12.757 * [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. 0.016 * [simplify]: Simplifying using # : (sqrt (- 1.0 (* x x))) 0.018 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.019 * * [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))) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [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 0.033 * [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 0.046 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.046 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.046 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.046 * [taylor]: Taking taylor expansion of 1.0 in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 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 0.066 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.067 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.067 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.067 * [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 0.091 * * * [progress]: simplifying candidates 0.091 * [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)))) 0.095 * * [simplify]: iteration 0 : 165 enodes (cost 131 ) 0.099 * * [simplify]: iteration 1 : 568 enodes (cost 128 ) 0.111 * * [simplify]: iteration 2 : 2782 enodes (cost 126 ) 0.174 * * [simplify]: iteration 3 : 5001 enodes (cost 123 ) 0.175 * [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))))) 0.175 * * * [progress]: adding candidates to table 0.223 * * [progress]: iteration 2 / 4 0.223 * * * [progress]: picking best candidate 0.225 * * * * [pick]: Picked # 0.226 * * * [progress]: localizing error 0.238 * * * [progress]: generating rewritten candidates 0.238 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.253 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.290 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.322 * * * [progress]: generating series expansions 0.322 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.324 * [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 0.324 * [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 0.324 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) in x 0.324 * [taylor]: Taking taylor expansion of 1/8 in x 0.324 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow (sqrt 1.0) 3)) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.324 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.324 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 0.328 * [taylor]: Taking taylor expansion of 1/2 in x 0.328 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [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 0.329 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) in x 0.329 * [taylor]: Taking taylor expansion of 1/8 in x 0.329 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow (sqrt 1.0) 3)) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.329 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 0.333 * [taylor]: Taking taylor expansion of 1/2 in x 0.333 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.403 * [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 0.403 * [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 0.403 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) in x 0.403 * [taylor]: Taking taylor expansion of 1/2 in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (sqrt 1.0))) in x 0.403 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.405 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 0.405 * [taylor]: Taking taylor expansion of 1/8 in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 0.405 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 0.405 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.405 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.405 * [taylor]: Taking taylor expansion of 1.0 in x 0.410 * [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 0.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) in x 0.410 * [taylor]: Taking taylor expansion of 1/2 in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (sqrt 1.0))) in x 0.410 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.410 * [taylor]: Taking taylor expansion of 1.0 in x 0.412 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 0.412 * [taylor]: Taking taylor expansion of 1/8 in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 0.412 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 0.412 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.412 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.412 * [taylor]: Taking taylor expansion of 1.0 in x 0.505 * [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 0.505 * [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 0.505 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) in x 0.506 * [taylor]: Taking taylor expansion of 1/2 in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (sqrt 1.0))) in x 0.506 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 0.508 * [taylor]: Taking taylor expansion of 1/8 in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 0.508 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 0.508 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.508 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [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 0.513 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) in x 0.513 * [taylor]: Taking taylor expansion of 1/2 in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (sqrt 1.0))) in x 0.513 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.513 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 0.515 * [taylor]: Taking taylor expansion of 1/8 in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 0.515 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 0.515 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.515 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.515 * [taylor]: Taking taylor expansion of 1.0 in x 0.603 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.604 * [approximate]: Taking taylor expansion of (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) in (x) around 0 0.604 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) in x 0.604 * [taylor]: Taking taylor expansion of 1/8 in x 0.604 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow (sqrt 1.0) 3)) in x 0.604 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.604 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.604 * [taylor]: Taking taylor expansion of 1.0 in x 0.608 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) in x 0.608 * [taylor]: Taking taylor expansion of 1/8 in x 0.608 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow (sqrt 1.0) 3)) in x 0.608 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.608 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.608 * [taylor]: Taking taylor expansion of 1.0 in x 0.645 * [approximate]: Taking taylor expansion of (/ 1/8 (* (pow x 4) (pow (sqrt 1.0) 3))) in (x) around 0 0.645 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 0.645 * [taylor]: Taking taylor expansion of 1/8 in x 0.645 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 0.646 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.646 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.646 * [taylor]: Taking taylor expansion of 1.0 in x 0.654 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 0.654 * [taylor]: Taking taylor expansion of 1/8 in x 0.654 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 0.654 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.654 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.654 * [taylor]: Taking taylor expansion of 1.0 in x 0.691 * [approximate]: Taking taylor expansion of (/ 1/8 (* (pow x 4) (pow (sqrt 1.0) 3))) in (x) around 0 0.691 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 0.691 * [taylor]: Taking taylor expansion of 1/8 in x 0.691 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 0.691 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.691 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.691 * [taylor]: Taking taylor expansion of 1.0 in x 0.696 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 0.696 * [taylor]: Taking taylor expansion of 1/8 in x 0.696 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 0.696 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.696 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.696 * [taylor]: Taking taylor expansion of 1.0 in x 0.734 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.734 * [approximate]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in (x) around 0 0.735 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 0.735 * [taylor]: Taking taylor expansion of 1/2 in x 0.735 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 0.735 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 0.736 * [taylor]: Taking taylor expansion of 1/2 in x 0.736 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 0.736 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.736 * [taylor]: Taking taylor expansion of 1.0 in x 0.756 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in (x) around 0 0.756 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 0.756 * [taylor]: Taking taylor expansion of 1/2 in x 0.756 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.756 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.756 * [taylor]: Taking taylor expansion of 1.0 in x 0.758 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 0.758 * [taylor]: Taking taylor expansion of 1/2 in x 0.758 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.758 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.758 * [taylor]: Taking taylor expansion of 1.0 in x 0.776 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in (x) around 0 0.776 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 0.776 * [taylor]: Taking taylor expansion of 1/2 in x 0.776 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.776 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.777 * [taylor]: Taking taylor expansion of 1.0 in x 0.778 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 0.778 * [taylor]: Taking taylor expansion of 1/2 in x 0.779 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.779 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.779 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.779 * [taylor]: Taking taylor expansion of 1.0 in x 0.797 * * * [progress]: simplifying candidates 0.805 * [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 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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) 1/2) (/ (* 1/2 (fabs x)) (sqrt (sqrt 1.0))) (* (fabs 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 (* 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)))) (* 1/8 (/ (pow x 4) (pow (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))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) 0.850 * * * [progress]: adding candidates to table 1.418 * [progress]: [Phase 3 of 3] Extracting. 1.418 * * [regime]: Finding splitpoints for: (# #) 1.418 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 1.418 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.427 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 1.436 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 1.448 * * * * [regimes]: Trying to branch on x from (# #) 1.459 * * * [regime]: Found split indices: #