27.855 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.026 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.028 * * [simplify]: iteration 1 : 23 enodes (cost 3 ) 0.029 * * [simplify]: iteration 2 : 30 enodes (cost 3 ) 0.030 * * [simplify]: iteration 3 : 31 enodes (cost 3 ) 0.031 * * [simplify]: iteration 4 : 31 enodes (cost 3 ) 0.032 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.038 * * * [progress]: generating rewritten candidates 0.038 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.045 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.048 * * * [progress]: generating series expansions 0.048 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.048 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of 1.0 in y 0.048 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of 1.0 in x 0.048 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 1.0 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of 1.0 in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of 1.0 in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of 1.0 in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of 1.0 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.076 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.076 * [taylor]: Taking taylor expansion of -1 in y 0.076 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of 1.0 in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.077 * [taylor]: Taking taylor expansion of -1 in x 0.077 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.077 * [taylor]: Taking taylor expansion of -1 in x 0.077 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.078 * [taylor]: Taking taylor expansion of -1 in y 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of 1.0 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.103 * [approximate]: Taking taylor expansion of (+ (pow y 2) 1.0) in (y) around 0 0.103 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of 1.0 in y 0.103 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of 1.0 in y 0.109 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in (y) around 0 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.110 * [taylor]: Taking taylor expansion of 1.0 in y 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of 1.0 in y 0.130 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in (y) around 0 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.131 * [taylor]: Taking taylor expansion of 1.0 in y 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.131 * [taylor]: Taking taylor expansion of 1.0 in y 0.151 * * * [progress]: simplifying candidates 0.152 * [simplify]: Simplifying using # : (expm1 (* x (+ 1.0 (* y y)))) (log1p (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y)))) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (* (* (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* 1.0 x) (* (* y y) x) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* x 1) (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow (* y y) 3))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (expm1 (+ 1.0 (* y y))) (log1p (+ 1.0 (* y y))) (* (exp 1.0) (exp (* y y))) (log (+ 1.0 (* y y))) (exp (+ 1.0 (* y y))) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y))) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y))) (+ (pow 1.0 3) (pow (* y y) 3)) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (- (* 1.0 1.0) (* (* y y) (* y y))) (- 1.0 (* y y)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (+ (pow y 2) 1.0) (+ (pow y 2) 1.0) (+ (pow y 2) 1.0) 0.157 * * [simplify]: iteration 0 : 176 enodes (cost 185 ) 0.162 * * [simplify]: iteration 1 : 831 enodes (cost 149 ) 0.177 * * [simplify]: iteration 2 : 3617 enodes (cost 145 ) 0.239 * * [simplify]: iteration 3 : 5001 enodes (cost 144 ) 0.240 * [simplify]: Simplified to: (expm1 (* x (+ 1.0 (* y y)))) (log1p (* x (+ 1.0 (* y y)))) (* x (fma y y 1.0)) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (pow (exp x) (fma y y 1.0)) (pow (* x (fma y y 1.0)) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* x (fma y y 1.0)) 3) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* x 1.0) (* x (* y y)) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) x (* (cbrt x) (fma y y 1.0)) (* (sqrt x) (fma y y 1.0)) (* x (fma y y 1.0)) (fma x (pow 1.0 3) (* x (pow y 6))) (* (* x (fma y y 1.0)) (- 1.0 (* y y))) (expm1 (+ 1.0 (* y y))) (log1p (+ 1.0 (* y y))) (exp (fma y y 1.0)) (log (fma y y 1.0)) (exp (fma y y 1.0)) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y))) (pow (fma y y 1.0) 3) (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y))) (+ (pow 1.0 3) (pow y 6)) (fma 1.0 (- 1.0 (* y y)) (pow y 4)) (* (fma y y 1.0) (- 1.0 (pow y 2))) (- 1.0 (* y y)) (* x 1.0) (* x (fma y y 1.0)) (* x (fma y y 1.0)) (fma y y 1.0) (fma y y 1.0) (fma y y 1.0) 0.240 * * * [progress]: adding candidates to table 0.325 * * [progress]: iteration 2 / 4 0.325 * * * [progress]: picking best candidate 0.331 * * * * [pick]: Picked # 0.331 * * * [progress]: localizing error 0.341 * * * [progress]: generating rewritten candidates 0.341 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.344 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.347 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.366 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.377 * * * [progress]: generating series expansions 0.377 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.377 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.377 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.377 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.377 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of 1.0 in y 0.379 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.379 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of 1.0 in y 0.392 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of 1.0 in y 0.394 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of 1.0 in y 0.406 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of 1.0 in y 0.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of 1.0 in y 0.423 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.423 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.423 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.423 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of 1.0 in y 0.424 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.424 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.424 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.424 * [taylor]: Taking taylor expansion of 1.0 in y 0.437 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of 1.0 in y 0.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.440 * [taylor]: Taking taylor expansion of 1.0 in y 0.451 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.451 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.451 * [taylor]: Taking taylor expansion of 1.0 in y 0.453 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.454 * [taylor]: Taking taylor expansion of 1.0 in y 0.464 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.464 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.464 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.464 * [taylor]: Taking taylor expansion of x in y 0.464 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of 1.0 in y 0.464 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.464 * [taylor]: Taking taylor expansion of y in x 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.464 * [taylor]: Taking taylor expansion of y in x 0.465 * [taylor]: Taking taylor expansion of 1.0 in x 0.465 * [taylor]: Taking taylor expansion of 0 in y 0.465 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.465 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.465 * [taylor]: Taking taylor expansion of y in y 0.465 * [taylor]: Taking taylor expansion of 1.0 in y 0.467 * [taylor]: Taking taylor expansion of 0 in y 0.469 * [taylor]: Taking taylor expansion of 0 in y 0.469 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.469 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.469 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.469 * [taylor]: Taking taylor expansion of 1.0 in y 0.469 * [taylor]: Taking taylor expansion of x in y 0.470 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.470 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [taylor]: Taking taylor expansion of 1.0 in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.470 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [taylor]: Taking taylor expansion of 1.0 in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.471 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.471 * [taylor]: Taking taylor expansion of y in y 0.471 * [taylor]: Taking taylor expansion of 1.0 in y 0.473 * [taylor]: Taking taylor expansion of 0 in y 0.475 * [taylor]: Taking taylor expansion of 0 in y 0.479 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.494 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.494 * [taylor]: Taking taylor expansion of -1 in y 0.494 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of 1.0 in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.496 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.496 * [taylor]: Taking taylor expansion of -1 in x 0.496 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.496 * [taylor]: Taking taylor expansion of -1 in x 0.496 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.497 * [taylor]: Taking taylor expansion of 1.0 in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.497 * [taylor]: Taking taylor expansion of -1 in y 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of 1.0 in y 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.526 * [taylor]: Taking taylor expansion of 0 in y 0.536 * [taylor]: Taking taylor expansion of 0 in y 0.548 * [taylor]: Taking taylor expansion of 0 in y 0.549 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.550 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.550 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.550 * [taylor]: Taking taylor expansion of x in y 0.550 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.550 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of 1.0 in y 0.552 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.552 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.552 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.552 * [taylor]: Taking taylor expansion of y in x 0.553 * [taylor]: Taking taylor expansion of 1.0 in x 0.554 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.554 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.554 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.554 * [taylor]: Taking taylor expansion of y in x 0.554 * [taylor]: Taking taylor expansion of 1.0 in x 0.555 * [taylor]: Taking taylor expansion of 0 in y 0.556 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.556 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.556 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.556 * [taylor]: Taking taylor expansion of y in y 0.556 * [taylor]: Taking taylor expansion of 1.0 in y 0.561 * [taylor]: Taking taylor expansion of 0 in y 0.564 * [taylor]: Taking taylor expansion of 0 in y 0.565 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.565 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.565 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.566 * [taylor]: Taking taylor expansion of 1.0 in y 0.569 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.570 * [taylor]: Taking taylor expansion of x in y 0.570 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.570 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.570 * [taylor]: Taking taylor expansion of y in x 0.570 * [taylor]: Taking taylor expansion of 1.0 in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.572 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.572 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of 1.0 in y 0.578 * [taylor]: Taking taylor expansion of 0 in y 0.581 * [taylor]: Taking taylor expansion of 0 in y 0.587 * [taylor]: Taking taylor expansion of 0 in y 0.592 * [taylor]: Taking taylor expansion of 0 in y 0.593 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.593 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.593 * [taylor]: Taking taylor expansion of -1 in y 0.593 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.593 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.593 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.593 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.593 * [taylor]: Taking taylor expansion of y in y 0.593 * [taylor]: Taking taylor expansion of 1.0 in y 0.595 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.595 * [taylor]: Taking taylor expansion of x in y 0.595 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.595 * [taylor]: Taking taylor expansion of -1 in x 0.595 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.595 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.596 * [taylor]: Taking taylor expansion of 1.0 in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.597 * [taylor]: Taking taylor expansion of -1 in x 0.597 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.597 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.597 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of 1.0 in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.598 * [taylor]: Taking taylor expansion of -1 in y 0.598 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.598 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.598 * [taylor]: Taking taylor expansion of y in y 0.599 * [taylor]: Taking taylor expansion of 1.0 in y 0.603 * [taylor]: Taking taylor expansion of 0 in y 0.606 * [taylor]: Taking taylor expansion of 0 in y 0.614 * [taylor]: Taking taylor expansion of 0 in y 0.622 * [taylor]: Taking taylor expansion of 0 in y 0.622 * * * [progress]: simplifying candidates 0.624 * [simplify]: Simplifying using # : (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (expm1 (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (log1p (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (+ (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (+ (log (* x (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (log (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (exp (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (- 1.0 (* y y))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (- 1.0 (* y y))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt 1)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) 1) (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ 1.0 (* y y)))) (expm1 (* x (sqrt (+ 1.0 (* y y))))) (log1p (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (* x (sqrt (+ 1.0 (* y y))))) (exp (* x (sqrt (+ 1.0 (* y y))))) (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* x (sqrt (+ 1.0 (* y y))))) (cbrt (* x (sqrt (+ 1.0 (* y y)))))) (cbrt (* x (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt 1)) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x 1) (* (cbrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 0.630 * * [simplify]: iteration 0 : 318 enodes (cost 722 ) 0.638 * * [simplify]: iteration 1 : 1367 enodes (cost 620 ) 0.665 * * [simplify]: iteration 2 : 5002 enodes (cost 595 ) 0.673 * [simplify]: Simplified to: (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (hypot (sqrt 1.0) y) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (hypot (sqrt 1.0) y) (hypot (pow y 3) (pow 1.0 3/2)) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (hypot (sqrt 1.0) y) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (hypot (sqrt 1.0) y) (hypot (pow y 3) (pow 1.0 3/2)) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (expm1 (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (log1p (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (fma y y 1.0) x) (* (fma y y 1.0) x) (+ (log x) (log (fma y y 1.0))) (+ (log x) (log (fma y y 1.0))) (+ (log x) (log (fma y y 1.0))) (pow (exp x) (fma y y 1.0)) (pow (* (fma y y 1.0) x) 3) (pow (* (fma y y 1.0) x) 3) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (pow (* (fma y y 1.0) x) 3) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (+ (pow 1.0 3) (pow (* y y) 3)) x) (fma (pow y 2) (- (pow y 2) 1.0) (* 1.0 1.0)) (* (* x (hypot (pow y 3) (pow 1.0 3/2))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* x (hypot (pow y 3) (pow 1.0 3/2))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* (- 1.0 (* y y)) (fma y y 1.0)) x) (- 1.0 (* y y)) (* (* x (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (hypot (sqrt 1.0) y)) (* (* (fabs (cbrt (+ 1.0 (* y y)))) x) (hypot (sqrt 1.0) y)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (* (* 1 (hypot (sqrt 1.0) y)) x) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (* (* 1 (hypot (sqrt 1.0) y)) x) (fma y y 1.0) (* (* (hypot (pow y 3) (pow 1.0 3/2)) (hypot (sqrt 1.0) y)) x) (* (* (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (hypot (sqrt 1.0) y)) x) (* (* (hypot (pow y 3) (pow 1.0 3/2)) (hypot (sqrt 1.0) y)) x) (* (* (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (hypot (sqrt 1.0) y)) x) (expm1 (* x (sqrt (+ 1.0 (* y y))))) (log1p (* x (sqrt (+ 1.0 (* y y))))) (* (* 1 (hypot (sqrt 1.0) y)) x) (log (* x (sqrt (+ 1.0 (* y y))))) (log (* x (sqrt (+ 1.0 (* y y))))) (exp (* x (sqrt (+ 1.0 (* y y))))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (* (cbrt (* x (sqrt (+ 1.0 (* y y))))) (cbrt (* x (sqrt (+ 1.0 (* y y)))))) (cbrt (* x (sqrt (+ 1.0 (* y y))))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) x) (* x (sqrt (sqrt (+ 1.0 (* y y))))) x (* x (sqrt (sqrt (+ 1.0 (* y y))))) x (* (cbrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (* 1 (hypot (sqrt 1.0) y)) x) (* x (hypot (pow y 3) (pow 1.0 3/2))) (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (fma 1/2 (/ (pow y 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.125) (pow y 3)) (fma 0.5 (/ 1 y) y)) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (fma 1/2 (/ (pow y 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.125) (pow y 3)) (fma 0.5 (/ 1 y) y)) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (* 1.0 x) (* (fma y y 1.0) x) (* (fma y y 1.0) x) (* x (sqrt 1.0)) (fma 0.5 (/ x y) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 0.674 * * * [progress]: adding candidates to table 0.924 * * [progress]: iteration 3 / 4 0.925 * * * [progress]: picking best candidate 0.937 * * * * [pick]: Picked # 0.937 * * * [progress]: localizing error 0.947 * * * [progress]: generating rewritten candidates 0.947 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.950 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.972 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.978 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.982 * * * [progress]: generating series expansions 0.982 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.982 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.982 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.982 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.982 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.982 * [taylor]: Taking taylor expansion of 1.0 in y 0.983 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.983 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.984 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.984 * [taylor]: Taking taylor expansion of 1.0 in y 0.997 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.997 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.997 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.997 * [taylor]: Taking taylor expansion of y in y 0.997 * [taylor]: Taking taylor expansion of 1.0 in y 0.999 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.999 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.999 * [taylor]: Taking taylor expansion of y in y 1.000 * [taylor]: Taking taylor expansion of 1.0 in y 1.014 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.014 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.014 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.015 * [taylor]: Taking taylor expansion of 1.0 in y 1.017 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.017 * [taylor]: Taking taylor expansion of y in y 1.017 * [taylor]: Taking taylor expansion of 1.0 in y 1.027 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.028 * [approximate]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 1.028 * [taylor]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (sqrt (+ (pow y 2) 1.0))) in y 1.028 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in y 1.028 * [taylor]: Taking taylor expansion of x in y 1.028 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 1.028 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.028 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 1.028 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.028 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.028 * [taylor]: Taking taylor expansion of 1.0 in y 1.029 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.029 * [taylor]: Taking taylor expansion of 1.0 in y 1.030 * [taylor]: Taking taylor expansion of (* y y) in y 1.030 * [taylor]: Taking taylor expansion of y in y 1.030 * [taylor]: Taking taylor expansion of y in y 1.034 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.034 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.034 * [taylor]: Taking taylor expansion of y in y 1.034 * [taylor]: Taking taylor expansion of 1.0 in y 1.035 * [taylor]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (sqrt (+ (pow y 2) 1.0))) in x 1.035 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 1.036 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.036 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 1.036 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.036 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.036 * [taylor]: Taking taylor expansion of 1.0 in x 1.036 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.036 * [taylor]: Taking taylor expansion of 1.0 in x 1.037 * [taylor]: Taking taylor expansion of (* y y) in x 1.037 * [taylor]: Taking taylor expansion of y in x 1.037 * [taylor]: Taking taylor expansion of y in x 1.041 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 1.041 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.041 * [taylor]: Taking taylor expansion of y in x 1.041 * [taylor]: Taking taylor expansion of 1.0 in x 1.041 * [taylor]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (sqrt (+ (pow y 2) 1.0))) in x 1.041 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 1.042 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.042 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 1.042 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.042 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.042 * [taylor]: Taking taylor expansion of 1.0 in x 1.042 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.042 * [taylor]: Taking taylor expansion of 1.0 in x 1.043 * [taylor]: Taking taylor expansion of (* y y) in x 1.043 * [taylor]: Taking taylor expansion of y in x 1.043 * [taylor]: Taking taylor expansion of y in x 1.047 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 1.047 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.047 * [taylor]: Taking taylor expansion of y in x 1.047 * [taylor]: Taking taylor expansion of 1.0 in x 1.048 * [taylor]: Taking taylor expansion of 0 in y 1.050 * [taylor]: Taking taylor expansion of (sqrt (* (+ (pow y 2) (pow (sqrt 1.0) 2)) (+ (pow y 2) 1.0))) in y 1.050 * [taylor]: Taking taylor expansion of (* (+ (pow y 2) (pow (sqrt 1.0) 2)) (+ (pow y 2) 1.0)) in y 1.050 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow (sqrt 1.0) 2)) in y 1.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.050 * [taylor]: Taking taylor expansion of y in y 1.050 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.050 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.050 * [taylor]: Taking taylor expansion of 1.0 in y 1.051 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.051 * [taylor]: Taking taylor expansion of y in y 1.051 * [taylor]: Taking taylor expansion of 1.0 in y 1.064 * [taylor]: Taking taylor expansion of 0 in y 1.072 * [taylor]: Taking taylor expansion of 0 in y 1.073 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ 1 y)) x)) in (x y) around 0 1.073 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ 1 y)) x)) in y 1.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.073 * [taylor]: Taking taylor expansion of y in y 1.074 * [taylor]: Taking taylor expansion of 1.0 in y 1.076 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in y 1.076 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 1.076 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.076 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 1.076 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.076 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.076 * [taylor]: Taking taylor expansion of 1.0 in y 1.076 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.076 * [taylor]: Taking taylor expansion of 1.0 in y 1.077 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.077 * [taylor]: Taking taylor expansion of y in y 1.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.077 * [taylor]: Taking taylor expansion of y in y 1.080 * [taylor]: Taking taylor expansion of x in y 1.080 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ 1 y)) x)) in x 1.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.080 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.080 * [taylor]: Taking taylor expansion of y in x 1.080 * [taylor]: Taking taylor expansion of 1.0 in x 1.081 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in x 1.081 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 1.081 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.081 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 1.081 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.081 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.081 * [taylor]: Taking taylor expansion of 1.0 in x 1.082 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.082 * [taylor]: Taking taylor expansion of 1.0 in x 1.083 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.083 * [taylor]: Taking taylor expansion of y in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.083 * [taylor]: Taking taylor expansion of y in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.087 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ 1 y)) x)) in x 1.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.088 * [taylor]: Taking taylor expansion of y in x 1.088 * [taylor]: Taking taylor expansion of 1.0 in x 1.088 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in x 1.088 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 1.088 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.088 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 1.089 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.089 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.089 * [taylor]: Taking taylor expansion of 1.0 in x 1.089 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.089 * [taylor]: Taking taylor expansion of 1.0 in x 1.090 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.090 * [taylor]: Taking taylor expansion of y in x 1.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.090 * [taylor]: Taking taylor expansion of y in x 1.099 * [taylor]: Taking taylor expansion of x in x 1.101 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 (pow y 2)) 1.0) (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)))) in y 1.101 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y 2)) 1.0) (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 1.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.101 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.101 * [taylor]: Taking taylor expansion of y in y 1.101 * [taylor]: Taking taylor expansion of 1.0 in y 1.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 1.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.101 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.101 * [taylor]: Taking taylor expansion of y in y 1.102 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.102 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.102 * [taylor]: Taking taylor expansion of 1.0 in y 1.108 * [taylor]: Taking taylor expansion of 0 in y 1.115 * [taylor]: Taking taylor expansion of 0 in y 1.135 * [taylor]: Taking taylor expansion of 0 in y 1.150 * [taylor]: Taking taylor expansion of 0 in y 1.180 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in (x y) around 0 1.180 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in y 1.180 * [taylor]: Taking taylor expansion of -1 in y 1.180 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in y 1.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.180 * [taylor]: Taking taylor expansion of y in y 1.180 * [taylor]: Taking taylor expansion of 1.0 in y 1.182 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in y 1.182 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 1.182 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.182 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 1.182 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.182 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.182 * [taylor]: Taking taylor expansion of 1.0 in y 1.183 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.183 * [taylor]: Taking taylor expansion of 1.0 in y 1.184 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.184 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.184 * [taylor]: Taking taylor expansion of -1 in y 1.184 * [taylor]: Taking taylor expansion of y in y 1.184 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.184 * [taylor]: Taking taylor expansion of -1 in y 1.184 * [taylor]: Taking taylor expansion of y in y 1.187 * [taylor]: Taking taylor expansion of x in y 1.187 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in x 1.187 * [taylor]: Taking taylor expansion of -1 in x 1.187 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in x 1.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.187 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.187 * [taylor]: Taking taylor expansion of y in x 1.187 * [taylor]: Taking taylor expansion of 1.0 in x 1.188 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in x 1.188 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 1.188 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.188 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 1.189 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.189 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.189 * [taylor]: Taking taylor expansion of 1.0 in x 1.189 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.189 * [taylor]: Taking taylor expansion of 1.0 in x 1.190 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.190 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.190 * [taylor]: Taking taylor expansion of -1 in x 1.190 * [taylor]: Taking taylor expansion of y in x 1.190 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.190 * [taylor]: Taking taylor expansion of -1 in x 1.190 * [taylor]: Taking taylor expansion of y in x 1.194 * [taylor]: Taking taylor expansion of x in x 1.195 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in x 1.195 * [taylor]: Taking taylor expansion of -1 in x 1.195 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in x 1.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.195 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.195 * [taylor]: Taking taylor expansion of y in x 1.195 * [taylor]: Taking taylor expansion of 1.0 in x 1.195 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in x 1.196 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 1.196 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.196 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 1.196 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.196 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.196 * [taylor]: Taking taylor expansion of 1.0 in x 1.196 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.196 * [taylor]: Taking taylor expansion of 1.0 in x 1.197 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.197 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.197 * [taylor]: Taking taylor expansion of -1 in x 1.197 * [taylor]: Taking taylor expansion of y in x 1.197 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.197 * [taylor]: Taking taylor expansion of -1 in x 1.197 * [taylor]: Taking taylor expansion of y in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.203 * [taylor]: Taking taylor expansion of (* -1 (sqrt (* (+ (/ 1 (pow y 2)) 1.0) (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))))) in y 1.203 * [taylor]: Taking taylor expansion of -1 in y 1.203 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 (pow y 2)) 1.0) (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)))) in y 1.203 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y 2)) 1.0) (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 1.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.204 * [taylor]: Taking taylor expansion of y in y 1.204 * [taylor]: Taking taylor expansion of 1.0 in y 1.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 1.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.204 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.204 * [taylor]: Taking taylor expansion of y in y 1.205 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.205 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.205 * [taylor]: Taking taylor expansion of 1.0 in y 1.212 * [taylor]: Taking taylor expansion of 0 in y 1.221 * [taylor]: Taking taylor expansion of 0 in y 1.247 * [taylor]: Taking taylor expansion of 0 in y 1.270 * [taylor]: Taking taylor expansion of 0 in y 1.302 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.303 * [approximate]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in (x y) around 0 1.303 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in y 1.303 * [taylor]: Taking taylor expansion of x in y 1.303 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 1.303 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.303 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 1.303 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.303 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.303 * [taylor]: Taking taylor expansion of 1.0 in y 1.304 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.304 * [taylor]: Taking taylor expansion of 1.0 in y 1.304 * [taylor]: Taking taylor expansion of (* y y) in y 1.304 * [taylor]: Taking taylor expansion of y in y 1.304 * [taylor]: Taking taylor expansion of y in y 1.309 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.309 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 1.309 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.309 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 1.309 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.309 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.309 * [taylor]: Taking taylor expansion of 1.0 in x 1.310 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.310 * [taylor]: Taking taylor expansion of 1.0 in x 1.310 * [taylor]: Taking taylor expansion of (* y y) in x 1.310 * [taylor]: Taking taylor expansion of y in x 1.310 * [taylor]: Taking taylor expansion of y in x 1.314 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.314 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 1.314 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.314 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 1.314 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.314 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.314 * [taylor]: Taking taylor expansion of 1.0 in x 1.315 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.315 * [taylor]: Taking taylor expansion of 1.0 in x 1.315 * [taylor]: Taking taylor expansion of (* y y) in x 1.315 * [taylor]: Taking taylor expansion of y in x 1.315 * [taylor]: Taking taylor expansion of y in x 1.320 * [taylor]: Taking taylor expansion of 0 in y 1.321 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow (sqrt 1.0) 2))) in y 1.321 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow (sqrt 1.0) 2)) in y 1.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.321 * [taylor]: Taking taylor expansion of y in y 1.321 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.321 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.321 * [taylor]: Taking taylor expansion of 1.0 in y 1.330 * [taylor]: Taking taylor expansion of 0 in y 1.335 * [taylor]: Taking taylor expansion of 0 in y 1.336 * [approximate]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in (x y) around 0 1.336 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in y 1.336 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 1.336 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.336 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 1.336 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.336 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.336 * [taylor]: Taking taylor expansion of 1.0 in y 1.336 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.336 * [taylor]: Taking taylor expansion of 1.0 in y 1.337 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.337 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.337 * [taylor]: Taking taylor expansion of y in y 1.337 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.337 * [taylor]: Taking taylor expansion of y in y 1.340 * [taylor]: Taking taylor expansion of x in y 1.340 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in x 1.340 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 1.340 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.340 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 1.340 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.340 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.340 * [taylor]: Taking taylor expansion of 1.0 in x 1.341 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.341 * [taylor]: Taking taylor expansion of 1.0 in x 1.342 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.342 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.342 * [taylor]: Taking taylor expansion of y in x 1.342 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.342 * [taylor]: Taking taylor expansion of y in x 1.351 * [taylor]: Taking taylor expansion of x in x 1.352 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in x 1.352 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 1.352 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.352 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 1.352 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.352 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.352 * [taylor]: Taking taylor expansion of 1.0 in x 1.353 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.353 * [taylor]: Taking taylor expansion of 1.0 in x 1.354 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.354 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.354 * [taylor]: Taking taylor expansion of y in x 1.354 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.354 * [taylor]: Taking taylor expansion of y in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 1.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 1.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.358 * [taylor]: Taking taylor expansion of y in y 1.359 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.359 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.359 * [taylor]: Taking taylor expansion of 1.0 in y 1.363 * [taylor]: Taking taylor expansion of 0 in y 1.368 * [taylor]: Taking taylor expansion of 0 in y 1.380 * [taylor]: Taking taylor expansion of 0 in y 1.389 * [taylor]: Taking taylor expansion of 0 in y 1.391 * [approximate]: Taking taylor expansion of (* -1 (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in (x y) around 0 1.391 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in y 1.391 * [taylor]: Taking taylor expansion of -1 in y 1.391 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in y 1.391 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 1.391 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.391 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 1.391 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.391 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.391 * [taylor]: Taking taylor expansion of 1.0 in y 1.392 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.392 * [taylor]: Taking taylor expansion of 1.0 in y 1.392 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.392 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.393 * [taylor]: Taking taylor expansion of -1 in y 1.393 * [taylor]: Taking taylor expansion of y in y 1.393 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.393 * [taylor]: Taking taylor expansion of -1 in y 1.393 * [taylor]: Taking taylor expansion of y in y 1.396 * [taylor]: Taking taylor expansion of x in y 1.396 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in x 1.396 * [taylor]: Taking taylor expansion of -1 in x 1.396 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in x 1.396 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 1.396 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.396 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 1.396 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.396 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.396 * [taylor]: Taking taylor expansion of 1.0 in x 1.397 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.397 * [taylor]: Taking taylor expansion of 1.0 in x 1.397 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.397 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.397 * [taylor]: Taking taylor expansion of -1 in x 1.397 * [taylor]: Taking taylor expansion of y in x 1.397 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.397 * [taylor]: Taking taylor expansion of -1 in x 1.397 * [taylor]: Taking taylor expansion of y in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.402 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in x 1.402 * [taylor]: Taking taylor expansion of -1 in x 1.402 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in x 1.402 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 1.402 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.402 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 1.402 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.402 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.402 * [taylor]: Taking taylor expansion of 1.0 in x 1.403 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.403 * [taylor]: Taking taylor expansion of 1.0 in x 1.404 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.404 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.404 * [taylor]: Taking taylor expansion of -1 in x 1.404 * [taylor]: Taking taylor expansion of y in x 1.404 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.404 * [taylor]: Taking taylor expansion of -1 in x 1.404 * [taylor]: Taking taylor expansion of y in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)))) in y 1.409 * [taylor]: Taking taylor expansion of -1 in y 1.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 1.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 1.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.409 * [taylor]: Taking taylor expansion of y in y 1.410 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.410 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.410 * [taylor]: Taking taylor expansion of 1.0 in y 1.415 * [taylor]: Taking taylor expansion of 0 in y 1.421 * [taylor]: Taking taylor expansion of 0 in y 1.443 * [taylor]: Taking taylor expansion of 0 in y 1.455 * [taylor]: Taking taylor expansion of 0 in y 1.457 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.457 * [approximate]: Taking taylor expansion of (+ (pow y 2) 1.0) in (y) around 0 1.457 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.457 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.457 * [taylor]: Taking taylor expansion of y in y 1.457 * [taylor]: Taking taylor expansion of 1.0 in y 1.457 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.457 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.457 * [taylor]: Taking taylor expansion of y in y 1.457 * [taylor]: Taking taylor expansion of 1.0 in y 1.463 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in (y) around 0 1.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.463 * [taylor]: Taking taylor expansion of y in y 1.464 * [taylor]: Taking taylor expansion of 1.0 in y 1.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.464 * [taylor]: Taking taylor expansion of y in y 1.464 * [taylor]: Taking taylor expansion of 1.0 in y 1.476 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in (y) around 0 1.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.476 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.476 * [taylor]: Taking taylor expansion of y in y 1.476 * [taylor]: Taking taylor expansion of 1.0 in y 1.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.476 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.476 * [taylor]: Taking taylor expansion of y in y 1.477 * [taylor]: Taking taylor expansion of 1.0 in y 1.494 * * * [progress]: simplifying candidates 1.496 * [simplify]: Simplifying using # : (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (expm1 (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y))))) (log1p (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y))))) (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y)))) (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y)))) (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y)))) (+ (+ (log x) (+ 0 (log (hypot (sqrt 1.0) y)))) (log (sqrt (+ 1.0 (* y y))))) (+ (+ (log x) (+ (log 1) (log (hypot (sqrt 1.0) y)))) (log (sqrt (+ 1.0 (* y y))))) (+ (+ (log x) (log (* 1 (hypot (sqrt 1.0) y)))) (log (sqrt (+ 1.0 (* y y))))) (+ (log (* x (* 1 (hypot (sqrt 1.0) y)))) (log (sqrt (+ 1.0 (* y y))))) (log (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y))))) (exp (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x x) x) (* (* (* 1 1) 1) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x x) x) (* (* (* 1 (hypot (sqrt 1.0) y)) (* 1 (hypot (sqrt 1.0) y))) (* 1 (hypot (sqrt 1.0) y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (* 1 (hypot (sqrt 1.0) y))) (* x (* 1 (hypot (sqrt 1.0) y)))) (* x (* 1 (hypot (sqrt 1.0) y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y)))) (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y))))) (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y))))) (* (* x (* 1 (hypot (sqrt 1.0) y))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt 1)) (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (* 1 (hypot (sqrt 1.0) y))) 1) (* (* 1 (hypot (sqrt 1.0) y)) (sqrt (+ 1.0 (* y y)))) (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (expm1 (* x (* 1 (hypot (sqrt 1.0) y)))) (log1p (* x (* 1 (hypot (sqrt 1.0) y)))) (* x (* 1 (hypot (sqrt 1.0) y))) (* x (* 1 (hypot (sqrt 1.0) y))) (+ (log x) (+ 0 (log (hypot (sqrt 1.0) y)))) (+ (log x) (+ (log 1) (log (hypot (sqrt 1.0) y)))) (+ (log x) (log (* 1 (hypot (sqrt 1.0) y)))) (log (* x (* 1 (hypot (sqrt 1.0) y)))) (exp (* x (* 1 (hypot (sqrt 1.0) y)))) (* (* (* x x) x) (* (* (* 1 1) 1) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y)))) (* (* (* x x) x) (* (* (* 1 (hypot (sqrt 1.0) y)) (* 1 (hypot (sqrt 1.0) y))) (* 1 (hypot (sqrt 1.0) y)))) (* (cbrt (* x (* 1 (hypot (sqrt 1.0) y)))) (cbrt (* x (* 1 (hypot (sqrt 1.0) y))))) (cbrt (* x (* 1 (hypot (sqrt 1.0) y)))) (* (* (* x (* 1 (hypot (sqrt 1.0) y))) (* x (* 1 (hypot (sqrt 1.0) y)))) (* x (* 1 (hypot (sqrt 1.0) y)))) (sqrt (* x (* 1 (hypot (sqrt 1.0) y)))) (sqrt (* x (* 1 (hypot (sqrt 1.0) y)))) (* x 1) (* (cbrt x) (* 1 (hypot (sqrt 1.0) y))) (* (sqrt x) (* 1 (hypot (sqrt 1.0) y))) (* x (* 1 (hypot (sqrt 1.0) y))) (expm1 (+ 1.0 (* y y))) (log1p (+ 1.0 (* y y))) (* (exp 1.0) (exp (* y y))) (log (+ 1.0 (* y y))) (exp (+ 1.0 (* y y))) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y))) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y))) (+ (pow 1.0 3) (pow (* y y) 3)) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (- (* 1.0 1.0) (* (* y y) (* y y))) (- 1.0 (* y y)) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* x (pow (sqrt 1.0) 2)) (- (+ (* x (pow y 2)) (+ (* 0.5 x) (+ (* 1/2 (* x (pow (sqrt 1.0) 2))) (* 0.25 (/ (* x (pow (sqrt 1.0) 2)) (pow y 2)))))) (+ (* 1/8 (/ (* x (pow (sqrt 1.0) 4)) (pow y 2))) (* 0.125 (/ x (pow y 2))))) (- (+ (* x (pow y 2)) (+ (* 0.5 x) (+ (* 1/2 (* x (pow (sqrt 1.0) 2))) (* 0.25 (/ (* x (pow (sqrt 1.0) 2)) (pow y 2)))))) (+ (* 1/8 (/ (* x (pow (sqrt 1.0) 4)) (pow y 2))) (* 0.125 (/ x (pow y 2))))) (* x (sqrt 1.0)) (+ (* 1/2 (/ (* x (pow (sqrt 1.0) 2)) y)) (* x y)) (- (+ (* 1/2 (/ (* x (pow (sqrt 1.0) 2)) y)) (* x y))) (+ (pow y 2) 1.0) (+ (pow y 2) 1.0) (+ (pow y 2) 1.0) 1.505 * * [simplify]: iteration 0 : 425 enodes (cost 634 ) 1.517 * * [simplify]: iteration 1 : 1894 enodes (cost 539 ) 1.561 * * [simplify]: iteration 2 : 5001 enodes (cost 497 ) 1.564 * [simplify]: Simplified to: (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (sqrt (+ 1.0 (* y y)))) (log (hypot (sqrt 1.0) y)) (exp (hypot (sqrt 1.0) y)) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (hypot (sqrt 1.0) y) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (hypot (sqrt 1.0) y) (hypot (pow y 3) (pow 1.0 3/2)) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (expm1 (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y))))) (log1p (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y))))) (* (fma y y 1.0) x) (* (fma y y 1.0) x) (* (fma y y 1.0) x) (log (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y))))) (log (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y))))) (log (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y))))) (log (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y))))) (log (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y))))) (pow (exp x) (* (sqrt (+ 1.0 (* y y))) (hypot (sqrt 1.0) y))) (pow (* (sqrt (+ 1.0 (* y y))) (* x (hypot (sqrt 1.0) y))) 3) (pow (* (sqrt (+ 1.0 (* y y))) (* x (hypot (sqrt 1.0) y))) 3) (pow (* (sqrt (+ 1.0 (* y y))) (* x (hypot (sqrt 1.0) y))) 3) (* (cbrt (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y))))) (pow (* (sqrt (+ 1.0 (* y y))) (* x (hypot (sqrt 1.0) y))) 3) (sqrt (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (+ 1.0 (* y y))))) (* (* (* x (hypot (sqrt 1.0) y)) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y))))) (* x (* (hypot (sqrt 1.0) y) (fabs (cbrt (+ 1.0 (* y y)))))) (* x (* (hypot (sqrt 1.0) y) (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (hypot (sqrt 1.0) y)) (* x (* (hypot (sqrt 1.0) y) (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (hypot (sqrt 1.0) y)) (fma y y 1.0) (* (* x (hypot (sqrt 1.0) y)) (hypot (pow y 3) (pow 1.0 3/2))) (* x (* (hypot (sqrt 1.0) y) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (expm1 (* x (* 1 (hypot (sqrt 1.0) y)))) (log1p (* x (* 1 (hypot (sqrt 1.0) y)))) (* x (hypot (sqrt 1.0) y)) (* x (hypot (sqrt 1.0) y)) (log (* x (hypot (sqrt 1.0) y))) (log (* x (hypot (sqrt 1.0) y))) (log (* x (hypot (sqrt 1.0) y))) (log (* x (hypot (sqrt 1.0) y))) (pow (exp x) (hypot (sqrt 1.0) y)) (pow (* x (hypot (sqrt 1.0) y)) 3) (pow (* x (hypot (sqrt 1.0) y)) 3) (* (cbrt (* x (* 1 (hypot (sqrt 1.0) y)))) (cbrt (* x (* 1 (hypot (sqrt 1.0) y))))) (cbrt (* x (* 1 (hypot (sqrt 1.0) y)))) (pow (* x (hypot (sqrt 1.0) y)) 3) (sqrt (* x (* 1 (hypot (sqrt 1.0) y)))) (sqrt (* x (* 1 (hypot (sqrt 1.0) y)))) x (* (hypot (sqrt 1.0) y) (cbrt x)) (* (hypot (sqrt 1.0) y) (sqrt x)) (* x (hypot (sqrt 1.0) y)) (expm1 (+ 1.0 (* y y))) (log1p (+ 1.0 (* y y))) (exp (fma y y 1.0)) (log (+ 1.0 (* y y))) (exp (fma y y 1.0)) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y))) (pow (fma y y 1.0) 3) (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y) (fma (* 1.0 1.0) 1.0 (pow y 6)) (fma (pow y 2) (- (pow y 2) 1.0) (* 1.0 1.0)) (* (fma y y 1.0) (- 1.0 (pow y 2))) (- 1.0 (* y y)) (fma 1/2 (/ (pow y 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.125) (pow y 3)) (fma 0.5 (/ 1 y) y)) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (* x 1.0) (+ (fma x (fma y y 0.5) (/ (/ (* (* 0.25 1.0) x) y) y)) (- (* (* 1/2 1.0) x) (fma 0.125 (/ x (pow y 2)) (/ (* 1/8 x) (* (/ y 1.0) (/ y 1.0)))))) (+ (fma x (fma y y 0.5) (/ (/ (* (* 0.25 1.0) x) y) y)) (- (* (* 1/2 1.0) x) (fma 0.125 (/ x (pow y 2)) (/ (* 1/8 x) (* (/ y 1.0) (/ y 1.0)))))) (* x (sqrt 1.0)) (fma y x (/ 1/2 (/ y (* (* 1.0 x) 1)))) (fma (- 1/2) (/ 1.0 (/ y x)) (- (* x y))) (fma y y 1.0) (fma y y 1.0) (fma y y 1.0) 1.564 * * * [progress]: adding candidates to table 1.824 * * [progress]: iteration 4 / 4 1.824 * * * [progress]: picking best candidate 1.832 * * * * [pick]: Picked # 1.832 * * * [progress]: localizing error 1.839 * * * [progress]: generating rewritten candidates 1.839 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.857 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.863 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.864 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 1.865 * * * [progress]: generating series expansions 1.866 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.867 * [approximate]: Taking taylor expansion of (* x (pow (hypot (sqrt 1.0) y) 2)) in (x y) around 0 1.867 * [taylor]: Taking taylor expansion of (* x (pow (hypot (sqrt 1.0) y) 2)) in y 1.867 * [taylor]: Taking taylor expansion of x in y 1.867 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) y) 2) in y 1.867 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 1.867 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.867 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 1.867 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.867 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.867 * [taylor]: Taking taylor expansion of 1.0 in y 1.872 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.872 * [taylor]: Taking taylor expansion of 1.0 in y 1.873 * [taylor]: Taking taylor expansion of (* y y) in y 1.873 * [taylor]: Taking taylor expansion of y in y 1.873 * [taylor]: Taking taylor expansion of y in y 1.878 * [taylor]: Taking taylor expansion of (* x (pow (hypot (sqrt 1.0) y) 2)) in x 1.878 * [taylor]: Taking taylor expansion of x in x 1.878 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) y) 2) in x 1.878 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 1.878 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.878 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 1.878 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.878 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.878 * [taylor]: Taking taylor expansion of 1.0 in x 1.879 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.879 * [taylor]: Taking taylor expansion of 1.0 in x 1.880 * [taylor]: Taking taylor expansion of (* y y) in x 1.880 * [taylor]: Taking taylor expansion of y in x 1.880 * [taylor]: Taking taylor expansion of y in x 1.883 * [taylor]: Taking taylor expansion of (* x (pow (hypot (sqrt 1.0) y) 2)) in x 1.883 * [taylor]: Taking taylor expansion of x in x 1.883 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) y) 2) in x 1.883 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 1.883 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.883 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 1.883 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.883 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.883 * [taylor]: Taking taylor expansion of 1.0 in x 1.884 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.884 * [taylor]: Taking taylor expansion of 1.0 in x 1.885 * [taylor]: Taking taylor expansion of (* y y) in x 1.885 * [taylor]: Taking taylor expansion of y in x 1.885 * [taylor]: Taking taylor expansion of y in x 1.891 * [taylor]: Taking taylor expansion of 0 in y 1.893 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow (sqrt 1.0) 2)) in y 1.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.894 * [taylor]: Taking taylor expansion of y in y 1.894 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.894 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.894 * [taylor]: Taking taylor expansion of 1.0 in y 1.903 * [taylor]: Taking taylor expansion of 0 in y 1.912 * [taylor]: Taking taylor expansion of 0 in y 1.913 * [approximate]: Taking taylor expansion of (/ (pow (hypot (sqrt 1.0) (/ 1 y)) 2) x) in (x y) around 0 1.913 * [taylor]: Taking taylor expansion of (/ (pow (hypot (sqrt 1.0) (/ 1 y)) 2) x) in y 1.913 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) (/ 1 y)) 2) in y 1.913 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 1.913 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.913 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 1.913 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.913 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.913 * [taylor]: Taking taylor expansion of 1.0 in y 1.914 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.914 * [taylor]: Taking taylor expansion of 1.0 in y 1.915 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.915 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.915 * [taylor]: Taking taylor expansion of y in y 1.915 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.915 * [taylor]: Taking taylor expansion of y in y 1.918 * [taylor]: Taking taylor expansion of x in y 1.918 * [taylor]: Taking taylor expansion of (/ (pow (hypot (sqrt 1.0) (/ 1 y)) 2) x) in x 1.918 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) (/ 1 y)) 2) in x 1.918 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 1.918 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.919 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 1.919 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.919 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.919 * [taylor]: Taking taylor expansion of 1.0 in x 1.919 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.919 * [taylor]: Taking taylor expansion of 1.0 in x 1.920 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.920 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.920 * [taylor]: Taking taylor expansion of y in x 1.920 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.920 * [taylor]: Taking taylor expansion of y in x 1.924 * [taylor]: Taking taylor expansion of x in x 1.926 * [taylor]: Taking taylor expansion of (/ (pow (hypot (sqrt 1.0) (/ 1 y)) 2) x) in x 1.926 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) (/ 1 y)) 2) in x 1.926 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 1.926 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.927 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 1.927 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.927 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.927 * [taylor]: Taking taylor expansion of 1.0 in x 1.927 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.927 * [taylor]: Taking taylor expansion of 1.0 in x 1.928 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.928 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.928 * [taylor]: Taking taylor expansion of y in x 1.928 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.928 * [taylor]: Taking taylor expansion of y in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 1.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.934 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.934 * [taylor]: Taking taylor expansion of y in y 1.935 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.935 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.935 * [taylor]: Taking taylor expansion of 1.0 in y 1.939 * [taylor]: Taking taylor expansion of 0 in y 1.947 * [taylor]: Taking taylor expansion of 0 in y 1.958 * [taylor]: Taking taylor expansion of 0 in y 1.976 * [taylor]: Taking taylor expansion of 0 in y 1.988 * [taylor]: Taking taylor expansion of 0 in y 1.990 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (hypot (sqrt 1.0) (/ -1 y)) 2) x)) in (x y) around 0 1.990 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (hypot (sqrt 1.0) (/ -1 y)) 2) x)) in y 1.990 * [taylor]: Taking taylor expansion of -1 in y 1.990 * [taylor]: Taking taylor expansion of (/ (pow (hypot (sqrt 1.0) (/ -1 y)) 2) x) in y 1.990 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) (/ -1 y)) 2) in y 1.990 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 1.990 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.990 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 1.990 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.990 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.990 * [taylor]: Taking taylor expansion of 1.0 in y 1.991 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.991 * [taylor]: Taking taylor expansion of 1.0 in y 1.992 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.992 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.992 * [taylor]: Taking taylor expansion of -1 in y 1.992 * [taylor]: Taking taylor expansion of y in y 1.992 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.992 * [taylor]: Taking taylor expansion of -1 in y 1.992 * [taylor]: Taking taylor expansion of y in y 1.995 * [taylor]: Taking taylor expansion of x in y 1.995 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (hypot (sqrt 1.0) (/ -1 y)) 2) x)) in x 1.995 * [taylor]: Taking taylor expansion of -1 in x 1.995 * [taylor]: Taking taylor expansion of (/ (pow (hypot (sqrt 1.0) (/ -1 y)) 2) x) in x 1.995 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) (/ -1 y)) 2) in x 1.995 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 1.995 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.995 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 1.996 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.996 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.996 * [taylor]: Taking taylor expansion of 1.0 in x 1.996 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.996 * [taylor]: Taking taylor expansion of 1.0 in x 1.997 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.997 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.997 * [taylor]: Taking taylor expansion of -1 in x 1.997 * [taylor]: Taking taylor expansion of y in x 1.997 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.997 * [taylor]: Taking taylor expansion of -1 in x 1.997 * [taylor]: Taking taylor expansion of y in x 2.001 * [taylor]: Taking taylor expansion of x in x 2.003 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (hypot (sqrt 1.0) (/ -1 y)) 2) x)) in x 2.003 * [taylor]: Taking taylor expansion of -1 in x 2.003 * [taylor]: Taking taylor expansion of (/ (pow (hypot (sqrt 1.0) (/ -1 y)) 2) x) in x 2.003 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) (/ -1 y)) 2) in x 2.003 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 2.003 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.004 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 2.004 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.004 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.004 * [taylor]: Taking taylor expansion of 1.0 in x 2.004 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.004 * [taylor]: Taking taylor expansion of 1.0 in x 2.005 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.005 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.005 * [taylor]: Taking taylor expansion of -1 in x 2.005 * [taylor]: Taking taylor expansion of y in x 2.005 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.005 * [taylor]: Taking taylor expansion of -1 in x 2.005 * [taylor]: Taking taylor expansion of y in x 2.009 * [taylor]: Taking taylor expansion of x in x 2.012 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 2.012 * [taylor]: Taking taylor expansion of -1 in y 2.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 2.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.012 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.012 * [taylor]: Taking taylor expansion of y in y 2.013 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 2.013 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.013 * [taylor]: Taking taylor expansion of 1.0 in y 2.018 * [taylor]: Taking taylor expansion of 0 in y 2.028 * [taylor]: Taking taylor expansion of 0 in y 2.043 * [taylor]: Taking taylor expansion of 0 in y 2.063 * [taylor]: Taking taylor expansion of 0 in y 2.079 * [taylor]: Taking taylor expansion of 0 in y 2.080 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.080 * [approximate]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in (x y) around 0 2.080 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in y 2.080 * [taylor]: Taking taylor expansion of x in y 2.080 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 2.081 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 2.081 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 2.081 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.081 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.081 * [taylor]: Taking taylor expansion of 1.0 in y 2.081 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.081 * [taylor]: Taking taylor expansion of 1.0 in y 2.082 * [taylor]: Taking taylor expansion of (* y y) in y 2.082 * [taylor]: Taking taylor expansion of y in y 2.082 * [taylor]: Taking taylor expansion of y in y 2.086 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in x 2.087 * [taylor]: Taking taylor expansion of x in x 2.087 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 2.087 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 2.087 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 2.087 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.087 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.087 * [taylor]: Taking taylor expansion of 1.0 in x 2.087 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.087 * [taylor]: Taking taylor expansion of 1.0 in x 2.088 * [taylor]: Taking taylor expansion of (* y y) in x 2.088 * [taylor]: Taking taylor expansion of y in x 2.088 * [taylor]: Taking taylor expansion of y in x 2.092 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in x 2.092 * [taylor]: Taking taylor expansion of x in x 2.092 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 2.092 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 2.092 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 2.092 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.092 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.092 * [taylor]: Taking taylor expansion of 1.0 in x 2.093 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.093 * [taylor]: Taking taylor expansion of 1.0 in x 2.093 * [taylor]: Taking taylor expansion of (* y y) in x 2.093 * [taylor]: Taking taylor expansion of y in x 2.093 * [taylor]: Taking taylor expansion of y in x 2.098 * [taylor]: Taking taylor expansion of 0 in y 2.098 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow (sqrt 1.0) 2))) in y 2.099 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow (sqrt 1.0) 2)) in y 2.099 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.099 * [taylor]: Taking taylor expansion of y in y 2.099 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 2.099 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.099 * [taylor]: Taking taylor expansion of 1.0 in y 2.108 * [taylor]: Taking taylor expansion of 0 in y 2.114 * [taylor]: Taking taylor expansion of 0 in y 2.114 * [approximate]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in (x y) around 0 2.114 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in y 2.114 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 2.115 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 2.115 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 2.115 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.115 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.115 * [taylor]: Taking taylor expansion of 1.0 in y 2.115 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.115 * [taylor]: Taking taylor expansion of 1.0 in y 2.116 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.116 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.116 * [taylor]: Taking taylor expansion of y in y 2.116 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.116 * [taylor]: Taking taylor expansion of y in y 2.119 * [taylor]: Taking taylor expansion of x in y 2.119 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in x 2.119 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 2.120 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 2.120 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 2.120 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.120 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.120 * [taylor]: Taking taylor expansion of 1.0 in x 2.120 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.121 * [taylor]: Taking taylor expansion of 1.0 in x 2.121 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.121 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.121 * [taylor]: Taking taylor expansion of y in x 2.121 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.122 * [taylor]: Taking taylor expansion of y in x 2.126 * [taylor]: Taking taylor expansion of x in x 2.127 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in x 2.127 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 2.127 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 2.127 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 2.127 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.127 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.127 * [taylor]: Taking taylor expansion of 1.0 in x 2.127 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.128 * [taylor]: Taking taylor expansion of 1.0 in x 2.128 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.128 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.128 * [taylor]: Taking taylor expansion of y in x 2.128 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.128 * [taylor]: Taking taylor expansion of y in x 2.132 * [taylor]: Taking taylor expansion of x in x 2.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 2.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 2.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.133 * [taylor]: Taking taylor expansion of y in y 2.134 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 2.134 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.134 * [taylor]: Taking taylor expansion of 1.0 in y 2.138 * [taylor]: Taking taylor expansion of 0 in y 2.149 * [taylor]: Taking taylor expansion of 0 in y 2.162 * [taylor]: Taking taylor expansion of 0 in y 2.173 * [taylor]: Taking taylor expansion of 0 in y 2.174 * [approximate]: Taking taylor expansion of (* -1 (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in (x y) around 0 2.175 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in y 2.175 * [taylor]: Taking taylor expansion of -1 in y 2.175 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in y 2.175 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 2.175 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.175 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 2.175 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.175 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.175 * [taylor]: Taking taylor expansion of 1.0 in y 2.176 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.176 * [taylor]: Taking taylor expansion of 1.0 in y 2.176 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.176 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.176 * [taylor]: Taking taylor expansion of -1 in y 2.176 * [taylor]: Taking taylor expansion of y in y 2.177 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.177 * [taylor]: Taking taylor expansion of -1 in y 2.177 * [taylor]: Taking taylor expansion of y in y 2.180 * [taylor]: Taking taylor expansion of x in y 2.180 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in x 2.180 * [taylor]: Taking taylor expansion of -1 in x 2.180 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in x 2.180 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 2.180 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.180 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 2.180 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.180 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.180 * [taylor]: Taking taylor expansion of 1.0 in x 2.181 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.181 * [taylor]: Taking taylor expansion of 1.0 in x 2.181 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.181 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.181 * [taylor]: Taking taylor expansion of -1 in x 2.181 * [taylor]: Taking taylor expansion of y in x 2.182 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.182 * [taylor]: Taking taylor expansion of -1 in x 2.182 * [taylor]: Taking taylor expansion of y in x 2.185 * [taylor]: Taking taylor expansion of x in x 2.186 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in x 2.186 * [taylor]: Taking taylor expansion of -1 in x 2.186 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in x 2.186 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 2.186 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.186 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 2.187 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.187 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.187 * [taylor]: Taking taylor expansion of 1.0 in x 2.187 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.187 * [taylor]: Taking taylor expansion of 1.0 in x 2.188 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.188 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.188 * [taylor]: Taking taylor expansion of -1 in x 2.188 * [taylor]: Taking taylor expansion of y in x 2.188 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.188 * [taylor]: Taking taylor expansion of -1 in x 2.188 * [taylor]: Taking taylor expansion of y in x 2.192 * [taylor]: Taking taylor expansion of x in x 2.194 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)))) in y 2.194 * [taylor]: Taking taylor expansion of -1 in y 2.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 2.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 2.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.194 * [taylor]: Taking taylor expansion of y in y 2.194 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 2.194 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.194 * [taylor]: Taking taylor expansion of 1.0 in y 2.200 * [taylor]: Taking taylor expansion of 0 in y 2.207 * [taylor]: Taking taylor expansion of 0 in y 2.225 * [taylor]: Taking taylor expansion of 0 in y 2.246 * [taylor]: Taking taylor expansion of 0 in y 2.248 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.249 * [approximate]: Taking taylor expansion of (hypot (sqrt 1.0) y) in (y) around 0 2.249 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 2.249 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 2.249 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 2.249 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.249 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.249 * [taylor]: Taking taylor expansion of 1.0 in y 2.250 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.250 * [taylor]: Taking taylor expansion of 1.0 in y 2.251 * [taylor]: Taking taylor expansion of (* y y) in y 2.251 * [taylor]: Taking taylor expansion of y in y 2.251 * [taylor]: Taking taylor expansion of y in y 2.255 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 2.255 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 2.255 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 2.256 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.256 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.256 * [taylor]: Taking taylor expansion of 1.0 in y 2.256 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.256 * [taylor]: Taking taylor expansion of 1.0 in y 2.257 * [taylor]: Taking taylor expansion of (* y y) in y 2.257 * [taylor]: Taking taylor expansion of y in y 2.257 * [taylor]: Taking taylor expansion of y in y 2.281 * [approximate]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in (y) around 0 2.281 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 2.281 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 2.281 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 2.282 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.282 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.282 * [taylor]: Taking taylor expansion of 1.0 in y 2.282 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.282 * [taylor]: Taking taylor expansion of 1.0 in y 2.283 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.283 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.283 * [taylor]: Taking taylor expansion of y in y 2.283 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.283 * [taylor]: Taking taylor expansion of y in y 2.286 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 2.286 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 2.286 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 2.286 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.286 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.286 * [taylor]: Taking taylor expansion of 1.0 in y 2.287 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.287 * [taylor]: Taking taylor expansion of 1.0 in y 2.288 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.288 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.288 * [taylor]: Taking taylor expansion of y in y 2.288 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.288 * [taylor]: Taking taylor expansion of y in y 2.313 * [approximate]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in (y) around 0 2.313 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 2.313 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.313 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 2.313 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.313 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.313 * [taylor]: Taking taylor expansion of 1.0 in y 2.314 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.314 * [taylor]: Taking taylor expansion of 1.0 in y 2.314 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.314 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.314 * [taylor]: Taking taylor expansion of -1 in y 2.314 * [taylor]: Taking taylor expansion of y in y 2.315 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.315 * [taylor]: Taking taylor expansion of -1 in y 2.315 * [taylor]: Taking taylor expansion of y in y 2.318 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 2.318 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.318 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 2.318 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.318 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.318 * [taylor]: Taking taylor expansion of 1.0 in y 2.319 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.319 * [taylor]: Taking taylor expansion of 1.0 in y 2.320 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.320 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.320 * [taylor]: Taking taylor expansion of -1 in y 2.320 * [taylor]: Taking taylor expansion of y in y 2.320 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.320 * [taylor]: Taking taylor expansion of -1 in y 2.320 * [taylor]: Taking taylor expansion of y in y 2.352 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 2.352 * [approximate]: Taking taylor expansion of (hypot (sqrt 1.0) y) in (y) around 0 2.352 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 2.352 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 2.352 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 2.352 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.352 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.352 * [taylor]: Taking taylor expansion of 1.0 in y 2.353 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.353 * [taylor]: Taking taylor expansion of 1.0 in y 2.354 * [taylor]: Taking taylor expansion of (* y y) in y 2.354 * [taylor]: Taking taylor expansion of y in y 2.354 * [taylor]: Taking taylor expansion of y in y 2.358 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 2.358 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 2.358 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 2.358 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.359 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.359 * [taylor]: Taking taylor expansion of 1.0 in y 2.359 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.359 * [taylor]: Taking taylor expansion of 1.0 in y 2.360 * [taylor]: Taking taylor expansion of (* y y) in y 2.360 * [taylor]: Taking taylor expansion of y in y 2.360 * [taylor]: Taking taylor expansion of y in y 2.383 * [approximate]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in (y) around 0 2.383 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 2.383 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 2.383 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 2.383 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.383 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.383 * [taylor]: Taking taylor expansion of 1.0 in y 2.384 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.384 * [taylor]: Taking taylor expansion of 1.0 in y 2.385 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.385 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.385 * [taylor]: Taking taylor expansion of y in y 2.385 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.385 * [taylor]: Taking taylor expansion of y in y 2.388 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 2.388 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 2.388 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 2.388 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.388 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.388 * [taylor]: Taking taylor expansion of 1.0 in y 2.389 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.389 * [taylor]: Taking taylor expansion of 1.0 in y 2.389 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.389 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.389 * [taylor]: Taking taylor expansion of y in y 2.390 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.390 * [taylor]: Taking taylor expansion of y in y 2.420 * [approximate]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in (y) around 0 2.420 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 2.420 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.420 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 2.420 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.420 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.420 * [taylor]: Taking taylor expansion of 1.0 in y 2.421 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.421 * [taylor]: Taking taylor expansion of 1.0 in y 2.421 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.421 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.421 * [taylor]: Taking taylor expansion of -1 in y 2.421 * [taylor]: Taking taylor expansion of y in y 2.422 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.422 * [taylor]: Taking taylor expansion of -1 in y 2.422 * [taylor]: Taking taylor expansion of y in y 2.425 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 2.425 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.425 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 2.425 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.425 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.425 * [taylor]: Taking taylor expansion of 1.0 in y 2.425 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.425 * [taylor]: Taking taylor expansion of 1.0 in y 2.426 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.426 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.426 * [taylor]: Taking taylor expansion of -1 in y 2.426 * [taylor]: Taking taylor expansion of y in y 2.427 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.427 * [taylor]: Taking taylor expansion of -1 in y 2.427 * [taylor]: Taking taylor expansion of y in y 2.451 * * * [progress]: simplifying candidates 2.452 * [simplify]: Simplifying using # : (expm1 (* (* x (* 1 (hypot (sqrt 1.0) y))) (hypot (sqrt 1.0) y))) (log1p (* (* x (* 1 (hypot (sqrt 1.0) y))) (hypot (sqrt 1.0) y))) (* (* x (* 1 (hypot (sqrt 1.0) y))) (hypot (sqrt 1.0) y)) (* (* x (* 1 (hypot (sqrt 1.0) y))) (hypot (sqrt 1.0) y)) (* (* x (* 1 (hypot (sqrt 1.0) y))) (hypot (sqrt 1.0) y)) (+ (+ (log x) (+ 0 (log (hypot (sqrt 1.0) y)))) (log (hypot (sqrt 1.0) y))) (+ (+ (log x) (+ (log 1) (log (hypot (sqrt 1.0) y)))) (log (hypot (sqrt 1.0) y))) (+ (+ (log x) (log (* 1 (hypot (sqrt 1.0) y)))) (log (hypot (sqrt 1.0) y))) (+ (log (* x (* 1 (hypot (sqrt 1.0) y)))) (log (hypot (sqrt 1.0) y))) (log (* (* x (* 1 (hypot (sqrt 1.0) y))) (hypot (sqrt 1.0) y))) (exp (* (* x (* 1 (hypot (sqrt 1.0) y))) (hypot (sqrt 1.0) y))) (* (* (* (* x x) x) (* (* (* 1 1) 1) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y)))) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y))) (* (* (* (* x x) x) (* (* (* 1 (hypot (sqrt 1.0) y)) (* 1 (hypot (sqrt 1.0) y))) (* 1 (hypot (sqrt 1.0) y)))) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y))) (* (* (* (* x (* 1 (hypot (sqrt 1.0) y))) (* x (* 1 (hypot (sqrt 1.0) y)))) (* x (* 1 (hypot (sqrt 1.0) y)))) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y))) (* (cbrt (* (* x (* 1 (hypot (sqrt 1.0) y))) (hypot (sqrt 1.0) y))) (cbrt (* (* x (* 1 (hypot (sqrt 1.0) y))) (hypot (sqrt 1.0) y)))) (cbrt (* (* x (* 1 (hypot (sqrt 1.0) y))) (hypot (sqrt 1.0) y))) (* (* (* (* x (* 1 (hypot (sqrt 1.0) y))) (hypot (sqrt 1.0) y)) (* (* x (* 1 (hypot (sqrt 1.0) y))) (hypot (sqrt 1.0) y))) (* (* x (* 1 (hypot (sqrt 1.0) y))) (hypot (sqrt 1.0) y))) (sqrt (* (* x (* 1 (hypot (sqrt 1.0) y))) (hypot (sqrt 1.0) y))) (sqrt (* (* x (* 1 (hypot (sqrt 1.0) y))) (hypot (sqrt 1.0) y))) (* (* x (* 1 (hypot (sqrt 1.0) y))) (* (cbrt (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y)))) (* (* x (* 1 (hypot (sqrt 1.0) y))) (sqrt (hypot (sqrt 1.0) y))) (* (* x (* 1 (hypot (sqrt 1.0) y))) 1) (* (* 1 (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y)) (expm1 (* x (* 1 (hypot (sqrt 1.0) y)))) (log1p (* x (* 1 (hypot (sqrt 1.0) y)))) (* x (* 1 (hypot (sqrt 1.0) y))) (* x (* 1 (hypot (sqrt 1.0) y))) (+ (log x) (+ 0 (log (hypot (sqrt 1.0) y)))) (+ (log x) (+ (log 1) (log (hypot (sqrt 1.0) y)))) (+ (log x) (log (* 1 (hypot (sqrt 1.0) y)))) (log (* x (* 1 (hypot (sqrt 1.0) y)))) (exp (* x (* 1 (hypot (sqrt 1.0) y)))) (* (* (* x x) x) (* (* (* 1 1) 1) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y)))) (* (* (* x x) x) (* (* (* 1 (hypot (sqrt 1.0) y)) (* 1 (hypot (sqrt 1.0) y))) (* 1 (hypot (sqrt 1.0) y)))) (* (cbrt (* x (* 1 (hypot (sqrt 1.0) y)))) (cbrt (* x (* 1 (hypot (sqrt 1.0) y))))) (cbrt (* x (* 1 (hypot (sqrt 1.0) y)))) (* (* (* x (* 1 (hypot (sqrt 1.0) y))) (* x (* 1 (hypot (sqrt 1.0) y)))) (* x (* 1 (hypot (sqrt 1.0) y)))) (sqrt (* x (* 1 (hypot (sqrt 1.0) y)))) (sqrt (* x (* 1 (hypot (sqrt 1.0) y)))) (* x 1) (* (cbrt x) (* 1 (hypot (sqrt 1.0) y))) (* (sqrt x) (* 1 (hypot (sqrt 1.0) y))) (* x (* 1 (hypot (sqrt 1.0) y))) (expm1 (hypot (sqrt 1.0) y)) (log1p (hypot (sqrt 1.0) y)) (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) (log (hypot (sqrt 1.0) y)) (exp (hypot (sqrt 1.0) y)) (* (cbrt (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y))) (cbrt (hypot (sqrt 1.0) y)) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) (expm1 (hypot (sqrt 1.0) y)) (log1p (hypot (sqrt 1.0) y)) (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) (log (hypot (sqrt 1.0) y)) (exp (hypot (sqrt 1.0) y)) (* (cbrt (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y))) (cbrt (hypot (sqrt 1.0) y)) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) (* x (pow (sqrt 1.0) 2)) (+ (* x (pow y 2)) (* x (pow (sqrt 1.0) 2))) (+ (* x (pow y 2)) (* x (pow (sqrt 1.0) 2))) (* x (sqrt 1.0)) (+ (* 1/2 (/ (* x (pow (sqrt 1.0) 2)) y)) (* x y)) (- (+ (* 1/2 (/ (* x (pow (sqrt 1.0) 2)) y)) (* x y))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ (* 1/2 (/ (pow (sqrt 1.0) 2) y)) y) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow y 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow y 3))) (+ (* 1/2 (/ (pow (sqrt 1.0) 2) y)) y)) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ (* 1/2 (/ (pow (sqrt 1.0) 2) y)) y) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow y 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow y 3))) (+ (* 1/2 (/ (pow (sqrt 1.0) 2) y)) y)) 2.457 * * [simplify]: iteration 0 : 275 enodes (cost 506 ) 2.463 * * [simplify]: iteration 1 : 1136 enodes (cost 392 ) 2.487 * * [simplify]: iteration 2 : 4856 enodes (cost 377 ) 2.586 * * [simplify]: iteration 3 : 5001 enodes (cost 375 ) 2.588 * [simplify]: Simplified to: (expm1 (* (* x (* 1 (hypot (sqrt 1.0) y))) (hypot (sqrt 1.0) y))) (log1p (* (* x (* 1 (hypot (sqrt 1.0) y))) (hypot (sqrt 1.0) y))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (fma 2 (log (hypot (sqrt 1.0) y)) (log x)) (fma 2 (log (hypot (sqrt 1.0) y)) (log x)) (fma 2 (log (hypot (sqrt 1.0) y)) (log x)) (fma 2 (log (hypot (sqrt 1.0) y)) (log x)) (fma 2 (log (hypot (sqrt 1.0) y)) (log x)) (pow (exp x) (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y))) (* (* (pow (hypot (sqrt 1.0) y) 6) x) (* x x)) (* (* (pow (hypot (sqrt 1.0) y) 6) x) (* x x)) (* (* (pow (hypot (sqrt 1.0) y) 6) x) (* x x)) (* (cbrt (* (* x (* 1 (hypot (sqrt 1.0) y))) (hypot (sqrt 1.0) y))) (cbrt (* (* x (* 1 (hypot (sqrt 1.0) y))) (hypot (sqrt 1.0) y)))) (cbrt (* (* x (* 1 (hypot (sqrt 1.0) y))) (hypot (sqrt 1.0) y))) (* (* (pow (hypot (sqrt 1.0) y) 6) x) (* x x)) (sqrt (* (* x (* 1 (hypot (sqrt 1.0) y))) (hypot (sqrt 1.0) y))) (sqrt (* (* x (* 1 (hypot (sqrt 1.0) y))) (hypot (sqrt 1.0) y))) (* (* (* x (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y))) (cbrt (hypot (sqrt 1.0) y))) (* x (* (hypot (sqrt 1.0) y) (sqrt (hypot (sqrt 1.0) y)))) (* x (hypot (sqrt 1.0) y)) (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (expm1 (* x (* 1 (hypot (sqrt 1.0) y)))) (log1p (* x (* 1 (hypot (sqrt 1.0) y)))) (* x (hypot (sqrt 1.0) y)) (* x (hypot (sqrt 1.0) y)) (log (* x (hypot (sqrt 1.0) y))) (log (* x (hypot (sqrt 1.0) y))) (log (* x (hypot (sqrt 1.0) y))) (log (* x (hypot (sqrt 1.0) y))) (pow (exp x) (hypot (sqrt 1.0) y)) (pow (* x (hypot (sqrt 1.0) y)) 3) (pow (* x (hypot (sqrt 1.0) y)) 3) (* (cbrt (* x (* 1 (hypot (sqrt 1.0) y)))) (cbrt (* x (* 1 (hypot (sqrt 1.0) y))))) (cbrt (* x (* 1 (hypot (sqrt 1.0) y)))) (pow (* x (hypot (sqrt 1.0) y)) 3) (sqrt (* x (* 1 (hypot (sqrt 1.0) y)))) (sqrt (* x (* 1 (hypot (sqrt 1.0) y)))) x (* (hypot (sqrt 1.0) y) (cbrt x)) (* (hypot (sqrt 1.0) y) (sqrt x)) (* x (hypot (sqrt 1.0) y)) (expm1 (hypot (sqrt 1.0) y)) (log1p (hypot (sqrt 1.0) y)) (fma y y 1.0) (log (hypot (sqrt 1.0) y)) (exp (hypot (sqrt 1.0) y)) (* (cbrt (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y))) (cbrt (hypot (sqrt 1.0) y)) (pow (hypot (sqrt 1.0) y) 3) (sqrt (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) (expm1 (hypot (sqrt 1.0) y)) (log1p (hypot (sqrt 1.0) y)) (fma y y 1.0) (log (hypot (sqrt 1.0) y)) (exp (hypot (sqrt 1.0) y)) (* (cbrt (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y))) (cbrt (hypot (sqrt 1.0) y)) (pow (hypot (sqrt 1.0) y) 3) (sqrt (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) (* 1.0 x) (* x (fma y y 1.0)) (* x (fma y y 1.0)) (* x (sqrt 1.0)) (fma (/ x (/ y 1.0)) 1/2 (* x y)) (- (* (- 1/2) (/ x (/ y 1.0))) (* x y)) (fma 1/2 (/ (pow y 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3))))) (fma (/ 1/2 y) 1.0 (- y (/ (* (* 1.0 1.0) 1/8) (pow y 3)))) (- (- (/ (* (* 1.0 1.0) 1/8) (pow y 3)) y) (/ (* 1/2 1.0) y)) (fma 1/2 (/ (pow y 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3))))) (fma (/ 1/2 y) 1.0 (- y (/ (* (* 1.0 1.0) 1/8) (pow y 3)))) (- (- (/ (* (* 1.0 1.0) 1/8) (pow y 3)) y) (/ (* 1/2 1.0) y)) 2.588 * * * [progress]: adding candidates to table 2.776 * [progress]: [Phase 3 of 3] Extracting. 2.776 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.777 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 2.777 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # #) 2.803 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # # # #) 2.823 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# # # # # # #) 2.849 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 2.875 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 2.898 * * * [regime]: Found split indices: #