17.496 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.017 * [simplify]: Sending expressions to egg_math: (* h0 (+ h1 (* h2 h2))) 0.020 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.023 * * [simplify]: iteration 1 : 23 enodes (cost 3 ) 0.025 * * [simplify]: iteration 2 : 30 enodes (cost 3 ) 0.028 * * [simplify]: iteration 3 : 31 enodes (cost 3 ) 0.030 * * [simplify]: iteration 4 : 31 enodes (cost 3 ) 0.031 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.042 * * * [progress]: generating rewritten candidates 0.042 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.058 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.065 * * * [progress]: generating series expansions 0.065 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.065 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.065 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of 1.0 in y 0.066 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) 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 (+ (pow y 2) 1.0)) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) 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 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of 1.0 in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.072 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of 1.0 in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of 1.0 in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.093 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.093 * [taylor]: Taking taylor expansion of -1 in y 0.093 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of 1.0 in y 0.094 * [taylor]: Taking taylor expansion of x in y 0.094 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.094 * [taylor]: Taking taylor expansion of -1 in x 0.094 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.095 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.095 * [taylor]: Taking taylor expansion of -1 in x 0.095 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.095 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.096 * [taylor]: Taking taylor expansion of -1 in y 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.096 * [taylor]: Taking taylor expansion of 1.0 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.123 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.123 * [approximate]: Taking taylor expansion of (+ (pow y 2) 1.0) in (y) around 0 0.123 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of 1.0 in y 0.123 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of 1.0 in y 0.135 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in (y) around 0 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.136 * [taylor]: Taking taylor expansion of 1.0 in y 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.136 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of 1.0 in y 0.149 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in (y) around 0 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of 1.0 in y 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of 1.0 in y 0.163 * * * [progress]: simplifying candidates 0.163 * [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) 0.164 * [simplify]: Sending expressions to egg_math: (expm1 (* h0 (+ h1 (* h2 h2)))) (log1p (* h0 (+ h1 (* h2 h2)))) (* h0 (+ h1 (* h2 h2))) (+ (log h0) (log (+ h1 (* h2 h2)))) (log (* h0 (+ h1 (* h2 h2)))) (exp (* h0 (+ h1 (* h2 h2)))) (* (* (* h0 h0) h0) (* (* (+ h1 (* h2 h2)) (+ h1 (* h2 h2))) (+ h1 (* h2 h2)))) (* (cbrt (* h0 (+ h1 (* h2 h2)))) (cbrt (* h0 (+ h1 (* h2 h2))))) (cbrt (* h0 (+ h1 (* h2 h2)))) (* (* (* h0 (+ h1 (* h2 h2))) (* h0 (+ h1 (* h2 h2)))) (* h0 (+ h1 (* h2 h2)))) (sqrt (* h0 (+ h1 (* h2 h2)))) (sqrt (* h0 (+ h1 (* h2 h2)))) (* (sqrt h0) (sqrt (+ h1 (* h2 h2)))) (* (sqrt h0) (sqrt (+ h1 (* h2 h2)))) (* h0 h1) (* h0 (* h2 h2)) (* h1 h0) (* (* h2 h2) h0) (* h0 (* (cbrt (+ h1 (* h2 h2))) (cbrt (+ h1 (* h2 h2))))) (* h0 (sqrt (+ h1 (* h2 h2)))) (* h0 1) (* (cbrt h0) (+ h1 (* h2 h2))) (* (sqrt h0) (+ h1 (* h2 h2))) (* h0 (+ h1 (* h2 h2))) (* h0 (+ (pow h1 3) (pow (* h2 h2) 3))) (* h0 (- (* h1 h1) (* (* h2 h2) (* h2 h2)))) (expm1 (+ h1 (* h2 h2))) (log1p (+ h1 (* h2 h2))) (* (exp h1) (exp (* h2 h2))) (log (+ h1 (* h2 h2))) (exp (+ h1 (* h2 h2))) (* (cbrt (+ h1 (* h2 h2))) (cbrt (+ h1 (* h2 h2)))) (cbrt (+ h1 (* h2 h2))) (* (* (+ h1 (* h2 h2)) (+ h1 (* h2 h2))) (+ h1 (* h2 h2))) (sqrt (+ h1 (* h2 h2))) (sqrt (+ h1 (* h2 h2))) (+ (pow h1 3) (pow (* h2 h2) 3)) (+ (* h1 h1) (- (* (* h2 h2) (* h2 h2)) (* h1 (* h2 h2)))) (- (* h1 h1) (* (* h2 h2) (* h2 h2))) (- h1 (* h2 h2)) (* h1 h0) (+ (* h0 (pow h2 2)) (* h1 h0)) (+ (* h0 (pow h2 2)) (* h1 h0)) (+ (pow h2 2) h1) (+ (pow h2 2) h1) (+ (pow h2 2) h1) 0.168 * * [simplify]: iteration 0 : 176 enodes (cost 185 ) 0.174 * * [simplify]: iteration 1 : 831 enodes (cost 149 ) 0.194 * * [simplify]: iteration 2 : 3617 enodes (cost 145 ) 0.260 * * [simplify]: iteration 3 : 5001 enodes (cost 144 ) 0.262 * [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) 0.262 * * * [progress]: adding candidates to table 0.365 * * [progress]: iteration 2 / 4 0.365 * * * [progress]: picking best candidate 0.373 * * * * [pick]: Picked # 0.373 * * * [progress]: localizing error 0.381 * * * [progress]: generating rewritten candidates 0.381 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.387 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.392 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.438 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.459 * * * [progress]: generating series expansions 0.459 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.460 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.460 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.460 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.460 * [taylor]: Taking taylor expansion of 1.0 in y 0.461 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.462 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of 1.0 in y 0.476 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.477 * [taylor]: Taking taylor expansion of 1.0 in y 0.479 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of 1.0 in y 0.491 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.491 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.491 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of 1.0 in y 0.494 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of 1.0 in y 0.511 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.511 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.511 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.511 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.511 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.511 * [taylor]: Taking taylor expansion of y in y 0.511 * [taylor]: Taking taylor expansion of 1.0 in y 0.513 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.513 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.513 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.513 * [taylor]: Taking taylor expansion of 1.0 in y 0.527 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.527 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.527 * [taylor]: Taking taylor expansion of y in y 0.528 * [taylor]: Taking taylor expansion of 1.0 in y 0.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.531 * [taylor]: Taking taylor expansion of 1.0 in y 0.543 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 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 0.546 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.546 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.546 * [taylor]: Taking taylor expansion of y in y 0.546 * [taylor]: Taking taylor expansion of 1.0 in y 0.557 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.558 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.558 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.558 * [taylor]: Taking taylor expansion of x in y 0.558 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.558 * [taylor]: Taking taylor expansion of 1.0 in y 0.558 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of 1.0 in x 0.558 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of 1.0 in x 0.558 * [taylor]: Taking taylor expansion of 0 in y 0.559 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of 1.0 in y 0.561 * [taylor]: Taking taylor expansion of 0 in y 0.563 * [taylor]: Taking taylor expansion of 0 in y 0.563 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.563 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.563 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of 1.0 in y 0.564 * [taylor]: Taking taylor expansion of x in y 0.564 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.564 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.564 * [taylor]: Taking taylor expansion of y in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.565 * [taylor]: Taking taylor expansion of y in x 0.565 * [taylor]: Taking taylor expansion of 1.0 in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.566 * [taylor]: Taking taylor expansion of 1.0 in y 0.567 * [taylor]: Taking taylor expansion of 0 in y 0.570 * [taylor]: Taking taylor expansion of 0 in y 0.573 * [taylor]: Taking taylor expansion of 0 in y 0.577 * [taylor]: Taking taylor expansion of 0 in y 0.582 * [taylor]: Taking taylor expansion of 0 in y 0.583 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.583 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.583 * [taylor]: Taking taylor expansion of -1 in y 0.583 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.583 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.583 * [taylor]: Taking taylor expansion of y in y 0.584 * [taylor]: Taking taylor expansion of 1.0 in y 0.584 * [taylor]: Taking taylor expansion of x in y 0.584 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.584 * [taylor]: Taking taylor expansion of -1 in x 0.584 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.584 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.584 * [taylor]: Taking taylor expansion of y in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.585 * [taylor]: Taking taylor expansion of -1 in x 0.585 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.585 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.585 * [taylor]: Taking taylor expansion of y in x 0.585 * [taylor]: Taking taylor expansion of 1.0 in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.585 * [taylor]: Taking taylor expansion of -1 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 0.586 * [taylor]: Taking taylor expansion of 1.0 in y 0.588 * [taylor]: Taking taylor expansion of 0 in y 0.592 * [taylor]: Taking taylor expansion of 0 in y 0.606 * [taylor]: Taking taylor expansion of 0 in y 0.614 * [taylor]: Taking taylor expansion of 0 in y 0.621 * [taylor]: Taking taylor expansion of 0 in y 0.622 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.622 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.622 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.622 * [taylor]: Taking taylor expansion of x in y 0.622 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.622 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.622 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.622 * [taylor]: Taking taylor expansion of y in y 0.622 * [taylor]: Taking taylor expansion of 1.0 in y 0.624 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.624 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.624 * [taylor]: Taking taylor expansion of 1.0 in x 0.625 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.625 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of 1.0 in x 0.626 * [taylor]: Taking taylor expansion of 0 in y 0.626 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.626 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.626 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of 1.0 in y 0.630 * [taylor]: Taking taylor expansion of 0 in y 0.632 * [taylor]: Taking taylor expansion of 0 in y 0.632 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.633 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.633 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.633 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.633 * [taylor]: Taking taylor expansion of y in y 0.633 * [taylor]: Taking taylor expansion of 1.0 in y 0.635 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.635 * [taylor]: Taking taylor expansion of x in y 0.635 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.635 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.635 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.635 * [taylor]: Taking taylor expansion of y in x 0.635 * [taylor]: Taking taylor expansion of 1.0 in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.637 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.637 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.637 * [taylor]: Taking taylor expansion of y in x 0.637 * [taylor]: Taking taylor expansion of 1.0 in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.639 * [taylor]: Taking taylor expansion of 1.0 in y 0.642 * [taylor]: Taking taylor expansion of 0 in y 0.644 * [taylor]: Taking taylor expansion of 0 in y 0.650 * [taylor]: Taking taylor expansion of 0 in y 0.656 * [taylor]: Taking taylor expansion of 0 in y 0.656 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.656 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.656 * [taylor]: Taking taylor expansion of -1 in y 0.656 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.657 * [taylor]: Taking taylor expansion of 1.0 in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.659 * [taylor]: Taking taylor expansion of x in y 0.659 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.659 * [taylor]: Taking taylor expansion of -1 in x 0.659 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.659 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.660 * [taylor]: Taking taylor expansion of 1.0 in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.661 * [taylor]: Taking taylor expansion of -1 in x 0.661 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.661 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.661 * [taylor]: Taking taylor expansion of y in x 0.661 * [taylor]: Taking taylor expansion of 1.0 in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.663 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.663 * [taylor]: Taking taylor expansion of -1 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 0.663 * [taylor]: Taking taylor expansion of 1.0 in y 0.667 * [taylor]: Taking taylor expansion of 0 in y 0.670 * [taylor]: Taking taylor expansion of 0 in y 0.678 * [taylor]: Taking taylor expansion of 0 in y 0.684 * [taylor]: Taking taylor expansion of 0 in y 0.685 * * * [progress]: simplifying candidates 0.687 * [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))) 0.687 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ h0 (* h1 h1)))) (log1p (sqrt (+ h0 (* h1 h1)))) (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (expm1 (sqrt (+ h0 (* h1 h1)))) (log1p (sqrt (+ h0 (* h1 h1)))) (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (expm1 (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (log1p (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (+ (+ (log h2) (log (sqrt (+ h0 (* h1 h1))))) (log (sqrt (+ h0 (* h1 h1))))) (+ (log (* h2 (sqrt (+ h0 (* h1 h1))))) (log (sqrt (+ h0 (* h1 h1))))) (log (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (exp (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* (* (* h2 h2) h2) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* (* (* h2 (sqrt (+ h0 (* h1 h1)))) (* h2 (sqrt (+ h0 (* h1 h1))))) (* h2 (sqrt (+ h0 (* h1 h1))))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (cbrt (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (cbrt (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))))) (cbrt (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (sqrt (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (sqrt (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (* (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1)))))) (* (* h2 (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (* (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- h0 (* h1 h1)))) (* (* h2 (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (* (sqrt (- h0 (* h1 h1))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1)))))) (* (* h2 (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (* (sqrt (- h0 (* h1 h1))) (sqrt (- h0 (* h1 h1)))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt 1)) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) 1) (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (* (* h2 (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (sqrt (+ h0 (* h1 h1)))) (* (* h2 (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (sqrt (+ h0 (* h1 h1)))) (expm1 (* h2 (sqrt (+ h0 (* h1 h1))))) (log1p (* h2 (sqrt (+ h0 (* h1 h1))))) (* h2 (sqrt (+ h0 (* h1 h1)))) (+ (log h2) (log (sqrt (+ h0 (* h1 h1))))) (log (* h2 (sqrt (+ h0 (* h1 h1))))) (exp (* h2 (sqrt (+ h0 (* h1 h1))))) (* (* (* h2 h2) h2) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (cbrt (* h2 (sqrt (+ h0 (* h1 h1))))) (cbrt (* h2 (sqrt (+ h0 (* h1 h1)))))) (cbrt (* h2 (sqrt (+ h0 (* h1 h1))))) (* (* (* h2 (sqrt (+ h0 (* h1 h1)))) (* h2 (sqrt (+ h0 (* h1 h1))))) (* h2 (sqrt (+ h0 (* h1 h1))))) (sqrt (* h2 (sqrt (+ h0 (* h1 h1))))) (sqrt (* h2 (sqrt (+ h0 (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (+ h0 (* h1 h1))))) (* h2 (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1)))))) (* h2 (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1)))))) (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (* h2 (sqrt 1)) (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (* h2 1) (* (cbrt h2) (sqrt (+ h0 (* h1 h1)))) (* (sqrt h2) (sqrt (+ h0 (* h1 h1)))) (* h2 (sqrt (+ h0 (* h1 h1)))) (* h2 (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (* h2 (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h3 (/ 1 h1))) (* h4 (/ 1 (pow h1 3)))) (- (* h4 (/ 1 (pow h1 3))) (+ h1 (* h3 (/ 1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h3 (/ 1 h1))) (* h4 (/ 1 (pow h1 3)))) (- (* h4 (/ 1 (pow h1 3))) (+ h1 (* h3 (/ 1 h1)))) (* h0 h2) (+ (* h2 (pow h1 2)) (* h0 h2)) (+ (* h2 (pow h1 2)) (* h0 h2)) (* h2 (sqrt h0)) (+ (* h3 (/ h2 h1)) (* h2 h1)) (- (+ (* h3 (/ h2 h1)) (* h2 h1))) 0.693 * * [simplify]: iteration 0 : 318 enodes (cost 722 ) 0.702 * * [simplify]: iteration 1 : 1367 enodes (cost 620 ) 0.732 * * [simplify]: iteration 2 : 5002 enodes (cost 595 ) 0.736 * [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))) 0.736 * * * [progress]: adding candidates to table 1.040 * * [progress]: iteration 3 / 4 1.040 * * * [progress]: picking best candidate 1.044 * * * * [pick]: Picked # 1.044 * * * [progress]: localizing error 1.057 * * * [progress]: generating rewritten candidates 1.057 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.067 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 1.072 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.112 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.264 * * * [progress]: generating series expansions 1.264 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.264 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.264 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.264 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.264 * [taylor]: Taking taylor expansion of y in y 1.264 * [taylor]: Taking taylor expansion of 1.0 in y 1.266 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.266 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.266 * [taylor]: Taking taylor expansion of y in y 1.266 * [taylor]: Taking taylor expansion of 1.0 in y 1.281 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.281 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.281 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.281 * [taylor]: Taking taylor expansion of y in y 1.282 * [taylor]: Taking taylor expansion of 1.0 in y 1.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.284 * [taylor]: Taking taylor expansion of y in y 1.285 * [taylor]: Taking taylor expansion of 1.0 in y 1.296 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.296 * [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 (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.299 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.299 * [taylor]: Taking taylor expansion of y in y 1.299 * [taylor]: Taking taylor expansion of 1.0 in y 1.311 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 1.311 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.311 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.311 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.311 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.311 * [taylor]: Taking taylor expansion of y in y 1.311 * [taylor]: Taking taylor expansion of 1.0 in y 1.312 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.312 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.312 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.312 * [taylor]: Taking taylor expansion of y in y 1.312 * [taylor]: Taking taylor expansion of 1.0 in y 1.326 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.326 * [taylor]: Taking taylor expansion of y in y 1.327 * [taylor]: Taking taylor expansion of 1.0 in y 1.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.328 * [taylor]: Taking taylor expansion of y in y 1.329 * [taylor]: Taking taylor expansion of 1.0 in y 1.346 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.347 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.347 * [taylor]: Taking taylor expansion of y in y 1.347 * [taylor]: Taking taylor expansion of 1.0 in y 1.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.349 * [taylor]: Taking taylor expansion of y in y 1.350 * [taylor]: Taking taylor expansion of 1.0 in y 1.360 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.360 * [approximate]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (pow (+ (pow y 2) 1.0) 1/4)) in (x y) around 0 1.360 * [taylor]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (pow (+ (pow y 2) 1.0) 1/4)) in y 1.360 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in y 1.361 * [taylor]: Taking taylor expansion of x in y 1.361 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 1.361 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.361 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 1.361 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.361 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.361 * [taylor]: Taking taylor expansion of 1.0 in y 1.361 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.362 * [taylor]: Taking taylor expansion of 1.0 in y 1.362 * [taylor]: Taking taylor expansion of (* y y) in y 1.362 * [taylor]: Taking taylor expansion of y in y 1.362 * [taylor]: Taking taylor expansion of y in y 1.367 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/4) in y 1.367 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) 1.0)))) in y 1.367 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) 1.0))) in y 1.367 * [taylor]: Taking taylor expansion of 1/4 in y 1.367 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.367 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.367 * [taylor]: Taking taylor expansion of y in y 1.367 * [taylor]: Taking taylor expansion of 1.0 in y 1.369 * [taylor]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (pow (+ (pow y 2) 1.0) 1/4)) in x 1.369 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in x 1.369 * [taylor]: Taking taylor expansion of x in x 1.369 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 1.369 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.369 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 1.369 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.369 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.369 * [taylor]: Taking taylor expansion of 1.0 in x 1.370 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.370 * [taylor]: Taking taylor expansion of 1.0 in x 1.371 * [taylor]: Taking taylor expansion of (* y y) in x 1.371 * [taylor]: Taking taylor expansion of y in x 1.371 * [taylor]: Taking taylor expansion of y in x 1.374 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/4) in x 1.374 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) 1.0)))) in x 1.374 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) 1.0))) in x 1.374 * [taylor]: Taking taylor expansion of 1/4 in x 1.375 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in x 1.375 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.375 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.375 * [taylor]: Taking taylor expansion of y in x 1.375 * [taylor]: Taking taylor expansion of 1.0 in x 1.375 * [taylor]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (pow (+ (pow y 2) 1.0) 1/4)) in x 1.375 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in x 1.375 * [taylor]: Taking taylor expansion of x in x 1.375 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 1.375 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.375 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 1.375 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.375 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.375 * [taylor]: Taking taylor expansion of 1.0 in x 1.376 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.376 * [taylor]: Taking taylor expansion of 1.0 in x 1.377 * [taylor]: Taking taylor expansion of (* y y) in x 1.377 * [taylor]: Taking taylor expansion of y in x 1.377 * [taylor]: Taking taylor expansion of y in x 1.380 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/4) in x 1.380 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) 1.0)))) in x 1.380 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) 1.0))) in x 1.380 * [taylor]: Taking taylor expansion of 1/4 in x 1.380 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in x 1.380 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.381 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.381 * [taylor]: Taking taylor expansion of y in x 1.381 * [taylor]: Taking taylor expansion of 1.0 in x 1.382 * [taylor]: Taking taylor expansion of 0 in y 1.386 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow (sqrt 1.0) 2))) (pow (+ (pow y 2) 1.0) 1/4)) in y 1.386 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow (sqrt 1.0) 2))) in y 1.386 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow (sqrt 1.0) 2)) in y 1.386 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.386 * [taylor]: Taking taylor expansion of y in y 1.386 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.386 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.386 * [taylor]: Taking taylor expansion of 1.0 in y 1.390 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/4) in y 1.390 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) 1.0)))) in y 1.390 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) 1.0))) in y 1.390 * [taylor]: Taking taylor expansion of 1/4 in y 1.390 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.390 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.390 * [taylor]: Taking taylor expansion of y in y 1.390 * [taylor]: Taking taylor expansion of 1.0 in y 1.403 * [taylor]: Taking taylor expansion of 0 in y 1.417 * [taylor]: Taking taylor expansion of 0 in y 1.418 * [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 1.418 * [taylor]: Taking taylor expansion of (* (/ (hypot (sqrt 1.0) (/ 1 y)) x) (pow (+ (/ 1 (pow y 2)) 1.0) 1/4)) in y 1.418 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in y 1.419 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 1.419 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.419 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 1.419 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.419 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.419 * [taylor]: Taking taylor expansion of 1.0 in y 1.419 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.419 * [taylor]: Taking taylor expansion of 1.0 in y 1.420 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.420 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.420 * [taylor]: Taking taylor expansion of y in y 1.420 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.420 * [taylor]: Taking taylor expansion of y in y 1.423 * [taylor]: Taking taylor expansion of x in y 1.423 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in y 1.423 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.423 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.423 * [taylor]: Taking taylor expansion of 1/4 in y 1.423 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.423 * [taylor]: Taking taylor expansion of y in y 1.424 * [taylor]: Taking taylor expansion of 1.0 in y 1.424 * [taylor]: Taking taylor expansion of (* (/ (hypot (sqrt 1.0) (/ 1 y)) x) (pow (+ (/ 1 (pow y 2)) 1.0) 1/4)) in x 1.424 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in x 1.424 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 1.425 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.425 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 1.425 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.425 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.425 * [taylor]: Taking taylor expansion of 1.0 in x 1.425 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.425 * [taylor]: Taking taylor expansion of 1.0 in x 1.426 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.426 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.426 * [taylor]: Taking taylor expansion of y in x 1.426 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.426 * [taylor]: Taking taylor expansion of y in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.431 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in x 1.431 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in x 1.431 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in x 1.431 * [taylor]: Taking taylor expansion of 1/4 in x 1.431 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in x 1.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.431 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.431 * [taylor]: Taking taylor expansion of y in x 1.431 * [taylor]: Taking taylor expansion of 1.0 in x 1.431 * [taylor]: Taking taylor expansion of (* (/ (hypot (sqrt 1.0) (/ 1 y)) x) (pow (+ (/ 1 (pow y 2)) 1.0) 1/4)) in x 1.438 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in x 1.438 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 1.438 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.438 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 1.438 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.438 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.438 * [taylor]: Taking taylor expansion of 1.0 in x 1.439 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.439 * [taylor]: Taking taylor expansion of 1.0 in x 1.440 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.440 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.440 * [taylor]: Taking taylor expansion of y in x 1.440 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.440 * [taylor]: Taking taylor expansion of y in x 1.444 * [taylor]: Taking taylor expansion of x in x 1.445 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in x 1.446 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in x 1.446 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in x 1.446 * [taylor]: Taking taylor expansion of 1/4 in x 1.446 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in x 1.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.446 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.446 * [taylor]: Taking taylor expansion of y in x 1.446 * [taylor]: Taking taylor expansion of 1.0 in x 1.448 * [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 1.448 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in y 1.448 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.448 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.448 * [taylor]: Taking taylor expansion of 1/4 in y 1.448 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.448 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.448 * [taylor]: Taking taylor expansion of y in y 1.449 * [taylor]: Taking taylor expansion of 1.0 in y 1.450 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 1.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 1.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.450 * [taylor]: Taking taylor expansion of y in y 1.451 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.451 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.451 * [taylor]: Taking taylor expansion of 1.0 in y 1.458 * [taylor]: Taking taylor expansion of 0 in y 1.473 * [taylor]: Taking taylor expansion of 0 in y 1.506 * [taylor]: Taking taylor expansion of 0 in y 1.532 * [taylor]: Taking taylor expansion of 0 in y 1.534 * [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 1.534 * [taylor]: Taking taylor expansion of (* -1 (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in y 1.534 * [taylor]: Taking taylor expansion of -1 in y 1.534 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in y 1.534 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in y 1.534 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.534 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.534 * [taylor]: Taking taylor expansion of 1/4 in y 1.534 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.534 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.534 * [taylor]: Taking taylor expansion of y in y 1.535 * [taylor]: Taking taylor expansion of 1.0 in y 1.536 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in y 1.536 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 1.536 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.536 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 1.536 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.536 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.536 * [taylor]: Taking taylor expansion of 1.0 in y 1.537 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.537 * [taylor]: Taking taylor expansion of 1.0 in y 1.537 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.537 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.537 * [taylor]: Taking taylor expansion of -1 in y 1.537 * [taylor]: Taking taylor expansion of y in y 1.538 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.538 * [taylor]: Taking taylor expansion of -1 in y 1.538 * [taylor]: Taking taylor expansion of y in y 1.548 * [taylor]: Taking taylor expansion of x in y 1.548 * [taylor]: Taking taylor expansion of (* -1 (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in x 1.548 * [taylor]: Taking taylor expansion of -1 in x 1.548 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in x 1.549 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in x 1.549 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in x 1.549 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (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 (+ (/ 1 (pow y 2)) 1.0)) in x 1.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 1.549 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in x 1.549 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 1.550 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.550 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 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 1.550 * [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 (* (/ -1 y) (/ -1 y)) in x 1.551 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.551 * [taylor]: Taking taylor expansion of -1 in x 1.551 * [taylor]: Taking taylor expansion of y in x 1.551 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.551 * [taylor]: Taking taylor expansion of -1 in x 1.551 * [taylor]: Taking taylor expansion of y in x 1.555 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (* -1 (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in x 1.556 * [taylor]: Taking taylor expansion of -1 in x 1.556 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in x 1.557 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in x 1.557 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in x 1.557 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in x 1.557 * [taylor]: Taking taylor expansion of 1/4 in x 1.557 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in x 1.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.557 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.557 * [taylor]: Taking taylor expansion of y in x 1.557 * [taylor]: Taking taylor expansion of 1.0 in x 1.557 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in x 1.557 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 1.557 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.558 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 1.558 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.558 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.558 * [taylor]: Taking taylor expansion of 1.0 in x 1.558 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.558 * [taylor]: Taking taylor expansion of 1.0 in x 1.559 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.559 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.559 * [taylor]: Taking taylor expansion of -1 in x 1.559 * [taylor]: Taking taylor expansion of y in x 1.559 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.559 * [taylor]: Taking taylor expansion of -1 in x 1.559 * [taylor]: Taking taylor expansion of y in x 1.564 * [taylor]: Taking taylor expansion of x in x 1.567 * [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 1.567 * [taylor]: Taking taylor expansion of -1 in y 1.567 * [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 1.567 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in y 1.567 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.567 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.567 * [taylor]: Taking taylor expansion of 1/4 in y 1.567 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.567 * [taylor]: Taking taylor expansion of y in y 1.567 * [taylor]: Taking taylor expansion of 1.0 in y 1.568 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 1.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 1.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.568 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.568 * [taylor]: Taking taylor expansion of y in y 1.569 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.569 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.569 * [taylor]: Taking taylor expansion of 1.0 in y 1.577 * [taylor]: Taking taylor expansion of 0 in y 1.593 * [taylor]: Taking taylor expansion of 0 in y 1.629 * [taylor]: Taking taylor expansion of 0 in y 1.669 * [taylor]: Taking taylor expansion of 0 in y 1.670 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.671 * [approximate]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 1.671 * [taylor]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (sqrt (+ (pow y 2) 1.0))) in y 1.671 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in y 1.671 * [taylor]: Taking taylor expansion of x in y 1.671 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 1.671 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.671 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 1.671 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.671 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.671 * [taylor]: Taking taylor expansion of 1.0 in y 1.672 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.672 * [taylor]: Taking taylor expansion of 1.0 in y 1.673 * [taylor]: Taking taylor expansion of (* y y) in y 1.673 * [taylor]: Taking taylor expansion of y in y 1.673 * [taylor]: Taking taylor expansion of y in y 1.678 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.678 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.678 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.678 * [taylor]: Taking taylor expansion of y in y 1.678 * [taylor]: Taking taylor expansion of 1.0 in y 1.679 * [taylor]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (sqrt (+ (pow y 2) 1.0))) in x 1.679 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in x 1.679 * [taylor]: Taking taylor expansion of x in x 1.679 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 1.680 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.680 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 1.680 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.680 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.680 * [taylor]: Taking taylor expansion of 1.0 in x 1.680 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.680 * [taylor]: Taking taylor expansion of 1.0 in x 1.681 * [taylor]: Taking taylor expansion of (* y y) in x 1.681 * [taylor]: Taking taylor expansion of y in x 1.681 * [taylor]: Taking taylor expansion of y in x 1.685 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 1.685 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.685 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.685 * [taylor]: Taking taylor expansion of y in x 1.685 * [taylor]: Taking taylor expansion of 1.0 in x 1.686 * [taylor]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (sqrt (+ (pow y 2) 1.0))) in x 1.686 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in x 1.686 * [taylor]: Taking taylor expansion of x in x 1.686 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 1.686 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.686 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 1.686 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.686 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.686 * [taylor]: Taking taylor expansion of 1.0 in x 1.687 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.687 * [taylor]: Taking taylor expansion of 1.0 in x 1.688 * [taylor]: Taking taylor expansion of (* y y) in x 1.688 * [taylor]: Taking taylor expansion of y in x 1.688 * [taylor]: Taking taylor expansion of y in x 1.692 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 1.692 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.692 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.692 * [taylor]: Taking taylor expansion of y in x 1.692 * [taylor]: Taking taylor expansion of 1.0 in x 1.694 * [taylor]: Taking taylor expansion of 0 in y 1.696 * [taylor]: Taking taylor expansion of (sqrt (* (+ (pow y 2) (pow (sqrt 1.0) 2)) (+ (pow y 2) 1.0))) in y 1.696 * [taylor]: Taking taylor expansion of (* (+ (pow y 2) (pow (sqrt 1.0) 2)) (+ (pow y 2) 1.0)) in y 1.696 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow (sqrt 1.0) 2)) in y 1.697 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.697 * [taylor]: Taking taylor expansion of y in y 1.697 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.697 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.697 * [taylor]: Taking taylor expansion of 1.0 in y 1.697 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.697 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.697 * [taylor]: Taking taylor expansion of y in y 1.697 * [taylor]: Taking taylor expansion of 1.0 in y 1.713 * [taylor]: Taking taylor expansion of 0 in y 1.722 * [taylor]: Taking taylor expansion of 0 in y 1.723 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ 1 y)) x)) in (x y) around 0 1.723 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ 1 y)) x)) in y 1.723 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.723 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.723 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.723 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.723 * [taylor]: Taking taylor expansion of y in y 1.724 * [taylor]: Taking taylor expansion of 1.0 in y 1.726 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in y 1.726 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 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 y 1.726 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.726 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.726 * [taylor]: Taking taylor expansion of 1.0 in y 1.727 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.727 * [taylor]: Taking taylor expansion of 1.0 in y 1.728 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.728 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.728 * [taylor]: Taking taylor expansion of y in y 1.728 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.728 * [taylor]: Taking taylor expansion of y in y 1.731 * [taylor]: Taking taylor expansion of x in y 1.731 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ 1 y)) x)) in x 1.731 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.731 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.731 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.731 * [taylor]: Taking taylor expansion of y in x 1.732 * [taylor]: Taking taylor expansion of 1.0 in x 1.733 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in x 1.733 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 1.733 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.733 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 1.733 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.733 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.733 * [taylor]: Taking taylor expansion of 1.0 in x 1.734 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.734 * [taylor]: Taking taylor expansion of 1.0 in x 1.735 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.735 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.735 * [taylor]: Taking taylor expansion of y in x 1.735 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.735 * [taylor]: Taking taylor expansion of y in x 1.739 * [taylor]: Taking taylor expansion of x in x 1.740 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ 1 y)) x)) in x 1.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.740 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.740 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.740 * [taylor]: Taking taylor expansion of y in x 1.741 * [taylor]: Taking taylor expansion of 1.0 in x 1.742 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in x 1.742 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 1.742 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.742 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 1.742 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.742 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.742 * [taylor]: Taking taylor expansion of 1.0 in x 1.743 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.743 * [taylor]: Taking taylor expansion of 1.0 in x 1.743 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.744 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.744 * [taylor]: Taking taylor expansion of y in x 1.744 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.744 * [taylor]: Taking taylor expansion of y in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.750 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 (pow y 2)) 1.0) (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)))) in y 1.750 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y 2)) 1.0) (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 1.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.750 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.750 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.750 * [taylor]: Taking taylor expansion of y in y 1.751 * [taylor]: Taking taylor expansion of 1.0 in y 1.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 1.751 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.751 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.751 * [taylor]: Taking taylor expansion of y in y 1.751 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.752 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.752 * [taylor]: Taking taylor expansion of 1.0 in y 1.758 * [taylor]: Taking taylor expansion of 0 in y 1.775 * [taylor]: Taking taylor expansion of 0 in y 1.796 * [taylor]: Taking taylor expansion of 0 in y 1.813 * [taylor]: Taking taylor expansion of 0 in y 1.839 * [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 1.839 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in y 1.839 * [taylor]: Taking taylor expansion of -1 in y 1.839 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in y 1.839 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.839 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.839 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.839 * [taylor]: Taking taylor expansion of y in y 1.840 * [taylor]: Taking taylor expansion of 1.0 in y 1.842 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in y 1.842 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 1.842 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.842 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 1.842 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.842 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.842 * [taylor]: Taking taylor expansion of 1.0 in y 1.843 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.843 * [taylor]: Taking taylor expansion of 1.0 in y 1.843 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.843 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.843 * [taylor]: Taking taylor expansion of -1 in y 1.843 * [taylor]: Taking taylor expansion of y in y 1.844 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.844 * [taylor]: Taking taylor expansion of -1 in y 1.844 * [taylor]: Taking taylor expansion of y in y 1.846 * [taylor]: Taking taylor expansion of x in y 1.847 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in x 1.847 * [taylor]: Taking taylor expansion of -1 in x 1.847 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in x 1.847 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.847 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.847 * [taylor]: Taking taylor expansion of y in x 1.847 * [taylor]: Taking taylor expansion of 1.0 in x 1.848 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in x 1.848 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 1.848 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.848 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 1.848 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.848 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.848 * [taylor]: Taking taylor expansion of 1.0 in x 1.849 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.849 * [taylor]: Taking taylor expansion of 1.0 in x 1.849 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.849 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.849 * [taylor]: Taking taylor expansion of -1 in x 1.849 * [taylor]: Taking taylor expansion of y in x 1.849 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.849 * [taylor]: Taking taylor expansion of -1 in x 1.849 * [taylor]: Taking taylor expansion of y in x 1.853 * [taylor]: Taking taylor expansion of x in x 1.854 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in x 1.854 * [taylor]: Taking taylor expansion of -1 in x 1.854 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in x 1.854 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.854 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.854 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.854 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.854 * [taylor]: Taking taylor expansion of y in x 1.854 * [taylor]: Taking taylor expansion of 1.0 in x 1.855 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in x 1.855 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 1.855 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.855 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 1.855 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.855 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.855 * [taylor]: Taking taylor expansion of 1.0 in x 1.856 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.856 * [taylor]: Taking taylor expansion of 1.0 in x 1.857 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.857 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.857 * [taylor]: Taking taylor expansion of -1 in x 1.857 * [taylor]: Taking taylor expansion of y in x 1.857 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.857 * [taylor]: Taking taylor expansion of -1 in x 1.857 * [taylor]: Taking taylor expansion of y in x 1.861 * [taylor]: Taking taylor expansion of x in x 1.863 * [taylor]: Taking taylor expansion of (* -1 (sqrt (* (+ (/ 1 (pow y 2)) 1.0) (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))))) in y 1.863 * [taylor]: Taking taylor expansion of -1 in y 1.863 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 (pow y 2)) 1.0) (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)))) in y 1.863 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y 2)) 1.0) (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 1.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.863 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.863 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.863 * [taylor]: Taking taylor expansion of y in y 1.864 * [taylor]: Taking taylor expansion of 1.0 in y 1.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 1.864 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.864 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.864 * [taylor]: Taking taylor expansion of y in y 1.864 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.864 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.864 * [taylor]: Taking taylor expansion of 1.0 in y 1.880 * [taylor]: Taking taylor expansion of 0 in y 1.889 * [taylor]: Taking taylor expansion of 0 in y 1.914 * [taylor]: Taking taylor expansion of 0 in y 1.933 * [taylor]: Taking taylor expansion of 0 in y 2.208 * * * [progress]: simplifying candidates 2.209 * [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))) (log1p (* (* 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)) (+ (+ (log x) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (hypot (sqrt 1.0) y))) (+ (log (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (log (hypot (sqrt 1.0) y))) (log (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (exp (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) 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))) (* (* (* (* 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))) (* (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)))) (cbrt (* (* 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 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h1) (* h1 h1)))))) (* (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt (sqrt (- h0 (* h1 h1))))) (* (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (hypot (sqrt h0) h1)) (* (cbrt (sqrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (sqrt (+ h0 (* h1 h1))))))) (* (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (hypot (sqrt h0) h1)) (sqrt (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))))) (* (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (hypot (sqrt h0) h1)) (sqrt (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))))) (* (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (hypot (sqrt h0) h1)) (sqrt (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (hypot (sqrt h0) h1)) (sqrt (sqrt 1))) (* (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (hypot (sqrt h0) h1)) (sqrt (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (hypot (sqrt h0) h1)) (sqrt 1)) (* (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (hypot (sqrt h0) h1)) (sqrt (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (hypot (sqrt h0) h1)) 1) (* (hypot (sqrt h0) h1) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (hypot (sqrt h0) h1)) (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (* (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (hypot (sqrt h0) h1)) (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (* (* (* h2 (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (hypot (sqrt h0) h1)) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* (* h2 (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (hypot (sqrt h0) h1)) (sqrt (sqrt (+ h0 (* h1 h1))))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h3 (/ 1 h1))) (* h4 (/ 1 (pow h1 3)))) (- (* h4 (/ 1 (pow h1 3))) (+ h1 (* h3 (/ 1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h3 (/ 1 h1))) (* h4 (/ 1 (pow h1 3)))) (- (* h4 (/ 1 (pow h1 3))) (+ h1 (* h3 (/ 1 h1)))) (* (* h2 (sqrt h0)) (pow h0 1/4)) (+ (* h5 (* h2 (sqrt (/ 1 h1)))) (+ (* 1/2 (* (* h2 (pow (sqrt h0) 2)) (sqrt (/ 1 h1)))) (* h2 (sqrt (pow h1 3))))) (- (+ (* h5 (/ (* (sqrt (* -1 h1)) h2) h1)) (+ (* 1/2 (/ (* (sqrt (* -1 h1)) (* h2 (pow (sqrt h0) 2))) h1)) (* (sqrt (* -1 h1)) (* h2 h1))))) (* h2 (pow (sqrt h0) 2)) (- (+ (* h2 (pow h1 2)) (+ (* h3 h2) (+ (* 1/2 (* h2 (pow (sqrt h0) 2))) (* h5 (/ (* h2 (pow (sqrt h0) 2)) (pow h1 2)))))) (+ (* 1/8 (/ (* h2 (pow (sqrt h0) 4)) (pow h1 2))) (* h4 (/ h2 (pow h1 2))))) (- (+ (* h2 (pow h1 2)) (+ (* h3 h2) (+ (* 1/2 (* h2 (pow (sqrt h0) 2))) (* h5 (/ (* h2 (pow (sqrt h0) 2)) (pow h1 2)))))) (+ (* 1/8 (/ (* h2 (pow (sqrt h0) 4)) (pow h1 2))) (* h4 (/ h2 (pow h1 2))))) 2.219 * * [simplify]: iteration 0 : 503 enodes (cost 1174 ) 2.232 * * [simplify]: iteration 1 : 2285 enodes (cost 1049 ) 2.282 * * [simplify]: iteration 2 : 5001 enodes (cost 930 ) 2.287 * [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)) (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 (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (log1p (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (log (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (log (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (log (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (exp (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (pow (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) 3) (pow (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) 3) (* (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (pow (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) 3) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (cbrt (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y)))) (* (hypot (sqrt 1.0) y) x) (* x (sqrt (hypot (sqrt 1.0) y))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (hypot (sqrt 1.0) y)) (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (hypot (sqrt 1.0) 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)))))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (+ (log (* (sqrt (+ 1.0 (* y y))) x)) (log (hypot (sqrt 1.0) y))) (+ (log (* (sqrt (+ 1.0 (* y y))) x)) (log (hypot (sqrt 1.0) y))) (+ (log (* (sqrt (+ 1.0 (* y y))) x)) (log (hypot (sqrt 1.0) y))) (+ (log (* (sqrt (+ 1.0 (* y y))) x)) (log (hypot (sqrt 1.0) y))) (pow (exp (* (sqrt (+ 1.0 (* y y))) x)) (hypot (sqrt 1.0) y)) (pow (* (hypot (sqrt 1.0) y) (* (sqrt (+ 1.0 (* y y))) x)) 3) (pow (* (hypot (sqrt 1.0) y) (* (sqrt (+ 1.0 (* y y))) x)) 3) (pow (* (hypot (sqrt 1.0) y) (* (sqrt (+ 1.0 (* y y))) x)) 3) (* (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 y))))) (hypot (sqrt 1.0) 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)))))) (pow (* (hypot (sqrt 1.0) y) (* (sqrt (+ 1.0 (* y y))) x)) 3) (sqrt (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (* (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (- 1.0 (* y y))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (* (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (hypot (sqrt 1.0) y) (fabs (cbrt (sqrt (+ 1.0 (* y y))))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (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) (* (* 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)))) (* x (pow (sqrt 1.0) 2)) (+ (fma x (fma y y 0.5) (/ (/ (* (* 0.25 1.0) x) y) y)) (- (* (* 1/2 1.0) x) (fma 0.125 (/ x (pow y 2)) (/ (* 1/8 x) (* (/ y 1.0) (/ y 1.0)))))) (+ (fma x (fma y y 0.5) (/ (/ (* (* 0.25 1.0) x) y) y)) (- (* (* 1/2 1.0) x) (fma 0.125 (/ x (pow y 2)) (/ (* 1/8 x) (* (/ y 1.0) (/ y 1.0)))))) 2.288 * * * [progress]: adding candidates to table 2.663 * * [progress]: iteration 4 / 4 2.663 * * * [progress]: picking best candidate 2.665 * * * * [pick]: Picked # 2.665 * * * [progress]: localizing error 2.674 * * * [progress]: generating rewritten candidates 2.674 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.691 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 2.691 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.692 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 2.700 * * * [progress]: generating series expansions 2.700 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.701 * [approximate]: Taking taylor expansion of (* (pow (hypot (sqrt 1.0) y) 2) x) in (y x) around 0 2.701 * [taylor]: Taking taylor expansion of (* (pow (hypot (sqrt 1.0) y) 2) x) in x 2.701 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) y) 2) in x 2.701 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 2.701 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 2.701 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 2.701 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.701 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.701 * [taylor]: Taking taylor expansion of 1.0 in x 2.702 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.702 * [taylor]: Taking taylor expansion of 1.0 in x 2.703 * [taylor]: Taking taylor expansion of (* y y) in x 2.703 * [taylor]: Taking taylor expansion of y in x 2.703 * [taylor]: Taking taylor expansion of y in x 2.707 * [taylor]: Taking taylor expansion of x in x 2.707 * [taylor]: Taking taylor expansion of (* (pow (hypot (sqrt 1.0) y) 2) x) in y 2.707 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) y) 2) in y 2.707 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 2.707 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 2.707 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 2.707 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.707 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.707 * [taylor]: Taking taylor expansion of 1.0 in y 2.708 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.708 * [taylor]: Taking taylor expansion of 1.0 in y 2.709 * [taylor]: Taking taylor expansion of (* y y) in y 2.709 * [taylor]: Taking taylor expansion of y in y 2.709 * [taylor]: Taking taylor expansion of y in y 2.713 * [taylor]: Taking taylor expansion of x in y 2.713 * [taylor]: Taking taylor expansion of (* (pow (hypot (sqrt 1.0) y) 2) x) in y 2.713 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) y) 2) in y 2.713 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 2.713 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 2.713 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 2.713 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.714 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.714 * [taylor]: Taking taylor expansion of 1.0 in y 2.714 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.714 * [taylor]: Taking taylor expansion of 1.0 in y 2.715 * [taylor]: Taking taylor expansion of (* y y) in y 2.715 * [taylor]: Taking taylor expansion of y in y 2.715 * [taylor]: Taking taylor expansion of y in y 2.719 * [taylor]: Taking taylor expansion of x in y 2.721 * [taylor]: Taking taylor expansion of (* x (pow (sqrt 1.0) 2)) in x 2.721 * [taylor]: Taking taylor expansion of x in x 2.721 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.721 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.721 * [taylor]: Taking taylor expansion of 1.0 in x 2.724 * [taylor]: Taking taylor expansion of 0 in x 2.740 * [taylor]: Taking taylor expansion of x in x 2.748 * [taylor]: Taking taylor expansion of 0 in x 2.768 * [taylor]: Taking taylor expansion of 0 in x 2.770 * [approximate]: Taking taylor expansion of (/ (pow (hypot (sqrt 1.0) (/ 1 y)) 2) x) in (y x) around 0 2.770 * [taylor]: Taking taylor expansion of (/ (pow (hypot (sqrt 1.0) (/ 1 y)) 2) x) in x 2.770 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) (/ 1 y)) 2) in x 2.770 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 2.770 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 2.770 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 2.770 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.770 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.770 * [taylor]: Taking taylor expansion of 1.0 in x 2.771 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.771 * [taylor]: Taking taylor expansion of 1.0 in x 2.772 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.772 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.772 * [taylor]: Taking taylor expansion of y in x 2.772 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.772 * [taylor]: Taking taylor expansion of y in x 2.776 * [taylor]: Taking taylor expansion of x in x 2.778 * [taylor]: Taking taylor expansion of (/ (pow (hypot (sqrt 1.0) (/ 1 y)) 2) x) in y 2.778 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) (/ 1 y)) 2) in y 2.778 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 2.779 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 2.779 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 2.779 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.779 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.779 * [taylor]: Taking taylor expansion of 1.0 in y 2.779 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.779 * [taylor]: Taking taylor expansion of 1.0 in y 2.780 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.780 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.780 * [taylor]: Taking taylor expansion of y in y 2.780 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.780 * [taylor]: Taking taylor expansion of y in y 2.783 * [taylor]: Taking taylor expansion of x in y 2.783 * [taylor]: Taking taylor expansion of (/ (pow (hypot (sqrt 1.0) (/ 1 y)) 2) x) in y 2.783 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) (/ 1 y)) 2) in y 2.783 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 2.783 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 2.784 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 2.784 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.784 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.784 * [taylor]: Taking taylor expansion of 1.0 in y 2.784 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.784 * [taylor]: Taking taylor expansion of 1.0 in y 2.785 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.785 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.785 * [taylor]: Taking taylor expansion of y in y 2.785 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.785 * [taylor]: Taking taylor expansion of y in y 2.788 * [taylor]: Taking taylor expansion of x in y 2.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.788 * [taylor]: Taking taylor expansion of x in x 2.789 * [taylor]: Taking taylor expansion of 0 in x 2.801 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) x) in x 2.801 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.802 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.802 * [taylor]: Taking taylor expansion of 1.0 in x 2.802 * [taylor]: Taking taylor expansion of x in x 2.811 * [taylor]: Taking taylor expansion of 0 in x 2.837 * [taylor]: Taking taylor expansion of 0 in x 2.838 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (hypot (sqrt 1.0) (/ -1 y)) 2) x)) in (y x) around 0 2.838 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (hypot (sqrt 1.0) (/ -1 y)) 2) x)) in x 2.838 * [taylor]: Taking taylor expansion of -1 in x 2.838 * [taylor]: Taking taylor expansion of (/ (pow (hypot (sqrt 1.0) (/ -1 y)) 2) x) in x 2.839 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) (/ -1 y)) 2) in x 2.839 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 2.839 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.839 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 2.839 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.839 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.839 * [taylor]: Taking taylor expansion of 1.0 in x 2.839 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.840 * [taylor]: Taking taylor expansion of 1.0 in x 2.840 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.840 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.840 * [taylor]: Taking taylor expansion of -1 in x 2.840 * [taylor]: Taking taylor expansion of y in x 2.840 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.840 * [taylor]: Taking taylor expansion of -1 in x 2.840 * [taylor]: Taking taylor expansion of y in x 2.844 * [taylor]: Taking taylor expansion of x in x 2.847 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (hypot (sqrt 1.0) (/ -1 y)) 2) x)) in y 2.847 * [taylor]: Taking taylor expansion of -1 in y 2.847 * [taylor]: Taking taylor expansion of (/ (pow (hypot (sqrt 1.0) (/ -1 y)) 2) x) in y 2.847 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) (/ -1 y)) 2) in y 2.847 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 2.847 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.847 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 2.847 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.847 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.847 * [taylor]: Taking taylor expansion of 1.0 in y 2.848 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.848 * [taylor]: Taking taylor expansion of 1.0 in y 2.848 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.848 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.848 * [taylor]: Taking taylor expansion of -1 in y 2.849 * [taylor]: Taking taylor expansion of y in y 2.849 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.849 * [taylor]: Taking taylor expansion of -1 in y 2.849 * [taylor]: Taking taylor expansion of y in y 2.851 * [taylor]: Taking taylor expansion of x in y 2.852 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (hypot (sqrt 1.0) (/ -1 y)) 2) x)) in y 2.852 * [taylor]: Taking taylor expansion of -1 in y 2.852 * [taylor]: Taking taylor expansion of (/ (pow (hypot (sqrt 1.0) (/ -1 y)) 2) x) in y 2.852 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) (/ -1 y)) 2) in y 2.852 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 2.852 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.852 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 2.852 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.852 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.852 * [taylor]: Taking taylor expansion of 1.0 in y 2.853 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.853 * [taylor]: Taking taylor expansion of 1.0 in y 2.854 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.854 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.854 * [taylor]: Taking taylor expansion of -1 in y 2.854 * [taylor]: Taking taylor expansion of y in y 2.854 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.854 * [taylor]: Taking taylor expansion of -1 in y 2.854 * [taylor]: Taking taylor expansion of y in y 2.857 * [taylor]: Taking taylor expansion of x in y 2.857 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.857 * [taylor]: Taking taylor expansion of -1 in x 2.857 * [taylor]: Taking taylor expansion of x in x 2.858 * [taylor]: Taking taylor expansion of 0 in x 2.873 * [taylor]: Taking taylor expansion of (- (/ (pow (sqrt 1.0) 2) x)) in x 2.873 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) x) in x 2.873 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.873 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.873 * [taylor]: Taking taylor expansion of 1.0 in x 2.874 * [taylor]: Taking taylor expansion of x in x 2.885 * [taylor]: Taking taylor expansion of 0 in x 2.909 * [taylor]: Taking taylor expansion of 0 in x 2.910 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 2.910 * [approximate]: Taking taylor expansion of (hypot (sqrt 1.0) y) in (y) around 0 2.910 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 2.911 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 2.911 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 2.911 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.911 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.911 * [taylor]: Taking taylor expansion of 1.0 in y 2.911 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.911 * [taylor]: Taking taylor expansion of 1.0 in y 2.912 * [taylor]: Taking taylor expansion of (* y y) in y 2.912 * [taylor]: Taking taylor expansion of y in y 2.912 * [taylor]: Taking taylor expansion of y in y 2.917 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 2.917 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 2.917 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 2.917 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.917 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.917 * [taylor]: Taking taylor expansion of 1.0 in y 2.918 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.918 * [taylor]: Taking taylor expansion of 1.0 in y 2.918 * [taylor]: Taking taylor expansion of (* y y) in y 2.918 * [taylor]: Taking taylor expansion of y in y 2.918 * [taylor]: Taking taylor expansion of y in y 2.947 * [approximate]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in (y) around 0 2.947 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 2.947 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 2.947 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 2.947 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.947 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.947 * [taylor]: Taking taylor expansion of 1.0 in y 2.948 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.948 * [taylor]: Taking taylor expansion of 1.0 in y 2.948 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.948 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.948 * [taylor]: Taking taylor expansion of y in y 2.949 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.949 * [taylor]: Taking taylor expansion of y in y 2.951 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 2.952 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 2.952 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 2.952 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.952 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.952 * [taylor]: Taking taylor expansion of 1.0 in y 2.953 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.953 * [taylor]: Taking taylor expansion of 1.0 in y 2.953 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.953 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.953 * [taylor]: Taking taylor expansion of y in y 2.954 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.954 * [taylor]: Taking taylor expansion of y in y 2.978 * [approximate]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in (y) around 0 2.978 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 2.978 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.978 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 2.978 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.978 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.978 * [taylor]: Taking taylor expansion of 1.0 in y 2.979 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.979 * [taylor]: Taking taylor expansion of 1.0 in y 2.979 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.979 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.979 * [taylor]: Taking taylor expansion of -1 in y 2.979 * [taylor]: Taking taylor expansion of y in y 2.980 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.980 * [taylor]: Taking taylor expansion of -1 in y 2.980 * [taylor]: Taking taylor expansion of y in y 2.982 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 2.983 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.983 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 2.983 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.983 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.983 * [taylor]: Taking taylor expansion of 1.0 in y 2.983 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.983 * [taylor]: Taking taylor expansion of 1.0 in y 2.984 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.984 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.984 * [taylor]: Taking taylor expansion of -1 in y 2.984 * [taylor]: Taking taylor expansion of y in y 2.985 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.985 * [taylor]: Taking taylor expansion of -1 in y 2.985 * [taylor]: Taking taylor expansion of y in y 3.009 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.009 * [approximate]: Taking taylor expansion of (hypot (sqrt 1.0) y) in (y) around 0 3.009 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 3.009 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 3.009 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 3.009 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 3.009 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 3.009 * [taylor]: Taking taylor expansion of 1.0 in y 3.010 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 3.010 * [taylor]: Taking taylor expansion of 1.0 in y 3.011 * [taylor]: Taking taylor expansion of (* y y) in y 3.011 * [taylor]: Taking taylor expansion of y in y 3.011 * [taylor]: Taking taylor expansion of y in y 3.019 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 3.020 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 3.020 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 3.020 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 3.020 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 3.020 * [taylor]: Taking taylor expansion of 1.0 in y 3.020 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 3.021 * [taylor]: Taking taylor expansion of 1.0 in y 3.021 * [taylor]: Taking taylor expansion of (* y y) in y 3.021 * [taylor]: Taking taylor expansion of y in y 3.021 * [taylor]: Taking taylor expansion of y in y 3.044 * [approximate]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in (y) around 0 3.044 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 3.044 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 3.044 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 3.044 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 3.044 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 3.044 * [taylor]: Taking taylor expansion of 1.0 in y 3.045 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 3.045 * [taylor]: Taking taylor expansion of 1.0 in y 3.046 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 3.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.046 * [taylor]: Taking taylor expansion of y in y 3.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.046 * [taylor]: Taking taylor expansion of y in y 3.049 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 3.049 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 3.049 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 3.049 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 3.049 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 3.049 * [taylor]: Taking taylor expansion of 1.0 in y 3.050 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 3.050 * [taylor]: Taking taylor expansion of 1.0 in y 3.051 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 3.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.051 * [taylor]: Taking taylor expansion of y in y 3.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.051 * [taylor]: Taking taylor expansion of y in y 3.075 * [approximate]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in (y) around 0 3.075 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 3.075 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 3.075 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 3.075 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 3.075 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 3.075 * [taylor]: Taking taylor expansion of 1.0 in y 3.076 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 3.076 * [taylor]: Taking taylor expansion of 1.0 in y 3.076 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 3.076 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.076 * [taylor]: Taking taylor expansion of -1 in y 3.076 * [taylor]: Taking taylor expansion of y in y 3.077 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.077 * [taylor]: Taking taylor expansion of -1 in y 3.077 * [taylor]: Taking taylor expansion of y in y 3.079 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 3.080 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 3.080 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 3.080 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 3.080 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 3.080 * [taylor]: Taking taylor expansion of 1.0 in y 3.080 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 3.080 * [taylor]: Taking taylor expansion of 1.0 in y 3.081 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 3.081 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.081 * [taylor]: Taking taylor expansion of -1 in y 3.081 * [taylor]: Taking taylor expansion of y in y 3.081 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.081 * [taylor]: Taking taylor expansion of -1 in y 3.081 * [taylor]: Taking taylor expansion of y in y 3.110 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 3.110 * [approximate]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in (x y) around 0 3.110 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in y 3.110 * [taylor]: Taking taylor expansion of x in y 3.110 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 3.111 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 3.111 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 3.111 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 3.111 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 3.111 * [taylor]: Taking taylor expansion of 1.0 in y 3.111 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 3.111 * [taylor]: Taking taylor expansion of 1.0 in y 3.112 * [taylor]: Taking taylor expansion of (* y y) in y 3.112 * [taylor]: Taking taylor expansion of y in y 3.112 * [taylor]: Taking taylor expansion of y in y 3.117 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in x 3.117 * [taylor]: Taking taylor expansion of x in x 3.117 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 3.117 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 3.117 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 3.117 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.117 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.117 * [taylor]: Taking taylor expansion of 1.0 in x 3.118 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.118 * [taylor]: Taking taylor expansion of 1.0 in x 3.118 * [taylor]: Taking taylor expansion of (* y y) in x 3.118 * [taylor]: Taking taylor expansion of y in x 3.118 * [taylor]: Taking taylor expansion of y in x 3.122 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in x 3.122 * [taylor]: Taking taylor expansion of x in x 3.122 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 3.122 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 3.122 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 3.122 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.122 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.122 * [taylor]: Taking taylor expansion of 1.0 in x 3.123 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.123 * [taylor]: Taking taylor expansion of 1.0 in x 3.124 * [taylor]: Taking taylor expansion of (* y y) in x 3.124 * [taylor]: Taking taylor expansion of y in x 3.124 * [taylor]: Taking taylor expansion of y in x 3.128 * [taylor]: Taking taylor expansion of 0 in y 3.129 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow (sqrt 1.0) 2))) in y 3.129 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow (sqrt 1.0) 2)) in y 3.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.129 * [taylor]: Taking taylor expansion of y in y 3.129 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 3.130 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 3.130 * [taylor]: Taking taylor expansion of 1.0 in y 3.139 * [taylor]: Taking taylor expansion of 0 in y 3.145 * [taylor]: Taking taylor expansion of 0 in y 3.145 * [approximate]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in (x y) around 0 3.145 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in y 3.145 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 3.146 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 3.146 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 3.146 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 3.146 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 3.146 * [taylor]: Taking taylor expansion of 1.0 in y 3.146 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 3.146 * [taylor]: Taking taylor expansion of 1.0 in y 3.147 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 3.147 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.147 * [taylor]: Taking taylor expansion of y in y 3.147 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.147 * [taylor]: Taking taylor expansion of y in y 3.150 * [taylor]: Taking taylor expansion of x in y 3.150 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in x 3.151 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 3.151 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 3.151 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 3.151 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.151 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.151 * [taylor]: Taking taylor expansion of 1.0 in x 3.151 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.151 * [taylor]: Taking taylor expansion of 1.0 in x 3.152 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 3.152 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.152 * [taylor]: Taking taylor expansion of y in x 3.152 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.152 * [taylor]: Taking taylor expansion of y in x 3.156 * [taylor]: Taking taylor expansion of x in x 3.157 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in x 3.157 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 3.157 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 3.157 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 3.157 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.157 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.157 * [taylor]: Taking taylor expansion of 1.0 in x 3.158 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.158 * [taylor]: Taking taylor expansion of 1.0 in x 3.158 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 3.158 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.159 * [taylor]: Taking taylor expansion of y in x 3.159 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.159 * [taylor]: Taking taylor expansion of y in x 3.162 * [taylor]: Taking taylor expansion of x in x 3.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 3.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 3.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.163 * [taylor]: Taking taylor expansion of y in y 3.164 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 3.164 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 3.164 * [taylor]: Taking taylor expansion of 1.0 in y 3.168 * [taylor]: Taking taylor expansion of 0 in y 3.173 * [taylor]: Taking taylor expansion of 0 in y 3.185 * [taylor]: Taking taylor expansion of 0 in y 3.195 * [taylor]: Taking taylor expansion of 0 in y 3.197 * [approximate]: Taking taylor expansion of (* -1 (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in (x y) around 0 3.197 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in y 3.197 * [taylor]: Taking taylor expansion of -1 in y 3.197 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in y 3.197 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 3.198 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 3.198 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 3.198 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 3.198 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 3.198 * [taylor]: Taking taylor expansion of 1.0 in y 3.199 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 3.199 * [taylor]: Taking taylor expansion of 1.0 in y 3.199 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 3.199 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.199 * [taylor]: Taking taylor expansion of -1 in y 3.200 * [taylor]: Taking taylor expansion of y in y 3.200 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.200 * [taylor]: Taking taylor expansion of -1 in y 3.200 * [taylor]: Taking taylor expansion of y in y 3.203 * [taylor]: Taking taylor expansion of x in y 3.203 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in x 3.203 * [taylor]: Taking taylor expansion of -1 in x 3.203 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in x 3.203 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 3.203 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 3.203 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 3.203 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.203 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.203 * [taylor]: Taking taylor expansion of 1.0 in x 3.204 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.204 * [taylor]: Taking taylor expansion of 1.0 in x 3.204 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 3.204 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.204 * [taylor]: Taking taylor expansion of -1 in x 3.204 * [taylor]: Taking taylor expansion of y in x 3.204 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.205 * [taylor]: Taking taylor expansion of -1 in x 3.205 * [taylor]: Taking taylor expansion of y in x 3.213 * [taylor]: Taking taylor expansion of x in x 3.214 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in x 3.214 * [taylor]: Taking taylor expansion of -1 in x 3.214 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in x 3.214 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 3.214 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 3.214 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 3.214 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.214 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.214 * [taylor]: Taking taylor expansion of 1.0 in x 3.215 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.215 * [taylor]: Taking taylor expansion of 1.0 in x 3.215 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 3.215 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.215 * [taylor]: Taking taylor expansion of -1 in x 3.215 * [taylor]: Taking taylor expansion of y in x 3.216 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.216 * [taylor]: Taking taylor expansion of -1 in x 3.216 * [taylor]: Taking taylor expansion of y in x 3.220 * [taylor]: Taking taylor expansion of x in x 3.221 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)))) in y 3.221 * [taylor]: Taking taylor expansion of -1 in y 3.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 3.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 3.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.221 * [taylor]: Taking taylor expansion of y in y 3.222 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 3.222 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 3.222 * [taylor]: Taking taylor expansion of 1.0 in y 3.227 * [taylor]: Taking taylor expansion of 0 in y 3.234 * [taylor]: Taking taylor expansion of 0 in y 3.251 * [taylor]: Taking taylor expansion of 0 in y 3.264 * [taylor]: Taking taylor expansion of 0 in y 3.266 * * * [progress]: simplifying candidates 3.267 * [simplify]: Simplifying using # : (expm1 (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (log1p (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (+ (log (hypot (sqrt 1.0) y)) (+ (log x) (log (hypot (sqrt 1.0) y)))) (+ (log (hypot (sqrt 1.0) y)) (log (* x (hypot (sqrt 1.0) y)))) (log (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (exp (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (* (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y)) (* (* (* x x) x) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y)))) (* (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y)) (* (* (* x (hypot (sqrt 1.0) y)) (* x (hypot (sqrt 1.0) y))) (* x (hypot (sqrt 1.0) y)))) (* (cbrt (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (cbrt (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))))) (cbrt (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (* (* (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (sqrt (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (sqrt (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (* (hypot (sqrt 1.0) y) x) (* (cbrt (hypot (sqrt 1.0) y)) (* x (hypot (sqrt 1.0) y))) (* (sqrt (hypot (sqrt 1.0) y)) (* x (hypot (sqrt 1.0) y))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (expm1 (hypot (sqrt 1.0) y)) (log1p (hypot (sqrt 1.0) y)) (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) (log (hypot (sqrt 1.0) y)) (exp (hypot (sqrt 1.0) y)) (* (cbrt (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y))) (cbrt (hypot (sqrt 1.0) y)) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) (expm1 (hypot (sqrt 1.0) y)) (log1p (hypot (sqrt 1.0) y)) (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) (log (hypot (sqrt 1.0) y)) (exp (hypot (sqrt 1.0) y)) (* (cbrt (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y))) (cbrt (hypot (sqrt 1.0) y)) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) (expm1 (* x (hypot (sqrt 1.0) y))) (log1p (* x (hypot (sqrt 1.0) y))) (* x (hypot (sqrt 1.0) y)) (+ (log x) (log (hypot (sqrt 1.0) y))) (log (* x (hypot (sqrt 1.0) y))) (exp (* x (hypot (sqrt 1.0) y))) (* (* (* x x) x) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y))) (* (cbrt (* x (hypot (sqrt 1.0) y))) (cbrt (* x (hypot (sqrt 1.0) y)))) (cbrt (* x (hypot (sqrt 1.0) y))) (* (* (* x (hypot (sqrt 1.0) y)) (* x (hypot (sqrt 1.0) y))) (* x (hypot (sqrt 1.0) y))) (sqrt (* x (hypot (sqrt 1.0) y))) (sqrt (* x (hypot (sqrt 1.0) y))) (* (sqrt x) (sqrt (hypot (sqrt 1.0) y))) (* (sqrt x) (sqrt (hypot (sqrt 1.0) y))) (* x (* (cbrt (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y)))) (* x (sqrt (hypot (sqrt 1.0) y))) (* x 1) (* (cbrt x) (hypot (sqrt 1.0) y)) (* (sqrt x) (hypot (sqrt 1.0) y)) (* x (hypot (sqrt 1.0) y)) (+ (* x (pow y 2)) (* x (pow (sqrt 1.0) 2))) (+ (* x (pow y 2)) (* x (pow (sqrt 1.0) 2))) (+ (* x (pow y 2)) (* x (pow (sqrt 1.0) 2))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ (* 1/2 (/ (pow (sqrt 1.0) 2) y)) y) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow y 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow y 3))) (+ (* 1/2 (/ (pow (sqrt 1.0) 2) y)) y)) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ (* 1/2 (/ (pow (sqrt 1.0) 2) y)) y) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow y 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow y 3))) (+ (* 1/2 (/ (pow (sqrt 1.0) 2) y)) y)) (* x (sqrt 1.0)) (+ (* 1/2 (/ (* x (pow (sqrt 1.0) 2)) y)) (* x y)) (- (+ (* 1/2 (/ (* x (pow (sqrt 1.0) 2)) y)) (* x y))) 3.267 * [simplify]: Sending expressions to egg_math: (expm1 (* (hypot (sqrt h0) h1) (* h2 (hypot (sqrt h0) h1)))) (log1p (* (hypot (sqrt h0) h1) (* h2 (hypot (sqrt h0) h1)))) (* (hypot (sqrt h0) h1) (* h2 (hypot (sqrt h0) h1))) (* (hypot (sqrt h0) h1) (* h2 (hypot (sqrt h0) h1))) (+ (log (hypot (sqrt h0) h1)) (+ (log h2) (log (hypot (sqrt h0) h1)))) (+ (log (hypot (sqrt h0) h1)) (log (* h2 (hypot (sqrt h0) h1)))) (log (* (hypot (sqrt h0) h1) (* h2 (hypot (sqrt h0) h1)))) (exp (* (hypot (sqrt h0) h1) (* h2 (hypot (sqrt h0) h1)))) (* (* (* (hypot (sqrt h0) h1) (hypot (sqrt h0) h1)) (hypot (sqrt h0) h1)) (* (* (* h2 h2) h2) (* (* (hypot (sqrt h0) h1) (hypot (sqrt h0) h1)) (hypot (sqrt h0) h1)))) (* (* (* (hypot (sqrt h0) h1) (hypot (sqrt h0) h1)) (hypot (sqrt h0) h1)) (* (* (* h2 (hypot (sqrt h0) h1)) (* h2 (hypot (sqrt h0) h1))) (* h2 (hypot (sqrt h0) h1)))) (* (cbrt (* (hypot (sqrt h0) h1) (* h2 (hypot (sqrt h0) h1)))) (cbrt (* (hypot (sqrt h0) h1) (* h2 (hypot (sqrt h0) h1))))) (cbrt (* (hypot (sqrt h0) h1) (* h2 (hypot (sqrt h0) h1)))) (* (* (* (hypot (sqrt h0) h1) (* h2 (hypot (sqrt h0) h1))) (* (hypot (sqrt h0) h1) (* h2 (hypot (sqrt h0) h1)))) (* (hypot (sqrt h0) h1) (* h2 (hypot (sqrt h0) h1)))) (sqrt (* (hypot (sqrt h0) h1) (* h2 (hypot (sqrt h0) h1)))) (sqrt (* (hypot (sqrt h0) h1) (* h2 (hypot (sqrt h0) h1)))) (* (hypot (sqrt h0) h1) h2) (* (cbrt (hypot (sqrt h0) h1)) (* h2 (hypot (sqrt h0) h1))) (* (sqrt (hypot (sqrt h0) h1)) (* h2 (hypot (sqrt h0) h1))) (* (hypot (sqrt h0) h1) (* h2 (hypot (sqrt h0) h1))) (expm1 (hypot (sqrt h0) h1)) (log1p (hypot (sqrt h0) h1)) (+ (* (sqrt h0) (sqrt h0)) (* h1 h1)) (log (hypot (sqrt h0) h1)) (exp (hypot (sqrt h0) h1)) (* (cbrt (hypot (sqrt h0) h1)) (cbrt (hypot (sqrt h0) h1))) (cbrt (hypot (sqrt h0) h1)) (* (* (hypot (sqrt h0) h1) (hypot (sqrt h0) h1)) (hypot (sqrt h0) h1)) (sqrt (hypot (sqrt h0) h1)) (sqrt (hypot (sqrt h0) h1)) (expm1 (hypot (sqrt h0) h1)) (log1p (hypot (sqrt h0) h1)) (+ (* (sqrt h0) (sqrt h0)) (* h1 h1)) (log (hypot (sqrt h0) h1)) (exp (hypot (sqrt h0) h1)) (* (cbrt (hypot (sqrt h0) h1)) (cbrt (hypot (sqrt h0) h1))) (cbrt (hypot (sqrt h0) h1)) (* (* (hypot (sqrt h0) h1) (hypot (sqrt h0) h1)) (hypot (sqrt h0) h1)) (sqrt (hypot (sqrt h0) h1)) (sqrt (hypot (sqrt h0) h1)) (expm1 (* h2 (hypot (sqrt h0) h1))) (log1p (* h2 (hypot (sqrt h0) h1))) (* h2 (hypot (sqrt h0) h1)) (+ (log h2) (log (hypot (sqrt h0) h1))) (log (* h2 (hypot (sqrt h0) h1))) (exp (* h2 (hypot (sqrt h0) h1))) (* (* (* h2 h2) h2) (* (* (hypot (sqrt h0) h1) (hypot (sqrt h0) h1)) (hypot (sqrt h0) h1))) (* (cbrt (* h2 (hypot (sqrt h0) h1))) (cbrt (* h2 (hypot (sqrt h0) h1)))) (cbrt (* h2 (hypot (sqrt h0) h1))) (* (* (* h2 (hypot (sqrt h0) h1)) (* h2 (hypot (sqrt h0) h1))) (* h2 (hypot (sqrt h0) h1))) (sqrt (* h2 (hypot (sqrt h0) h1))) (sqrt (* h2 (hypot (sqrt h0) h1))) (* (sqrt h2) (sqrt (hypot (sqrt h0) h1))) (* (sqrt h2) (sqrt (hypot (sqrt h0) h1))) (* h2 (* (cbrt (hypot (sqrt h0) h1)) (cbrt (hypot (sqrt h0) h1)))) (* h2 (sqrt (hypot (sqrt h0) h1))) (* h2 1) (* (cbrt h2) (hypot (sqrt h0) h1)) (* (sqrt h2) (hypot (sqrt h0) h1)) (* h2 (hypot (sqrt h0) h1)) (+ (* h2 (pow h1 2)) (* h2 (pow (sqrt h0) 2))) (+ (* h2 (pow h1 2)) (* h2 (pow (sqrt h0) 2))) (+ (* h2 (pow h1 2)) (* h2 (pow (sqrt h0) 2))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ (* 1/2 (/ (pow (sqrt h0) 2) h1)) h1) (* 1/8 (/ (pow (sqrt h0) 4) (pow h1 3)))) (- (* 1/8 (/ (pow (sqrt h0) 4) (pow h1 3))) (+ (* 1/2 (/ (pow (sqrt h0) 2) h1)) h1)) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ (* 1/2 (/ (pow (sqrt h0) 2) h1)) h1) (* 1/8 (/ (pow (sqrt h0) 4) (pow h1 3)))) (- (* 1/8 (/ (pow (sqrt h0) 4) (pow h1 3))) (+ (* 1/2 (/ (pow (sqrt h0) 2) h1)) h1)) (* h2 (sqrt h0)) (+ (* 1/2 (/ (* h2 (pow (sqrt h0) 2)) h1)) (* h2 h1)) (- (+ (* 1/2 (/ (* h2 (pow (sqrt h0) 2)) h1)) (* h2 h1))) 3.273 * * [simplify]: iteration 0 : 213 enodes (cost 439 ) 3.280 * * [simplify]: iteration 1 : 803 enodes (cost 361 ) 3.301 * * [simplify]: iteration 2 : 3698 enodes (cost 352 ) 3.387 * * [simplify]: iteration 3 : 5002 enodes (cost 344 ) 3.389 * [simplify]: Simplified to: (expm1 (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (log1p (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (fma 2 (log (hypot (sqrt 1.0) y)) (log x)) (fma 2 (log (hypot (sqrt 1.0) y)) (log x)) (fma 2 (log (hypot (sqrt 1.0) y)) (log x)) (exp (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (* (* (pow (hypot (sqrt 1.0) y) 6) x) (* x x)) (* (* (pow (hypot (sqrt 1.0) y) 6) x) (* x x)) (* (cbrt (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (cbrt (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))))) (cbrt (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (* (* (pow (hypot (sqrt 1.0) y) 6) x) (* x x)) (sqrt (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (sqrt (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (* x (hypot (sqrt 1.0) y)) (* (cbrt (hypot (sqrt 1.0) y)) (* x (hypot (sqrt 1.0) y))) (* (sqrt (hypot (sqrt 1.0) y)) (* x (hypot (sqrt 1.0) y))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (expm1 (hypot (sqrt 1.0) y)) (log1p (hypot (sqrt 1.0) y)) (fma y y 1.0) (log (hypot (sqrt 1.0) y)) (exp (hypot (sqrt 1.0) y)) (* (cbrt (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y))) (cbrt (hypot (sqrt 1.0) y)) (pow (hypot (sqrt 1.0) y) 3) (sqrt (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) (expm1 (hypot (sqrt 1.0) y)) (log1p (hypot (sqrt 1.0) y)) (fma y y 1.0) (log (hypot (sqrt 1.0) y)) (exp (hypot (sqrt 1.0) y)) (* (cbrt (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y))) (cbrt (hypot (sqrt 1.0) y)) (pow (hypot (sqrt 1.0) y) 3) (sqrt (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) (expm1 (* x (hypot (sqrt 1.0) y))) (log1p (* x (hypot (sqrt 1.0) y))) (* x (hypot (sqrt 1.0) y)) (log (* x (hypot (sqrt 1.0) y))) (log (* x (hypot (sqrt 1.0) y))) (exp (* x (hypot (sqrt 1.0) y))) (pow (* x (hypot (sqrt 1.0) y)) 3) (* (cbrt (* x (hypot (sqrt 1.0) y))) (cbrt (* x (hypot (sqrt 1.0) y)))) (cbrt (* x (hypot (sqrt 1.0) y))) (pow (* x (hypot (sqrt 1.0) y)) 3) (sqrt (* x (hypot (sqrt 1.0) y))) (sqrt (* x (hypot (sqrt 1.0) y))) (* (sqrt x) (sqrt (hypot (sqrt 1.0) y))) (* (sqrt x) (sqrt (hypot (sqrt 1.0) y))) (* x (* (cbrt (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y)))) (* x (sqrt (hypot (sqrt 1.0) y))) x (* (cbrt x) (hypot (sqrt 1.0) y)) (* (sqrt x) (hypot (sqrt 1.0) y)) (* x (hypot (sqrt 1.0) y)) (* x (fma y y 1.0)) (* x (fma y y 1.0)) (* x (fma y y 1.0)) (fma 1/2 (/ (pow y 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3))))) (fma (/ 1/2 y) 1.0 (- y (/ (* (* 1.0 1.0) 1/8) (pow y 3)))) (- (- (/ (* (* 1.0 1.0) 1/8) (pow y 3)) y) (/ (* 1/2 1.0) y)) (fma 1/2 (/ (pow y 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3))))) (fma (/ 1/2 y) 1.0 (- y (/ (* (* 1.0 1.0) 1/8) (pow y 3)))) (- (- (/ (* (* 1.0 1.0) 1/8) (pow y 3)) y) (/ (* 1/2 1.0) y)) (* x (sqrt 1.0)) (fma (/ x (/ y 1.0)) 1/2 (* x y)) (- (* (- 1/2) (/ x (/ y 1.0))) (* x y)) 3.390 * * * [progress]: adding candidates to table 3.600 * [progress]: [Phase 3 of 3] Extracting. 3.600 * * [regime]: Finding splitpoints for: (# # # #) 3.600 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 3.600 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 3.619 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # #) 3.635 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# # # #) 3.657 * * * * [regimes]: Trying to branch on y from (# # # #) 3.676 * * * * [regimes]: Trying to branch on x from (# # # #) 3.699 * * * [regime]: Found split indices: #