24.134 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.015 * [simplify]: Sending expressions to egg_math: (* h0 (+ h1 (* h2 h2))) 0.018 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.019 * * [simplify]: iteration 1 : 23 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 30 enodes (cost 3 ) 0.022 * * [simplify]: iteration 3 : 31 enodes (cost 3 ) 0.023 * * [simplify]: iteration 4 : 31 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.045 * * * [progress]: generating series expansions 0.045 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.045 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 1.0 in y 0.045 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 1.0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 1.0 in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of 1.0 in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of 1.0 in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 1.0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.070 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.070 * [taylor]: Taking taylor expansion of -1 in y 0.070 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of 1.0 in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.070 * [taylor]: Taking taylor expansion of -1 in x 0.070 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.071 * [taylor]: Taking taylor expansion of -1 in x 0.071 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.071 * [taylor]: Taking taylor expansion of -1 in y 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of 1.0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.094 * * * [progress]: simplifying candidates 0.094 * [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)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.094 * [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)))) (* h1 h0) (+ (* h0 (pow h2 2)) (* h1 h0)) (+ (* h0 (pow h2 2)) (* h1 h0)) 0.098 * * [simplify]: iteration 0 : 148 enodes (cost 123 ) 0.101 * * [simplify]: iteration 1 : 742 enodes (cost 103 ) 0.115 * * [simplify]: iteration 2 : 3453 enodes (cost 100 ) 0.172 * * [simplify]: iteration 3 : 5001 enodes (cost 100 ) 0.173 * [simplify]: Simplified to: (expm1 (* x (+ 1.0 (* y y)))) (log1p (* x (+ 1.0 (* y y)))) (* (fma y y 1.0) x) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (pow (exp x) (fma y y 1.0)) (pow (* (fma y y 1.0) x) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* (fma y y 1.0) x) 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) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* (fma y y 1.0) x) (fma x (pow 1.0 3) (* x (pow y 6))) (* (* x (fma y y 1.0)) (- 1.0 (pow y 2))) (* x 1.0) (* (fma y y 1.0) x) (* (fma y y 1.0) x) 0.173 * * * [progress]: adding candidates to table 0.221 * * [progress]: iteration 2 / 4 0.221 * * * [progress]: picking best candidate 0.227 * * * * [pick]: Picked # 0.228 * * * [progress]: localizing error 0.234 * * * [progress]: generating rewritten candidates 0.234 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.240 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.245 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.290 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.313 * * * [progress]: generating series expansions 0.313 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.313 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.313 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.313 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.313 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of 1.0 in y 0.315 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.315 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.315 * [taylor]: Taking taylor expansion of 1.0 in y 0.327 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of 1.0 in y 0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of 1.0 in y 0.340 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of 1.0 in y 0.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of 1.0 in y 0.353 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.353 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.353 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.353 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of 1.0 in y 0.354 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.354 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of 1.0 in y 0.367 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of 1.0 in y 0.370 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of 1.0 in y 0.380 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of 1.0 in y 0.383 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of 1.0 in y 0.394 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.394 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.394 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.394 * [taylor]: Taking taylor expansion of x in y 0.394 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of 1.0 in y 0.394 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.396 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of 1.0 in y 0.397 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [taylor]: Taking taylor expansion of 0 in y 0.403 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.403 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of 1.0 in y 0.403 * [taylor]: Taking taylor expansion of x in y 0.404 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of 1.0 in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.409 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.416 * [taylor]: Taking taylor expansion of 0 in y 0.420 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.421 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.421 * [taylor]: Taking taylor expansion of -1 in y 0.421 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of 1.0 in y 0.421 * [taylor]: Taking taylor expansion of x in y 0.422 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.422 * [taylor]: Taking taylor expansion of -1 in x 0.422 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.422 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of 1.0 in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.422 * [taylor]: Taking taylor expansion of -1 in x 0.422 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.422 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of 1.0 in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.423 * [taylor]: Taking taylor expansion of -1 in y 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of 1.0 in y 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.446 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.446 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.447 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.447 * [taylor]: Taking taylor expansion of x in y 0.447 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.447 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.447 * [taylor]: Taking taylor expansion of 1.0 in y 0.448 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.448 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.448 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.448 * [taylor]: Taking taylor expansion of y in x 0.448 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.449 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [taylor]: Taking taylor expansion of 0 in y 0.450 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.450 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of 1.0 in y 0.452 * [taylor]: Taking taylor expansion of 0 in y 0.454 * [taylor]: Taking taylor expansion of 0 in y 0.455 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.455 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.455 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.455 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of 1.0 in y 0.457 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.457 * [taylor]: Taking taylor expansion of x in y 0.457 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.457 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.457 * [taylor]: Taking taylor expansion of y in x 0.457 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 0.463 * [taylor]: Taking taylor expansion of 0 in y 0.465 * [taylor]: Taking taylor expansion of 0 in y 0.470 * [taylor]: Taking taylor expansion of 0 in y 0.475 * [taylor]: Taking taylor expansion of 0 in y 0.475 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.476 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.476 * [taylor]: Taking taylor expansion of -1 in y 0.476 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.476 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.476 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of 1.0 in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.478 * [taylor]: Taking taylor expansion of -1 in x 0.478 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.478 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.478 * [taylor]: Taking taylor expansion of y in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.479 * [taylor]: Taking taylor expansion of -1 in x 0.479 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.479 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.479 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.479 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of 1.0 in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.481 * [taylor]: Taking taylor expansion of -1 in y 0.481 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.481 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of 1.0 in y 0.484 * [taylor]: Taking taylor expansion of 0 in y 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.506 * * * [progress]: simplifying candidates 0.508 * [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))) 0.508 * [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))) 0.513 * * [simplify]: iteration 0 : 318 enodes (cost 722 ) 0.520 * * [simplify]: iteration 1 : 1367 enodes (cost 620 ) 0.544 * * [simplify]: iteration 2 : 5002 enodes (cost 595 ) 0.548 * [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))) 0.548 * * * [progress]: adding candidates to table 0.809 * * [progress]: iteration 3 / 4 0.809 * * * [progress]: picking best candidate 0.815 * * * * [pick]: Picked # 0.815 * * * [progress]: localizing error 0.824 * * * [progress]: generating rewritten candidates 0.824 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.830 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.835 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 0.840 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.897 * * * [progress]: generating series expansions 0.897 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.899 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.899 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.899 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.899 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of 1.0 in y 0.900 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.900 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.900 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.900 * [taylor]: Taking taylor expansion of y in y 0.900 * [taylor]: Taking taylor expansion of 1.0 in y 0.912 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.912 * [taylor]: Taking taylor expansion of y in y 0.913 * [taylor]: Taking taylor expansion of 1.0 in y 0.914 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.914 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.914 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.914 * [taylor]: Taking taylor expansion of y in y 0.915 * [taylor]: Taking taylor expansion of 1.0 in y 0.924 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.924 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.924 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.925 * [taylor]: Taking taylor expansion of 1.0 in y 0.927 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.927 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.927 * [taylor]: Taking taylor expansion of y in y 0.927 * [taylor]: Taking taylor expansion of 1.0 in y 0.936 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.937 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.937 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.937 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.937 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.937 * [taylor]: Taking taylor expansion of y in y 0.937 * [taylor]: Taking taylor expansion of 1.0 in y 0.938 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.938 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.938 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.938 * [taylor]: Taking taylor expansion of y in y 0.938 * [taylor]: Taking taylor expansion of 1.0 in y 0.954 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.954 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.954 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.954 * [taylor]: Taking taylor expansion of y in y 0.954 * [taylor]: Taking taylor expansion of 1.0 in y 0.956 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.956 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.956 * [taylor]: Taking taylor expansion of y in y 0.957 * [taylor]: Taking taylor expansion of 1.0 in y 0.966 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.966 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.966 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.966 * [taylor]: Taking taylor expansion of y in y 0.967 * [taylor]: Taking taylor expansion of 1.0 in y 0.968 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.968 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.968 * [taylor]: Taking taylor expansion of y in y 0.969 * [taylor]: Taking taylor expansion of 1.0 in y 0.978 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 0.978 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.978 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.978 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.978 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.979 * [taylor]: Taking taylor expansion of y in y 0.979 * [taylor]: Taking taylor expansion of 1.0 in y 0.980 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.980 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.980 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.980 * [taylor]: Taking taylor expansion of y in y 0.980 * [taylor]: Taking taylor expansion of 1.0 in y 0.991 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.991 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.991 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.991 * [taylor]: Taking taylor expansion of y in y 0.992 * [taylor]: Taking taylor expansion of 1.0 in y 0.993 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.993 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.993 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.994 * [taylor]: Taking taylor expansion of y in y 0.994 * [taylor]: Taking taylor expansion of 1.0 in y 1.004 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.004 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.004 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.004 * [taylor]: Taking taylor expansion of y in y 1.004 * [taylor]: Taking taylor expansion of 1.0 in y 1.006 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.006 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.006 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.006 * [taylor]: Taking taylor expansion of y in y 1.006 * [taylor]: Taking taylor expansion of 1.0 in y 1.016 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.016 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 1.016 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 1.016 * [taylor]: Taking taylor expansion of x in y 1.016 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.016 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.016 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.016 * [taylor]: Taking taylor expansion of y in y 1.016 * [taylor]: Taking taylor expansion of 1.0 in y 1.017 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 1.017 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.017 * [taylor]: Taking taylor expansion of y in x 1.017 * [taylor]: Taking taylor expansion of 1.0 in x 1.018 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.018 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 1.018 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.018 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.018 * [taylor]: Taking taylor expansion of y in x 1.018 * [taylor]: Taking taylor expansion of 1.0 in x 1.018 * [taylor]: Taking taylor expansion of 0 in y 1.019 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.019 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.019 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.019 * [taylor]: Taking taylor expansion of y in y 1.019 * [taylor]: Taking taylor expansion of 1.0 in y 1.022 * [taylor]: Taking taylor expansion of 0 in y 1.023 * [taylor]: Taking taylor expansion of 0 in y 1.024 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 1.024 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 1.024 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.024 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.024 * [taylor]: Taking taylor expansion of y in y 1.025 * [taylor]: Taking taylor expansion of 1.0 in y 1.031 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.031 * [taylor]: Taking taylor expansion of x in y 1.031 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 1.032 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.032 * [taylor]: Taking taylor expansion of y in x 1.032 * [taylor]: Taking taylor expansion of 1.0 in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 1.033 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.033 * [taylor]: Taking taylor expansion of y in x 1.033 * [taylor]: Taking taylor expansion of 1.0 in x 1.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.034 * [taylor]: Taking taylor expansion of y in y 1.034 * [taylor]: Taking taylor expansion of 1.0 in y 1.037 * [taylor]: Taking taylor expansion of 0 in y 1.039 * [taylor]: Taking taylor expansion of 0 in y 1.044 * [taylor]: Taking taylor expansion of 0 in y 1.049 * [taylor]: Taking taylor expansion of 0 in y 1.049 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 1.049 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 1.049 * [taylor]: Taking taylor expansion of -1 in y 1.049 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 1.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.049 * [taylor]: Taking taylor expansion of y in y 1.050 * [taylor]: Taking taylor expansion of 1.0 in y 1.051 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.051 * [taylor]: Taking taylor expansion of x in y 1.051 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 1.051 * [taylor]: Taking taylor expansion of -1 in x 1.051 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 1.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.052 * [taylor]: Taking taylor expansion of y in x 1.052 * [taylor]: Taking taylor expansion of 1.0 in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 1.053 * [taylor]: Taking taylor expansion of -1 in x 1.053 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 1.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.053 * [taylor]: Taking taylor expansion of y in x 1.053 * [taylor]: Taking taylor expansion of 1.0 in x 1.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 1.054 * [taylor]: Taking taylor expansion of -1 in y 1.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.054 * [taylor]: Taking taylor expansion of y in y 1.055 * [taylor]: Taking taylor expansion of 1.0 in y 1.057 * [taylor]: Taking taylor expansion of 0 in y 1.060 * [taylor]: Taking taylor expansion of 0 in y 1.067 * [taylor]: Taking taylor expansion of 0 in y 1.073 * [taylor]: Taking taylor expansion of 0 in y 1.074 * * * [progress]: simplifying candidates 1.075 * [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 (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))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (log1p (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (+ (+ (log x) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (+ (log (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (exp (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* x x) x) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (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 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (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)))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (sqrt (- 1.0 (* y y)))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (sqrt (- 1.0 (* y y)))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt 1))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt 1)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) 1) (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (+ 1.0 (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (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)))) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 1.076 * [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 (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 (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (log1p (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1))))) (+ (+ (log h2) (log (sqrt (sqrt (+ h0 (* h1 h1)))))) (log (sqrt (sqrt (+ h0 (* h1 h1)))))) (+ (log (* h2 (sqrt (sqrt (+ h0 (* h1 h1)))))) (log (sqrt (sqrt (+ h0 (* h1 h1)))))) (log (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (exp (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (* (* h2 h2) h2) (* (* (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (* h2 (sqrt (sqrt (+ h0 (* h1 h1)))))) (* h2 (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (cbrt (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (cbrt (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1))))))) (cbrt (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (sqrt (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (sqrt (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (* (sqrt (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1)))))) (sqrt (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))))) (* (* h2 (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (* (sqrt (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1)))))) (sqrt (sqrt (- h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (* (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))))) (* (* h2 (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (* (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt (sqrt (- h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (* (cbrt (sqrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (sqrt (+ h0 (* h1 h1))))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt 1))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt 1)) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) 1) (* (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 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)))) (- (+ (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)) (+ (* h3 (/ h2 h1)) (* h2 h1)) (- (+ (* h3 (/ h2 h1)) (* h2 h1))) 1.081 * * [simplify]: iteration 0 : 307 enodes (cost 781 ) 1.087 * * [simplify]: iteration 1 : 1108 enodes (cost 687 ) 1.109 * * [simplify]: iteration 2 : 4896 enodes (cost 660 ) 1.195 * * [simplify]: iteration 3 : 5001 enodes (cost 660 ) 1.198 * [simplify]: Simplified to: (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (hypot (sqrt 1.0) y)) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (hypot (sqrt 1.0) y) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (hypot (sqrt 1.0) y) (hypot (pow y 3) (pow 1.0 3/2)) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (hypot (sqrt 1.0) y)) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (hypot (sqrt 1.0) y) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (hypot (sqrt 1.0) y) (hypot (pow y 3) (pow 1.0 3/2)) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (hypot (sqrt 1.0) y)) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (hypot (sqrt 1.0) y) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (hypot (sqrt 1.0) y) (hypot (pow y 3) (pow 1.0 3/2)) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (expm1 (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (log1p (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (hypot (sqrt 1.0) y) x) (* (hypot (sqrt 1.0) y) x) (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (pow (exp (hypot (sqrt 1.0) y)) x) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (* (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (hypot (pow y 3) (pow 1.0 3/2)) x) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) x) (sqrt (- 1.0 (* y y))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))))) (* x (* (sqrt (sqrt (+ 1.0 (* y y)))) (fabs (cbrt (sqrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* x (sqrt (sqrt (+ 1.0 (* y 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) (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)) (fma 0.5 (/ x y) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 1.199 * * * [progress]: adding candidates to table 1.489 * * [progress]: iteration 4 / 4 1.489 * * * [progress]: picking best candidate 1.494 * * * * [pick]: Picked # 1.495 * * * [progress]: localizing error 1.508 * * * [progress]: generating rewritten candidates 1.508 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.513 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2 1) 1.519 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 1) 1.524 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.530 * * * [progress]: generating series expansions 1.530 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.530 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.530 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.530 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.530 * [taylor]: Taking taylor expansion of y in y 1.530 * [taylor]: Taking taylor expansion of 1.0 in y 1.531 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.531 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.531 * [taylor]: Taking taylor expansion of y in y 1.531 * [taylor]: Taking taylor expansion of 1.0 in y 1.544 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.544 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.544 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.544 * [taylor]: Taking taylor expansion of y in y 1.544 * [taylor]: Taking taylor expansion of 1.0 in y 1.546 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.546 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.546 * [taylor]: Taking taylor expansion of y in y 1.546 * [taylor]: Taking taylor expansion of 1.0 in y 1.561 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.561 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.561 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.561 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.561 * [taylor]: Taking taylor expansion of y in y 1.562 * [taylor]: Taking taylor expansion of 1.0 in y 1.563 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.563 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.563 * [taylor]: Taking taylor expansion of y in y 1.564 * [taylor]: Taking taylor expansion of 1.0 in y 1.573 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2 1) 1.574 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.574 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.574 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.574 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.574 * [taylor]: Taking taylor expansion of y in y 1.574 * [taylor]: Taking taylor expansion of 1.0 in y 1.575 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.575 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.575 * [taylor]: Taking taylor expansion of y in y 1.575 * [taylor]: Taking taylor expansion of 1.0 in y 1.588 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.588 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.588 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.588 * [taylor]: Taking taylor expansion of y in y 1.588 * [taylor]: Taking taylor expansion of 1.0 in y 1.590 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.590 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.590 * [taylor]: Taking taylor expansion of y in y 1.591 * [taylor]: Taking taylor expansion of 1.0 in y 1.601 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.601 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.601 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.601 * [taylor]: Taking taylor expansion of y in y 1.601 * [taylor]: Taking taylor expansion of 1.0 in y 1.603 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.603 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.603 * [taylor]: Taking taylor expansion of y in y 1.603 * [taylor]: Taking taylor expansion of 1.0 in y 1.613 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 1) 1.613 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.613 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.613 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.613 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.613 * [taylor]: Taking taylor expansion of y in y 1.613 * [taylor]: Taking taylor expansion of 1.0 in y 1.614 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.614 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.614 * [taylor]: Taking taylor expansion of y in y 1.614 * [taylor]: Taking taylor expansion of 1.0 in y 1.626 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.626 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.626 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.626 * [taylor]: Taking taylor expansion of y in y 1.627 * [taylor]: Taking taylor expansion of 1.0 in y 1.628 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.629 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.629 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.629 * [taylor]: Taking taylor expansion of y in y 1.629 * [taylor]: Taking taylor expansion of 1.0 in y 1.639 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.639 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.639 * [taylor]: Taking taylor expansion of y in y 1.640 * [taylor]: Taking taylor expansion of 1.0 in y 1.641 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.641 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.641 * [taylor]: Taking taylor expansion of y in y 1.648 * [taylor]: Taking taylor expansion of 1.0 in y 1.658 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.658 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/6) in (y) around 0 1.658 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/6) in y 1.658 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow y 2) 1.0)))) in y 1.658 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow y 2) 1.0))) in y 1.658 * [taylor]: Taking taylor expansion of 1/6 in y 1.658 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.658 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.658 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.658 * [taylor]: Taking taylor expansion of y in y 1.658 * [taylor]: Taking taylor expansion of 1.0 in y 1.660 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/6) in y 1.660 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow y 2) 1.0)))) in y 1.660 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow y 2) 1.0))) in y 1.660 * [taylor]: Taking taylor expansion of 1/6 in y 1.660 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.660 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.660 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.660 * [taylor]: Taking taylor expansion of y in y 1.660 * [taylor]: Taking taylor expansion of 1.0 in y 1.718 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in (y) around 0 1.718 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in y 1.718 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.718 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.718 * [taylor]: Taking taylor expansion of 1/6 in y 1.718 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.718 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.718 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.718 * [taylor]: Taking taylor expansion of y in y 1.719 * [taylor]: Taking taylor expansion of 1.0 in y 1.720 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in y 1.720 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.720 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.720 * [taylor]: Taking taylor expansion of 1/6 in y 1.720 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.720 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.720 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.720 * [taylor]: Taking taylor expansion of y in y 1.720 * [taylor]: Taking taylor expansion of 1.0 in y 1.769 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in (y) around 0 1.770 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in y 1.770 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.770 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.770 * [taylor]: Taking taylor expansion of 1/6 in y 1.770 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.770 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.770 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.770 * [taylor]: Taking taylor expansion of y in y 1.770 * [taylor]: Taking taylor expansion of 1.0 in y 1.771 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in y 1.771 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.771 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.771 * [taylor]: Taking taylor expansion of 1/6 in y 1.771 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.771 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.771 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.771 * [taylor]: Taking taylor expansion of y in y 1.771 * [taylor]: Taking taylor expansion of 1.0 in y 1.821 * * * [progress]: simplifying candidates 1.822 * [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 (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 (cbrt (sqrt (+ 1.0 (* y y))))) (log1p (cbrt (sqrt (+ 1.0 (* y y))))) (log (cbrt (sqrt (+ 1.0 (* y y))))) (exp (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (cbrt (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (cbrt (sqrt (cbrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt 1)) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt 1) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (cbrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (cbrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (cbrt (sqrt (- 1.0 (* y y)))) (* (cbrt (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (cbrt (sqrt (+ 1.0 (* y y)))))) (cbrt (cbrt (sqrt (+ 1.0 (* y y))))) (* (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y))))) (sqrt (cbrt (sqrt (+ 1.0 (* y y))))) (sqrt (cbrt (sqrt (+ 1.0 (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (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)))) (- (+ (pow 1.0 1/6) (+ (* 0.16666666666666666 (* (pow y 2) (pow 1.0 1/6))) (* 0.013888888888888888 (* (pow y 4) (pow 1.0 1/6))))) (* 1/12 (* (pow y 4) (pow (/ 1 (pow 1.0 11)) 1/6)))) (- (+ (pow (/ 1 y) -1/3) (* 0.16666666666666666 (pow (/ 1 (pow y 5)) 1/3))) (* 0.06944444444444445 (pow (/ 1 (pow y 11)) 1/3))) (- (+ (* 0.16666666666666666 (pow (/ -1 (pow y 5)) 1/3)) (pow (/ -1 y) -1/3)) (* 0.06944444444444445 (pow (/ -1 (pow y 11)) 1/3))) 1.822 * [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 (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 (cbrt (sqrt (+ h0 (* h1 h1))))) (log1p (cbrt (sqrt (+ h0 (* h1 h1))))) (log (cbrt (sqrt (+ h0 (* h1 h1))))) (exp (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1)))))) (cbrt (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1)))))) (cbrt (sqrt (cbrt (+ h0 (* h1 h1))))) (cbrt (sqrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt 1)) (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (sqrt (+ h0 (* h1 h1))))) (cbrt 1) (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (cbrt (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1)))))) (cbrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (cbrt (sqrt (- h0 (* h1 h1)))) (* (cbrt (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (cbrt (sqrt (+ h0 (* h1 h1)))))) (cbrt (cbrt (sqrt (+ h0 (* h1 h1))))) (* (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1))))) (sqrt (cbrt (sqrt (+ h0 (* h1 h1))))) (sqrt (cbrt (sqrt (+ h0 (* h1 h1))))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h2 (/ 1 h1))) (* h3 (/ 1 (pow h1 3)))) (- (* h3 (/ 1 (pow h1 3))) (+ h1 (* h2 (/ 1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h2 (/ 1 h1))) (* h3 (/ 1 (pow h1 3)))) (- (* h3 (/ 1 (pow h1 3))) (+ h1 (* h2 (/ 1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h2 (/ 1 h1))) (* h3 (/ 1 (pow h1 3)))) (- (* h3 (/ 1 (pow h1 3))) (+ h1 (* h2 (/ 1 h1)))) (- (+ (pow h0 1/6) (+ (* h4 (* (pow h1 2) (pow h0 1/6))) (* h5 (* (pow h1 4) (pow h0 1/6))))) (* 1/12 (* (pow h1 4) (pow (/ 1 (pow h0 11)) 1/6)))) (- (+ (pow (/ 1 h1) -1/3) (* h4 (pow (/ 1 (pow h1 5)) 1/3))) (* h6 (pow (/ 1 (pow h1 11)) 1/3))) (- (+ (* h4 (pow (/ -1 (pow h1 5)) 1/3)) (pow (/ -1 h1) -1/3)) (* h6 (pow (/ -1 (pow h1 11)) 1/3))) 1.827 * * [simplify]: iteration 0 : 271 enodes (cost 524 ) 1.833 * * [simplify]: iteration 1 : 927 enodes (cost 498 ) 1.852 * * [simplify]: iteration 2 : 4108 enodes (cost 481 ) 1.945 * * [simplify]: iteration 3 : 5001 enodes (cost 476 ) 1.948 * [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)))) (sqrt 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)))) (sqrt 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)))) (sqrt 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 (cbrt (sqrt (+ 1.0 (* y y))))) (log1p (cbrt (sqrt (+ 1.0 (* y y))))) (log (cbrt (sqrt (+ 1.0 (* y y))))) (exp (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (cbrt (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (cbrt (sqrt (cbrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt 1)) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt 1) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (cbrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (cbrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (cbrt (sqrt (- 1.0 (* y y)))) (* (cbrt (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (cbrt (sqrt (+ 1.0 (* y y)))))) (cbrt (cbrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y) (sqrt (cbrt (sqrt (+ 1.0 (* y y))))) (sqrt (cbrt (sqrt (+ 1.0 (* y y))))) (fma 1/2 (/ (pow y 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3))))) (fma (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))) 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))))) (fma (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))) 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))))) (fma (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))) y) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (fma (pow 1.0 1/6) (fma (* 0.16666666666666666 y) y 1) (* (pow y 4) (- (* (pow 1.0 1/6) 0.013888888888888888) (* (pow (/ 1 (pow 1.0 11)) 1/6) 1/12)))) (fma (pow (/ 1 (pow y 5)) 1/3) 0.16666666666666666 (- (pow (/ 1 y) -1/3) (* 0.06944444444444445 (pow (/ 1 (pow y 11)) 1/3)))) (fma (pow (/ -1 (pow y 5)) 1/3) 0.16666666666666666 (- (pow (/ -1 y) -1/3) (* 0.06944444444444445 (pow (/ -1 (pow y 11)) 1/3)))) 1.948 * * * [progress]: adding candidates to table 2.293 * [progress]: [Phase 3 of 3] Extracting. 2.293 * * [regime]: Finding splitpoints for: (# # # # #) 2.294 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 2.294 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 2.310 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # #) 2.325 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# # # # #) 2.345 * * * * [regimes]: Trying to branch on y from (# # # # #) 2.362 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.382 * * * [regime]: Found split indices: #