25.646 * [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 ) 0.019 * * [simplify]: iteration done : 7 enodes (cost 5 ) 0.019 * [simplify]: Simplified to: (sqrt (fma x x y)) 0.021 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.030 * * * [progress]: generating series expansions 0.030 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.030 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0 0.030 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y 0.030 * [taylor]: Taking taylor expansion of (fma x x y) in y 0.031 * [taylor]: Rewrote expression to (+ (* x x) y) 0.031 * [taylor]: Taking taylor expansion of (* x x) in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.032 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.032 * [taylor]: Rewrote expression to (+ (* x x) y) 0.032 * [taylor]: Taking taylor expansion of (* x x) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.033 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.033 * [taylor]: Rewrote expression to (+ (* x x) y) 0.033 * [taylor]: Taking taylor expansion of (* x x) in x 0.033 * [taylor]: Taking taylor expansion of x 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 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [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 0.041 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y 0.041 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y 0.042 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.042 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 x) 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 (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.043 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.043 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.043 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.043 * [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 (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.047 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.047 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.047 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of 1 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.052 * [taylor]: Taking taylor expansion of 1/2 in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.061 * [taylor]: Taking taylor expansion of -1/8 in y 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.063 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y 0.063 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y 0.063 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.063 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.063 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.063 * [taylor]: Taking taylor expansion of -1 in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.063 * [taylor]: Taking taylor expansion of -1 in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.063 * [taylor]: Taking taylor expansion of -1 in y 0.063 * [taylor]: Taking taylor expansion of y in y 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 0.065 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.065 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.065 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.065 * [taylor]: Taking taylor expansion of -1 in x 0.065 * [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 -1 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 -1 in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.069 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.069 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.069 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.069 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.069 * [taylor]: Taking taylor expansion of -1 in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.069 * [taylor]: Taking taylor expansion of -1 in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.069 * [taylor]: Taking taylor expansion of -1 in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of 1 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.075 * [taylor]: Taking taylor expansion of -1/2 in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.081 * [taylor]: Taking taylor expansion of -1/8 in y 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.083 * * * [progress]: simplifying candidates 0.083 * [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)))) 0.084 * * [simplify]: iteration 0 : 37 enodes (cost 145 ) 0.091 * * [simplify]: iteration 1 : 75 enodes (cost 127 ) 0.102 * * [simplify]: iteration 2 : 166 enodes (cost 120 ) 0.152 * * [simplify]: iteration 3 : 421 enodes (cost 118 ) 0.380 * * [simplify]: iteration 4 : 970 enodes (cost 117 ) 1.045 * * [simplify]: iteration 5 : 2289 enodes (cost 116 ) 2.257 * * [simplify]: iteration done : 5000 enodes (cost 116 ) 2.257 * [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)) 2.257 * * * [progress]: adding candidates to table 2.305 * * [progress]: iteration 2 / 4 2.305 * * * [progress]: picking best candidate 2.311 * * * * [pick]: Picked # 2.311 * * * [progress]: localizing error 2.316 * * * [progress]: generating rewritten candidates 2.316 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.321 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.325 * * * [progress]: generating series expansions 2.325 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.325 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 2.325 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 2.325 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 2.325 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.325 * [taylor]: Taking taylor expansion of x in y 2.325 * [taylor]: Taking taylor expansion of y in y 2.326 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 2.326 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.326 * [taylor]: Taking taylor expansion of x in x 2.326 * [taylor]: Taking taylor expansion of y in x 2.326 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 2.326 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.326 * [taylor]: Taking taylor expansion of x in x 2.326 * [taylor]: Taking taylor expansion of y in x 2.327 * [taylor]: Taking taylor expansion of (sqrt y) in y 2.327 * [taylor]: Taking taylor expansion of y in y 2.331 * [taylor]: Taking taylor expansion of 0 in y 2.332 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 2.332 * [taylor]: Taking taylor expansion of 1/2 in y 2.332 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 2.332 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.332 * [taylor]: Taking taylor expansion of y in y 2.338 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 2.338 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 2.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 2.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.338 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.338 * [taylor]: Taking taylor expansion of x in y 2.338 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.338 * [taylor]: Taking taylor expansion of y in y 2.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 2.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.340 * [taylor]: Taking taylor expansion of x in x 2.340 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.340 * [taylor]: Taking taylor expansion of y in x 2.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 2.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.342 * [taylor]: Taking taylor expansion of x in x 2.343 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.343 * [taylor]: Taking taylor expansion of y in x 2.345 * [taylor]: Taking taylor expansion of 1 in y 2.345 * [taylor]: Taking taylor expansion of 0 in y 2.347 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.347 * [taylor]: Taking taylor expansion of 1/2 in y 2.347 * [taylor]: Taking taylor expansion of y in y 2.349 * [taylor]: Taking taylor expansion of 0 in y 2.352 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 2.352 * [taylor]: Taking taylor expansion of -1/8 in y 2.352 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.352 * [taylor]: Taking taylor expansion of y in y 2.354 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 2.354 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 2.354 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 2.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.354 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.354 * [taylor]: Taking taylor expansion of x in y 2.354 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.354 * [taylor]: Taking taylor expansion of y in y 2.356 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 2.356 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.356 * [taylor]: Taking taylor expansion of x in x 2.356 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.356 * [taylor]: Taking taylor expansion of y in x 2.358 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 2.358 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.358 * [taylor]: Taking taylor expansion of x in x 2.359 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.359 * [taylor]: Taking taylor expansion of y in x 2.361 * [taylor]: Taking taylor expansion of 1 in y 2.361 * [taylor]: Taking taylor expansion of 0 in y 2.363 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 2.363 * [taylor]: Taking taylor expansion of -1/2 in y 2.363 * [taylor]: Taking taylor expansion of y in y 2.365 * [taylor]: Taking taylor expansion of 0 in y 2.369 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 2.369 * [taylor]: Taking taylor expansion of -1/8 in y 2.369 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.369 * [taylor]: Taking taylor expansion of y in y 2.370 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.370 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 2.370 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 2.370 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.370 * [taylor]: Taking taylor expansion of x in y 2.370 * [taylor]: Taking taylor expansion of y in y 2.371 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.371 * [taylor]: Taking taylor expansion of x in x 2.371 * [taylor]: Taking taylor expansion of y in x 2.371 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.371 * [taylor]: Taking taylor expansion of x in x 2.371 * [taylor]: Taking taylor expansion of y in x 2.371 * [taylor]: Taking taylor expansion of y in y 2.371 * [taylor]: Taking taylor expansion of 0 in y 2.372 * [taylor]: Taking taylor expansion of 1 in y 2.372 * [taylor]: Taking taylor expansion of 0 in y 2.373 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 2.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 2.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.373 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.373 * [taylor]: Taking taylor expansion of x in y 2.373 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.373 * [taylor]: Taking taylor expansion of y in y 2.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.373 * [taylor]: Taking taylor expansion of x in x 2.374 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.374 * [taylor]: Taking taylor expansion of y in x 2.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.374 * [taylor]: Taking taylor expansion of x in x 2.374 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.374 * [taylor]: Taking taylor expansion of y in x 2.375 * [taylor]: Taking taylor expansion of 1 in y 2.376 * [taylor]: Taking taylor expansion of 0 in y 2.377 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.377 * [taylor]: Taking taylor expansion of y in y 2.379 * [taylor]: Taking taylor expansion of 0 in y 2.381 * [taylor]: Taking taylor expansion of 0 in y 2.381 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 2.381 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 2.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.381 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.381 * [taylor]: Taking taylor expansion of x in y 2.381 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.381 * [taylor]: Taking taylor expansion of y in y 2.382 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.382 * [taylor]: Taking taylor expansion of x in x 2.382 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.382 * [taylor]: Taking taylor expansion of y in x 2.382 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.382 * [taylor]: Taking taylor expansion of x in x 2.383 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.383 * [taylor]: Taking taylor expansion of y in x 2.383 * [taylor]: Taking taylor expansion of 1 in y 2.384 * [taylor]: Taking taylor expansion of 0 in y 2.386 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.386 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.386 * [taylor]: Taking taylor expansion of y in y 2.388 * [taylor]: Taking taylor expansion of 0 in y 2.391 * [taylor]: Taking taylor expansion of 0 in y 2.391 * * * [progress]: simplifying candidates 2.392 * [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))) (expm1 (+ (* x x) y)) (log1p (+ (* x x) y)) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* 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)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 2.394 * * [simplify]: iteration 0 : 63 enodes (cost 345 ) 2.406 * * [simplify]: iteration 1 : 152 enodes (cost 284 ) 2.441 * * [simplify]: iteration 2 : 426 enodes (cost 250 ) 2.633 * * [simplify]: iteration 3 : 1291 enodes (cost 248 ) 4.075 * * [simplify]: iteration 4 : 4277 enodes (cost 247 ) 5.837 * * [simplify]: iteration done : 5001 enodes (cost 247 ) 5.838 * [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)) (hypot (pow y 3/2) (pow x 3)) (sqrt (fma y (- y (* x x)) (pow x 4))) (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (expm1 (fma x x y)) (log1p (fma x x y)) (exp (fma x x y)) (log (fma x x y)) (exp (fma x x y)) (* (cbrt (fma x x y)) (cbrt (fma x x y))) (cbrt (fma x x y)) (pow (fma x x y) 3) (sqrt (fma x x y)) (sqrt (fma x x y)) (+ (pow y 3) (pow x 6)) (fma y (- y (* x x)) (pow x 4)) (- (pow x 4) (* y y)) (fma x x (- y)) (* (- (- (* y y) y) (pow x 2)) +nan.0) (fma 1/2 (/ y x) x) (- (fma 1/2 (/ y x) x)) (fma x x y) (fma x x y) (fma x x y) 5.838 * * * [progress]: adding candidates to table 5.921 * * [progress]: iteration 3 / 4 5.921 * * * [progress]: picking best candidate 5.925 * * * * [pick]: Picked # 5.925 * * * [progress]: localizing error 5.929 * * * [progress]: generating rewritten candidates 5.929 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 5.931 * * * [progress]: generating series expansions 5.931 * * * * [progress]: [ 1 / 1 ] generating series at (2) 5.931 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0 5.931 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y 5.931 * [taylor]: Taking taylor expansion of (fma x x y) in y 5.931 * [taylor]: Rewrote expression to (+ (* x x) y) 5.931 * [taylor]: Taking taylor expansion of (* x x) in y 5.931 * [taylor]: Taking taylor expansion of x in y 5.931 * [taylor]: Taking taylor expansion of x in y 5.931 * [taylor]: Taking taylor expansion of y in y 5.932 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 5.932 * [taylor]: Taking taylor expansion of (fma x x y) in x 5.932 * [taylor]: Rewrote expression to (+ (* x x) y) 5.932 * [taylor]: Taking taylor expansion of (* x x) in x 5.932 * [taylor]: Taking taylor expansion of x in x 5.932 * [taylor]: Taking taylor expansion of x in x 5.932 * [taylor]: Taking taylor expansion of y in x 5.933 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 5.933 * [taylor]: Taking taylor expansion of (fma x x y) in x 5.933 * [taylor]: Rewrote expression to (+ (* x x) y) 5.933 * [taylor]: Taking taylor expansion of (* x x) in x 5.933 * [taylor]: Taking taylor expansion of x in x 5.933 * [taylor]: Taking taylor expansion of x in x 5.933 * [taylor]: Taking taylor expansion of y in x 5.934 * [taylor]: Taking taylor expansion of (sqrt y) in y 5.934 * [taylor]: Taking taylor expansion of y in y 5.936 * [taylor]: Taking taylor expansion of 0 in y 5.937 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 5.937 * [taylor]: Taking taylor expansion of 1/2 in y 5.937 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 5.937 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.937 * [taylor]: Taking taylor expansion of y in y 5.942 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0 5.942 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y 5.942 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y 5.942 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 5.942 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 5.942 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.942 * [taylor]: Taking taylor expansion of x in y 5.942 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.942 * [taylor]: Taking taylor expansion of x in y 5.942 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.942 * [taylor]: Taking taylor expansion of y in y 5.944 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 5.944 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 5.944 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 5.944 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.944 * [taylor]: Taking taylor expansion of x in x 5.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.944 * [taylor]: Taking taylor expansion of x in x 5.945 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.945 * [taylor]: Taking taylor expansion of y in x 5.947 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 5.947 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 5.947 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 5.947 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.947 * [taylor]: Taking taylor expansion of x in x 5.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.948 * [taylor]: Taking taylor expansion of x in x 5.948 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.948 * [taylor]: Taking taylor expansion of y in x 5.951 * [taylor]: Taking taylor expansion of 1 in y 5.951 * [taylor]: Taking taylor expansion of 0 in y 5.953 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 5.953 * [taylor]: Taking taylor expansion of 1/2 in y 5.953 * [taylor]: Taking taylor expansion of y in y 5.956 * [taylor]: Taking taylor expansion of 0 in y 5.962 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 5.962 * [taylor]: Taking taylor expansion of -1/8 in y 5.962 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.962 * [taylor]: Taking taylor expansion of y in y 5.964 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0 5.964 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y 5.964 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y 5.964 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 5.964 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 5.964 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.964 * [taylor]: Taking taylor expansion of -1 in y 5.964 * [taylor]: Taking taylor expansion of x in y 5.964 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.964 * [taylor]: Taking taylor expansion of -1 in y 5.964 * [taylor]: Taking taylor expansion of x in y 5.964 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.964 * [taylor]: Taking taylor expansion of -1 in y 5.964 * [taylor]: Taking taylor expansion of y in y 5.966 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 5.966 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 5.966 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 5.966 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.966 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.966 * [taylor]: Taking taylor expansion of -1 in x 5.966 * [taylor]: Taking taylor expansion of x in x 5.966 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.966 * [taylor]: Taking taylor expansion of -1 in x 5.966 * [taylor]: Taking taylor expansion of x in x 5.967 * [taylor]: Taking taylor expansion of (/ -1 y) in x 5.967 * [taylor]: Taking taylor expansion of -1 in x 5.967 * [taylor]: Taking taylor expansion of y in x 5.970 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 5.970 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 5.970 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 5.970 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.970 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.970 * [taylor]: Taking taylor expansion of -1 in x 5.970 * [taylor]: Taking taylor expansion of x in x 5.970 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.970 * [taylor]: Taking taylor expansion of -1 in x 5.970 * [taylor]: Taking taylor expansion of x in x 5.970 * [taylor]: Taking taylor expansion of (/ -1 y) in x 5.971 * [taylor]: Taking taylor expansion of -1 in x 5.971 * [taylor]: Taking taylor expansion of y in x 5.973 * [taylor]: Taking taylor expansion of 1 in y 5.974 * [taylor]: Taking taylor expansion of 0 in y 5.976 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 5.976 * [taylor]: Taking taylor expansion of -1/2 in y 5.976 * [taylor]: Taking taylor expansion of y in y 5.979 * [taylor]: Taking taylor expansion of 0 in y 5.982 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 5.982 * [taylor]: Taking taylor expansion of -1/8 in y 5.982 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.982 * [taylor]: Taking taylor expansion of y in y 5.984 * * * [progress]: simplifying candidates 5.984 * [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)))) 5.986 * * [simplify]: iteration 0 : 37 enodes (cost 145 ) 5.992 * * [simplify]: iteration 1 : 75 enodes (cost 127 ) 6.003 * * [simplify]: iteration 2 : 166 enodes (cost 120 ) 6.055 * * [simplify]: iteration 3 : 421 enodes (cost 118 ) 6.279 * * [simplify]: iteration 4 : 970 enodes (cost 117 ) 6.921 * * [simplify]: iteration 5 : 2289 enodes (cost 116 ) 8.101 * * [simplify]: iteration done : 5000 enodes (cost 116 ) 8.101 * [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)) 8.101 * * * [progress]: adding candidates to table 8.141 * * [progress]: iteration 4 / 4 8.141 * * * [progress]: picking best candidate 8.144 * * * * [pick]: Picked # 8.144 * * * [progress]: localizing error 8.148 * * * [progress]: generating rewritten candidates 8.149 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 8.149 * * * [progress]: generating series expansions 8.149 * * * * [progress]: [ 1 / 1 ] generating series at (2) 8.149 * [approximate]: Taking taylor expansion of (fma (/ y x) 1/2 x) in (y x) around 0 8.149 * [taylor]: Taking taylor expansion of (fma (/ y x) 1/2 x) in x 8.150 * [taylor]: Rewrote expression to (+ (* (/ y x) 1/2) x) 8.150 * [taylor]: Taking taylor expansion of (* (/ y x) 1/2) in x 8.150 * [taylor]: Taking taylor expansion of (/ y x) in x 8.150 * [taylor]: Taking taylor expansion of y in x 8.150 * [taylor]: Taking taylor expansion of x in x 8.150 * [taylor]: Taking taylor expansion of 1/2 in x 8.150 * [taylor]: Taking taylor expansion of x in x 8.150 * [taylor]: Taking taylor expansion of (fma (/ y x) 1/2 x) in y 8.150 * [taylor]: Rewrote expression to (+ (* (/ y x) 1/2) x) 8.150 * [taylor]: Taking taylor expansion of (* (/ y x) 1/2) in y 8.150 * [taylor]: Taking taylor expansion of (/ y x) in y 8.150 * [taylor]: Taking taylor expansion of y in y 8.150 * [taylor]: Taking taylor expansion of x in y 8.150 * [taylor]: Taking taylor expansion of 1/2 in y 8.150 * [taylor]: Taking taylor expansion of x in y 8.150 * [taylor]: Taking taylor expansion of (fma (/ y x) 1/2 x) in y 8.150 * [taylor]: Rewrote expression to (+ (* (/ y x) 1/2) x) 8.150 * [taylor]: Taking taylor expansion of (* (/ y x) 1/2) in y 8.150 * [taylor]: Taking taylor expansion of (/ y x) in y 8.150 * [taylor]: Taking taylor expansion of y in y 8.150 * [taylor]: Taking taylor expansion of x in y 8.150 * [taylor]: Taking taylor expansion of 1/2 in y 8.150 * [taylor]: Taking taylor expansion of x in y 8.150 * [taylor]: Taking taylor expansion of x in x 8.150 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 8.150 * [taylor]: Taking taylor expansion of 1/2 in x 8.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.150 * [taylor]: Taking taylor expansion of x in x 8.152 * [taylor]: Taking taylor expansion of 0 in x 8.153 * [taylor]: Taking taylor expansion of 0 in x 8.155 * [taylor]: Taking taylor expansion of 0 in x 8.157 * [approximate]: Taking taylor expansion of (fma (/ x y) 1/2 (/ 1 x)) in (y x) around 0 8.157 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ 1 x)) in x 8.157 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ 1 x)) 8.157 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in x 8.157 * [taylor]: Taking taylor expansion of (/ x y) in x 8.157 * [taylor]: Taking taylor expansion of x in x 8.157 * [taylor]: Taking taylor expansion of y in x 8.157 * [taylor]: Taking taylor expansion of 1/2 in x 8.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.157 * [taylor]: Taking taylor expansion of x in x 8.157 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ 1 x)) in y 8.157 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ 1 x)) 8.157 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in y 8.157 * [taylor]: Taking taylor expansion of (/ x y) in y 8.157 * [taylor]: Taking taylor expansion of x in y 8.157 * [taylor]: Taking taylor expansion of y in y 8.158 * [taylor]: Taking taylor expansion of 1/2 in y 8.158 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.158 * [taylor]: Taking taylor expansion of x in y 8.158 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ 1 x)) in y 8.158 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ 1 x)) 8.158 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in y 8.158 * [taylor]: Taking taylor expansion of (/ x y) in y 8.158 * [taylor]: Taking taylor expansion of x in y 8.158 * [taylor]: Taking taylor expansion of y in y 8.158 * [taylor]: Taking taylor expansion of 1/2 in y 8.158 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.158 * [taylor]: Taking taylor expansion of x in y 8.158 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.158 * [taylor]: Taking taylor expansion of 1/2 in x 8.158 * [taylor]: Taking taylor expansion of x in x 8.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.159 * [taylor]: Taking taylor expansion of x in x 8.161 * [taylor]: Taking taylor expansion of 0 in x 8.164 * [taylor]: Taking taylor expansion of 0 in x 8.167 * [taylor]: Taking taylor expansion of 0 in x 8.168 * [approximate]: Taking taylor expansion of (fma (/ x y) 1/2 (/ -1 x)) in (y x) around 0 8.168 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ -1 x)) in x 8.168 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ -1 x)) 8.168 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in x 8.168 * [taylor]: Taking taylor expansion of (/ x y) in x 8.168 * [taylor]: Taking taylor expansion of x in x 8.168 * [taylor]: Taking taylor expansion of y in x 8.168 * [taylor]: Taking taylor expansion of 1/2 in x 8.168 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.168 * [taylor]: Taking taylor expansion of -1 in x 8.168 * [taylor]: Taking taylor expansion of x in x 8.169 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ -1 x)) in y 8.169 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ -1 x)) 8.169 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in y 8.169 * [taylor]: Taking taylor expansion of (/ x y) in y 8.169 * [taylor]: Taking taylor expansion of x in y 8.169 * [taylor]: Taking taylor expansion of y in y 8.169 * [taylor]: Taking taylor expansion of 1/2 in y 8.169 * [taylor]: Taking taylor expansion of (/ -1 x) in y 8.169 * [taylor]: Taking taylor expansion of -1 in y 8.169 * [taylor]: Taking taylor expansion of x in y 8.169 * [taylor]: Taking taylor expansion of (fma (/ x y) 1/2 (/ -1 x)) in y 8.169 * [taylor]: Rewrote expression to (+ (* (/ x y) 1/2) (/ -1 x)) 8.169 * [taylor]: Taking taylor expansion of (* (/ x y) 1/2) in y 8.169 * [taylor]: Taking taylor expansion of (/ x y) in y 8.169 * [taylor]: Taking taylor expansion of x in y 8.169 * [taylor]: Taking taylor expansion of y in y 8.169 * [taylor]: Taking taylor expansion of 1/2 in y 8.169 * [taylor]: Taking taylor expansion of (/ -1 x) in y 8.169 * [taylor]: Taking taylor expansion of -1 in y 8.169 * [taylor]: Taking taylor expansion of x in y 8.169 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.169 * [taylor]: Taking taylor expansion of 1/2 in x 8.169 * [taylor]: Taking taylor expansion of x in x 8.170 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.170 * [taylor]: Taking taylor expansion of x in x 8.173 * [taylor]: Taking taylor expansion of 0 in x 8.176 * [taylor]: Taking taylor expansion of 0 in x 8.182 * [taylor]: Taking taylor expansion of 0 in x 8.183 * * * [progress]: simplifying candidates 8.184 * [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))) 8.185 * * [simplify]: iteration 0 : 17 enodes (cost 110 ) 8.187 * * [simplify]: iteration 1 : 23 enodes (cost 107 ) 8.190 * * [simplify]: iteration 2 : 50 enodes (cost 95 ) 8.199 * * [simplify]: iteration 3 : 137 enodes (cost 95 ) 8.238 * * [simplify]: iteration 4 : 481 enodes (cost 95 ) 8.564 * * [simplify]: iteration 5 : 1844 enodes (cost 95 ) 10.471 * * [simplify]: iteration done : 5001 enodes (cost 95 ) 10.471 * [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) 10.471 * * * [progress]: adding candidates to table 10.494 * [progress]: [Phase 3 of 3] Extracting. 10.494 * * [regime]: Finding splitpoints for: (# # #) 10.494 * * * [regime-changes]: Trying 2 branch expressions: (y x) 10.494 * * * * [regimes]: Trying to branch on y from (# # #) 10.531 * * * * [regimes]: Trying to branch on x from (# # #) 10.555 * * * [regime]: Found split indices: #