5.876 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.064 * * * [progress]: [2/2] Setting up program. 0.067 * [progress]: [Phase 2 of 3] Improving. 0.067 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.069 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.071 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.072 * * [simplify]: iteration 2 : 18 enodes (cost 7 ) 0.073 * * [simplify]: iteration 3 : 18 enodes (cost 7 ) 0.073 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.074 * * [progress]: iteration 1 / 4 0.074 * * * [progress]: picking best candidate 0.076 * * * * [pick]: Picked # 0.076 * * * [progress]: localizing error 0.084 * * * [progress]: generating rewritten candidates 0.084 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.103 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.106 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.114 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.136 * * * [progress]: generating series expansions 0.136 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.137 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.137 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.137 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.137 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.138 * [taylor]: Taking taylor expansion of 1.0 in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.139 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.139 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.139 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.139 * [taylor]: Taking taylor expansion of 1.0 in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.140 * [taylor]: Taking taylor expansion of 1.0 in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.181 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.181 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.181 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.181 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.181 * [taylor]: Taking taylor expansion of 1.0 in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.189 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.189 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.209 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.209 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.209 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.209 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.209 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.209 * [taylor]: Taking taylor expansion of 1.0 in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.212 * [taylor]: Taking taylor expansion of 1.0 in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.212 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.212 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.213 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.213 * [taylor]: Taking taylor expansion of 1.0 in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.237 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.237 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.237 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.237 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.237 * [taylor]: Taking taylor expansion of 1.0 in x 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.238 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.238 * [taylor]: Taking taylor expansion of 1.0 in x 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.251 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.252 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.252 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.252 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.254 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.254 * [taylor]: Taking taylor expansion of 1.0 in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.276 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.276 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.276 * [taylor]: Taking taylor expansion of 1.0 in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.279 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.296 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.296 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.296 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.296 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.296 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.296 * [taylor]: Taking taylor expansion of 1.0 in x 0.297 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.298 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.298 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.328 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.328 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (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 (/ 1 (pow x 2)))) in x 0.328 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.331 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.331 * [taylor]: Taking taylor expansion of 1.0 in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.370 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.370 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.370 * [taylor]: Taking taylor expansion of -1 in x 0.370 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.370 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.373 * [taylor]: Taking taylor expansion of -1 in x 0.373 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.374 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.419 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.419 * [approximate]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 0.419 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.419 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.419 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.419 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.419 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.419 * [taylor]: Taking taylor expansion of 1.0 in x 0.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.429 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.429 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.429 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.429 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.429 * [taylor]: Taking taylor expansion of 1.0 in x 0.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.431 * [taylor]: Taking taylor expansion of 1.0 in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.544 * [approximate]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.544 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.544 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.544 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.544 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.550 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.550 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.550 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.550 * [taylor]: Taking taylor expansion of 1.0 in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.553 * [taylor]: Taking taylor expansion of 1.0 in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.618 * [approximate]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 0.618 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.618 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.618 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.618 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.619 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.621 * [taylor]: Taking taylor expansion of 1.0 in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.626 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.626 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.626 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.626 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.626 * [taylor]: Taking taylor expansion of 1.0 in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.626 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.629 * [taylor]: Taking taylor expansion of 1.0 in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.712 * * * [progress]: simplifying candidates 0.713 * [simplify]: Simplifying using # : (expm1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (exp (/ 1.0 x)) (exp (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))) (* x x) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ 1.0 (sqrt (- 1.0 (* x x)))) (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)))) (expm1 (/ (sqrt (- 1.0 (* x x))) x)) (log1p (/ (sqrt (- 1.0 (* x x))) x)) (- (log (sqrt (- 1.0 (* x x)))) (log x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (/ (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (* (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (- (sqrt (- 1.0 (* x x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ 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(/ (sqrt (+ (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (- (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) x)) 1) (/ (sqrt (- (sqrt 1.0) x)) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) 1) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (* x x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (* x x)))) (/ (sqrt (- 1.0 (* x x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) 1) (/ x (cbrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (cbrt (- 1.0 (* x x))))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (/ x (sqrt (- (sqrt 1.0) x))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (* x (sqrt (+ 1.0 (* x x)))) (expm1 (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log1p (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log 1) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (/ 1 (* (cbrt x) (cbrt x)))) (log (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x)))) (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (log (/ 1 1)) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log 1) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (log (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (log (* x x)) (log (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (log (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (exp (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (* (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt 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(fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (- (sqrt -1) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))) (fma 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))) (- (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (sqrt -1)))) (- (- (- (log (+ (sqrt 1.0) 1.0)) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))))) (fma 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0))) (log x))) (* (/ 1/8 (pow (+ (sqrt 1.0) 1.0) 2)) (/ (pow x 4) 1.0))) (+ (/ (- 0.16666666666666666) (* (pow x 3) (pow (sqrt -1) 3))) (fma 1.0 (/ 1 (* x (sqrt -1))) (log (sqrt -1)))) (+ (/ (- 1.0) (* x (sqrt -1))) (fma 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (log (- (sqrt -1))))) 0.765 * * * [progress]: adding candidates to table 1.049 * * [progress]: iteration 2 / 4 1.050 * * * [progress]: picking best candidate 1.053 * * * * [pick]: Picked # 1.053 * * * [progress]: localizing error 1.062 * * * [progress]: generating rewritten candidates 1.063 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.073 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 1.076 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.084 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.092 * * * [progress]: generating series expansions 1.092 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.093 * [approximate]: Taking taylor expansion of (/ (+ (sqrt (- 1.0 (pow x 2))) 1.0) x) in (x) around 0 1.093 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (- 1.0 (pow x 2))) 1.0) x) in x 1.093 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 1.093 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.093 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.093 * [taylor]: Taking taylor expansion of 1.0 in x 1.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of 1.0 in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.096 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (- 1.0 (pow x 2))) 1.0) x) in x 1.096 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 1.096 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.096 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.096 * [taylor]: Taking taylor expansion of 1.0 in x 1.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of 1.0 in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.133 * [approximate]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in (x) around 0 1.133 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 1.133 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.133 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.133 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.133 * [taylor]: Taking taylor expansion of 1.0 in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.136 * [taylor]: Taking taylor expansion of 1.0 in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.136 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 1.136 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.136 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.136 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.136 * [taylor]: Taking taylor expansion of 1.0 in x 1.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of 1.0 in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.157 * [approximate]: Taking taylor expansion of (* -1 (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x)) in (x) around 0 1.158 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x)) in x 1.158 * [taylor]: Taking taylor expansion of -1 in x 1.158 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 1.158 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.158 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.158 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.158 * [taylor]: Taking taylor expansion of 1.0 in x 1.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.160 * [taylor]: Taking taylor expansion of 1.0 in x 1.160 * [taylor]: Taking taylor expansion of x in x 1.160 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x)) in x 1.160 * [taylor]: Taking taylor expansion of -1 in x 1.160 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 1.160 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.160 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.161 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.161 * [taylor]: Taking taylor expansion of 1.0 in x 1.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.163 * [taylor]: Taking taylor expansion of 1.0 in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.191 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 1.191 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 1.191 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.191 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.191 * [taylor]: Taking taylor expansion of 1.0 in x 1.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.191 * [taylor]: Taking taylor expansion of x in x 1.192 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.192 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.192 * [taylor]: Taking taylor expansion of 1.0 in x 1.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.212 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.212 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.212 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.212 * [taylor]: Taking taylor expansion of 1.0 in x 1.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.212 * [taylor]: Taking taylor expansion of x in x 1.215 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.215 * [taylor]: Taking taylor expansion of 1.0 in x 1.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.215 * [taylor]: Taking taylor expansion of x in x 1.232 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.232 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.232 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.232 * [taylor]: Taking taylor expansion of 1.0 in x 1.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.232 * [taylor]: Taking taylor expansion of x in x 1.235 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.235 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.235 * [taylor]: Taking taylor expansion of 1.0 in x 1.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.235 * [taylor]: Taking taylor expansion of x in x 1.252 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.252 * [approximate]: Taking taylor expansion of (log (/ (+ (sqrt (- 1.0 (pow x 2))) 1.0) x)) in (x) around 0 1.252 * [taylor]: Taking taylor expansion of (log (/ (+ (sqrt (- 1.0 (pow x 2))) 1.0) x)) in x 1.252 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (- 1.0 (pow x 2))) 1.0) x) in x 1.252 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 1.252 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.252 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.252 * [taylor]: Taking taylor expansion of 1.0 in x 1.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.252 * [taylor]: Taking taylor expansion of x in x 1.254 * [taylor]: Taking taylor expansion of 1.0 in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of (log (/ (+ (sqrt (- 1.0 (pow x 2))) 1.0) x)) in x 1.256 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (- 1.0 (pow x 2))) 1.0) x) in x 1.256 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 1.256 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.256 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.256 * [taylor]: Taking taylor expansion of 1.0 in x 1.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.257 * [taylor]: Taking taylor expansion of 1.0 in x 1.257 * [taylor]: Taking taylor expansion of x in x 1.553 * [approximate]: Taking taylor expansion of (log (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x)) in (x) around 0 1.553 * [taylor]: Taking taylor expansion of (log (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x)) in x 1.553 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 1.553 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.553 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.553 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.553 * [taylor]: Taking taylor expansion of 1.0 in x 1.553 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.553 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.553 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of 1.0 in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of (log (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x)) in x 1.559 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 1.559 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.559 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.559 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.559 * [taylor]: Taking taylor expansion of 1.0 in x 1.559 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.559 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.562 * [taylor]: Taking taylor expansion of 1.0 in x 1.562 * [taylor]: Taking taylor expansion of x in x 1.624 * [approximate]: Taking taylor expansion of (log (* -1 (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x))) in (x) around 0 1.624 * [taylor]: Taking taylor expansion of (log (* -1 (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x))) in x 1.624 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x)) in x 1.624 * [taylor]: Taking taylor expansion of -1 in x 1.624 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 1.624 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.624 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.624 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.624 * [taylor]: Taking taylor expansion of 1.0 in x 1.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.624 * [taylor]: Taking taylor expansion of x in x 1.630 * [taylor]: Taking taylor expansion of 1.0 in x 1.630 * [taylor]: Taking taylor expansion of x in x 1.634 * [taylor]: Taking taylor expansion of (log (* -1 (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x))) in x 1.634 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x)) in x 1.635 * [taylor]: Taking taylor expansion of -1 in x 1.635 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 1.635 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.635 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.635 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.635 * [taylor]: Taking taylor expansion of 1.0 in x 1.635 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.635 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.635 * [taylor]: Taking taylor expansion of x in x 1.637 * [taylor]: Taking taylor expansion of 1.0 in x 1.637 * [taylor]: Taking taylor expansion of x in x 1.717 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.718 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in (x) around 0 1.718 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 1.718 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.718 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.718 * [taylor]: Taking taylor expansion of 1.0 in x 1.718 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.718 * [taylor]: Taking taylor expansion of x in x 1.719 * [taylor]: Taking taylor expansion of 1.0 in x 1.719 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 1.719 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.719 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.719 * [taylor]: Taking taylor expansion of 1.0 in x 1.719 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.719 * [taylor]: Taking taylor expansion of x in x 1.720 * [taylor]: Taking taylor expansion of 1.0 in x 1.740 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in (x) around 0 1.740 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.740 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.740 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.740 * [taylor]: Taking taylor expansion of 1.0 in x 1.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.740 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.740 * [taylor]: Taking taylor expansion of x in x 1.743 * [taylor]: Taking taylor expansion of 1.0 in x 1.743 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.743 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.743 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.743 * [taylor]: Taking taylor expansion of 1.0 in x 1.743 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.743 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.743 * [taylor]: Taking taylor expansion of x in x 1.746 * [taylor]: Taking taylor expansion of 1.0 in x 1.753 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in (x) around 0 1.753 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.753 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.753 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.753 * [taylor]: Taking taylor expansion of 1.0 in x 1.753 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.753 * [taylor]: Taking taylor expansion of x in x 1.756 * [taylor]: Taking taylor expansion of 1.0 in x 1.756 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.756 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.756 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.756 * [taylor]: Taking taylor expansion of 1.0 in x 1.756 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.756 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.756 * [taylor]: Taking taylor expansion of x in x 1.759 * [taylor]: Taking taylor expansion of 1.0 in x 1.766 * * * [progress]: simplifying candidates 1.768 * [simplify]: Simplifying using # : (expm1 (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (log1p (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (+ (- (log x)) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (+ (- 0 (log x)) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (+ (- (log 1) (log x)) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (+ (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (exp (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (+ 1.0 (sqrt (- 1.0 (* x x)))) (+ 1.0 (sqrt (- 1.0 (* x x))))) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (+ 1.0 (sqrt (- 1.0 (* x x)))) (+ 1.0 (sqrt (- 1.0 (* x x))))) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (cbrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (cbrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))) (cbrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (* (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (sqrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (sqrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* 1 (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3))) (* x (+ (* 1.0 1.0) (- (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (* 1.0 (sqrt (- 1.0 (* x x))))))) (* 1 (- (* 1.0 1.0) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))))) (* x (- 1.0 (sqrt (- 1.0 (* x x))))) (* (sqrt (/ 1 x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (sqrt (/ 1 x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ (sqrt 1) (sqrt x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ (sqrt 1) (sqrt x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ 1 (sqrt x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ 1 (sqrt x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ 1 x) 1.0) (* (/ 1 x) (sqrt (- 1.0 (* x x)))) (* 1.0 (/ 1 x)) (* (sqrt (- 1.0 (* x x))) (/ 1 x)) (* (/ 1 x) (* (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))))) (* (/ 1 x) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ 1 x) 1) (* (/ 1 x) 1) (* (cbrt (/ 1 x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (sqrt (/ 1 x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ (cbrt 1) (cbrt x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ (cbrt 1) (sqrt x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ (cbrt 1) x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ (sqrt 1) (cbrt x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ (sqrt 1) (sqrt x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ (sqrt 1) x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 (cbrt x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 (sqrt x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 x) (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3))) (* (/ 1 x) (- (* 1.0 1.0) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))))) (* 1 (+ 1.0 (sqrt (- 1.0 (* x x))))) (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)))) (expm1 (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))) (log1p (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))) (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (log (* 1 (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)))) (log (* x (+ (* 1.0 1.0) (- (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (* 1.0 (sqrt (- 1.0 (* x x)))))))) (log (* 1 (- (* 1.0 1.0) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))))))) (log (* x (- 1.0 (sqrt (- 1.0 (* x x)))))) (log (* (/ 1 x) (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)))) (log (+ (* 1.0 1.0) (- (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (* 1.0 (sqrt (- 1.0 (* x x))))))) (log (* (/ 1 x) (- (* 1.0 1.0) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))))))) (log (- 1.0 (sqrt (- 1.0 (* x x))))) (log (* 1 (+ 1.0 (sqrt (- 1.0 (* x x)))))) (log x) (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (log (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))) (exp (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))) (* (cbrt (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))) (cbrt (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))))) (cbrt (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))) (* (* (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))) (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))) (sqrt (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))) (sqrt (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))) (expm1 (+ 1.0 (sqrt (- 1.0 (* x x))))) (log1p (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (exp 1.0) (exp (sqrt (- 1.0 (* x x))))) (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (exp (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (cbrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (* (+ 1.0 (sqrt (- 1.0 (* x x)))) (+ 1.0 (sqrt (- 1.0 (* x x))))) (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (* 1.0 (sqrt (- 1.0 (* x x)))))) (- (* 1.0 1.0) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))))) (- 1.0 (sqrt (- 1.0 (* x x)))) (+ 1.0 (sqrt (- 1.0 (* x x)))) (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- (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)))) (- (log (+ (sqrt 1.0) 1.0)) (+ (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0)))) (+ (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))) (+ (log x) (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 2)))))))) (- (+ (log (sqrt -1)) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (+ (log (- (sqrt -1))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (* 1.0 (/ 1 (* x (sqrt -1))))) (- (+ (sqrt 1.0) 1.0) (+ (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (+ 1.0 (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) (- 1.0 (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 1.775 * * [simplify]: iteration 0 : 638 enodes (cost 923 ) 1.787 * * [simplify]: iteration 1 : 2849 enodes (cost 826 ) 1.827 * * [simplify]: iteration 2 : 5002 enodes (cost 796 ) 1.831 * [simplify]: Simplified to: (expm1 (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (log1p (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) (log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) (log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) (log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) (log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) (log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) (exp (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) (pow (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) 3) (pow (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) 3) (* (cbrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (cbrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))) (cbrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (pow (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) 3) (sqrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (sqrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)) (* (- (+ (* 1.0 1.0) (- 1.0 (* x x))) (* 1.0 (sqrt (- 1.0 (* x x))))) x) (+ (- (* 1.0 1.0) 1.0) (pow x 2)) (* x (- 1.0 (sqrt (- 1.0 (* x x))))) (* (sqrt (/ 1 x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (sqrt (/ 1 x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (/ (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow x 1/2)) (/ (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow x 1/2)) (/ (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow x 1/2)) (/ (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow x 1/2)) (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x) (* (/ 1 x) (* (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))))) (* (/ 1 x) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (/ 1 x) (/ 1 x) (* (cbrt (/ 1 x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (sqrt (/ 1 x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) (/ (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)) x) (- (/ (* 1.0 1.0) x) (/ (- 1.0 (* x x)) x)) (+ 1.0 (sqrt (- 1.0 (* x x)))) (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)))) (expm1 (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))) (log1p (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))) (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (log (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3))) (log (* x (+ (* 1.0 1.0) (- (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (* 1.0 (sqrt (- 1.0 (* x x)))))))) (- (log (* (+ (- (* 1.0 1.0) 1.0) (pow x 2)) 2)) (log 2)) (log (* x (- 1.0 (sqrt (- 1.0 (* x x)))))) (log (* (/ 1 x) (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)))) (log (+ (* 1.0 1.0) (- (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (* 1.0 (sqrt (- 1.0 (* x x))))))) (- 0 (log (/ x (+ (- (* 1.0 1.0) 1.0) (pow x 2))))) (log (- 1.0 (sqrt (- 1.0 (* x x))))) (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (log x) (log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) (log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) (log (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) (* (cbrt (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))) (cbrt (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))))) (cbrt (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))) (pow (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) 3) (sqrt (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))) (sqrt (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))) (expm1 (+ 1.0 (sqrt (- 1.0 (* x x))))) (log1p (+ 1.0 (sqrt (- 1.0 (* x x))))) (exp (+ 1.0 (sqrt (- 1.0 (* x x))))) (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (exp (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (cbrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow (+ 1.0 (sqrt (- 1.0 (* x x)))) 3) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)) (fma 1.0 1.0 (- 1.0 (+ (pow x 2) (* 1.0 (sqrt (- 1.0 (* x x))))))) (+ (- (* 1.0 1.0) 1.0) (pow x 2)) (- 1.0 (sqrt (- 1.0 (* x x)))) (+ 1.0 (sqrt (- 1.0 (* x x)))) (fma 1.0 (/ 1 x) (- (/ (sqrt 1.0) x) (fma 1/2 (/ x (sqrt 1.0)) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3)))))) (fma (/ 1 (* (pow x 2) (sqrt -1))) 0.5 (fma 1.0 (/ 1 x) (sqrt -1))) (fma 1.0 (/ 1 x) (- (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (sqrt -1)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (fma (- 0.125) (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (fma (sqrt -1) x (/ (/ 0.5 (sqrt -1)) x))) (fma 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (- (fma 0.5 (/ 1 (* x (sqrt -1))) (* x (sqrt -1))))) (- (- (- (log (+ (sqrt 1.0) 1.0)) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))))) (fma 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0))) (log x))) (* (/ 1/8 (pow (+ (sqrt 1.0) 1.0) 2)) (/ (pow x 4) 1.0))) (+ (/ (- 0.16666666666666666) (* (pow x 3) (pow (sqrt -1) 3))) (fma 1.0 (/ 1 (* x (sqrt -1))) (log (sqrt -1)))) (+ (/ (- 1.0) (* x (sqrt -1))) (fma 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (log (- (sqrt -1))))) (+ (sqrt 1.0) (- 1.0 (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))))) (fma 1 1.0 (fma (sqrt -1) x (/ (/ 0.5 (sqrt -1)) x))) (- 1.0 (fma 0.5 (/ 1 (* x (sqrt -1))) (* x (sqrt -1)))) 1.832 * * * [progress]: adding candidates to table 2.065 * * [progress]: iteration 3 / 4 2.065 * * * [progress]: picking best candidate 2.068 * * * * [pick]: Picked # 2.068 * * * [progress]: localizing error 2.081 * * * [progress]: generating rewritten candidates 2.081 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 2.082 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 2.084 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 2.085 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 2.092 * * * [progress]: generating series expansions 2.092 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 2.092 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.092 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.092 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.092 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.092 * [taylor]: Taking taylor expansion of 1/3 in x 2.092 * [taylor]: Taking taylor expansion of (log x) in x 2.092 * [taylor]: Taking taylor expansion of x in x 2.093 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.093 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.093 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.093 * [taylor]: Taking taylor expansion of 1/3 in x 2.093 * [taylor]: Taking taylor expansion of (log x) in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.144 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.144 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.144 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.144 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.144 * [taylor]: Taking taylor expansion of 1/3 in x 2.144 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.144 * [taylor]: Taking taylor expansion of x in x 2.145 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.145 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.145 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.145 * [taylor]: Taking taylor expansion of 1/3 in x 2.145 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.145 * [taylor]: Taking taylor expansion of x in x 2.199 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.199 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.199 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.199 * [taylor]: Taking taylor expansion of -1 in x 2.199 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.199 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.199 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.199 * [taylor]: Taking taylor expansion of 1/3 in x 2.199 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.199 * [taylor]: Taking taylor expansion of x in x 2.200 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.200 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.200 * [taylor]: Taking taylor expansion of -1 in x 2.201 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.201 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.201 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.201 * [taylor]: Taking taylor expansion of 1/3 in x 2.201 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.201 * [taylor]: Taking taylor expansion of x in x 2.264 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 2.264 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.264 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.264 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.264 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.264 * [taylor]: Taking taylor expansion of 1/3 in x 2.264 * [taylor]: Taking taylor expansion of (log x) in x 2.264 * [taylor]: Taking taylor expansion of x in x 2.265 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.265 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.265 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.265 * [taylor]: Taking taylor expansion of 1/3 in x 2.265 * [taylor]: Taking taylor expansion of (log x) in x 2.265 * [taylor]: Taking taylor expansion of x in x 2.312 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.312 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.312 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.312 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.312 * [taylor]: Taking taylor expansion of 1/3 in x 2.312 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.312 * [taylor]: Taking taylor expansion of x in x 2.313 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.313 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.313 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.313 * [taylor]: Taking taylor expansion of 1/3 in x 2.313 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.313 * [taylor]: Taking taylor expansion of x in x 2.366 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.366 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.366 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.367 * [taylor]: Taking taylor expansion of -1 in x 2.367 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.367 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.367 * [taylor]: Taking taylor expansion of 1/3 in x 2.367 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.367 * [taylor]: Taking taylor expansion of x in x 2.368 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.368 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.368 * [taylor]: Taking taylor expansion of -1 in x 2.369 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.369 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.369 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.369 * [taylor]: Taking taylor expansion of 1/3 in x 2.369 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.369 * [taylor]: Taking taylor expansion of x in x 2.435 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 2.435 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.435 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.435 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.435 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.435 * [taylor]: Taking taylor expansion of 1/3 in x 2.435 * [taylor]: Taking taylor expansion of (log x) in x 2.435 * [taylor]: Taking taylor expansion of x in x 2.436 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.436 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.436 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.436 * [taylor]: Taking taylor expansion of 1/3 in x 2.436 * [taylor]: Taking taylor expansion of (log x) in x 2.436 * [taylor]: Taking taylor expansion of x in x 2.489 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.489 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.489 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.489 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.489 * [taylor]: Taking taylor expansion of 1/3 in x 2.489 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.489 * [taylor]: Taking taylor expansion of x in x 2.490 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.490 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.490 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.490 * [taylor]: Taking taylor expansion of 1/3 in x 2.490 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.490 * [taylor]: Taking taylor expansion of x in x 2.541 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.541 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.541 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.541 * [taylor]: Taking taylor expansion of -1 in x 2.547 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.547 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.547 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.547 * [taylor]: Taking taylor expansion of 1/3 in x 2.547 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.547 * [taylor]: Taking taylor expansion of x in x 2.548 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.548 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.548 * [taylor]: Taking taylor expansion of -1 in x 2.549 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.549 * [taylor]: Taking taylor expansion of 1/3 in x 2.549 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.549 * [taylor]: Taking taylor expansion of x in x 2.610 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 2.610 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 2.610 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 2.610 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 2.610 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 2.610 * [taylor]: Taking taylor expansion of 1/3 in x 2.610 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 2.610 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.610 * [taylor]: Taking taylor expansion of x in x 2.611 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 2.611 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 2.611 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 2.611 * [taylor]: Taking taylor expansion of 1/3 in x 2.611 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 2.611 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.611 * [taylor]: Taking taylor expansion of x in x 2.668 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 2.668 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.668 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.668 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.668 * [taylor]: Taking taylor expansion of 1/3 in x 2.668 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.668 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.668 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.669 * [taylor]: Taking taylor expansion of x in x 2.670 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.670 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.670 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.670 * [taylor]: Taking taylor expansion of 1/3 in x 2.670 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.670 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.670 * [taylor]: Taking taylor expansion of x in x 2.730 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 2.730 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 2.730 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 2.730 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.730 * [taylor]: Taking taylor expansion of -1 in x 2.731 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.731 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.731 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.731 * [taylor]: Taking taylor expansion of 1/3 in x 2.731 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.731 * [taylor]: Taking taylor expansion of x in x 2.732 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 2.732 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 2.732 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.732 * [taylor]: Taking taylor expansion of -1 in x 2.733 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.733 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.733 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.733 * [taylor]: Taking taylor expansion of 1/3 in x 2.733 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.733 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.733 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.733 * [taylor]: Taking taylor expansion of x in x 2.810 * * * [progress]: simplifying candidates 2.811 * [simplify]: Simplifying using # : (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 2.815 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 2.819 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 2.833 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 2.898 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 2.901 * [simplify]: Simplified to: (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) 2/3 2 (pow x 2) (pow x 2/3) 2 (* 2/3 (log x)) (* 2/3 (log x)) (exp (pow x 2/3)) (pow x 2) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (pow x 2) (fabs (pow x 1/3)) (fabs (pow x 1/3)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (pow x 1/3) (pow x 1/3) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (pow x 1/3) (pow x 1/3) 2/3 2 (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (pow x 1/3) (pow (cbrt (cbrt x)) 5) (pow (sqrt (cbrt x)) 3) (pow x 1/3) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 2.901 * * * [progress]: adding candidates to table 3.121 * [progress]: [Phase 3 of 3] Extracting. 3.121 * * [regime]: Finding splitpoints for: (# #) 3.121 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.121 * * * * [regimes]: Trying to branch on x from (# #) 3.135 * * * [regime]: Found split indices: #