0.241 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (sqrt (- 1.0 (* x x))) 0.018 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.019 * * [simplify]: iteration 1 : 7 enodes (cost 6 ) 0.019 * * [simplify]: iteration 2 : 11 enodes (cost 6 ) 0.021 * * [simplify]: iteration 3 : 13 enodes (cost 6 ) 0.022 * * [simplify]: iteration done : 13 enodes (cost 6 ) 0.022 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [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) 0.032 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.032 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.032 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.032 * [taylor]: Taking taylor expansion of 1.0 in x 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.032 * [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 0.048 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.048 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.048 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.048 * [taylor]: Taking taylor expansion of 1.0 in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.051 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.051 * [taylor]: Taking taylor expansion of 1.0 in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.073 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 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 0.076 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.076 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.094 * * * [progress]: simplifying candidates 0.094 * [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)))) 0.096 * * [simplify]: iteration 0 : 69 enodes (cost 260 ) 0.107 * * [simplify]: iteration 1 : 163 enodes (cost 232 ) 0.140 * * [simplify]: iteration 2 : 506 enodes (cost 214 )