29.366 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.017 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.018 * * [simplify]: iteration 1 : 23 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 30 enodes (cost 3 ) 0.021 * * [simplify]: iteration 3 : 31 enodes (cost 3 ) 0.023 * * [simplify]: iteration 4 : 31 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.036 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.039 * * * [progress]: generating series expansions 0.039 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.039 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of 1.0 in y 0.039 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of 1.0 in x 0.039 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 1.0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 1.0 in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of 1.0 in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of 1.0 in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 1.0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.064 * [taylor]: Taking taylor expansion of -1 in y 0.064 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of 1.0 in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.065 * [taylor]: Taking taylor expansion of -1 in x 0.065 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.065 * [taylor]: Taking taylor expansion of -1 in x 0.065 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.066 * [taylor]: Taking taylor expansion of -1 in y 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of 1.0 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.097 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.097 * [approximate]: Taking taylor expansion of (+ (pow y 2) 1.0) in (y) around 0 0.097 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of 1.0 in y 0.097 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of 1.0 in y 0.103 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in (y) around 0 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of 1.0 in y 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of 1.0 in y 0.116 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in (y) around 0 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of 1.0 in y 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.117 * [taylor]: Taking taylor expansion of 1.0 in y 0.129 * * * [progress]: simplifying candidates 0.129 * [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) 0.133 * * [simplify]: iteration 0 : 176 enodes (cost 185 ) 0.138 * * [simplify]: iteration 1 : 831 enodes (cost 149 ) 0.156 * * [simplify]: iteration 2 : 3617 enodes (cost 145 ) 0.221 * * [simplify]: iteration 3 : 5001 enodes (cost 144 ) 0.222 * [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) 0.223 * * * [progress]: adding candidates to table 0.309 * * [progress]: iteration 2 / 4 0.310 * * * [progress]: picking best candidate 0.317 * * * * [pick]: Picked # 0.317 * * * [progress]: localizing error 0.322 * * * [progress]: generating rewritten candidates 0.322 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.325 * * * [progress]: generating series expansions 0.325 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.326 * [approximate]: Taking taylor expansion of (* (fma y y 1.0) x) in (x y) around 0 0.326 * [taylor]: Taking taylor expansion of (* (fma y y 1.0) x) in y 0.326 * [taylor]: Taking taylor expansion of (fma y y 1.0) in y 0.326 * [taylor]: Rewrote expression to (+ (* y y) 1.0) 0.326 * [taylor]: Taking taylor expansion of (* y y) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of 1.0 in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of (* (fma y y 1.0) x) in x 0.326 * [taylor]: Taking taylor expansion of (fma y y 1.0) in x 0.326 * [taylor]: Rewrote expression to (+ (* y y) 1.0) 0.326 * [taylor]: Taking taylor expansion of (* y y) in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (* (fma y y 1.0) x) in x 0.326 * [taylor]: Taking taylor expansion of (fma y y 1.0) in x 0.326 * [taylor]: Rewrote expression to (+ (* y y) 1.0) 0.326 * [taylor]: Taking taylor expansion of (* y y) in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.327 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of 1.0 in y 0.329 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [approximate]: Taking taylor expansion of (/ (fma (/ 1 y) (/ 1 y) 1.0) x) in (x y) around 0 0.331 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 y) (/ 1 y) 1.0) x) in y 0.331 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) 1.0) in y 0.331 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) 1.0) 0.331 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of 1.0 in y 0.332 * [taylor]: Taking taylor expansion of x in y 0.332 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 y) (/ 1 y) 1.0) x) in x 0.332 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) 1.0) in x 0.332 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) 1.0) 0.332 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 y) (/ 1 y) 1.0) x) in x 0.333 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) 1.0) in x 0.333 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) 1.0) 0.333 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of 1.0 in y 0.335 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [approximate]: Taking taylor expansion of (* -1 (/ (fma (/ -1 y) (/ -1 y) 1.0) x)) in (x y) around 0 0.353 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 y) (/ -1 y) 1.0) x)) in y 0.353 * [taylor]: Taking taylor expansion of -1 in y 0.353 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 y) (/ -1 y) 1.0) x) in y 0.353 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) 1.0) in y 0.353 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) 1.0) 0.353 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.353 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.354 * [taylor]: Taking taylor expansion of -1 in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.354 * [taylor]: Taking taylor expansion of -1 in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of 1.0 in y 0.354 * [taylor]: Taking taylor expansion of x in y 0.355 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 y) (/ -1 y) 1.0) x)) in x 0.355 * [taylor]: Taking taylor expansion of -1 in x 0.355 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 y) (/ -1 y) 1.0) x) in x 0.355 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) 1.0) in x 0.355 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) 1.0) 0.355 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.355 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.355 * [taylor]: Taking taylor expansion of -1 in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.355 * [taylor]: Taking taylor expansion of -1 in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of 1.0 in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 y) (/ -1 y) 1.0) x)) in x 0.355 * [taylor]: Taking taylor expansion of -1 in x 0.355 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 y) (/ -1 y) 1.0) x) in x 0.355 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) 1.0) in x 0.355 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) 1.0) 0.355 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.356 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.356 * [taylor]: Taking taylor expansion of -1 in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.356 * [taylor]: Taking taylor expansion of -1 in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.356 * [taylor]: Taking taylor expansion of -1 in y 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.357 * [taylor]: Taking taylor expansion of 1.0 in y 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.381 * * * [progress]: simplifying candidates 0.381 * [simplify]: Simplifying using # : (expm1 (* x (fma y y 1.0))) (log1p (* x (fma y y 1.0))) (* x (fma y y 1.0)) (+ (log x) (log (fma y y 1.0))) (log (* x (fma y y 1.0))) (exp (* x (fma y y 1.0))) (* (* (* x x) x) (* (* (fma y y 1.0) (fma y y 1.0)) (fma y y 1.0))) (* (cbrt (* x (fma y y 1.0))) (cbrt (* x (fma y y 1.0)))) (cbrt (* x (fma y y 1.0))) (* (* (* x (fma y y 1.0)) (* x (fma y y 1.0))) (* x (fma y y 1.0))) (sqrt (* x (fma y y 1.0))) (sqrt (* x (fma y y 1.0))) (* (sqrt x) (sqrt (fma y y 1.0))) (* (sqrt x) (sqrt (fma y y 1.0))) (* x (* y y)) (* x 1.0) (* (* y y) x) (* 1.0 x) (* x (* (cbrt (fma y y 1.0)) (cbrt (fma y y 1.0)))) (* x (sqrt (fma y y 1.0))) (* x 1) (* (cbrt x) (fma y y 1.0)) (* (sqrt x) (fma y y 1.0)) (* x (fma y y 1.0)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.385 * * [simplify]: iteration 0 : 83 enodes (cost 87 ) 0.387 * * [simplify]: iteration 1 : 341 enodes (cost 75 ) 0.394 * * [simplify]: iteration 2 : 1579 enodes (cost 75 ) 0.420 * * [simplify]: iteration 3 : 5001 enodes (cost 75 ) 0.421 * [simplify]: Simplified to: (expm1 (* x (fma y y 1.0))) (log1p (* x (fma y y 1.0))) (* x (fma y y 1.0)) (log (* x (fma y y 1.0))) (log (* x (fma y y 1.0))) (exp (* x (fma y y 1.0))) (pow (* x (fma y y 1.0)) 3) (* (cbrt (* x (fma y y 1.0))) (cbrt (* x (fma y y 1.0)))) (cbrt (* x (fma y y 1.0))) (pow (* x (fma y y 1.0)) 3) (sqrt (* x (fma y y 1.0))) (sqrt (* x (fma y y 1.0))) (* (sqrt x) (sqrt (fma y y 1.0))) (* (sqrt x) (sqrt (fma y y 1.0))) (* x (* y y)) (* x 1.0) (* x (* y y)) (* x 1.0) (* x (* (cbrt (fma y y 1.0)) (cbrt (fma y y 1.0)))) (* x (sqrt (fma y y 1.0))) x (* (cbrt x) (fma y y 1.0)) (* (sqrt x) (fma y y 1.0)) (* x (fma y y 1.0)) (* x 1.0) (* x (fma y y 1.0)) (* x (fma y y 1.0)) 0.421 * * * [progress]: adding candidates to table 0.457 * * [progress]: iteration 3 / 4 0.457 * * * [progress]: picking best candidate 0.463 * * * * [pick]: Picked # 0.463 * * * [progress]: localizing error 0.470 * * * [progress]: generating rewritten candidates 0.470 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.473 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.476 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.496 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.507 * * * [progress]: generating series expansions 0.507 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.508 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.508 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.508 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of 1.0 in y 0.509 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.509 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.509 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.509 * [taylor]: Taking taylor expansion of 1.0 in y 0.523 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.523 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.523 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.523 * [taylor]: Taking taylor expansion of y in y 0.523 * [taylor]: Taking taylor expansion of 1.0 in y 0.529 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.529 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.529 * [taylor]: Taking taylor expansion of 1.0 in y 0.540 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.540 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.541 * [taylor]: Taking taylor expansion of 1.0 in y 0.543 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.543 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.543 * [taylor]: Taking taylor expansion of y in y 0.543 * [taylor]: Taking taylor expansion of 1.0 in y 0.554 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.554 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.554 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.554 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.554 * [taylor]: Taking taylor expansion of 1.0 in y 0.555 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.555 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.555 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.555 * [taylor]: Taking taylor expansion of 1.0 in y 0.568 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.568 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.569 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.569 * [taylor]: Taking taylor expansion of y in y 0.569 * [taylor]: Taking taylor expansion of 1.0 in y 0.571 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of 1.0 in y 0.582 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.582 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.583 * [taylor]: Taking taylor expansion of 1.0 in y 0.585 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.585 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.585 * [taylor]: Taking taylor expansion of 1.0 in y 0.596 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.596 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.596 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.596 * [taylor]: Taking taylor expansion of x in y 0.596 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.596 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.596 * [taylor]: Taking taylor expansion of y in y 0.596 * [taylor]: Taking taylor expansion of 1.0 in y 0.596 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.596 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.596 * [taylor]: Taking taylor expansion of y in x 0.596 * [taylor]: Taking taylor expansion of 1.0 in x 0.597 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) 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 0.597 * [taylor]: Taking taylor expansion of 0 in y 0.597 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.597 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.598 * [taylor]: Taking taylor expansion of y in y 0.598 * [taylor]: Taking taylor expansion of 1.0 in y 0.599 * [taylor]: Taking taylor expansion of 0 in y 0.601 * [taylor]: Taking taylor expansion of 0 in y 0.601 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.601 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.601 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of 1.0 in y 0.602 * [taylor]: Taking taylor expansion of x in y 0.602 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.603 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.603 * [taylor]: Taking taylor expansion of y in x 0.603 * [taylor]: Taking taylor expansion of 1.0 in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.603 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of 1.0 in y 0.605 * [taylor]: Taking taylor expansion of 0 in y 0.608 * [taylor]: Taking taylor expansion of 0 in y 0.617 * [taylor]: Taking taylor expansion of 0 in y 0.621 * [taylor]: Taking taylor expansion of 0 in y 0.626 * [taylor]: Taking taylor expansion of 0 in y 0.626 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.626 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.626 * [taylor]: Taking taylor expansion of -1 in y 0.626 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.626 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of 1.0 in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.627 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.627 * [taylor]: Taking taylor expansion of -1 in x 0.627 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.627 * [taylor]: Taking taylor expansion of y in x 0.627 * [taylor]: Taking taylor expansion of 1.0 in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.628 * [taylor]: Taking taylor expansion of -1 in x 0.628 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.628 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.628 * [taylor]: Taking taylor expansion of 1.0 in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.628 * [taylor]: Taking taylor expansion of -1 in y 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.628 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.629 * [taylor]: Taking taylor expansion of 1.0 in y 0.631 * [taylor]: Taking taylor expansion of 0 in y 0.634 * [taylor]: Taking taylor expansion of 0 in y 0.640 * [taylor]: Taking taylor expansion of 0 in y 0.646 * [taylor]: Taking taylor expansion of 0 in y 0.654 * [taylor]: Taking taylor expansion of 0 in y 0.654 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.654 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.654 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.655 * [taylor]: Taking taylor expansion of x in y 0.655 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.655 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.655 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.655 * [taylor]: Taking taylor expansion of y in y 0.655 * [taylor]: Taking taylor expansion of 1.0 in y 0.656 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.656 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.656 * [taylor]: Taking taylor expansion of 1.0 in x 0.656 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.657 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.657 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.657 * [taylor]: Taking taylor expansion of y in x 0.657 * [taylor]: Taking taylor expansion of 1.0 in x 0.657 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.658 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.658 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.658 * [taylor]: Taking taylor expansion of y in y 0.658 * [taylor]: Taking taylor expansion of 1.0 in y 0.661 * [taylor]: Taking taylor expansion of 0 in y 0.663 * [taylor]: Taking taylor expansion of 0 in y 0.663 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.663 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.663 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.663 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.663 * [taylor]: Taking taylor expansion of y in y 0.664 * [taylor]: Taking taylor expansion of 1.0 in y 0.666 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.666 * [taylor]: Taking taylor expansion of x in y 0.666 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.666 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.666 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.666 * [taylor]: Taking taylor expansion of y in x 0.666 * [taylor]: Taking taylor expansion of 1.0 in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.667 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.667 * [taylor]: Taking taylor expansion of y in x 0.667 * [taylor]: Taking taylor expansion of 1.0 in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.669 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.669 * [taylor]: Taking taylor expansion of y in y 0.669 * [taylor]: Taking taylor expansion of 1.0 in y 0.672 * [taylor]: Taking taylor expansion of 0 in y 0.674 * [taylor]: Taking taylor expansion of 0 in y 0.681 * [taylor]: Taking taylor expansion of 0 in y 0.686 * [taylor]: Taking taylor expansion of 0 in y 0.687 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.687 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.687 * [taylor]: Taking taylor expansion of -1 in y 0.687 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.687 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.687 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.687 * [taylor]: Taking taylor expansion of y in y 0.688 * [taylor]: Taking taylor expansion of 1.0 in y 0.690 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.690 * [taylor]: Taking taylor expansion of x in y 0.690 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.690 * [taylor]: Taking taylor expansion of -1 in x 0.690 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.690 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.690 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.690 * [taylor]: Taking taylor expansion of y in x 0.690 * [taylor]: Taking taylor expansion of 1.0 in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.691 * [taylor]: Taking taylor expansion of -1 in x 0.691 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.691 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.691 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.691 * [taylor]: Taking taylor expansion of y in x 0.691 * [taylor]: Taking taylor expansion of 1.0 in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.693 * [taylor]: Taking taylor expansion of -1 in y 0.693 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.693 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.693 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of 1.0 in y 0.697 * [taylor]: Taking taylor expansion of 0 in y 0.700 * [taylor]: Taking taylor expansion of 0 in y 0.714 * [taylor]: Taking taylor expansion of 0 in y 0.721 * [taylor]: Taking taylor expansion of 0 in y 0.722 * * * [progress]: simplifying candidates 0.723 * [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))) 0.729 * * [simplify]: iteration 0 : 318 enodes (cost 722 ) 0.737 * * [simplify]: iteration 1 : 1367 enodes (cost 620 ) 0.763 * * [simplify]: iteration 2 : 5002 enodes (cost 595 ) 0.767 * [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))) 0.767 * * * [progress]: adding candidates to table 1.022 * * [progress]: iteration 4 / 4 1.022 * * * [progress]: picking best candidate 1.031 * * * * [pick]: Picked # 1.032 * * * [progress]: localizing error 1.043 * * * [progress]: generating rewritten candidates 1.043 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.046 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 1.049 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.130 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.153 * * * [progress]: generating series expansions 1.153 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.153 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.153 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.153 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.153 * [taylor]: Taking taylor expansion of y in y 1.153 * [taylor]: Taking taylor expansion of 1.0 in y 1.155 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.155 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.155 * [taylor]: Taking taylor expansion of y in y 1.155 * [taylor]: Taking taylor expansion of 1.0 in y 1.168 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.169 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.169 * [taylor]: Taking taylor expansion of y in y 1.169 * [taylor]: Taking taylor expansion of 1.0 in y 1.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.175 * [taylor]: Taking taylor expansion of y in y 1.176 * [taylor]: Taking taylor expansion of 1.0 in y 1.187 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.187 * [taylor]: Taking taylor expansion of y in y 1.187 * [taylor]: Taking taylor expansion of 1.0 in y 1.189 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.189 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.189 * [taylor]: Taking taylor expansion of y in y 1.190 * [taylor]: Taking taylor expansion of 1.0 in y 1.201 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 1.201 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.201 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.201 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.201 * [taylor]: Taking taylor expansion of y in y 1.201 * [taylor]: Taking taylor expansion of 1.0 in y 1.202 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.202 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.202 * [taylor]: Taking taylor expansion of y in y 1.202 * [taylor]: Taking taylor expansion of 1.0 in y 1.216 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.216 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.216 * [taylor]: Taking taylor expansion of y in y 1.216 * [taylor]: Taking taylor expansion of 1.0 in y 1.218 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.218 * [taylor]: Taking taylor expansion of y in y 1.219 * [taylor]: Taking taylor expansion of 1.0 in y 1.230 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.230 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.230 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.230 * [taylor]: Taking taylor expansion of y in y 1.230 * [taylor]: Taking taylor expansion of 1.0 in y 1.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.232 * [taylor]: Taking taylor expansion of y in y 1.233 * [taylor]: Taking taylor expansion of 1.0 in y 1.244 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.244 * [approximate]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 1.244 * [taylor]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (sqrt (+ (pow y 2) 1.0))) in y 1.244 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in y 1.244 * [taylor]: Taking taylor expansion of x in y 1.244 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 1.245 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.245 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 1.245 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.245 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.245 * [taylor]: Taking taylor expansion of 1.0 in y 1.245 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.245 * [taylor]: Taking taylor expansion of 1.0 in y 1.246 * [taylor]: Taking taylor expansion of (* y y) in y 1.246 * [taylor]: Taking taylor expansion of y in y 1.246 * [taylor]: Taking taylor expansion of y in y 1.251 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.251 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.251 * [taylor]: Taking taylor expansion of y in y 1.251 * [taylor]: Taking taylor expansion of 1.0 in y 1.252 * [taylor]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (sqrt (+ (pow y 2) 1.0))) in x 1.252 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in x 1.252 * [taylor]: Taking taylor expansion of x in x 1.252 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 1.252 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.252 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 1.252 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.252 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.252 * [taylor]: Taking taylor expansion of 1.0 in x 1.253 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.253 * [taylor]: Taking taylor expansion of 1.0 in x 1.253 * [taylor]: Taking taylor expansion of (* y y) in x 1.253 * [taylor]: Taking taylor expansion of y in x 1.253 * [taylor]: Taking taylor expansion of y in x 1.263 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 1.263 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.263 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.263 * [taylor]: Taking taylor expansion of y in x 1.263 * [taylor]: Taking taylor expansion of 1.0 in x 1.264 * [taylor]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (sqrt (+ (pow y 2) 1.0))) in x 1.264 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.264 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 1.264 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.264 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 1.264 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.264 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.264 * [taylor]: Taking taylor expansion of 1.0 in x 1.265 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.265 * [taylor]: Taking taylor expansion of 1.0 in x 1.266 * [taylor]: Taking taylor expansion of (* y y) in x 1.266 * [taylor]: Taking taylor expansion of y in x 1.266 * [taylor]: Taking taylor expansion of y in x 1.269 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 1.269 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.269 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.269 * [taylor]: Taking taylor expansion of y in x 1.269 * [taylor]: Taking taylor expansion of 1.0 in x 1.271 * [taylor]: Taking taylor expansion of 0 in y 1.273 * [taylor]: Taking taylor expansion of (sqrt (* (+ (pow y 2) (pow (sqrt 1.0) 2)) (+ (pow y 2) 1.0))) in y 1.273 * [taylor]: Taking taylor expansion of (* (+ (pow y 2) (pow (sqrt 1.0) 2)) (+ (pow y 2) 1.0)) in y 1.273 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow (sqrt 1.0) 2)) in y 1.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.273 * [taylor]: Taking taylor expansion of y in y 1.273 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.273 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.273 * [taylor]: Taking taylor expansion of 1.0 in y 1.274 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.274 * [taylor]: Taking taylor expansion of y in y 1.274 * [taylor]: Taking taylor expansion of 1.0 in y 1.287 * [taylor]: Taking taylor expansion of 0 in y 1.295 * [taylor]: Taking taylor expansion of 0 in y 1.297 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ 1 y)) x)) in (x y) around 0 1.297 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ 1 y)) x)) in y 1.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.297 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.297 * [taylor]: Taking taylor expansion of y in y 1.297 * [taylor]: Taking taylor expansion of 1.0 in y 1.299 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in y 1.299 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 1.299 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.299 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 1.299 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.299 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.299 * [taylor]: Taking taylor expansion of 1.0 in y 1.300 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.300 * [taylor]: Taking taylor expansion of 1.0 in y 1.301 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.301 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.301 * [taylor]: Taking taylor expansion of y in y 1.301 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.301 * [taylor]: Taking taylor expansion of y in y 1.304 * [taylor]: Taking taylor expansion of x in y 1.304 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ 1 y)) x)) in x 1.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.304 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.304 * [taylor]: Taking taylor expansion of y in x 1.304 * [taylor]: Taking taylor expansion of 1.0 in x 1.305 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in x 1.305 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 1.305 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.305 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 1.305 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.305 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.305 * [taylor]: Taking taylor expansion of 1.0 in x 1.306 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.306 * [taylor]: Taking taylor expansion of 1.0 in x 1.306 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.306 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.306 * [taylor]: Taking taylor expansion of y in x 1.306 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.306 * [taylor]: Taking taylor expansion of y in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.311 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ 1 y)) x)) in x 1.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.311 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.311 * [taylor]: Taking taylor expansion of y in x 1.311 * [taylor]: Taking taylor expansion of 1.0 in x 1.312 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in x 1.312 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 1.312 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.312 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 1.312 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.312 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.312 * [taylor]: Taking taylor expansion of 1.0 in x 1.313 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.313 * [taylor]: Taking taylor expansion of 1.0 in x 1.313 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.313 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.313 * [taylor]: Taking taylor expansion of y in x 1.313 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.313 * [taylor]: Taking taylor expansion of y in x 1.317 * [taylor]: Taking taylor expansion of x in x 1.319 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 (pow y 2)) 1.0) (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)))) in y 1.319 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y 2)) 1.0) (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 1.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.319 * [taylor]: Taking taylor expansion of y in y 1.320 * [taylor]: Taking taylor expansion of 1.0 in y 1.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 1.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.320 * [taylor]: Taking taylor expansion of y in y 1.320 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.320 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.320 * [taylor]: Taking taylor expansion of 1.0 in y 1.327 * [taylor]: Taking taylor expansion of 0 in y 1.334 * [taylor]: Taking taylor expansion of 0 in y 1.360 * [taylor]: Taking taylor expansion of 0 in y 1.375 * [taylor]: Taking taylor expansion of 0 in y 1.401 * [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 1.401 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in y 1.401 * [taylor]: Taking taylor expansion of -1 in y 1.401 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in y 1.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.401 * [taylor]: Taking taylor expansion of y in y 1.402 * [taylor]: Taking taylor expansion of 1.0 in y 1.404 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in y 1.404 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 1.404 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.404 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 1.404 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.404 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.404 * [taylor]: Taking taylor expansion of 1.0 in y 1.405 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.405 * [taylor]: Taking taylor expansion of 1.0 in y 1.405 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.406 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.406 * [taylor]: Taking taylor expansion of -1 in y 1.406 * [taylor]: Taking taylor expansion of y in y 1.406 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.406 * [taylor]: Taking taylor expansion of -1 in y 1.406 * [taylor]: Taking taylor expansion of y in y 1.409 * [taylor]: Taking taylor expansion of x in y 1.409 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in x 1.409 * [taylor]: Taking taylor expansion of -1 in x 1.409 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in x 1.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.409 * [taylor]: Taking taylor expansion of y in x 1.409 * [taylor]: Taking taylor expansion of 1.0 in x 1.410 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in x 1.410 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 1.410 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.410 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 1.410 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.410 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.410 * [taylor]: Taking taylor expansion of 1.0 in x 1.411 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.411 * [taylor]: Taking taylor expansion of 1.0 in x 1.411 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.411 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.411 * [taylor]: Taking taylor expansion of -1 in x 1.411 * [taylor]: Taking taylor expansion of y in x 1.411 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.411 * [taylor]: Taking taylor expansion of -1 in x 1.411 * [taylor]: Taking taylor expansion of y in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in x 1.416 * [taylor]: Taking taylor expansion of -1 in x 1.416 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in x 1.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.416 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.416 * [taylor]: Taking taylor expansion of y in x 1.416 * [taylor]: Taking taylor expansion of 1.0 in x 1.417 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in x 1.417 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 1.417 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.417 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 1.417 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.417 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.417 * [taylor]: Taking taylor expansion of 1.0 in x 1.418 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.418 * [taylor]: Taking taylor expansion of 1.0 in x 1.419 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.419 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.419 * [taylor]: Taking taylor expansion of -1 in x 1.419 * [taylor]: Taking taylor expansion of y in x 1.419 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.419 * [taylor]: Taking taylor expansion of -1 in x 1.419 * [taylor]: Taking taylor expansion of y in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.425 * [taylor]: Taking taylor expansion of (* -1 (sqrt (* (+ (/ 1 (pow y 2)) 1.0) (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))))) in y 1.425 * [taylor]: Taking taylor expansion of -1 in y 1.425 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 (pow y 2)) 1.0) (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)))) in y 1.425 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y 2)) 1.0) (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 1.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.425 * [taylor]: Taking taylor expansion of y in y 1.426 * [taylor]: Taking taylor expansion of 1.0 in y 1.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 1.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.426 * [taylor]: Taking taylor expansion of y in y 1.426 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.426 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.426 * [taylor]: Taking taylor expansion of 1.0 in y 1.434 * [taylor]: Taking taylor expansion of 0 in y 1.449 * [taylor]: Taking taylor expansion of 0 in y 1.475 * [taylor]: Taking taylor expansion of 0 in y 1.494 * [taylor]: Taking taylor expansion of 0 in y 1.534 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.534 * [approximate]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (pow (+ (pow y 2) 1.0) 1/4)) in (x y) around 0 1.535 * [taylor]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (pow (+ (pow y 2) 1.0) 1/4)) in y 1.535 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in y 1.535 * [taylor]: Taking taylor expansion of x in y 1.535 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 1.535 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.535 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 1.535 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.535 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.535 * [taylor]: Taking taylor expansion of 1.0 in y 1.535 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.536 * [taylor]: Taking taylor expansion of 1.0 in y 1.536 * [taylor]: Taking taylor expansion of (* y y) in y 1.536 * [taylor]: Taking taylor expansion of y in y 1.536 * [taylor]: Taking taylor expansion of y in y 1.541 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/4) in y 1.541 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) 1.0)))) in y 1.541 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) 1.0))) in y 1.541 * [taylor]: Taking taylor expansion of 1/4 in y 1.541 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.541 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.541 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.541 * [taylor]: Taking taylor expansion of y in y 1.541 * [taylor]: Taking taylor expansion of 1.0 in y 1.543 * [taylor]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (pow (+ (pow y 2) 1.0) 1/4)) in x 1.543 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in x 1.543 * [taylor]: Taking taylor expansion of x in x 1.543 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 1.543 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.543 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 1.543 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.543 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.543 * [taylor]: Taking taylor expansion of 1.0 in x 1.544 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.544 * [taylor]: Taking taylor expansion of 1.0 in x 1.545 * [taylor]: Taking taylor expansion of (* y y) in x 1.545 * [taylor]: Taking taylor expansion of y in x 1.545 * [taylor]: Taking taylor expansion of y in x 1.549 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/4) in x 1.549 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) 1.0)))) in x 1.549 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) 1.0))) in x 1.549 * [taylor]: Taking taylor expansion of 1/4 in x 1.549 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in x 1.549 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.549 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.549 * [taylor]: Taking taylor expansion of y in x 1.549 * [taylor]: Taking taylor expansion of 1.0 in x 1.550 * [taylor]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (pow (+ (pow y 2) 1.0) 1/4)) in x 1.550 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in x 1.550 * [taylor]: Taking taylor expansion of x in x 1.550 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 1.550 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.550 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 1.550 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.550 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.550 * [taylor]: Taking taylor expansion of 1.0 in x 1.551 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.551 * [taylor]: Taking taylor expansion of 1.0 in x 1.551 * [taylor]: Taking taylor expansion of (* y y) in x 1.551 * [taylor]: Taking taylor expansion of y in x 1.551 * [taylor]: Taking taylor expansion of y in x 1.555 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/4) in x 1.555 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) 1.0)))) in x 1.555 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) 1.0))) in x 1.555 * [taylor]: Taking taylor expansion of 1/4 in x 1.555 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in x 1.555 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.555 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.555 * [taylor]: Taking taylor expansion of y in x 1.555 * [taylor]: Taking taylor expansion of 1.0 in x 1.556 * [taylor]: Taking taylor expansion of 0 in y 1.560 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow (sqrt 1.0) 2))) (pow (+ (pow y 2) 1.0) 1/4)) in y 1.560 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow (sqrt 1.0) 2))) in y 1.560 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow (sqrt 1.0) 2)) in y 1.560 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.560 * [taylor]: Taking taylor expansion of y in y 1.560 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.560 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.560 * [taylor]: Taking taylor expansion of 1.0 in y 1.565 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/4) in y 1.565 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) 1.0)))) in y 1.565 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) 1.0))) in y 1.565 * [taylor]: Taking taylor expansion of 1/4 in y 1.565 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.565 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.565 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.565 * [taylor]: Taking taylor expansion of y in y 1.565 * [taylor]: Taking taylor expansion of 1.0 in y 1.579 * [taylor]: Taking taylor expansion of 0 in y 1.593 * [taylor]: Taking taylor expansion of 0 in y 1.595 * [approximate]: Taking taylor expansion of (* (/ (hypot (sqrt 1.0) (/ 1 y)) x) (pow (+ (/ 1 (pow y 2)) 1.0) 1/4)) in (x y) around 0 1.595 * [taylor]: Taking taylor expansion of (* (/ (hypot (sqrt 1.0) (/ 1 y)) x) (pow (+ (/ 1 (pow y 2)) 1.0) 1/4)) in y 1.595 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in y 1.595 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 1.595 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.595 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 1.595 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.595 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.595 * [taylor]: Taking taylor expansion of 1.0 in y 1.596 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.596 * [taylor]: Taking taylor expansion of 1.0 in y 1.596 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.597 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.597 * [taylor]: Taking taylor expansion of y in y 1.597 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.597 * [taylor]: Taking taylor expansion of y in y 1.600 * [taylor]: Taking taylor expansion of x in y 1.600 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in y 1.600 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.600 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.600 * [taylor]: Taking taylor expansion of 1/4 in y 1.600 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.600 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.600 * [taylor]: Taking taylor expansion of y in y 1.601 * [taylor]: Taking taylor expansion of 1.0 in y 1.602 * [taylor]: Taking taylor expansion of (* (/ (hypot (sqrt 1.0) (/ 1 y)) x) (pow (+ (/ 1 (pow y 2)) 1.0) 1/4)) in x 1.602 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in x 1.602 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 1.602 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.602 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 1.602 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.602 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.602 * [taylor]: Taking taylor expansion of 1.0 in x 1.603 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.603 * [taylor]: Taking taylor expansion of 1.0 in x 1.603 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.603 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.603 * [taylor]: Taking taylor expansion of y in x 1.603 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.603 * [taylor]: Taking taylor expansion of y in x 1.607 * [taylor]: Taking taylor expansion of x in x 1.608 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in x 1.608 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in x 1.608 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in x 1.608 * [taylor]: Taking taylor expansion of 1/4 in x 1.608 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in x 1.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.608 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.608 * [taylor]: Taking taylor expansion of y in x 1.608 * [taylor]: Taking taylor expansion of 1.0 in x 1.609 * [taylor]: Taking taylor expansion of (* (/ (hypot (sqrt 1.0) (/ 1 y)) x) (pow (+ (/ 1 (pow y 2)) 1.0) 1/4)) in x 1.609 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in x 1.609 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 1.609 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.609 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 1.609 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.609 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.609 * [taylor]: Taking taylor expansion of 1.0 in x 1.610 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.610 * [taylor]: Taking taylor expansion of 1.0 in x 1.611 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.611 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.611 * [taylor]: Taking taylor expansion of y in x 1.611 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.611 * [taylor]: Taking taylor expansion of y in x 1.615 * [taylor]: Taking taylor expansion of x in x 1.616 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in x 1.616 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in x 1.616 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in x 1.616 * [taylor]: Taking taylor expansion of 1/4 in x 1.616 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in x 1.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.616 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.616 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.616 * [taylor]: Taking taylor expansion of y in x 1.616 * [taylor]: Taking taylor expansion of 1.0 in x 1.624 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)))) in y 1.624 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in y 1.624 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.624 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.624 * [taylor]: Taking taylor expansion of 1/4 in y 1.624 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.624 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.624 * [taylor]: Taking taylor expansion of y in y 1.624 * [taylor]: Taking taylor expansion of 1.0 in y 1.625 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 1.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 1.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.625 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.625 * [taylor]: Taking taylor expansion of y in y 1.626 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.626 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.626 * [taylor]: Taking taylor expansion of 1.0 in y 1.633 * [taylor]: Taking taylor expansion of 0 in y 1.646 * [taylor]: Taking taylor expansion of 0 in y 1.677 * [taylor]: Taking taylor expansion of 0 in y 1.703 * [taylor]: Taking taylor expansion of 0 in y 1.705 * [approximate]: Taking taylor expansion of (* -1 (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in (x y) around 0 1.705 * [taylor]: Taking taylor expansion of (* -1 (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in y 1.705 * [taylor]: Taking taylor expansion of -1 in y 1.705 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in y 1.705 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in y 1.705 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.705 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.705 * [taylor]: Taking taylor expansion of 1/4 in y 1.705 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.705 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.705 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.705 * [taylor]: Taking taylor expansion of y in y 1.706 * [taylor]: Taking taylor expansion of 1.0 in y 1.707 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in y 1.707 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 1.707 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.707 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 1.707 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.707 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.707 * [taylor]: Taking taylor expansion of 1.0 in y 1.713 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.713 * [taylor]: Taking taylor expansion of 1.0 in y 1.714 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.714 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.714 * [taylor]: Taking taylor expansion of -1 in y 1.714 * [taylor]: Taking taylor expansion of y in y 1.715 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.715 * [taylor]: Taking taylor expansion of -1 in y 1.715 * [taylor]: Taking taylor expansion of y in y 1.718 * [taylor]: Taking taylor expansion of x in y 1.718 * [taylor]: Taking taylor expansion of (* -1 (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in x 1.718 * [taylor]: Taking taylor expansion of -1 in x 1.718 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in x 1.718 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in x 1.718 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in x 1.718 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in x 1.718 * [taylor]: Taking taylor expansion of 1/4 in x 1.718 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in x 1.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.718 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.718 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.718 * [taylor]: Taking taylor expansion of y in x 1.718 * [taylor]: Taking taylor expansion of 1.0 in x 1.718 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in x 1.718 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 1.719 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.719 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 1.719 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.719 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.719 * [taylor]: Taking taylor expansion of 1.0 in x 1.719 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.719 * [taylor]: Taking taylor expansion of 1.0 in x 1.720 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.720 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.720 * [taylor]: Taking taylor expansion of -1 in x 1.720 * [taylor]: Taking taylor expansion of y in x 1.720 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.720 * [taylor]: Taking taylor expansion of -1 in x 1.720 * [taylor]: Taking taylor expansion of y in x 1.724 * [taylor]: Taking taylor expansion of x in x 1.725 * [taylor]: Taking taylor expansion of (* -1 (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in x 1.725 * [taylor]: Taking taylor expansion of -1 in x 1.725 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in x 1.725 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in x 1.725 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in x 1.725 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in x 1.725 * [taylor]: Taking taylor expansion of 1/4 in x 1.725 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in x 1.725 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.725 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.725 * [taylor]: Taking taylor expansion of y in x 1.725 * [taylor]: Taking taylor expansion of 1.0 in x 1.726 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in x 1.726 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 1.726 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.726 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 1.726 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.726 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.726 * [taylor]: Taking taylor expansion of 1.0 in x 1.726 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.726 * [taylor]: Taking taylor expansion of 1.0 in x 1.727 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.727 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.727 * [taylor]: Taking taylor expansion of -1 in x 1.727 * [taylor]: Taking taylor expansion of y in x 1.727 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.727 * [taylor]: Taking taylor expansion of -1 in x 1.727 * [taylor]: Taking taylor expansion of y in x 1.731 * [taylor]: Taking taylor expansion of x in x 1.733 * [taylor]: Taking taylor expansion of (* -1 (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))))) in y 1.734 * [taylor]: Taking taylor expansion of -1 in y 1.734 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)))) in y 1.734 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in y 1.734 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.734 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.734 * [taylor]: Taking taylor expansion of 1/4 in y 1.734 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.734 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.734 * [taylor]: Taking taylor expansion of y in y 1.734 * [taylor]: Taking taylor expansion of 1.0 in y 1.735 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 1.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 1.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.735 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.735 * [taylor]: Taking taylor expansion of y in y 1.736 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.736 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.736 * [taylor]: Taking taylor expansion of 1.0 in y 1.744 * [taylor]: Taking taylor expansion of 0 in y 1.759 * [taylor]: Taking taylor expansion of 0 in y 1.791 * [taylor]: Taking taylor expansion of 0 in y 1.826 * [taylor]: Taking taylor expansion of 0 in y 1.827 * * * [progress]: simplifying candidates 1.829 * [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 (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (log1p (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y))))) (+ (+ (+ (log x) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (hypot (sqrt 1.0) y))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (+ (+ (log (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (log (hypot (sqrt 1.0) y))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (+ (log (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (exp (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* (* x x) x) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (cbrt (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* (* x (sqrt (sqrt (+ 1.0 (* y 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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)))) (* 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)) (pow 1.0 1/4)) (+ (* 0.25 (* x (sqrt (/ 1 y)))) (+ (* 1/2 (* (* x (pow (sqrt 1.0) 2)) (sqrt (/ 1 y)))) (* x (sqrt (pow y 3))))) (- (+ (* 0.25 (/ (* (sqrt (* -1 y)) x) y)) (+ (* 1/2 (/ (* (sqrt (* -1 y)) (* x (pow (sqrt 1.0) 2))) y)) (* (sqrt (* -1 y)) (* x y))))) 1.838 * * [simplify]: iteration 0 : 503 enodes (cost 1174 ) 1.849 * * [simplify]: iteration 1 : 2285 enodes (cost 1049 ) 1.892 * * [simplify]: iteration 2 : 5001 enodes (cost 930 ) 1.898 * [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 (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y))) (cbrt (hypot (sqrt 1.0) y)) (pow (hypot (sqrt 1.0) y) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) 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 (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) (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 (hypot (sqrt 1.0) y)) 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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)) (pow 1.0 1/4)) (fma (* 0.25 (sqrt (/ 1 y))) x (fma (* 1/2 x) (* (sqrt (/ 1 y)) 1.0) (* x (sqrt (pow y 3))))) (+ (- (fma 0.25 (/ (* (sqrt (* -1 y)) x) y) (* (sqrt (* -1 y)) (* x y)))) (* (- 1/2) (/ (* (sqrt (* -1 y)) x) (/ y 1.0)))) 1.898 * * * [progress]: adding candidates to table 2.256 * [progress]: [Phase 3 of 3] Extracting. 2.256 * * [regime]: Finding splitpoints for: (# # # # #) 2.257 * * * [regime-changes]: Trying 2 branch expressions: (y x) 2.257 * * * * [regimes]: Trying to branch on y from (# # # # #) 2.282 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.302 * * * [regime]: Found split indices: #