6.883 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.048 * * * [progress]: [2/2] Setting up program. 0.050 * [progress]: [Phase 2 of 3] Improving. 0.051 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.053 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.054 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.055 * * [simplify]: iteration 2 : 18 enodes (cost 7 ) 0.057 * * [simplify]: iteration 3 : 18 enodes (cost 7 ) 0.057 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.057 * * [progress]: iteration 1 / 4 0.057 * * * [progress]: picking best candidate 0.059 * * * * [pick]: Picked # 0.059 * * * [progress]: localizing error 0.068 * * * [progress]: generating rewritten candidates 0.068 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.087 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.096 * * * [progress]: generating series expansions 0.096 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.096 * [approximate]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 0.096 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.096 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.096 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.096 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.096 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of 1.0 in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.101 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.101 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.101 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.101 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.223 * [approximate]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.223 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.223 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.223 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.223 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.223 * [taylor]: Taking taylor expansion of 1.0 in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.223 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.229 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.229 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.229 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.229 * [taylor]: Taking taylor expansion of 1.0 in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.232 * [taylor]: Taking taylor expansion of 1.0 in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.300 * [approximate]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 0.300 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.300 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.300 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.300 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.300 * [taylor]: Taking taylor expansion of 1.0 in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.303 * [taylor]: Taking taylor expansion of 1.0 in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.308 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.308 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.308 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.308 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.308 * [taylor]: Taking taylor expansion of 1.0 in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.311 * [taylor]: Taking taylor expansion of 1.0 in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.396 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.396 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.396 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.396 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.396 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.396 * [taylor]: Taking taylor expansion of 1.0 in x 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.398 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.430 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.430 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.430 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.430 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.433 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.433 * [taylor]: Taking taylor expansion of 1.0 in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.475 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.475 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.475 * [taylor]: Taking taylor expansion of -1 in x 0.475 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.475 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.475 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.478 * [taylor]: Taking taylor expansion of -1 in x 0.478 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.478 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.526 * * * [progress]: simplifying candidates 0.528 * [simplify]: Simplifying using # : (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)))) (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)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 1) (/ (cbrt (sqrt (- 1.0 (* x x)))) x) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 1) (/ (sqrt (cbrt (- 1.0 (* x 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) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (+ (sqrt 1.0) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) x)) (cbrt x)) (/ (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)))) (- (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) 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)) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) 0.534 * * [simplify]: iteration 0 : 436 enodes (cost 723 ) 0.541 * * [simplify]: iteration 1 : 1521 enodes (cost 687 ) 0.565 * * [simplify]: iteration 2 : 5001 enodes (cost 677 ) 0.569 * [simplify]: Simplified to: (expm1 (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log1p (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* 2 (log (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)))) 0 (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)))) 0 (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0 (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)))) (+ (/ 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)))) (pow (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 3) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (expm1 (/ (sqrt (- 1.0 (* x x))) x)) (log1p (/ (sqrt (- 1.0 (* x x))) x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (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)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) x) (/ (/ (fabs (cbrt (- 1.0 (* x x)))) (cbrt x)) (cbrt x)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt x)) (/ (fabs (cbrt (- 1.0 (* x x)))) (* (sqrt x) 1)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x 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)))) (/ (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 (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (+ (sqrt 1.0) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) x)) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (- (sqrt 1.0) x)) (sqrt x)) (sqrt (+ (sqrt 1.0) x)) (/ (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)))) (/ (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 (/ (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))) (/ 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)))) (- (- (log (+ (sqrt 1.0) 1.0)) (fma 1/2 (/ x (/ (+ (* (sqrt 1.0) 1.0) 1.0) x)) (fma 1/8 (/ (/ (pow x 4) (pow (+ (sqrt 1.0) 1.0) 2)) 1.0) (log x)))) (* (/ 1/8 (fma 1.0 (sqrt 1.0) 1.0)) (/ (pow x 4) 1.0))) (- (/ 1.0 (* x (sqrt -1))) (- (/ (/ 0.16666666666666666 (pow (sqrt -1) 3)) (pow x 3)) (log (sqrt -1)))) (- (/ (/ 0.16666666666666666 (pow (sqrt -1) 3)) (pow x 3)) (- (/ 1.0 (* x (sqrt -1))) (log (- (sqrt -1))))) (- (/ (sqrt 1.0) x) (fma 1/2 (/ x (sqrt 1.0)) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (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)))) 0.569 * * * [progress]: adding candidates to table 0.758 * * [progress]: iteration 2 / 4 0.758 * * * [progress]: picking best candidate 0.763 * * * * [pick]: Picked # 0.763 * * * [progress]: localizing error 0.780 * * * [progress]: generating rewritten candidates 0.780 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.812 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.817 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.826 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1 1) 0.842 * * * [progress]: generating series expansions 0.842 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.843 * [approximate]: Taking taylor expansion of (* (pow (- 1.0 (pow x 2)) 1/6) (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) x)) in (x) around 0 0.843 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (pow x 2)) 1/6) (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) x)) in x 0.843 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/6) in x 0.843 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (pow x 2))))) in x 0.843 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (pow x 2)))) in x 0.843 * [taylor]: Taking taylor expansion of 1/6 in x 0.843 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 0.843 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.843 * [taylor]: Taking taylor expansion of 1.0 in x 0.843 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) x) in x 0.846 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (pow x 2)) 1/3)) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (pow x 2)) 1/6) (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) x)) in x 0.846 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/6) in x 0.846 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (pow x 2))))) in x 0.846 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (pow x 2)))) in x 0.846 * [taylor]: Taking taylor expansion of 1/6 in x 0.846 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 0.846 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.846 * [taylor]: Taking taylor expansion of 1.0 in x 0.846 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) x) in x 0.849 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (pow x 2)) 1/3)) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.934 * [approximate]: Taking taylor expansion of (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6)) in (x) around 0 0.934 * [taylor]: Taking taylor expansion of (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6)) in x 0.934 * [taylor]: Taking taylor expansion of (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) in x 0.934 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 0.934 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 0.934 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 0.934 * [taylor]: Taking taylor expansion of 1/6 in x 0.934 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 0.934 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.934 * [taylor]: Taking taylor expansion of 1.0 in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.934 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6)) in x 0.937 * [taylor]: Taking taylor expansion of (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) in x 0.937 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 0.937 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 0.937 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 0.937 * [taylor]: Taking taylor expansion of 1/6 in x 0.937 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 0.937 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.937 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.937 * [taylor]: Taking taylor expansion of x in x 1.035 * [approximate]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 (pow x 2))) 1/6) (/ (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) (pow (sqrt (/ -1 x)) 2))) in (x) around 0 1.035 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 (pow x 2))) 1/6) (/ (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) (pow (sqrt (/ -1 x)) 2))) in x 1.035 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 1.035 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.035 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.035 * [taylor]: Taking taylor expansion of 1/6 in x 1.035 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.035 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.035 * [taylor]: Taking taylor expansion of 1.0 in x 1.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.037 * [taylor]: Taking taylor expansion of (/ (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) (pow (sqrt (/ -1 x)) 2)) in x 1.037 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) in x 1.038 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 1.038 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.038 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.038 * [taylor]: Taking taylor expansion of -1 in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 (pow x 2))) 1/6) (/ (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) (pow (sqrt (/ -1 x)) 2))) in x 1.040 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 1.040 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.040 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.040 * [taylor]: Taking taylor expansion of 1/6 in x 1.040 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.040 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.040 * [taylor]: Taking taylor expansion of 1.0 in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (/ (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) (pow (sqrt (/ -1 x)) 2)) in x 1.042 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) in x 1.042 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 1.042 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.042 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.042 * [taylor]: Taking taylor expansion of -1 in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.084 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.084 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (fabs (pow (- 1.0 (pow x 2)) 1/3))) in (x) around 0 1.084 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (fabs (pow (- 1.0 (pow x 2)) 1/3))) in x 1.084 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (pow x 2)) 1/3)) in x 1.086 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (fabs (pow (- 1.0 (pow x 2)) 1/3))) in x 1.086 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.087 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (pow x 2)) 1/3)) in x 1.096 * [approximate]: Taking taylor expansion of (* (sqrt x) (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) in (x) around 0 1.096 * [taylor]: Taking taylor expansion of (* (sqrt x) (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) in x 1.096 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) in x 1.097 * [taylor]: Taking taylor expansion of (* (sqrt x) (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) in x 1.098 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.099 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) in x 1.107 * [approximate]: Taking taylor expansion of (/ (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) (sqrt (/ -1 x))) in (x) around 0 1.107 * [taylor]: Taking taylor expansion of (/ (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) (sqrt (/ -1 x))) in x 1.107 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) in x 1.107 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.107 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.107 * [taylor]: Taking taylor expansion of -1 in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of (/ (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) (sqrt (/ -1 x))) in x 1.109 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) in x 1.109 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.109 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.109 * [taylor]: Taking taylor expansion of -1 in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.120 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 1.120 * [approximate]: Taking taylor expansion of (* (pow (- 1.0 (pow x 2)) 1/6) (sqrt (/ 1 x))) in (x) around 0 1.120 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (pow x 2)) 1/6) (sqrt (/ 1 x))) in x 1.120 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/6) in x 1.120 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (pow x 2))))) in x 1.120 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (pow x 2)))) in x 1.120 * [taylor]: Taking taylor expansion of 1/6 in x 1.120 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 1.120 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (pow x 2)) 1/6) (sqrt (/ 1 x))) in x 1.124 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/6) in x 1.124 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (pow x 2))))) in x 1.124 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (pow x 2)))) in x 1.124 * [taylor]: Taking taylor expansion of 1/6 in x 1.124 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 1.124 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.124 * [taylor]: Taking taylor expansion of 1.0 in x 1.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.126 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.176 * [approximate]: Taking taylor expansion of (* (sqrt x) (pow (- 1.0 (/ 1 (pow x 2))) 1/6)) in (x) around 0 1.176 * [taylor]: Taking taylor expansion of (* (sqrt x) (pow (- 1.0 (/ 1 (pow x 2))) 1/6)) in x 1.176 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.176 * [taylor]: Taking taylor expansion of x in x 1.177 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 1.178 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.178 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.178 * [taylor]: Taking taylor expansion of 1/6 in x 1.178 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.178 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.178 * [taylor]: Taking taylor expansion of 1.0 in x 1.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.180 * [taylor]: Taking taylor expansion of (* (sqrt x) (pow (- 1.0 (/ 1 (pow x 2))) 1/6)) in x 1.180 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.180 * [taylor]: Taking taylor expansion of x in x 1.181 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 1.181 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.181 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.181 * [taylor]: Taking taylor expansion of 1/6 in x 1.181 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.181 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.181 * [taylor]: Taking taylor expansion of 1.0 in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.217 * [approximate]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 (pow x 2))) 1/6) (/ 1 (sqrt (/ -1 x)))) in (x) around 0 1.217 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 (pow x 2))) 1/6) (/ 1 (sqrt (/ -1 x)))) in x 1.217 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 1.217 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.217 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.217 * [taylor]: Taking taylor expansion of 1/6 in x 1.217 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.217 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.217 * [taylor]: Taking taylor expansion of 1.0 in x 1.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.217 * [taylor]: Taking taylor expansion of x in x 1.220 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.220 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.220 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.220 * [taylor]: Taking taylor expansion of -1 in x 1.220 * [taylor]: Taking taylor expansion of x in x 1.222 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 (pow x 2))) 1/6) (/ 1 (sqrt (/ -1 x)))) in x 1.222 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 1.222 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.222 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.222 * [taylor]: Taking taylor expansion of 1/6 in x 1.222 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.222 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.222 * [taylor]: Taking taylor expansion of 1.0 in x 1.222 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.222 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.222 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.224 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.224 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.224 * [taylor]: Taking taylor expansion of -1 in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.261 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1 1) 1.262 * [approximate]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/3) in (x) around 0 1.262 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/3) in x 1.262 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (pow x 2))))) in x 1.262 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (pow x 2)))) in x 1.262 * [taylor]: Taking taylor expansion of 1/3 in x 1.262 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 1.262 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.262 * [taylor]: Taking taylor expansion of 1.0 in x 1.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.264 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/3) in x 1.264 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (pow x 2))))) in x 1.264 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (pow x 2)))) in x 1.264 * [taylor]: Taking taylor expansion of 1/3 in x 1.264 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 1.264 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.264 * [taylor]: Taking taylor expansion of 1.0 in x 1.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.339 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in (x) around 0 1.339 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in x 1.339 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.339 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.339 * [taylor]: Taking taylor expansion of 1/3 in x 1.339 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.339 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.339 * [taylor]: Taking taylor expansion of 1.0 in x 1.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.341 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in x 1.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.342 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.342 * [taylor]: Taking taylor expansion of 1/3 in x 1.342 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.342 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.342 * [taylor]: Taking taylor expansion of 1.0 in x 1.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.399 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in (x) around 0 1.399 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in x 1.399 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.399 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.399 * [taylor]: Taking taylor expansion of 1/3 in x 1.399 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.399 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.399 * [taylor]: Taking taylor expansion of 1.0 in x 1.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.399 * [taylor]: Taking taylor expansion of x in x 1.402 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in x 1.402 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.402 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.402 * [taylor]: Taking taylor expansion of 1/3 in x 1.402 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.402 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.402 * [taylor]: Taking taylor expansion of 1.0 in x 1.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.402 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.402 * [taylor]: Taking taylor expansion of x in x 1.466 * * * [progress]: simplifying candidates 1.471 * [simplify]: Simplifying using # : (expm1 (* (/ (fabs (cbrt (- 1.0 (* x x)))) (* (sqrt x) 1)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)))) (log1p (* (/ (fabs (cbrt (- 1.0 (* x x)))) (* (sqrt x) 1)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)))) (* (/ (fabs (cbrt (- 1.0 (* x x)))) (* (sqrt x) 1)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x))) (+ (- (log (fabs (cbrt (- 1.0 (* x x))))) (+ (log (sqrt x)) 0)) (- (log (sqrt (cbrt (- 1.0 (* x x))))) (log (sqrt x)))) (+ (- (log (fabs (cbrt (- 1.0 (* x x))))) (+ (log (sqrt x)) 0)) (log (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)))) (+ (- (log (fabs (cbrt (- 1.0 (* x x))))) (+ (log (sqrt x)) (log 1))) (- (log (sqrt (cbrt (- 1.0 (* x x))))) (log (sqrt x)))) (+ (- (log (fabs (cbrt (- 1.0 (* x x))))) (+ (log (sqrt x)) (log 1))) (log (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)))) (+ (- (log (fabs (cbrt (- 1.0 (* x x))))) (log (* (sqrt x) 1))) (- (log (sqrt (cbrt (- 1.0 (* x x))))) (log (sqrt x)))) (+ (- (log (fabs (cbrt (- 1.0 (* x x))))) (log (* (sqrt x) 1))) (log (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)))) (+ (log (/ (fabs (cbrt (- 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(sqrt (cbrt (- (sqrt 1.0) x))) (sqrt (cbrt x))) (/ (sqrt (cbrt (+ (sqrt 1.0) x))) (sqrt (sqrt x))) (/ (sqrt (cbrt (- (sqrt 1.0) x))) (sqrt (sqrt x))) (sqrt (cbrt (+ (sqrt 1.0) x))) (/ (sqrt (cbrt (- (sqrt 1.0) x))) (sqrt x)) (/ (sqrt (cbrt (+ (sqrt 1.0) x))) (sqrt (sqrt x))) (/ (sqrt (cbrt (- (sqrt 1.0) x))) (sqrt (sqrt x))) (sqrt (cbrt (+ (sqrt 1.0) x))) (/ (sqrt (cbrt (- (sqrt 1.0) x))) (sqrt x)) (/ (/ (fabs (cbrt (cbrt (- 1.0 (* x x))))) (cbrt (sqrt x))) (cbrt (sqrt x))) (/ (sqrt (cbrt (cbrt (- 1.0 (* x x))))) (cbrt (sqrt x))) (/ (sqrt (* (cbrt (cbrt (- 1.0 (* x x)))) (cbrt (cbrt (- 1.0 (* x x)))))) (sqrt (* (cbrt x) (cbrt x)))) (/ (sqrt (cbrt (cbrt (- 1.0 (* x x))))) (sqrt (cbrt x))) (/ (sqrt (* (cbrt (cbrt (- 1.0 (* x x)))) (cbrt (cbrt (- 1.0 (* x x)))))) (sqrt (sqrt x))) (/ (sqrt (cbrt (cbrt (- 1.0 (* x x))))) (sqrt (sqrt x))) (fabs (cbrt (cbrt (- 1.0 (* x x))))) (/ (sqrt (cbrt (cbrt (- 1.0 (* x x))))) (sqrt x)) (/ (sqrt (* (cbrt (cbrt (- 1.0 (* x x)))) (cbrt (cbrt (- 1.0 (* x x)))))) (sqrt (sqrt x))) (/ (sqrt (cbrt (cbrt (- 1.0 (* x x))))) (sqrt (sqrt x))) (fabs (cbrt (cbrt (- 1.0 (* x x))))) (/ (sqrt (cbrt (cbrt (- 1.0 (* x x))))) (sqrt x)) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (cbrt (sqrt x))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt (* (cbrt x) (cbrt x)))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt (cbrt x))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt (sqrt x))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt (sqrt x))) (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt x)) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt (sqrt x))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt (sqrt x))) (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt x)) (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt (sqrt x))) (/ 1 (sqrt (* (cbrt x) (cbrt x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (cbrt x))) (/ 1 (sqrt (sqrt x))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt x))) 1 (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (/ 1 (sqrt (sqrt x))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt x))) 1 (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (cbrt (sqrt x))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt (* (cbrt x) (cbrt x)))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt (cbrt x))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt (sqrt x))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt (sqrt x))) (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt x)) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt (sqrt x))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt (sqrt x))) (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt x)) (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt (sqrt x))) (/ 1 (sqrt (* (cbrt x) (cbrt x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (cbrt x))) (/ 1 (sqrt (sqrt x))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt x))) 1 (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (/ 1 (sqrt (sqrt x))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt x))) 1 (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (/ 1 (sqrt x)) (/ (sqrt x) (sqrt (cbrt (- 1.0 (* x x))))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (* (cbrt x) (cbrt x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt x))) (sqrt (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt x))) (sqrt (cbrt (- 1.0 (* x x)))) (/ (sqrt x) (cbrt (sqrt (cbrt (- 1.0 (* x x)))))) (/ (sqrt x) (sqrt (cbrt (cbrt (- 1.0 (* x x)))))) (/ (sqrt x) (sqrt (cbrt (sqrt (- 1.0 (* x x)))))) (/ (sqrt x) (sqrt (cbrt (- 1.0 (* x x))))) (/ (sqrt x) (sqrt (cbrt (- (sqrt 1.0) x)))) (/ (sqrt x) (sqrt (cbrt (cbrt (- 1.0 (* x x)))))) (/ (sqrt x) (sqrt (sqrt (cbrt (- 1.0 (* x x)))))) (/ (sqrt x) (sqrt (cbrt (- 1.0 (* x x))))) (/ (sqrt x) (sqrt (sqrt (cbrt (- 1.0 (* x x)))))) (/ (sqrt x) (sqrt (cbrt (- 1.0 (* x x))))) (* (sqrt x) (sqrt (cbrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (* (sqrt x) (sqrt (cbrt (+ 1.0 (* x x))))) (expm1 (cbrt (- 1.0 (* x x)))) (log1p (cbrt (- 1.0 (* x x)))) (log (cbrt (- 1.0 (* x x)))) (exp (cbrt (- 1.0 (* x x)))) (cbrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (cbrt (cbrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt 1) (pow (- 1.0 (pow x 2)) 1/3) (cbrt (+ (sqrt 1.0) x)) (cbrt (- (sqrt 1.0) x)) (cbrt (- (pow 1.0 3) (pow (* x x) 3))) (cbrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (cbrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (cbrt (+ 1.0 (* x x))) (* (cbrt (cbrt (- 1.0 (* x x)))) (cbrt (cbrt (- 1.0 (* x x))))) (cbrt (cbrt (- 1.0 (* x x)))) (pow (pow (- 1.0 (pow x 2)) 1/3) 3) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (fma (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) x) (pow 1.0 1/6) (- (* 0.013888888888888888 (* (* (pow x 3) (fabs (pow (- 1.0 (pow x 2)) 1/3))) (pow 1.0 1/6))) (fma 1/12 (* (* (pow x 3) (fabs (pow (- 1.0 (pow x 2)) 1/3))) (pow (/ 1 (pow 1.0 11)) 1/6)) (* 0.16666666666666666 (* (* x (fabs (pow (- 1.0 (pow x 2)) 1/3))) (pow 1.0 1/6)))))) (- (/ (* (exp (* 1/6 (- (log -1) (* 2 (log (/ 1 x)))))) (fabs (pow (- 1.0 (pow x 2)) 1/3))) x) (+ (* 0.06944444444444445 (/ (* (exp (* 1/6 (- (log -1) (* 2 (log (/ 1 x)))))) (fabs (pow (- 1.0 (pow x 2)) 1/3))) (pow x 5))) (* 0.16666666666666666 (/ (* (exp (* 1/6 (- (log -1) (* 2 (log (/ 1 x)))))) (fabs (pow (- 1.0 (pow x 2)) 1/3))) (pow x 3))))) (+ (- (* +nan.0 (/ (* (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (fabs (pow (- 1.0 (pow x 2)) 1/3))) (pow x 2)))) (fma +nan.0 (/ (* (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (fabs (pow (- 1.0 (pow x 2)) 1/3))) x) (- (* +nan.0 (* (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (fabs (pow (- 1.0 (pow x 2)) 1/3))))))) (+ (- (* +nan.0 (fabs (pow (- 1.0 (pow x 2)) 1/3)))) (fma +nan.0 (* x (fabs (pow (- 1.0 (pow x 2)) 1/3))) (- (* +nan.0 (* (pow x 2) (fabs (pow (- 1.0 (pow x 2)) 1/3))))))) (+ (- (* +nan.0 (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) (pow x 3)))) (fma +nan.0 (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) (pow x 2)) (- (* +nan.0 (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) x))))) (+ (- (* +nan.0 (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) x))) (fma +nan.0 (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) (pow x 2)) (- (* +nan.0 (fabs (pow (- 1.0 (pow x 2)) 1/3)))))) (+ (- (* +nan.0 (* x (pow 1.0 1/6)))) (fma +nan.0 (* (pow x 2) (pow 1.0 1/6)) (- (* +nan.0 (pow 1.0 1/6))))) (+ (- (* +nan.0 (/ (exp (* 1/6 (- (log -1) (* 2 (log (/ 1 x)))))) (pow x 3)))) (fma +nan.0 (/ (exp (* 1/6 (- (log -1) (* 2 (log (/ 1 x)))))) x) (- (* +nan.0 (/ (exp (* 1/6 (- (log -1) (* 2 (log (/ 1 x)))))) (pow x 2)))))) (+ (- (* +nan.0 (/ (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (pow x 2)))) (fma +nan.0 (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (- (* +nan.0 (/ (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) x))))) (fma (* 0.05555555555555555 (pow x 4)) (pow 1.0 1/3) (- (pow 1.0 1/3) (fma 0.3333333333333333 (* (pow x 2) (pow 1.0 1/3)) (* 1/6 (* (pow x 4) (pow (/ 1 (pow 1.0 5)) 1/3)))))) (- (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 x)))))) (+ (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 x)))))) (pow x 4))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 x)))))) (pow x 2))))) (- (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 x)))))) (+ (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 x)))))) (pow x 4))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 x)))))) (pow x 2))))) 1.532 * * * [progress]: adding candidates to table 2.296 * * [progress]: iteration 3 / 4 2.296 * * * [progress]: picking best candidate 2.298 * * * * [pick]: Picked # 2.298 * * * [progress]: localizing error 2.309 * * * [progress]: generating rewritten candidates 2.309 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.332 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.357 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 2.363 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2) 2.375 * * * [progress]: generating series expansions 2.375 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.376 * [approximate]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 2.376 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 2.376 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.376 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.376 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.376 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.376 * [taylor]: Taking taylor expansion of 1.0 in x 2.376 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.376 * [taylor]: Taking taylor expansion of x in x 2.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.377 * [taylor]: Taking taylor expansion of x in x 2.378 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.378 * [taylor]: Taking taylor expansion of 1.0 in x 2.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.378 * [taylor]: Taking taylor expansion of x in x 2.381 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 2.381 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.381 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.381 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.381 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.381 * [taylor]: Taking taylor expansion of 1.0 in x 2.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.381 * [taylor]: Taking taylor expansion of x in x 2.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.383 * [taylor]: Taking taylor expansion of x in x 2.383 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.383 * [taylor]: Taking taylor expansion of 1.0 in x 2.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.383 * [taylor]: Taking taylor expansion of x in x 2.461 * [approximate]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 2.461 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.461 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.461 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.461 * [taylor]: Taking taylor expansion of x in x 2.461 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.461 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.461 * [taylor]: Taking taylor expansion of 1.0 in x 2.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.461 * [taylor]: Taking taylor expansion of x in x 2.464 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.464 * [taylor]: Taking taylor expansion of 1.0 in x 2.464 * [taylor]: Taking taylor expansion of x in x 2.475 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.475 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.475 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.475 * [taylor]: Taking taylor expansion of x in x 2.475 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.475 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.475 * [taylor]: Taking taylor expansion of 1.0 in x 2.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.475 * [taylor]: Taking taylor expansion of x in x 2.478 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.478 * [taylor]: Taking taylor expansion of 1.0 in x 2.478 * [taylor]: Taking taylor expansion of x in x 2.511 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 2.511 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 2.511 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.511 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.511 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.511 * [taylor]: Taking taylor expansion of x in x 2.511 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.511 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.511 * [taylor]: Taking taylor expansion of 1.0 in x 2.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.511 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.512 * [taylor]: Taking taylor expansion of x in x 2.514 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.514 * [taylor]: Taking taylor expansion of 1.0 in x 2.514 * [taylor]: Taking taylor expansion of x in x 2.534 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 2.534 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.534 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.534 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.534 * [taylor]: Taking taylor expansion of x in x 2.534 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.534 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.534 * [taylor]: Taking taylor expansion of 1.0 in x 2.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.534 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.535 * [taylor]: Taking taylor expansion of x in x 2.537 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.537 * [taylor]: Taking taylor expansion of 1.0 in x 2.537 * [taylor]: Taking taylor expansion of x in x 2.587 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.588 * [approximate]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 2.588 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 2.588 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.588 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.588 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.588 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.588 * [taylor]: Taking taylor expansion of 1.0 in x 2.588 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.588 * [taylor]: Taking taylor expansion of x in x 2.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.589 * [taylor]: Taking taylor expansion of x in x 2.589 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.589 * [taylor]: Taking taylor expansion of 1.0 in x 2.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.589 * [taylor]: Taking taylor expansion of x in x 2.593 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 2.593 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.593 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.593 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.593 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.593 * [taylor]: Taking taylor expansion of 1.0 in x 2.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.594 * [taylor]: Taking taylor expansion of x in x 2.594 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.594 * [taylor]: Taking taylor expansion of 1.0 in x 2.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.594 * [taylor]: Taking taylor expansion of x in x 2.672 * [approximate]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 2.672 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.672 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.672 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.672 * [taylor]: Taking taylor expansion of x in x 2.672 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.672 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.672 * [taylor]: Taking taylor expansion of 1.0 in x 2.672 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.672 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.672 * [taylor]: Taking taylor expansion of x in x 2.675 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.675 * [taylor]: Taking taylor expansion of 1.0 in x 2.675 * [taylor]: Taking taylor expansion of x in x 2.685 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.685 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.685 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.685 * [taylor]: Taking taylor expansion of x in x 2.685 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.685 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.685 * [taylor]: Taking taylor expansion of 1.0 in x 2.686 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.686 * [taylor]: Taking taylor expansion of x in x 2.689 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.689 * [taylor]: Taking taylor expansion of 1.0 in x 2.689 * [taylor]: Taking taylor expansion of x in x 2.727 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 2.727 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 2.727 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.727 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.727 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.727 * [taylor]: Taking taylor expansion of x in x 2.727 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.727 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.727 * [taylor]: Taking taylor expansion of 1.0 in x 2.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.727 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.727 * [taylor]: Taking taylor expansion of x in x 2.730 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.730 * [taylor]: Taking taylor expansion of 1.0 in x 2.730 * [taylor]: Taking taylor expansion of x in x 2.745 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 2.745 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.745 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.745 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.745 * [taylor]: Taking taylor expansion of x in x 2.745 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.745 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.745 * [taylor]: Taking taylor expansion of 1.0 in x 2.745 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.745 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.745 * [taylor]: Taking taylor expansion of x in x 2.748 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.748 * [taylor]: Taking taylor expansion of 1.0 in x 2.748 * [taylor]: Taking taylor expansion of x in x 2.806 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 2.806 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 2.806 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.806 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.806 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.806 * [taylor]: Taking taylor expansion of 1.0 in x 2.806 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.806 * [taylor]: Taking taylor expansion of x in x 2.807 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.807 * [taylor]: Taking taylor expansion of x in x 2.808 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.808 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.808 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.808 * [taylor]: Taking taylor expansion of 1.0 in x 2.808 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.808 * [taylor]: Taking taylor expansion of x in x 2.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.809 * [taylor]: Taking taylor expansion of x in x 2.840 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 2.840 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.840 * [taylor]: Taking taylor expansion of x in x 2.840 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.840 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.840 * [taylor]: Taking taylor expansion of 1.0 in x 2.840 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.840 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.840 * [taylor]: Taking taylor expansion of x in x 2.843 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.843 * [taylor]: Taking taylor expansion of x in x 2.843 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.843 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.843 * [taylor]: Taking taylor expansion of 1.0 in x 2.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.843 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.843 * [taylor]: Taking taylor expansion of x in x 2.887 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 2.888 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 2.888 * [taylor]: Taking taylor expansion of -1 in x 2.888 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.888 * [taylor]: Taking taylor expansion of x in x 2.888 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.888 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.888 * [taylor]: Taking taylor expansion of 1.0 in x 2.888 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.888 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.888 * [taylor]: Taking taylor expansion of x in x 2.891 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 2.891 * [taylor]: Taking taylor expansion of -1 in x 2.891 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.891 * [taylor]: Taking taylor expansion of x in x 2.891 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.891 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.891 * [taylor]: Taking taylor expansion of 1.0 in x 2.891 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.891 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.891 * [taylor]: Taking taylor expansion of x in x 2.940 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2) 2.941 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 2.941 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.941 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.941 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.941 * [taylor]: Taking taylor expansion of 1.0 in x 2.941 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.941 * [taylor]: Taking taylor expansion of x in x 2.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.942 * [taylor]: Taking taylor expansion of x in x 2.942 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.942 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.942 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.942 * [taylor]: Taking taylor expansion of 1.0 in x 2.942 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.942 * [taylor]: Taking taylor expansion of x in x 2.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.944 * [taylor]: Taking taylor expansion of x in x 2.982 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 2.982 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.982 * [taylor]: Taking taylor expansion of x in x 2.982 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.982 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.982 * [taylor]: Taking taylor expansion of 1.0 in x 2.982 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.982 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.982 * [taylor]: Taking taylor expansion of x in x 2.985 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.985 * [taylor]: Taking taylor expansion of x in x 2.985 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.985 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.985 * [taylor]: Taking taylor expansion of 1.0 in x 2.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.985 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.985 * [taylor]: Taking taylor expansion of x in x 3.023 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 3.023 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 3.023 * [taylor]: Taking taylor expansion of -1 in x 3.023 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.023 * [taylor]: Taking taylor expansion of x in x 3.023 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.023 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.023 * [taylor]: Taking taylor expansion of 1.0 in x 3.023 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.023 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.023 * [taylor]: Taking taylor expansion of x in x 3.026 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 3.026 * [taylor]: Taking taylor expansion of -1 in x 3.026 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.026 * [taylor]: Taking taylor expansion of x in x 3.026 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.026 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.026 * [taylor]: Taking taylor expansion of 1.0 in x 3.026 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.026 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.026 * [taylor]: Taking taylor expansion of x in x 3.083 * * * [progress]: simplifying candidates 3.085 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log1p (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (exp (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (cbrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (cbrt (sqrt (+ (/ 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)))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (sqrt (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt 1) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (* (cbrt x) (cbrt x)))) (sqrt (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x)))) (sqrt (/ 1 (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (/ 1 1)) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt 1) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (sqrt (* x x)) (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (sqrt (+ (* (/ 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))))) (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (/ 1 2) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (expm1 (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log1p (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (exp (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (cbrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (cbrt (sqrt (+ (/ 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)))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (sqrt (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt 1) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (* (cbrt x) (cbrt x)))) (sqrt (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x)))) (sqrt (/ 1 (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (/ 1 1)) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt 1) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (sqrt (* x x)) (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (sqrt (+ (* (/ 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))))) (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (/ 1 2) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x 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)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 1) (/ (cbrt (sqrt (- 1.0 (* x x)))) x) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 1) (/ (sqrt (cbrt (- 1.0 (* x 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) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (+ (sqrt 1.0) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) x)) (cbrt x)) (/ (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 (/ (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)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 1) (/ (cbrt (sqrt (- 1.0 (* x x)))) x) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 1) (/ (sqrt (cbrt (- 1.0 (* x 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) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (+ (sqrt 1.0) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) x)) (cbrt x)) (/ (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)))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (* (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (* x (sqrt 1.0))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (* (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (* x (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow x 2) (pow (sqrt 1.0) 2))) (- +nan.0))))))))))))))))))) (+ (* 0.125 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (sqrt -1) 3))))) (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (sqrt -1))))) (sqrt (sqrt -1)))) (- (+ (* 0.5 (/ 1 (* x (sqrt (- (sqrt -1)))))) (sqrt (- (sqrt -1)))) (+ (* 0.125 (/ 1 (* (pow x 2) (pow (sqrt (- (sqrt -1))) 3)))) (* 0.25 (/ 1 (* (pow x 2) (* (sqrt -1) (sqrt (- (sqrt -1))))))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (* (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (* x (sqrt 1.0))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (* (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (* x (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow x 2) (pow (sqrt 1.0) 2))) (- +nan.0))))))))))))))))))) (+ (* 0.125 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (sqrt -1) 3))))) (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (sqrt -1))))) (sqrt (sqrt -1)))) (- (+ (* 0.5 (/ 1 (* x (sqrt (- (sqrt -1)))))) (sqrt (- (sqrt -1)))) (+ (* 0.125 (/ 1 (* (pow x 2) (pow (sqrt (- (sqrt -1))) 3)))) (* 0.25 (/ 1 (* (pow x 2) (* (sqrt -1) (sqrt (- (sqrt -1))))))))) (- (/ (sqrt 1.0) 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)) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- (/ (sqrt 1.0) 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)) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) 3.094 * * [simplify]: iteration 0 : 515 enodes (cost 1466 ) 3.103 * * [simplify]: iteration 1 : 1718 enodes (cost 1416 ) 3.131 * * [simplify]: iteration 2 : 5002 enodes (cost 1378 ) 3.138 * [simplify]: Simplified to: (expm1 (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log1p (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (exp (sqrt (+ (/ 1.0 x) (/ 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(pow (sqrt -1) 3))) (fma (/ 0.5 x) (sqrt (/ 1 (sqrt -1))) (sqrt (sqrt -1)))) (fma 0.5 (/ 1 (* x (sqrt (- (sqrt -1))))) (- (sqrt (- (sqrt -1))) (fma 0.125 (/ 1 (* (pow x 2) (pow (sqrt (- (sqrt -1))) 3))) (* 0.25 (/ 1 (* (pow x 2) (* (sqrt -1) (sqrt (- (sqrt -1)))))))))) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (fma (- 0.125) (/ (/ -1 (sqrt -1)) (pow x 4)) (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (sqrt -1))) (fma 0.125 (/ (/ -1 (sqrt -1)) (pow x 4)) (- (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (sqrt -1)))) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (fma (- 0.125) (/ (/ -1 (sqrt -1)) (pow x 4)) (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (sqrt -1))) (fma 0.125 (/ (/ -1 (sqrt -1)) (pow x 4)) (- (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (sqrt -1)))) 3.139 * * * [progress]: adding candidates to table 3.724 * [progress]: [Phase 3 of 3] Extracting. 3.724 * * [regime]: Finding splitpoints for: (# #) 3.725 * * * [regime-changes]: Trying 2 branch expressions: ((+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) x) 3.725 * * * * [regimes]: Trying to branch on (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) from (# #) 3.742 * * * * [regimes]: Trying to branch on x from (# #) 3.754 * * * [regime]: Found split indices: #