taylor expansion of (* x x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.052 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.052 * [taylor]: Rewrote expression to (+ (* x x) y) 0.052 * [taylor]: Taking taylor expansion of (* x x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.055 * [taylor]: Taking taylor expansion of 1/2 in y 0.055 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.060 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y 0.060 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y 0.060 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.060 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.061 * [taylor]: Taking taylor expansion of y in y 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 x in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.062 * [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 y in x 0.065 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.065 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.066 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.066 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of 1 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.071 * [taylor]: Taking taylor expansion of 1/2 in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.077 * [taylor]: Taking taylor expansion of -1/8 in y 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.078 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0 0.078 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y 0.078 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y 0.078 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.078 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.078 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.078 * [taylor]: Taking taylor expansion of -1 in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.079 * [taylor]: Taking taylor expansion of -1 in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.079 * [taylor]: Taking taylor expansion of -1 in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.080 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.080 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.080 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.080 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.080 * [taylor]: Taking taylor expansion of -1 in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.081 * [taylor]: Taking taylor expansion of -1 in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.081 * [taylor]: Taking taylor expansion of -1 in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.084 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.084 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.084 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.084 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.084 * [taylor]: Taking taylor expansion of -1 in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.084 * [taylor]: Taking taylor expansion of -1 in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.084 * [taylor]: Taking taylor expansion of -1 in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.087 * [taylor]: Taking taylor expansion of 1 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.090 * [taylor]: Taking taylor expansion of -1/2 in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.096 * [taylor]: Taking taylor expansion of -1/8 in y 0.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.097 * * * [progress]: simplifying candidates 0.098 * [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)))) 0.099 * * [simplify]: iteration 0 : 37 enodes (cost 145 ) 0.106 * * [simplify]: iteration 1 : 75 enodes (cost 127 ) 0.117 * * [simplify]: iteration 2 : 166 enodes (cost 120 ) 0.170 * * [simplify]: iteration 3 : 421 enodes (cost 118 ) 0.389 * * [simplify]: iteration 4 : 970 enodes (cost 117 ) 1.027 * * [simplify]: iteration 5 : 2289 enodes (cost 116 ) 2.213 * * [simplify]: iteration done : 5000 enodes (cost 116 ) 2.214 * [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 y y (- (fma x x y)))) (fma (/ y x) 1/2 x) (- (fma (/ y x) 1/2 x)) 2.214 * * * [progress]: adding candidates to table 2.259 * * [progress]: iteration 2 / 4 2.259 * * * [progress]: picking best candidate 2.262 * * * * [pick]: Picked # 2.262 * * * [progress]: localizing error 2.267 * * * [progress]: generating rewritten candidates 2.267 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 2.268 * * * [progress]: generating series expansions 2.268 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 2.268 * [approximate]: Taking taylor expansion of (fma (/ y x) 1/2 x) in (y x) around 0 2.268 * [taylor]: Taking taylor expansion of (fma (/ y x) 1/2 x) in x 2.268 * [taylor]: Rewrote expression to (+ (* (/ y x) 1/2) x) 2.268 * [taylor]: Taking taylor expansion of (* (/ y x) 1/2) in x 2.268 * [taylor]: Taking taylor expansion of (/ y x) in x 2.268 * [taylor]: Taking taylor expansion of y in x 2.268 * [taylor]: Taking taylor expansion of x in x 2.268 * [taylor]: Taking taylor expansion of 1/2 in x 2.268 * [taylor]: Taking taylor expansion of x in x 2.268 * [taylor]: Taking taylor expansion of (fma (/ y x) 1/2 x) in y 2.268 * [taylor]: Rewrote expression to (+ (* (/ y x) 1/2) x) 2.268 * [taylor]: Taking taylor expansion of (* (/ y x) 1/2) in y 2.268 * [taylor]: Taking taylor expansion of (/ y x) in y 2.268 * [taylor]: Taking taylor expansion of y in y 2.268 * [taylor]: Taking taylor expansion of x in y 2.268 * [taylor]: Taking taylor expansion of 1/2 in y 2.268 * [taylor]: Taking taylor expansion of x in y 2.268 * [taylor]: Taking taylor expansion of (fma (/ y x) 1/2 x) in y 2.269 * [taylor]: Rewrote expression to (+ (* (/ y x) 1/2) x) 2.269 * [taylor]: Taking taylor expansion of (* (/ y x) 1/2) in y 2.269 * [taylor]: Taking taylor expansion of (/ y x) in y 2.269 * [taylor]: Taking taylor expansion of y in y 2.269 * [taylor]: Taking taylor expansion of x in y 2.269 * [taylor]: Taking taylor expansion of 1/2 in y 2.269 * [taylor]: Taking taylor expansion of x in y 2.269 * [taylor]: Taking taylor expansion of x in x 2.269 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 2.269 * [taylor]: Taking taylor expansion of 1/2 in x 2.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.269 * [taylor]: Taking taylor expansion of x in x 2.270 * [taylor]: Taking taylor expansion of 0 in x 2.272 * [taylor]: Taking taylor expansion of 0 in x 2.274 * [taylor]: Taking taylor expansion of 0 in x 2.275 * [approximate]: Taking taylor expansion of (fma (/ x y) 1/2 (/ 1 x)) in (y x) around 0 2.275 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ 1 x)) in x 2.275 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ 1 x)) 2.275 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in x 2.275 * [taylor]: Taking taylor expansion of (/ x y) in x 2.275 * [taylor]: Taking taylor expansion of x in x 2.275 * [taylor]: Taking taylor expansion of y in x 2.275 * [taylor]: Taking taylor expansion of 1/2 in x 2.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.275 * [taylor]: Taking taylor expansion of x in x 2.276 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ 1 x)) in y 2.276 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ 1 x)) 2.276 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in y 2.276 * [taylor]: Taking taylor expansion of (/ x y) in y 2.276 * [taylor]: Taking taylor expansion of x in y 2.276 * [taylor]: Taking taylor expansion of y in y 2.276 * [taylor]: Taking taylor expansion of 1/2 in y 2.276 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.276 * [taylor]: Taking taylor expansion of x in y 2.276 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ 1 x)) in y 2.276 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ 1 x)) 2.276 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in y 2.276 * [taylor]: Taking taylor expansion of (/ x y) in y 2.276 * [taylor]: Taking taylor expansion of x in y 2.276 * [taylor]: Taking taylor expansion of y in y 2.276 * [taylor]: Taking taylor expansion of 1/2 in y 2.276 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.276 * [taylor]: Taking taylor expansion of x in y 2.276 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.276 * [taylor]: Taking taylor expansion of 1/2 in x 2.276 * [taylor]: Taking taylor expansion of x in x 2.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.277 * [taylor]: Taking taylor expansion of x in x 2.280 * [taylor]: Taking taylor expansion of 0 in x 2.283 * [taylor]: Taking taylor expansion of 0 in x 2.286 * [taylor]: Taking taylor expansion of 0 in x 2.287 * [approximate]: Taking taylor expansion of (fma (/ x y) 1/2 (/ -1 x)) in (y x) around 0 2.287 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ -1 x)) in x 2.287 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ -1 x)) 2.287 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in x 2.287 * [taylor]: Taking taylor expansion of (/ x y) in x 2.287 * [taylor]: Taking taylor expansion of x in x 2.287 * [taylor]: Taking taylor expansion of y in x 2.287 * [taylor]: Taking taylor expansion of 1/2 in x 2.287 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.287 * [taylor]: Taking taylor expansion of -1 in x 2.287 * [taylor]: Taking taylor expansion of x in x 2.288 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ -1 x)) in y 2.288 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ -1 x)) 2.288 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in y 2.288 * [taylor]: Taking taylor expansion of (/ x y) in y 2.288 * [taylor]: Taking taylor expansion of x in y 2.288 * [taylor]: Taking taylor expansion of y in y 2.288 * [taylor]: Taking taylor expansion of 1/2 in y 2.288 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.288 * [taylor]: Taking taylor expansion of -1 in y 2.288 * [taylor]: Taking taylor expansion of x in y 2.288 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ -1 x)) in y 2.288 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ -1 x)) 2.288 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in y 2.288 * [taylor]: Taking taylor expansion of (/ x y) in y 2.288 * [taylor]: Taking taylor expansion of x in y 2.288 * [taylor]: Taking taylor expansion of y in y 2.288 * [taylor]: Taking taylor expansion of 1/2 in y 2.288 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.288 * [taylor]: Taking taylor expansion of -1 in y 2.288 * [taylor]: Taking taylor expansion of x in y 2.288 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.288 * [taylor]: Taking taylor expansion of 1/2 in x 2.288 * [taylor]: Taking taylor expansion of x in x 2.289 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.289 * [taylor]: Taking taylor expansion of x in x 2.291 * [taylor]: Taking taylor expansion of 0 in x 2.294 * [taylor]: Taking taylor expansion of 0 in x 2.298 * [taylor]: Taking taylor expansion of 0 in x 2.299 * * * [progress]: simplifying candidates 2.299 * [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))) 2.300 * * [simplify]: iteration 0 : 17 enodes (cost 110 ) 2.302 * * [simplify]: iteration 1 : 23 enodes (cost 107 ) 2.305 * * [simplify]: iteration 2 : 50 enodes (cost 95 ) 2.314 * * [simplify]: iteration 3 : 137 enodes (cost 95 ) 2.353 * * [simplify]: iteration 4 : 481 enodes (cost 95 ) 2.687 * * [simplify]: iteration 5 : 1844 enodes (cost 95 ) 4.388 * * [simplify]: iteration done : 5001 enodes (cost 95 ) 4.388 * [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) 4.388 * * * [progress]: adding candidates to table 4.416 * * [progress]: iteration 3 / 4 4.416 * * * [progress]: picking best candidate 4.418 * * * * [pick]: Picked # 4.418 * * * [progress]: localizing error 4.422 * * * [progress]: generating rewritten candidates 4.422 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.423 * * * [progress]: generating series expansions 4.423 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.423 * [approximate]: Taking taylor expansion of (fma (/ y x) 1/2 x) in (y x) around 0 4.423 * [taylor]: Taking taylor expansion of (fma (/ y x) 1/2 x) in x 4.423 * [taylor]: Rewrote expression to (+ (* (/ y x) 1/2) x) 4.423 * [taylor]: Taking taylor expansion of (* (/ y x) 1/2) in x 4.423 * [taylor]: Taking taylor expansion of (/ y x) in x 4.423 * [taylor]: Taking taylor expansion of y in x 4.423 * [taylor]: Taking taylor expansion of x in x 4.423 * [taylor]: Taking taylor expansion of 1/2 in x 4.423 * [taylor]: Taking taylor expansion of x in x 4.423 * [taylor]: Taking taylor expansion of (fma (/ y x) 1/2 x) in y 4.423 * [taylor]: Rewrote expression to (+ (* (/ y x) 1/2) x) 4.423 * [taylor]: Taking taylor expansion of (* (/ y x) 1/2) in y 4.423 * [taylor]: Taking taylor expansion of (/ y x) in y 4.423 * [taylor]: Taking taylor expansion of y in y 4.423 * [taylor]: Taking taylor expansion of x in y 4.423 * [taylor]: Taking taylor expansion of 1/2 in y 4.423 * [taylor]: Taking taylor expansion of x in y 4.424 * [taylor]: Taking taylor expansion of (fma (/ y x) 1/2 x) in y 4.424 * [taylor]: Rewrote expression to (+ (* (/ y x) 1/2) x) 4.424 * [taylor]: Taking taylor expansion of (* (/ y x) 1/2) in y 4.424 * [taylor]: Taking taylor expansion of (/ y x) in y 4.424 * [taylor]: Taking taylor expansion of y in y 4.424 * [taylor]: Taking taylor expansion of x in y 4.424 * [taylor]: Taking taylor expansion of 1/2 in y 4.424 * [taylor]: Taking taylor expansion of x in y 4.424 * [taylor]: Taking taylor expansion of x in x 4.424 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 4.424 * [taylor]: Taking taylor expansion of 1/2 in x 4.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.424 * [taylor]: Taking taylor expansion of x in x 4.425 * [taylor]: Taking taylor expansion of 0 in x 4.427 * [taylor]: Taking taylor expansion of 0 in x 4.429 * [taylor]: Taking taylor expansion of 0 in x 4.430 * [approximate]: Taking taylor expansion of (fma (/ x y) 1/2 (/ 1 x)) in (y x) around 0 4.430 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ 1 x)) in x 4.430 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ 1 x)) 4.430 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in x 4.430 * [taylor]: Taking taylor expansion of (/ x y) in x 4.430 * [taylor]: Taking taylor expansion of x in x 4.430 * [taylor]: Taking taylor expansion of y in x 4.430 * [taylor]: Taking taylor expansion of 1/2 in x 4.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.430 * [taylor]: Taking taylor expansion of x in x 4.431 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ 1 x)) in y 4.431 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ 1 x)) 4.431 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in y 4.431 * [taylor]: Taking taylor expansion of (/ x y) in y 4.431 * [taylor]: Taking taylor expansion of x in y 4.431 * [taylor]: Taking taylor expansion of y in y 4.431 * [taylor]: Taking taylor expansion of 1/2 in y 4.431 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.431 * [taylor]: Taking taylor expansion of x in y 4.431 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ 1 x)) in y 4.431 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ 1 x)) 4.431 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in y 4.431 * [taylor]: Taking taylor expansion of (/ x y) in y 4.431 * [taylor]: Taking taylor expansion of x in y 4.431 * [taylor]: Taking taylor expansion of y in y 4.431 * [taylor]: Taking taylor expansion of 1/2 in y 4.431 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.431 * [taylor]: Taking taylor expansion of x in y 4.431 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.431 * [taylor]: Taking taylor expansion of 1/2 in x 4.431 * [taylor]: Taking taylor expansion of x in x 4.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.432 * [taylor]: Taking taylor expansion of x in x 4.434 * [taylor]: Taking taylor expansion of 0 in x 4.437 * [taylor]: Taking taylor expansion of 0 in x 4.440 * [taylor]: Taking taylor expansion of 0 in x 4.441 * [approximate]: Taking taylor expansion of (fma (/ x y) 1/2 (/ -1 x)) in (y x) around 0 4.442 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ -1 x)) in x 4.442 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ -1 x)) 4.442 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in x 4.442 * [taylor]: Taking taylor expansion of (/ x y) in x 4.442 * [taylor]: Taking taylor expansion of x in x 4.442 * [taylor]: Taking taylor expansion of y in x 4.442 * [taylor]: Taking taylor expansion of 1/2 in x 4.442 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.442 * [taylor]: Taking taylor expansion of -1 in x 4.442 * [taylor]: Taking taylor expansion of x in x 4.442 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ -1 x)) in y 4.442 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ -1 x)) 4.442 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in y 4.442 * [taylor]: Taking taylor expansion of (/ x y) in y 4.442 * [taylor]: Taking taylor expansion of x in y 4.442 * [taylor]: Taking taylor expansion of y in y 4.442 * [taylor]: Taking taylor expansion of 1/2 in y 4.442 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.442 * [taylor]: Taking taylor expansion of -1 in y 4.442 * [taylor]: Taking taylor expansion of x in y 4.442 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ -1 x)) in y 4.443 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ -1 x)) 4.443 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in y 4.443 * [taylor]: Taking taylor expansion of (/ x y) in y 4.443 * [taylor]: Taking taylor expansion of x in y 4.443 * [taylor]: Taking taylor expansion of y in y 4.443 * [taylor]: Taking taylor expansion of 1/2 in y 4.443 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.443 * [taylor]: Taking taylor expansion of -1 in y 4.443 * [taylor]: Taking taylor expansion of x in y 4.443 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.443 * [taylor]: Taking taylor expansion of 1/2 in x 4.443 * [taylor]: Taking taylor expansion of x in x 4.444 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 4.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.444 * [taylor]: Taking taylor expansion of x in x 4.446 * [taylor]: Taking taylor expansion of 0 in x 4.449 * [taylor]: Taking taylor expansion of 0 in x 4.452 * [taylor]: Taking taylor expansion of 0 in x 4.453 * * * [progress]: simplifying candidates 4.454 * [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))) 4.455 * * [simplify]: iteration 0 : 17 enodes (cost 110 ) 4.457 * * [simplify]: iteration 1 : 23 enodes (cost 107 ) 4.460 * * [simplify]: iteration 2 : 50 enodes (cost 95 ) 4.469 * * [simplify]: iteration 3 : 137 enodes (cost 95 ) 4.508 * * [simplify]: iteration 4 : 481 enodes (cost 95 ) 4.836 * * [simplify]: iteration 5 : 1844 enodes (cost 95 ) 6.527 * * [simplify]: iteration done : 5001 enodes (cost 95 ) 6.527 * [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) 6.527 * * * [progress]: adding candidates to table 6.555 * [progress]: [Phase 3 of 3] Extracting. 6.555 * * [regime]: Finding splitpoints for: (# # #) 6.555 * * * [regime-changes]: Trying 2 branch expressions: (y x) 6.555 * * * * [regimes]: Trying to branch on y from (# # #) 6.600 * * * * [regimes]: Trying to branch on x from (# # #) 6.623 * * * [regime]: Found split indices: #