13.611 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (sqrt (- 1.0 (* x x))) 0.019 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.021 * * [simplify]: iteration 2 : 13 enodes (cost 3 ) 0.022 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.022 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.031 * * * [progress]: generating series expansions 0.031 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.031 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.031 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.031 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.031 * [taylor]: Taking taylor expansion of 1.0 in x 0.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.033 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.033 * [taylor]: Taking taylor expansion of 1.0 in x 0.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.049 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.049 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.049 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.052 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.052 * [taylor]: Taking taylor expansion of 1.0 in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.070 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.070 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.070 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.073 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.090 * * * [progress]: simplifying candidates 0.090 * [simplify]: Simplifying using # : (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.094 * * [simplify]: iteration 0 : 165 enodes (cost 131 ) 0.097 * * [simplify]: iteration 1 : 568 enodes (cost 128 ) 0.108 * * [simplify]: iteration 2 : 2782 enodes (cost 126 ) 0.170 * * [simplify]: iteration 3 : 5001 enodes (cost 123 ) 0.171 * [simplify]: Simplified to: (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (pow (sqrt (- 1.0 (* x x))) 3) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot x (sqrt 1.0)) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (fma (- (/ 0.125 (pow x 3))) (/ -1 (sqrt -1)) (fma (sqrt -1) x (/ (/ 0.5 (sqrt -1)) x))) (fma (/ 0.125 (* (sqrt -1) (pow x 3))) -1 (- (fma 0.5 (/ 1 (* x (sqrt -1))) (* x (sqrt -1))))) 0.171 * * * [progress]: adding candidates to table 0.215 * * [progress]: iteration 2 / 4 0.215 * * * [progress]: picking best candidate 0.219 * * * * [pick]: Picked # 0.219 * * * [progress]: localizing error 0.226 * * * [progress]: generating rewritten candidates 0.226 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.239 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.246 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.254 * * * [progress]: generating series expansions 0.255 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.255 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in (x) around 0 0.255 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in x 0.255 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in x 0.255 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.256 * [taylor]: Taking taylor expansion of 1.0 in x 0.256 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 0.256 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.256 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in x 0.263 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in x 0.263 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.263 * [taylor]: Taking taylor expansion of 1.0 in x 0.263 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 0.263 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.263 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.288 * [approximate]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.288 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.288 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 0.288 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.288 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.288 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.289 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.289 * [taylor]: Taking taylor expansion of 1.0 in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.295 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 0.295 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.295 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.295 * [taylor]: Taking taylor expansion of 1.0 in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.296 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.296 * [taylor]: Taking taylor expansion of 1.0 in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.359 * [approximate]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.359 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.359 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 0.359 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.359 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.359 * [taylor]: Taking taylor expansion of 1.0 in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.360 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.360 * [taylor]: Taking taylor expansion of 1.0 in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.366 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 0.366 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.366 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.366 * [taylor]: Taking taylor expansion of 1.0 in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.367 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.367 * [taylor]: Taking taylor expansion of 1.0 in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.403 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.403 * [approximate]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in (x) around 0 0.403 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 0.403 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.403 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 0.406 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.407 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 0.427 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 0.427 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.427 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 0.429 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.429 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.429 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.445 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in (x) around 0 0.445 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.445 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.445 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.447 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.463 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.463 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) x)) in (x) around 0 0.463 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) x)) in x 0.463 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 0.463 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) x)) in x 0.467 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 0.467 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.467 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.485 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in (x) around 0 0.485 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.485 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.485 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.487 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.487 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.506 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 0.506 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 0.506 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.506 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 0.509 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.509 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.509 * [taylor]: Taking taylor expansion of 1.0 in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.524 * * * [progress]: simplifying candidates 0.526 * [simplify]: Simplifying using # : (expm1 (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (log1p (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)) (+ (log (sqrt (+ (sqrt 1.0) x))) (log (sqrt (- (sqrt 1.0) x)))) (log (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (exp (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (* (* (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x))) (sqrt (+ (sqrt 1.0) x))) (* (* (sqrt (- (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (sqrt (- (sqrt 1.0) x)))) (* (cbrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (cbrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))))) (cbrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (* (* (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)) (sqrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (sqrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (* (sqrt (+ (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (- (pow (sqrt 1.0) 3) (pow x 3)))) (* (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x)))) (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* x x) (* (sqrt 1.0) x))))) (* (sqrt (+ (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x)))) (* (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x)))) (sqrt (+ (sqrt 1.0) x))) (* (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (- (pow (sqrt 1.0) 3) (pow x 3)))) (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* x x) (* (sqrt 1.0) x))))) (* (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x)))) (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (+ (sqrt 1.0) x)) (* (cbrt (sqrt (- (sqrt 1.0) x))) (cbrt (sqrt (- (sqrt 1.0) x))))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (* (cbrt (- (sqrt 1.0) x)) (cbrt (- (sqrt 1.0) x))))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt 1)) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt 1)) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (+ (sqrt 1.0) x)) 1) (* (cbrt (sqrt (+ (sqrt 1.0) x))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (cbrt (+ (sqrt 1.0) x))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (pow (sqrt 1.0) 3) (pow x 3)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x)))) (* (sqrt (+ (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (- (sqrt 1.0) x))) (expm1 (sqrt (+ (sqrt 1.0) x))) (log1p (sqrt (+ (sqrt 1.0) x))) (log (sqrt (+ (sqrt 1.0) x))) (exp (sqrt (+ (sqrt 1.0) x))) (* (cbrt (sqrt (+ (sqrt 1.0) x))) (cbrt (sqrt (+ (sqrt 1.0) x)))) (cbrt (sqrt (+ (sqrt 1.0) x))) (* (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x))) (sqrt (+ (sqrt 1.0) x))) (sqrt (* (cbrt (+ (sqrt 1.0) x)) (cbrt (+ (sqrt 1.0) x)))) (sqrt (cbrt (+ (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt 1) (sqrt (+ (sqrt 1.0) x)) (sqrt 1) (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x)))) (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (- (sqrt 1.0) x)) (/ 1 2) (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x))) (expm1 (sqrt (- (sqrt 1.0) x))) (log1p (sqrt (- (sqrt 1.0) x))) (log (sqrt (- (sqrt 1.0) x))) (exp (sqrt (- (sqrt 1.0) x))) (* (cbrt (sqrt (- (sqrt 1.0) x))) (cbrt (sqrt (- (sqrt 1.0) x)))) (cbrt (sqrt (- (sqrt 1.0) x))) (* (* (sqrt (- (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (sqrt (- (sqrt 1.0) x))) (sqrt (* (cbrt (- (sqrt 1.0) x)) (cbrt (- (sqrt 1.0) x)))) (sqrt (cbrt (- (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt 1) (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x))) (sqrt (- (sqrt (sqrt 1.0)) (sqrt x))) (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x))) (sqrt (- (sqrt (sqrt 1.0)) (sqrt x))) (sqrt 1) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* x x) (* (sqrt 1.0) x)))) (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (+ (sqrt 1.0) x)) (/ 1 2) (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 1/2 (/ (pow (sqrt 1.0) 2) (* x (sqrt -1)))) (* x (sqrt -1))) (* 1/8 (/ (pow (sqrt 1.0) 4) (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (pow (sqrt 1.0) 2) (* x (sqrt -1)))) (* x (sqrt -1)))) (- (+ (sqrt (sqrt 1.0)) (* 1/2 (* x (sqrt (/ 1 (sqrt 1.0)))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (sqrt (sqrt 1.0)) (+ (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/2 (* x (sqrt (/ 1 (sqrt 1.0))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) 0.531 * * [simplify]: iteration 0 : 336 enodes (cost 805 ) 0.537 * * [simplify]: iteration 1 : 1175 enodes (cost 768 ) 0.558 * * [simplify]: iteration 2 : 5001 enodes (cost 748 ) 0.561 * [simplify]: Simplified to: (expm1 (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (log1p (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (- 1.0 (pow x 2)) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (- 1.0 (pow x 2)) (log (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (log (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (exp (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (pow (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) 3) (* (cbrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (cbrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))))) (cbrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (pow (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) 3) (- 1.0 (pow x 2)) (sqrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (sqrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (* (sqrt (+ (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (- (pow (sqrt 1.0) 3) (pow x 3)))) (* (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x)))) (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* x x) (* (sqrt 1.0) x))))) (* (sqrt (+ (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x)))) (* (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x)))) (sqrt (+ (sqrt 1.0) x))) (* (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (- (pow (sqrt 1.0) 3) (pow x 3)))) (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* x x) (* (sqrt 1.0) x))))) (- 1.0 (pow x 2)) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (+ (sqrt 1.0) x)) (* (cbrt (sqrt (- (sqrt 1.0) x))) (cbrt (sqrt (- (sqrt 1.0) x))))) (* (fabs (cbrt (- (sqrt 1.0) x))) (sqrt (+ (sqrt 1.0) x))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (sqrt (- (sqrt 1.0) x)))) (sqrt (+ (sqrt 1.0) x)) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x)))) (sqrt (+ (sqrt 1.0) x)) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (sqrt (- (sqrt 1.0) x)))) (sqrt (+ (sqrt 1.0) x)) (* (cbrt (sqrt (+ (sqrt 1.0) x))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (cbrt (+ (sqrt 1.0) x))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (pow (sqrt 1.0) 3) (pow x 3)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x)))) (* (sqrt (+ (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (- (sqrt 1.0) x))) (expm1 (sqrt (+ (sqrt 1.0) x))) (log1p (sqrt (+ (sqrt 1.0) x))) (log (sqrt (+ (sqrt 1.0) x))) (exp (sqrt (+ (sqrt 1.0) x))) (* (cbrt (sqrt (+ (sqrt 1.0) x))) (cbrt (sqrt (+ (sqrt 1.0) x)))) (cbrt (sqrt (+ (sqrt 1.0) x))) (pow (sqrt (+ (sqrt 1.0) x)) 3) (fabs (cbrt (+ (sqrt 1.0) x))) (sqrt (cbrt (+ (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x))) 1 (sqrt (+ (sqrt 1.0) x)) 1 (sqrt (+ (sqrt 1.0) x)) (hypot (pow x 3/2) (pow (sqrt 1.0) 3/2)) (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x)))) (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (- (sqrt 1.0) x)) 1/2 (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x))) (expm1 (sqrt (- (sqrt 1.0) x))) (log1p (sqrt (- (sqrt 1.0) x))) (log (sqrt (- (sqrt 1.0) x))) (exp (sqrt (- (sqrt 1.0) x))) (* (cbrt (sqrt (- (sqrt 1.0) x))) (cbrt (sqrt (- (sqrt 1.0) x)))) (cbrt (sqrt (- (sqrt 1.0) x))) (pow (sqrt (- (sqrt 1.0) x)) 3) (fabs (cbrt (- (sqrt 1.0) x))) (sqrt (cbrt (- (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x))) 1 (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x))) (sqrt (- (sqrt (sqrt 1.0)) (sqrt x))) (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x))) (sqrt (- (sqrt (sqrt 1.0)) (sqrt x))) 1 (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* x x) (* (sqrt 1.0) x)))) (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (+ (sqrt 1.0) x)) 1/2 (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x))) (- (sqrt 1.0) (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (fma (- 1/8) (* (/ 1.0 (pow (sqrt -1) 3)) (/ 1.0 (pow x 3))) (fma (/ (/ 1.0 x) (sqrt -1)) 1/2 (* x (sqrt -1)))) (- (* -1/8 (/ (* 1.0 1.0) (* (sqrt -1) (pow x 3)))) (- (/ (* 1/2 1.0) (* x (sqrt -1))) (- (* x (sqrt -1))))) (fma (* 1/2 x) (sqrt (/ 1 (sqrt 1.0))) (- (sqrt (sqrt 1.0)) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))))) (fma (- +nan.0) (/ (sqrt 1.0) x) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))))) (fma (- +nan.0) (/ (sqrt 1.0) x) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))))) (- (sqrt (sqrt 1.0)) (+ (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/2 (* x (sqrt (/ 1 (sqrt 1.0))))))) (fma (- +nan.0) (/ (sqrt 1.0) x) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))))) (fma (- +nan.0) (/ (sqrt 1.0) x) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))))) 0.562 * * * [progress]: adding candidates to table 0.773 * * [progress]: iteration 3 / 4 0.773 * * * [progress]: picking best candidate 0.776 * * * * [pick]: Picked # 0.776 * * * [progress]: localizing error 0.791 * * * [progress]: generating rewritten candidates 0.791 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.806 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.825 * * * [progress]: generating series expansions 0.825 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.826 * [approximate]: Taking taylor expansion of (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) in (x) around 0 0.826 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) in x 0.826 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) in x 0.826 * [taylor]: Taking taylor expansion of 1/8 in x 0.826 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow (sqrt 1.0) 3)) in x 0.826 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.827 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.827 * [taylor]: Taking taylor expansion of 1.0 in x 0.830 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 0.831 * [taylor]: Taking taylor expansion of 1/2 in x 0.831 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 0.831 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.831 * [taylor]: Taking taylor expansion of 1.0 in x 0.832 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) in x 0.832 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) in x 0.832 * [taylor]: Taking taylor expansion of 1/8 in x 0.832 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow (sqrt 1.0) 3)) in x 0.832 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.832 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.832 * [taylor]: Taking taylor expansion of 1.0 in x 0.836 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 0.836 * [taylor]: Taking taylor expansion of 1/2 in x 0.836 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 0.836 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.836 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.836 * [taylor]: Taking taylor expansion of 1.0 in x 0.904 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in (x) around 0 0.904 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in x 0.904 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) in x 0.904 * [taylor]: Taking taylor expansion of 1/2 in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (sqrt 1.0))) in x 0.905 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.905 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.905 * [taylor]: Taking taylor expansion of 1.0 in x 0.907 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 0.907 * [taylor]: Taking taylor expansion of 1/8 in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 0.907 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 0.907 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.907 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.907 * [taylor]: Taking taylor expansion of 1.0 in x 0.912 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in x 0.912 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) in x 0.912 * [taylor]: Taking taylor expansion of 1/2 in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (sqrt 1.0))) in x 0.912 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.912 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.912 * [taylor]: Taking taylor expansion of 1.0 in x 0.914 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 0.914 * [taylor]: Taking taylor expansion of 1/8 in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 0.914 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 0.914 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.914 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.914 * [taylor]: Taking taylor expansion of 1.0 in x 1.002 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in (x) around 0 1.002 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in x 1.002 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) in x 1.002 * [taylor]: Taking taylor expansion of 1/2 in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (sqrt 1.0))) in x 1.002 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.002 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.002 * [taylor]: Taking taylor expansion of 1.0 in x 1.004 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 1.004 * [taylor]: Taking taylor expansion of 1/8 in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 1.004 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 1.004 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.004 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.004 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.004 * [taylor]: Taking taylor expansion of 1.0 in x 1.009 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in x 1.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) in x 1.009 * [taylor]: Taking taylor expansion of 1/2 in x 1.009 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (sqrt 1.0))) in x 1.009 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.009 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.009 * [taylor]: Taking taylor expansion of 1.0 in x 1.014 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 1.014 * [taylor]: Taking taylor expansion of 1/8 in x 1.014 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 1.014 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 1.014 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.014 * [taylor]: Taking taylor expansion of x in x 1.014 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.014 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.014 * [taylor]: Taking taylor expansion of 1.0 in x 1.101 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 1.102 * [approximate]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in (x) around 0 1.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 1.102 * [taylor]: Taking taylor expansion of 1/2 in x 1.102 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 1.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.102 * [taylor]: Taking taylor expansion of 1.0 in x 1.103 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 1.103 * [taylor]: Taking taylor expansion of 1/2 in x 1.103 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 1.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.103 * [taylor]: Taking taylor expansion of 1.0 in x 1.122 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in (x) around 0 1.122 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 1.122 * [taylor]: Taking taylor expansion of 1/2 in x 1.122 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.122 * [taylor]: Taking taylor expansion of 1.0 in x 1.124 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 1.124 * [taylor]: Taking taylor expansion of 1/2 in x 1.124 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.124 * [taylor]: Taking taylor expansion of 1.0 in x 1.142 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in (x) around 0 1.143 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 1.143 * [taylor]: Taking taylor expansion of 1/2 in x 1.143 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.143 * [taylor]: Taking taylor expansion of 1.0 in x 1.145 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 1.145 * [taylor]: Taking taylor expansion of 1/2 in x 1.145 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.145 * [taylor]: Taking taylor expansion of 1.0 in x 1.165 * * * [progress]: simplifying candidates 1.167 * [simplify]: Simplifying using # : (expm1 (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (log1p (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (* (exp (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (exp (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (log (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (exp (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (* (cbrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (cbrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))))) (cbrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (* (* (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (sqrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (sqrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (* (* 1/8 (pow x 4)) (sqrt 1.0)) (* (pow (sqrt 1.0) 3) (* 1/2 (pow x 2)))) (* (pow (sqrt 1.0) 3) (sqrt 1.0)) (+ (pow (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) 3) (pow (* 1/2 (/ (pow x 2) (sqrt 1.0))) 3)) (+ (* (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (* (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))))) (- (* (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (* (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (expm1 (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log1p (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (+ (log 1/2) (- (* (log x) 2) (log (sqrt 1.0)))) (+ (log 1/2) (- (* (log x) 2) (log (sqrt 1.0)))) (+ (log 1/2) (- (log (pow x 2)) (log (sqrt 1.0)))) (+ (log 1/2) (log (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (exp (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (* (* 1/2 1/2) 1/2) (/ (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)))) (* (* (* 1/2 1/2) 1/2) (* (* (/ (pow x 2) (sqrt 1.0)) (/ (pow x 2) (sqrt 1.0))) (/ (pow x 2) (sqrt 1.0)))) (* (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (* (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (sqrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (sqrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* 1/2 (* (cbrt (/ (pow x 2) (sqrt 1.0))) (cbrt (/ (pow x 2) (sqrt 1.0))))) (* 1/2 (sqrt (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt 1))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) 1)) (* 1/2 (/ (pow (sqrt x) 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt 1))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (sqrt x) 2) 1)) (* 1/2 (/ (pow 1 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow 1 2) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow 1 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow 1 2) (sqrt 1))) (* 1/2 (/ (pow 1 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow 1 2) 1)) (* 1/2 (/ x (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ x (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ x (sqrt (sqrt 1.0)))) (* 1/2 (/ x (sqrt 1))) (* 1/2 (/ x (sqrt (sqrt 1.0)))) (* 1/2 (/ x 1)) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (sqrt 1.0)))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt 1))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (sqrt 1.0)))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1)) (* 1/2 (/ (sqrt (pow x 2)) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt 1))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (sqrt (pow x 2)) 1)) (* 1/2 (/ 1 (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ 1 (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ 1 (sqrt (sqrt 1.0)))) (* 1/2 (/ 1 (sqrt 1))) (* 1/2 (/ 1 (sqrt (sqrt 1.0)))) (* 1/2 (/ 1 1)) (* 1/2 (/ (pow x (/ 2 2)) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt 1))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow x (/ 2 2)) 1)) (* 1/2 1) (* 1/2 (pow x 2)) (* (cbrt 1/2) (/ (pow x 2) (sqrt 1.0))) (* (sqrt 1/2) (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (pow x 2)) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) 1.174 * * [simplify]: iteration 0 : 476 enodes (cost 745 ) 1.183 * * [simplify]: iteration 1 : 2317 enodes (cost 663 ) 1.225 * * [simplify]: iteration 2 : 5001 enodes (cost 662 ) 1.228 * [simplify]: Simplified to: (expm1 (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (log1p (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (exp (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (log (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (exp (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (* (cbrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (cbrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))))) (cbrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (pow (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) 3) (sqrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (sqrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (fma (* 1/8 (pow x 4)) (sqrt 1.0) (* (pow (sqrt 1.0) 3) (* 1/2 (pow x 2)))) (* 1.0 1.0) (fma 1/8 (pow (/ (pow x 2) (sqrt 1.0)) 3) (pow (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) 3)) (fma 1/64 (* (/ (pow x 4) (pow (sqrt 1.0) 3)) (/ (pow x 4) (pow (sqrt 1.0) 3))) (* (* 1/2 (/ (pow x 2) (sqrt 1.0))) (- (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))))) (fma (* (/ (pow x 4) (pow (sqrt 1.0) 3)) (/ (pow x 4) (pow (sqrt 1.0) 3))) 1/64 (* (- 1/4) (/ (* (pow x 2) (pow x 2)) 1.0))) (- (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (expm1 (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log1p (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (exp (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (pow (* 1/2 (/ (pow x 2) (sqrt 1.0))) 3) (pow (* 1/2 (/ (pow x 2) (sqrt 1.0))) 3) (* (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (pow (* 1/2 (/ (pow x 2) (sqrt 1.0))) 3) (sqrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (sqrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (sqrt 1.0)))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) (fabs x)) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) (fabs x)) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) (fabs x)) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) (fabs x)) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (* 1/2 (* (cbrt (/ (pow x 2) (sqrt 1.0))) (cbrt (/ (pow x 2) (sqrt 1.0))))) (* 1/2 (sqrt (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (/ (* 1/2 (pow (* (cbrt x) (cbrt x)) 2)) (fabs (cbrt 1.0))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (sqrt 1.0)))) (* (pow (* (cbrt x) (cbrt x)) 2) 1/2) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (sqrt 1.0)))) (* (pow (* (cbrt x) (cbrt x)) 2) 1/2) (/ (* 1/2 x) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (/ (* 1/2 x) (fabs (cbrt 1.0))) (/ (* 1/2 x) (sqrt (sqrt 1.0))) (* x 1/2) (/ (* 1/2 x) (sqrt (sqrt 1.0))) (* x 1/2) (/ 1/2 (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (/ 1/2 (fabs (cbrt 1.0))) (/ 1/2 (sqrt (sqrt 1.0))) 1/2 (/ 1/2 (sqrt (sqrt 1.0))) 1/2 (/ (* 1/2 x) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (/ (* 1/2 x) (fabs (cbrt 1.0))) (/ (* 1/2 x) (sqrt (sqrt 1.0))) (* x 1/2) (/ (* 1/2 x) (sqrt (sqrt 1.0))) (* x 1/2) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (/ (* 1/2 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (fabs (cbrt 1.0))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (sqrt 1.0)))) (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1/2) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (sqrt 1.0)))) (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1/2) (* (/ 1/2 (cbrt (sqrt 1.0))) (/ (fabs x) (cbrt (sqrt 1.0)))) (/ (* 1/2 (fabs x)) (fabs (cbrt 1.0))) (/ (* 1/2 (fabs x)) (sqrt (sqrt 1.0))) (/ (fabs x) 2) (/ (* 1/2 (fabs x)) (sqrt (sqrt 1.0))) (/ (fabs x) 2) (/ 1/2 (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (/ 1/2 (fabs (cbrt 1.0))) (/ 1/2 (sqrt (sqrt 1.0))) 1/2 (/ 1/2 (sqrt (sqrt 1.0))) 1/2 (/ (* 1/2 x) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (/ (* 1/2 x) (fabs (cbrt 1.0))) (/ (* 1/2 x) (sqrt (sqrt 1.0))) (* x 1/2) (/ (* 1/2 x) (sqrt (sqrt 1.0))) (* x 1/2) 1/2 (* 1/2 (pow x 2)) (* (cbrt 1/2) (/ (pow x 2) (sqrt 1.0))) (* (sqrt 1/2) (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (pow x 2)) (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) 1.228 * * * [progress]: adding candidates to table 1.467 * [progress]: [Phase 3 of 3] Extracting. 1.467 * * [regime]: Finding splitpoints for: (# #) 1.468 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.468 * * * * [regimes]: Trying to branch on x from (# #) 1.479 * * * [regime]: Found split indices: #