5.786 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.045 * * * [progress]: [2/2] Setting up program. 0.047 * [progress]: [Phase 2 of 3] Improving. 0.047 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.049 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.051 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.052 * * [simplify]: iteration 2 : 18 enodes (cost 7 ) 0.053 * * [simplify]: iteration 3 : 18 enodes (cost 7 ) 0.053 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.064 * * * [progress]: generating rewritten candidates 0.064 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.071 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.094 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 1) 0.102 * * * [progress]: generating series expansions 0.102 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.103 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.103 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.103 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.103 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.105 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.105 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.138 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.138 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.138 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.138 * [taylor]: Taking taylor expansion of 1.0 in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.141 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.176 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.176 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.176 * [taylor]: Taking taylor expansion of -1 in x 0.176 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.176 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.177 * [taylor]: Taking taylor expansion of 1.0 in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.179 * [taylor]: Taking taylor expansion of -1 in x 0.179 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.179 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.232 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.232 * [approximate]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 0.232 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.232 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.232 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.232 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.232 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.232 * [taylor]: Taking taylor expansion of 1.0 in x 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.234 * [taylor]: Taking taylor expansion of 1.0 in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.237 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.237 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 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 (/ 1 x) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.238 * [taylor]: Taking taylor expansion of 1.0 in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.355 * [approximate]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.355 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.355 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.355 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.355 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.362 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.362 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.362 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.365 * [taylor]: Taking taylor expansion of 1.0 in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.430 * [approximate]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 0.430 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.430 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.430 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 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 (* 1.0 x) in x 0.433 * [taylor]: Taking taylor expansion of 1.0 in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.438 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.438 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.438 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.438 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.438 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.525 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 1) 0.525 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.525 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.525 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.525 * [taylor]: Taking taylor expansion of 1.0 in x 0.525 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.526 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.526 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.541 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.541 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.541 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.541 * [taylor]: Taking taylor expansion of 1.0 in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.541 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.541 * [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 0.562 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.562 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.562 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.562 * [taylor]: Taking taylor expansion of 1.0 in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.562 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.564 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.582 * * * [progress]: simplifying candidates 0.583 * [simplify]: Simplifying using # : (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 (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)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (/ (sqrt 1.0) 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))) (- (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) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.590 * * [simplify]: iteration 0 : 494 enodes (cost 854 ) 0.598 * * [simplify]: iteration 1 : 1763 enodes (cost 815 ) 0.626 * * [simplify]: iteration 2 : 5001 enodes (cost 809 ) 0.635 * [simplify]: Simplified to: (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)))) (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)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (pow (sqrt (- 1.0 (* x x))) 3) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot x (sqrt 1.0)) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (/ (sqrt 1.0) x) (+ (* 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)))) (- (- (- (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) (+ (* 1/8 (/ (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))))) 0.635 * * * [progress]: adding candidates to table 0.876 * * [progress]: iteration 2 / 4 0.876 * * * [progress]: picking best candidate 0.880 * * * * [pick]: Picked # 0.880 * * * [progress]: localizing error 0.894 * * * [progress]: generating rewritten candidates 0.894 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.944 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.995 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 1.002 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2) 1.015 * * * [progress]: generating series expansions 1.015 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.015 * [approximate]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 1.015 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 1.015 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.015 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.015 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.015 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.015 * [taylor]: Taking taylor expansion of 1.0 in x 1.015 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.017 * [taylor]: Taking taylor expansion of 1.0 in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.021 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 1.021 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.021 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.021 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.021 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.021 * [taylor]: Taking taylor expansion of 1.0 in x 1.021 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.021 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.023 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.023 * [taylor]: Taking taylor expansion of 1.0 in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.097 * [approximate]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 1.097 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.097 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.097 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.097 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.097 * [taylor]: Taking taylor expansion of 1.0 in x 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.100 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.100 * [taylor]: Taking taylor expansion of 1.0 in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.110 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.110 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.110 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.110 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.110 * [taylor]: Taking taylor expansion of 1.0 in x 1.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.113 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.113 * [taylor]: Taking taylor expansion of 1.0 in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.144 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 1.144 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 1.144 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.144 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.144 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.144 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.144 * [taylor]: Taking taylor expansion of 1.0 in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.147 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.147 * [taylor]: Taking taylor expansion of 1.0 in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.160 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 1.160 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.160 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.160 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.160 * [taylor]: Taking taylor expansion of x in x 1.160 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.160 * [taylor]: Taking taylor expansion of 1.0 in x 1.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.160 * [taylor]: Taking taylor expansion of x in x 1.163 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.163 * [taylor]: Taking taylor expansion of 1.0 in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.216 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.217 * [approximate]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 1.217 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 1.217 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.217 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.217 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.217 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.217 * [taylor]: Taking taylor expansion of 1.0 in x 1.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.217 * [taylor]: Taking taylor expansion of x in x 1.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.218 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.218 * [taylor]: Taking taylor expansion of 1.0 in x 1.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.222 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 1.222 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.222 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.222 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.222 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.222 * [taylor]: Taking taylor expansion of 1.0 in x 1.222 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.222 * [taylor]: Taking taylor expansion of x in x 1.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.224 * [taylor]: Taking taylor expansion of 1.0 in x 1.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.299 * [approximate]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 1.299 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.299 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.299 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.299 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.299 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.299 * [taylor]: Taking taylor expansion of 1.0 in x 1.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.302 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.302 * [taylor]: Taking taylor expansion of 1.0 in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.312 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.312 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.312 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.312 * [taylor]: Taking taylor expansion of x in x 1.312 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.312 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.312 * [taylor]: Taking taylor expansion of 1.0 in x 1.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.312 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.315 * [taylor]: Taking taylor expansion of 1.0 in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.353 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 1.353 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 1.353 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.353 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.353 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.353 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.353 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.353 * [taylor]: Taking taylor expansion of 1.0 in x 1.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.356 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.356 * [taylor]: Taking taylor expansion of 1.0 in x 1.356 * [taylor]: Taking taylor expansion of x in x 1.368 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 1.368 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.368 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.368 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.368 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.368 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.368 * [taylor]: Taking taylor expansion of 1.0 in x 1.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.371 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.371 * [taylor]: Taking taylor expansion of 1.0 in x 1.371 * [taylor]: Taking taylor expansion of x in x 1.420 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 1.420 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 1.420 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.420 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.420 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.420 * [taylor]: Taking taylor expansion of 1.0 in x 1.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.420 * [taylor]: Taking taylor expansion of x in x 1.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.421 * [taylor]: Taking taylor expansion of x in x 1.421 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.421 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.421 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.421 * [taylor]: Taking taylor expansion of 1.0 in x 1.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.421 * [taylor]: Taking taylor expansion of x in x 1.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.458 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 1.459 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.459 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.459 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.459 * [taylor]: Taking taylor expansion of 1.0 in x 1.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.459 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.461 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.461 * [taylor]: Taking taylor expansion of x in x 1.461 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.461 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.461 * [taylor]: Taking taylor expansion of 1.0 in x 1.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.462 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.462 * [taylor]: Taking taylor expansion of x in x 1.497 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 1.497 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.497 * [taylor]: Taking taylor expansion of -1 in x 1.497 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.497 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.497 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.497 * [taylor]: Taking taylor expansion of 1.0 in x 1.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.500 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.500 * [taylor]: Taking taylor expansion of -1 in x 1.500 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.500 * [taylor]: Taking taylor expansion of x in x 1.500 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.500 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.500 * [taylor]: Taking taylor expansion of 1.0 in x 1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.500 * [taylor]: Taking taylor expansion of x in x 1.553 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2) 1.553 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 1.553 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.553 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.553 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.553 * [taylor]: Taking taylor expansion of 1.0 in x 1.553 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.553 * [taylor]: Taking taylor expansion of x in x 1.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.554 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.554 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.554 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.554 * [taylor]: Taking taylor expansion of 1.0 in x 1.554 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.586 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 1.586 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.586 * [taylor]: Taking taylor expansion of x in x 1.586 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.586 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.586 * [taylor]: Taking taylor expansion of 1.0 in x 1.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.586 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.586 * [taylor]: Taking taylor expansion of x in x 1.589 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.589 * [taylor]: Taking taylor expansion of x in x 1.589 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.589 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.589 * [taylor]: Taking taylor expansion of 1.0 in x 1.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.589 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.589 * [taylor]: Taking taylor expansion of x in x 1.631 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 1.631 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.631 * [taylor]: Taking taylor expansion of -1 in x 1.631 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.631 * [taylor]: Taking taylor expansion of x in x 1.631 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.631 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.631 * [taylor]: Taking taylor expansion of 1.0 in x 1.631 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.631 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.631 * [taylor]: Taking taylor expansion of x in x 1.633 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.634 * [taylor]: Taking taylor expansion of -1 in x 1.634 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.634 * [taylor]: Taking taylor expansion of x in x 1.634 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.634 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.634 * [taylor]: Taking taylor expansion of 1.0 in x 1.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.634 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.634 * [taylor]: Taking taylor expansion of x in x 1.688 * * * [progress]: simplifying candidates 1.690 * [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))) 1.698 * * [simplify]: iteration 0 : 515 enodes (cost 1466 ) 1.707 * * [simplify]: iteration 1 : 1718 enodes (cost 1416 ) 1.733 * * [simplify]: iteration 2 : 5002 enodes (cost 1378 ) 1.740 * [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) (/ (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)))) (pow (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 3) (fabs (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)))) 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)))) 1 (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 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)))))) (fabs x) (hypot (pow (/ (sqrt (- 1.0 (* x x))) x) 3/2) (pow (/ 1.0 x) 3/2)) (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)))) (pow (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 3) (fabs (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)))) 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)))) 1 (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 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)))))) (fabs x) (hypot (pow (/ (sqrt (- 1.0 (* x x))) x) 3/2) (pow (/ 1.0 x) 3/2)) (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))) 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)))) (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)))) (+ (+ (- (* +nan.0 (pow x 2))) (* (sqrt 1.0) (- +nan.0 (* (* +nan.0 1.0) (pow x 2))))) (+ (* +nan.0 (- (/ (pow x 2) (sqrt 1.0)) (* x (sqrt 1.0)))) (+ (+ (* +nan.0 (- x (* (pow x 2) (sqrt 1.0)))) (* (* +nan.0 1.0) (- x (pow x 2)))) +nan.0))) (fma (/ 0.125 (pow x 2)) (sqrt (/ 1 (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)))))))))) (+ (+ (- (* +nan.0 (pow x 2))) (* (sqrt 1.0) (- +nan.0 (* (* +nan.0 1.0) (pow x 2))))) (+ (* +nan.0 (- (/ (pow x 2) (sqrt 1.0)) (* x (sqrt 1.0)))) (+ (+ (* +nan.0 (- x (* (pow x 2) (sqrt 1.0)))) (* (* +nan.0 1.0) (- x (pow x 2)))) +nan.0))) (fma (/ 0.125 (pow x 2)) (sqrt (/ 1 (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)))) 1.741 * * * [progress]: adding candidates to table 2.306 * * [progress]: iteration 3 / 4 2.306 * * * [progress]: picking best candidate 2.309 * * * * [pick]: Picked # 2.309 * * * [progress]: localizing error 2.326 * * * [progress]: generating rewritten candidates 2.326 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 2.366 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 2.374 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 2.377 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.398 * * * [progress]: generating series expansions 2.398 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 2.398 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 2.398 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.398 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.398 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.398 * [taylor]: Taking taylor expansion of 1.0 in x 2.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.398 * [taylor]: Taking taylor expansion of x in x 2.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.400 * [taylor]: Taking taylor expansion of x in x 2.400 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.400 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.400 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.400 * [taylor]: Taking taylor expansion of 1.0 in x 2.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.400 * [taylor]: Taking taylor expansion of x in x 2.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.401 * [taylor]: Taking taylor expansion of x in x 2.433 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 2.433 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.433 * [taylor]: Taking taylor expansion of x in x 2.433 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.433 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.433 * [taylor]: Taking taylor expansion of 1.0 in x 2.433 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.433 * [taylor]: Taking taylor expansion of x in x 2.436 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.436 * [taylor]: Taking taylor expansion of x in x 2.436 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.436 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.436 * [taylor]: Taking taylor expansion of 1.0 in x 2.436 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.436 * [taylor]: Taking taylor expansion of x in x 2.478 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (pow (sqrt (/ -1 x)) 2))) in (x) around 0 2.478 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (pow (sqrt (/ -1 x)) 2))) in x 2.478 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.478 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.478 * [taylor]: Taking taylor expansion of 1.0 in x 2.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.478 * [taylor]: Taking taylor expansion of x in x 2.481 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt (/ -1 x)) 2)) in x 2.481 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.481 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.481 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.481 * [taylor]: Taking taylor expansion of -1 in x 2.481 * [taylor]: Taking taylor expansion of x in x 2.483 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (pow (sqrt (/ -1 x)) 2))) in x 2.483 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.483 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.483 * [taylor]: Taking taylor expansion of 1.0 in x 2.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.483 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.483 * [taylor]: Taking taylor expansion of x in x 2.485 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt (/ -1 x)) 2)) in x 2.485 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.485 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.485 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.485 * [taylor]: Taking taylor expansion of -1 in x 2.485 * [taylor]: Taking taylor expansion of x in x 2.517 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 2.518 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in (x) around 0 2.518 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 2.518 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 2.518 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.518 * [taylor]: Taking taylor expansion of 1.0 in x 2.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.518 * [taylor]: Taking taylor expansion of x in x 2.518 * [taylor]: Taking taylor expansion of x in x 2.519 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 2.519 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 2.519 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.519 * [taylor]: Taking taylor expansion of 1.0 in x 2.519 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.519 * [taylor]: Taking taylor expansion of x in x 2.519 * [taylor]: Taking taylor expansion of x in x 2.527 * [approximate]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 2.527 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 2.527 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 2.527 * [taylor]: Taking taylor expansion of x in x 2.527 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.527 * [taylor]: Taking taylor expansion of 1.0 in x 2.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.527 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.527 * [taylor]: Taking taylor expansion of x in x 2.531 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 2.531 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 2.531 * [taylor]: Taking taylor expansion of x in x 2.531 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.531 * [taylor]: Taking taylor expansion of 1.0 in x 2.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.531 * [taylor]: Taking taylor expansion of x in x 2.545 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in (x) around 0 2.545 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 2.545 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.545 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.545 * [taylor]: Taking taylor expansion of 1.0 in x 2.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.545 * [taylor]: Taking taylor expansion of x in x 2.548 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 2.548 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.548 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.548 * [taylor]: Taking taylor expansion of -1 in x 2.548 * [taylor]: Taking taylor expansion of x in x 2.549 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 2.549 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.549 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.549 * [taylor]: Taking taylor expansion of 1.0 in x 2.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.549 * [taylor]: Taking taylor expansion of x in x 2.558 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 2.558 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.558 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.558 * [taylor]: Taking taylor expansion of -1 in x 2.558 * [taylor]: Taking taylor expansion of x in x 2.587 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 2.587 * [approximate]: Taking taylor expansion of (sqrt (/ 1 x)) in (x) around 0 2.587 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.587 * [taylor]: Taking taylor expansion of x in x 2.588 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.588 * [taylor]: Taking taylor expansion of x in x 2.594 * [approximate]: Taking taylor expansion of (sqrt x) in (x) around 0 2.594 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.594 * [taylor]: Taking taylor expansion of x in x 2.595 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.596 * [taylor]: Taking taylor expansion of x in x 2.601 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in (x) around 0 2.601 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 2.601 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.601 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.601 * [taylor]: Taking taylor expansion of -1 in x 2.601 * [taylor]: Taking taylor expansion of x in x 2.602 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 2.602 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.603 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.603 * [taylor]: Taking taylor expansion of -1 in x 2.603 * [taylor]: Taking taylor expansion of x in x 2.613 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.614 * [approximate]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 2.614 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 2.614 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.614 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.614 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.614 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.614 * [taylor]: Taking taylor expansion of 1.0 in x 2.614 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.614 * [taylor]: Taking taylor expansion of x in x 2.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.615 * [taylor]: Taking taylor expansion of x in x 2.615 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.615 * [taylor]: Taking taylor expansion of 1.0 in x 2.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.615 * [taylor]: Taking taylor expansion of x in x 2.618 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 2.618 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.618 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.618 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.618 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.618 * [taylor]: Taking taylor expansion of 1.0 in x 2.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.618 * [taylor]: Taking taylor expansion of x in x 2.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.619 * [taylor]: Taking taylor expansion of x in x 2.619 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.619 * [taylor]: Taking taylor expansion of 1.0 in x 2.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.619 * [taylor]: Taking taylor expansion of x in x 2.738 * [approximate]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 2.738 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.738 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.738 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.738 * [taylor]: Taking taylor expansion of x in x 2.738 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.738 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.738 * [taylor]: Taking taylor expansion of 1.0 in x 2.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.738 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.738 * [taylor]: Taking taylor expansion of x in x 2.741 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.741 * [taylor]: Taking taylor expansion of 1.0 in x 2.741 * [taylor]: Taking taylor expansion of x in x 2.744 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.744 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.744 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.744 * [taylor]: Taking taylor expansion of x in x 2.744 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.744 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.744 * [taylor]: Taking taylor expansion of 1.0 in x 2.744 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.744 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.744 * [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 2.815 * [approximate]: Taking taylor expansion of (log (- (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (pow (sqrt (/ -1 x)) 2))) (* 1.0 x))) in (x) around 0 2.815 * [taylor]: Taking taylor expansion of (log (- (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (pow (sqrt (/ -1 x)) 2))) (* 1.0 x))) in x 2.815 * [taylor]: Taking taylor expansion of (- (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (pow (sqrt (/ -1 x)) 2))) (* 1.0 x)) in x 2.815 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (pow (sqrt (/ -1 x)) 2))) in x 2.815 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.815 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.815 * [taylor]: Taking taylor expansion of 1.0 in x 2.815 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.815 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.816 * [taylor]: Taking taylor expansion of x in x 2.818 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt (/ -1 x)) 2)) in x 2.818 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.818 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.818 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.818 * [taylor]: Taking taylor expansion of -1 in x 2.818 * [taylor]: Taking taylor expansion of x in x 2.820 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.820 * [taylor]: Taking taylor expansion of 1.0 in x 2.820 * [taylor]: Taking taylor expansion of x in x 2.823 * [taylor]: Taking taylor expansion of (log (- (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (pow (sqrt (/ -1 x)) 2))) (* 1.0 x))) in x 2.823 * [taylor]: Taking taylor expansion of (- (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (pow (sqrt (/ -1 x)) 2))) (* 1.0 x)) in x 2.823 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (pow (sqrt (/ -1 x)) 2))) in x 2.823 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.823 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.823 * [taylor]: Taking taylor expansion of 1.0 in x 2.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.823 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.823 * [taylor]: Taking taylor expansion of x in x 2.826 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt (/ -1 x)) 2)) in x 2.826 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.826 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.826 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.826 * [taylor]: Taking taylor expansion of -1 in x 2.826 * [taylor]: Taking taylor expansion of x in x 2.828 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.828 * [taylor]: Taking taylor expansion of 1.0 in x 2.828 * [taylor]: Taking taylor expansion of x in x 2.911 * * * [progress]: simplifying candidates 2.915 * [simplify]: Simplifying using # : (expm1 (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (log1p (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (- (log (sqrt x))) (- (log (sqrt (- 1.0 (* x x)))) (log (sqrt x)))) (+ (- (log (sqrt x))) (log (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (+ (- 0 (log (sqrt x))) (- (log (sqrt (- 1.0 (* x x)))) (log (sqrt x)))) (+ (- 0 (log (sqrt x))) (log (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (+ (- (log 1) (log (sqrt x))) (- (log (sqrt (- 1.0 (* x x)))) (log (sqrt x)))) (+ (- (log 1) (log (sqrt x))) (log (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (+ (log (/ 1 (sqrt x))) (- (log (sqrt (- 1.0 (* x x)))) (log (sqrt x)))) (+ (log (/ 1 (sqrt x))) (log (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (log (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (exp (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (* (* 1 1) 1) (* (* (sqrt x) (sqrt x)) (sqrt x))) (/ (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (* (* (sqrt x) (sqrt x)) (sqrt x)))) (* (/ (* (* 1 1) 1) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (* (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (* (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (/ 1 (sqrt x))) (/ (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (* (* (sqrt x) (sqrt x)) (sqrt x)))) (* (* (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (/ 1 (sqrt x))) (* (* (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (cbrt (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (cbrt (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (cbrt (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (* (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* 1 (sqrt (- 1.0 (* x x)))) (* (sqrt x) (sqrt x)) (* (sqrt (/ 1 (sqrt x))) (sqrt (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (sqrt (/ 1 (sqrt x))) (sqrt (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (sqrt (/ 1 (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (sqrt (/ 1 (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (sqrt (/ 1 (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (sqrt (/ 1 (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (sqrt (/ 1 (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (sqrt (/ 1 (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (sqrt (/ 1 (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (sqrt (/ 1 (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (sqrt (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (sqrt (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (sqrt (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (sqrt (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (sqrt (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (sqrt (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (sqrt (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (sqrt (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x)))) (* (/ 1 (sqrt x)) (* (cbrt (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (cbrt (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ 1 (sqrt x)) (sqrt (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (* (/ 1 (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt (* (cbrt x) (cbrt x))))) (* (/ 1 (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt (sqrt x)))) (* (/ 1 (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt 1))) (* (/ 1 (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt (sqrt x)))) (* (/ 1 (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 1)) (* (/ 1 (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (* (/ 1 (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (* (cbrt x) (cbrt x))))) (* (/ 1 (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (sqrt x)))) (* (/ 1 (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt 1))) (* (/ 1 (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (sqrt x)))) (* (/ 1 (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 1)) (* (/ 1 (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (* (/ 1 (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (* 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