11.724 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.031 * * [simplify]: iteration 0 : 71 enodes (cost 7 ) 0.031 * * [simplify]: iteration 1 : 71 enodes (cost 7 ) 0.031 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.055 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.059 * * * [progress]: generating series expansions 0.059 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.059 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.059 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.059 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.059 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.059 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.059 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.060 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.060 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.061 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.061 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.061 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.061 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.065 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.065 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.065 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.065 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.065 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.065 * [taylor]: Taking taylor expansion of -1 in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.065 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.065 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.066 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.066 * [taylor]: Taking taylor expansion of -1 in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.069 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.069 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.069 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.069 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.070 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.070 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.071 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.071 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.072 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.073 * * * [progress]: simplifying candidates 0.073 * [simplify]: Simplifying using # : (/ (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (* (* (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (neg (sqrt x)) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (+ (* x NAN) (* (pow x 2) (pow NAN 3))))) (- (+ (* 1.0 (/ NAN x)) (+ (* 6.0 (/ (pow NAN 5) (pow x 3))) (/ (pow NAN 5) (pow x 2)))) (+ (* 1.0 (/ (pow NAN 3) (pow x 3))) (+ (* 2.0 (/ (pow NAN 3) (pow x 2))) (+ (* 2 (/ (pow NAN 3) x)) (* 6 (/ (pow NAN 7) (pow x 3))))))) (- (+ (* 1.0 (/ (pow NAN 3) (pow x 3))) (+ (* 2 (/ (pow NAN 3) x)) (+ (* 6 (/ (pow NAN 7) (pow x 3))) (/ (pow NAN 5) (pow x 2))))) (+ (* 1.0 (/ NAN x)) (+ (* 6.0 (/ (pow NAN 5) (pow x 3))) (* 2.0 (/ (pow NAN 3) (pow x 2)))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 1.0 (/ NAN x)) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (/ (pow NAN 3) x) (* 2.0 (/ (pow NAN 3) (pow x 2))))) (- (+ (/ (pow NAN 3) x) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (* 1.0 (/ NAN x)) (* 2.0 (/ (pow NAN 3) (pow x 2))))) 0.123 * * [simplify]: iteration 0 : 4975 enodes (cost 520 ) 0.123 * * [simplify]: iteration 1 : 4975 enodes (cost 520 ) 0.126 * [simplify]: Simplified to: (exp (- (sqrt (+ x 1.0)) (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (pow (- (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow x 3/2)) (+ (+ x 1.0) (+ x (* (sqrt (+ x 1.0)) (sqrt x)))) (neg (sqrt x)) 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (* 1.0 (- 1.0 x)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* 1/8 (/ (* x x) (* 1.0 (sqrt 1.0)))) (* x (+ NAN (* x (pow NAN 3)))))) (+ (* (+ (/ 6.0 x) 1) (/ (pow NAN 5) (* x x))) (- (* 1.0 (- (/ NAN x) (pow (/ NAN x) 3))) (+ (* 6 (/ (pow NAN 7) (pow x 3))) (* (/ (pow NAN 3) x) (+ (/ 2.0 x) 2))))) (+ (+ (/ (pow NAN 5) (* x x)) (* 6 (/ (pow NAN 7) (pow x 3)))) (- (* (/ (pow NAN 3) x) (+ (/ 1.0 (* x x)) 2)) (+ (* 1.0 (/ NAN x)) (+ (* 6.0 (/ (pow NAN 5) (pow x 3))) (* 2.0 (/ (pow NAN 3) (* x x))))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (* x x) (* 1.0 (sqrt 1.0))))) (- (+ (* 1.0 (/ NAN x)) (+ NAN (* 2 (/ (pow NAN 5) (* x x))))) (* (+ (/ 2.0 x) 1) (/ (pow NAN 3) x))) (- (+ (/ (pow NAN 3) x) (+ NAN (* 2 (/ (pow NAN 5) (* x x))))) (+ (* 1.0 (/ NAN x)) (* 2.0 (/ (pow NAN 3) (* x x))))) 0.126 * * * [progress]: adding candidates to table 0.202 * * [progress]: iteration 2 / 4 0.202 * * * [progress]: picking best candidate 0.212 * * * * [pick]: Picked # 0.212 * * * [progress]: localizing error 0.218 * * * [progress]: generating rewritten candidates 0.218 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.228 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.235 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.241 * * * [progress]: generating series expansions 0.241 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.241 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.241 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.241 * [taylor]: Taking taylor expansion of 1.0 in x 0.241 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.241 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.241 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of 1.0 in x 0.241 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.241 * [taylor]: Taking taylor expansion of 1.0 in x 0.241 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.241 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.241 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of 1.0 in x 0.242 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.245 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.245 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.245 * [taylor]: Taking taylor expansion of 1.0 in x 0.245 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.245 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.246 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.246 * [taylor]: Taking taylor expansion of 1.0 in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.246 * [taylor]: Taking taylor expansion of 1.0 in x 0.246 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.246 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.246 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.246 * [taylor]: Taking taylor expansion of 1.0 in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.248 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.248 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.248 * [taylor]: Taking taylor expansion of 1.0 in x 0.248 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.248 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.248 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.248 * [taylor]: Taking taylor expansion of -1 in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.248 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.248 * [taylor]: Taking taylor expansion of 1.0 in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.248 * [taylor]: Taking taylor expansion of 1.0 in x 0.248 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.248 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.248 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.248 * [taylor]: Taking taylor expansion of -1 in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.249 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.249 * [taylor]: Taking taylor expansion of 1.0 in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.251 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.251 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.251 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.251 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.251 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of 1.0 in x 0.251 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.251 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.251 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of 1.0 in x 0.251 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.252 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.252 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.252 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.252 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.252 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.253 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.253 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.253 * [taylor]: Taking taylor expansion of 1.0 in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.254 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.254 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.254 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.254 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.254 * [taylor]: Taking taylor expansion of -1 in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.254 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.254 * [taylor]: Taking taylor expansion of 1.0 in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.255 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.255 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.255 * [taylor]: Taking taylor expansion of -1 in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.255 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.255 * [taylor]: Taking taylor expansion of 1.0 in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.256 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.256 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.256 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.256 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.257 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.257 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.257 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.257 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.257 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.257 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.259 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.259 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.259 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.259 * [taylor]: Taking taylor expansion of 1.0 in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.259 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.259 * [taylor]: Taking taylor expansion of 1.0 in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.260 * * * [progress]: simplifying candidates 0.261 * [simplify]: Simplifying using # : (- (log 1.0) (log (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (* 1.0 1.0) 1.0) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (neg 1.0) (neg (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 1) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt 1)) (/ 1.0 1) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (/ 1.0 (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (* (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5))) (+ (* 1.0 (/ 1 (sqrt 1.0))) (+ (* 1.0 (/ (* (pow x 2) (pow NAN 2)) (pow (sqrt 1.0) 3))) (* 1.0 (/ (* (pow x 2) NAN) (pow (sqrt 1.0) 4)))))) (+ (* 1.0 (/ (* x NAN) (pow (sqrt 1.0) 2))) (+ (* 1.0 (/ (* (pow x 2) (pow NAN 3)) (pow (sqrt 1.0) 2))) (* 0.5 (/ x (pow (sqrt 1.0) 3)))))) (- (+ (* 0.125 (/ 1 (* (pow x 2) NAN))) (+ (* 0.5 (/ NAN (pow x 2))) (* 0.5 (/ 1 NAN)))) (+ (* 0.75 (/ (pow NAN 3) (pow x 2))) (* 0.25 (/ 1 (* x NAN))))) (- (+ (* 0.125 (/ 1 (* (pow x 2) NAN))) (+ (* 0.5 (/ NAN (pow x 2))) (+ (* 0.25 (/ 1 (* x NAN))) (* 0.5 (/ 1 NAN))))) (* 0.75 (/ (pow NAN 3) (pow x 2)))) (- (+ (sqrt 1.0) (+ (* x NAN) (+ (* 1/2 (/ x (sqrt 1.0))) (* (pow x 2) (pow NAN 3))))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 1.0 (/ NAN x)) (+ (* 2 NAN) (* 3 (/ (pow NAN 5) (pow x 2))))) (* 2.0 (/ (pow NAN 3) (pow x 2)))) (- (+ (* 2 NAN) (* 3 (/ (pow NAN 5) (pow x 2)))) (+ (* 1.0 (/ NAN x)) (* 2.0 (/ (pow NAN 3) (pow x 2))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 1.0 (/ NAN x)) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (/ (pow NAN 3) x) (* 2.0 (/ (pow NAN 3) (pow x 2))))) (- (+ (/ (pow NAN 3) x) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (* 1.0 (/ NAN x)) (* 2.0 (/ (pow NAN 3) (pow x 2))))) 0.283 * * [simplify]: iteration 0 : 5038 enodes (cost 1051 ) 0.287 * [simplify]: Simplified to: (log (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (pow (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 3) (* (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (pow (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 3) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (neg 1.0) (neg (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 1.0 1.0 1.0 1.0 (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) 1.0) (/ 1.0 (+ (pow (sqrt (+ 1.0 x)) 3) (* x (sqrt x)))) (/ 1.0 (+ 1.0 0)) (exp (+ (sqrt (+ 1.0 x)) (sqrt x))) (log (+ (sqrt (+ 1.0 x)) (sqrt x))) (exp (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (pow (+ (sqrt (+ 1.0 x)) (sqrt x)) 3) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ (pow (sqrt (+ 1.0 x)) 3) (* x (sqrt x))) (+ (+ 1.0 x) (- x (* (sqrt (+ 1.0 x)) (sqrt x)))) (+ 1.0 0) (- (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (pow (sqrt (+ 1.0 x)) 3) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (* x (- x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (- (* 1.0 (- (+ (/ 1 (sqrt 1.0)) (* (/ (* x x) 1.0) (+ (/ (* NAN NAN) (sqrt 1.0)) (/ NAN 1.0)))) (+ (/ (* x NAN) 1.0) (/ (* (* x x) (pow NAN 3)) 1.0)))) (- (* 0.5 (/ x (* 1.0 (sqrt 1.0)))) (* 0.375 (/ (* x x) (pow (sqrt 1.0) 5))))) (- (+ (/ 0.125 (* (* x x) NAN)) (+ (* 0.5 (/ NAN (* x x))) (/ 0.5 NAN))) (+ (* 0.75 (/ (pow NAN 3) (* x x))) (/ 0.25 (* x NAN)))) (- (+ (/ 0.125 (* (* x x) NAN)) (+ (* 0.5 (/ NAN (* x x))) (+ (/ 0.5 NAN) (/ 0.25 (* x NAN))))) (* 0.75 (/ (pow NAN 3) (* x x)))) (+ (* 1/2 (/ x (sqrt 1.0))) (+ (* x (+ (* x (pow NAN 3)) NAN)) (- (sqrt 1.0) (* 1/8 (/ (* x x) (* 1.0 (sqrt 1.0))))))) (- (+ (* 1.0 (/ NAN x)) (+ (* 2 NAN) (* 3 (/ (pow NAN 5) (* x x))))) (* (/ (pow NAN 3) (* x x)) 2.0)) (- (+ (* 2 NAN) (* 3 (/ (pow NAN 5) (* x x)))) (+ (* 1.0 (/ NAN x)) (* (/ (pow NAN 3) (* x x)) 2.0))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (* x x) (* 1.0 (sqrt 1.0))))) (- (+ (* 1.0 (/ NAN x)) (+ NAN (* 2 (/ (pow NAN 5) (* x x))))) (* (+ (/ 2.0 x) 1) (/ (pow NAN 3) x))) (- (+ (+ NAN (* 2 (/ (pow NAN 5) (* x x)))) (/ (pow NAN 3) x)) (+ (* 1.0 (/ NAN x)) (* (/ (pow NAN 3) (* x x)) 2.0))) 0.288 * * * [progress]: adding candidates to table 0.437 * * [progress]: iteration 3 / 4 0.437 * * * [progress]: picking best candidate 0.466 * * * * [pick]: Picked # 0.466 * * * [progress]: localizing error 0.476 * * * [progress]: generating rewritten candidates 0.476 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.511 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.520 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.530 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.558 * * * [progress]: generating series expansions 0.558 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.559 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.559 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.559 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.559 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.559 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.559 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.559 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.559 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.559 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.559 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.562 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 0.562 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.562 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.562 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.562 * [taylor]: Taking taylor expansion of 1.0 in x 0.562 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.562 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.562 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of 1.0 in x 0.563 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.563 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.563 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.563 * [taylor]: Taking taylor expansion of 1.0 in x 0.563 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.563 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of 1.0 in x 0.567 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.567 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.567 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.567 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.567 * [taylor]: Taking taylor expansion of 1.0 in x 0.567 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.567 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.567 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.567 * [taylor]: Taking taylor expansion of -1 in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.567 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.567 * [taylor]: Taking taylor expansion of 1.0 in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.567 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.567 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.567 * [taylor]: Taking taylor expansion of 1.0 in x 0.568 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.568 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.568 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.568 * [taylor]: Taking taylor expansion of -1 in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.568 * [taylor]: Taking taylor expansion of 1.0 in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.571 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.571 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.571 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.571 * [taylor]: Taking taylor expansion of 1.0 in x 0.571 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.571 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.571 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of 1.0 in x 0.572 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.572 * [taylor]: Taking taylor expansion of 1.0 in x 0.572 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.572 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.572 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of 1.0 in x 0.572 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.575 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 0.575 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.575 * [taylor]: Taking taylor expansion of 1.0 in x 0.575 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.575 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.575 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of 1.0 in x 0.576 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.576 * [taylor]: Taking taylor expansion of 1.0 in x 0.576 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.576 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.576 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of 1.0 in x 0.578 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.578 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.578 * [taylor]: Taking taylor expansion of 1.0 in x 0.578 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.578 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.578 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.578 * [taylor]: Taking taylor expansion of -1 in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.578 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.578 * [taylor]: Taking taylor expansion of 1.0 in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.578 * [taylor]: Taking taylor expansion of 1.0 in x 0.578 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.579 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.579 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.579 * [taylor]: Taking taylor expansion of -1 in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.579 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.579 * [taylor]: Taking taylor expansion of 1.0 in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.581 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.581 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.581 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.581 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.581 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.581 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.581 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.585 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 0.585 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.585 * [taylor]: Taking taylor expansion of 1.0 in x 0.585 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.585 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.585 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of 1.0 in x 0.585 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.585 * [taylor]: Taking taylor expansion of 1.0 in x 0.585 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.585 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.585 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of 1.0 in x 0.588 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.588 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.588 * [taylor]: Taking taylor expansion of 1.0 in x 0.588 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.588 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.588 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.588 * [taylor]: Taking taylor expansion of -1 in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.588 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.588 * [taylor]: Taking taylor expansion of 1.0 in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.588 * [taylor]: Taking taylor expansion of 1.0 in x 0.588 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.588 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.588 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.588 * [taylor]: Taking taylor expansion of -1 in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.588 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.588 * [taylor]: Taking taylor expansion of 1.0 in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.590 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.590 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in (x) around 0 0.590 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 0.590 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.591 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.591 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.591 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.591 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 0.591 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.591 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.591 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.591 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.592 * [taylor]: Taking taylor expansion of 1.0 in x 0.598 * [approximate]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in (x) around 0 0.598 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 0.598 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.598 * [taylor]: Taking taylor expansion of 1.0 in x 0.598 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.598 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.598 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of 1.0 in x 0.599 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 0.599 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.599 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.599 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.599 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.599 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.605 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 0.605 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 0.605 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.605 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.605 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.605 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.605 * [taylor]: Taking taylor expansion of -1 in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.605 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.605 * [taylor]: Taking taylor expansion of 1.0 in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.606 * [taylor]: Taking taylor expansion of 1.0 in x 0.606 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 0.606 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 0.606 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.606 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.606 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.606 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.606 * [taylor]: Taking taylor expansion of -1 in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.606 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.606 * [taylor]: Taking taylor expansion of 1.0 in x 0.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.607 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * * * [progress]: simplifying candidates 0.620 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (+ 1 1) (+ (log (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (log (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (log (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (exp (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (* (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (cbrt (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (cbrt (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))))) (cbrt (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (* (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (* (cbrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (cbrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))))) (* (cbrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (* (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (* (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))))) (* (sqrt (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))))) (* (sqrt (/ (cbrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ (cbrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (/ (cbrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) 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NAN NAN) (/ NAN (sqrt 1.0)))))) (+ (* 0.5 (/ x (* 1.0 (sqrt 1.0)))) (* 1.0 (+ (/ x (/ 1.0 NAN)) (/ (* (* x x) (pow NAN 3)) 1.0))))) (- (+ (/ 0.125 (* (* x x) NAN)) (+ (* 0.5 (/ NAN (* x x))) (/ 0.5 NAN))) (+ (* 0.75 (/ (pow NAN 3) (* x x))) (/ 0.25 (* x NAN)))) (- (+ (/ 0.125 (* (* x x) NAN)) (+ (* 0.5 (/ NAN (* x x))) (+ (/ 0.5 NAN) (/ 0.25 (* x NAN))))) (* 0.75 (/ (pow NAN 3) (* x x)))) (- (+ (* 0.375 (/ (* x x) (pow (sqrt 1.0) 5))) (+ (sqrt 1.0) (* (/ (* x x) (sqrt 1.0)) (+ (* NAN NAN) (/ NAN (sqrt 1.0)))))) (+ (* 0.5 (/ x (* 1.0 (sqrt 1.0)))) (* 1.0 (+ (/ x (/ 1.0 NAN)) (/ (* (* x x) (pow NAN 3)) 1.0))))) (- (+ (/ 0.125 (* (* x x) NAN)) (+ (* 0.5 (/ NAN (* x x))) (/ 0.5 NAN))) (+ (* 0.75 (/ (pow NAN 3) (* x x))) (/ 0.25 (* x NAN)))) (- (+ (/ 0.125 (* (* x x) NAN)) (+ (* 0.5 (/ NAN (* x x))) (+ (/ 0.5 NAN) (/ 0.25 (* x NAN))))) (* 0.75 (/ (pow NAN 3) (* x x)))) (+ (sqrt (sqrt 1.0)) (+ (* (* x x) (+ (* (sqrt (/ 1 (pow (sqrt 1.0) 7))) 5/32) (* (* NAN (sqrt (/ 1 (pow (sqrt 1.0) 5)))) 3/8))) (+ (* (sqrt (/ 1 (* 1.0 (sqrt 1.0)))) (- (* (* (* x x) (* NAN NAN)) 3/8) (* x 1/4))) (* (* (sqrt (/ 1 (sqrt 1.0))) (* x (+ NAN (* x (pow NAN 3))))) -1/2)))) (- (+ (* (sqrt (/ 1 NAN)) (* (sqrt 1.0) (sqrt 1/2))) (* (/ (sqrt 1.0) (* (* x x) (sqrt 1/2))) (+ (* (sqrt (/ 1 NAN)) 0.0625) (* (sqrt (pow NAN 3)) 0.25)))) (+ (* 3/8 (* (/ (sqrt 1.0) (* (* x x) (sqrt 1/2))) (sqrt (pow NAN 7)))) (* (sqrt (/ 1 NAN)) (+ (* 0.0078125 (/ (sqrt 1.0) (* 1/2 (* (* x x) (sqrt 1/2))))) (* 0.125 (/ (sqrt 1.0) (* x (sqrt 1/2)))))))) (- (+ (* (/ (sqrt 1.0) (* (* x x) (sqrt 1/2))) (+ (* (sqrt (/ 1 NAN)) 0.0625) (* (sqrt (pow NAN 3)) 0.25))) (* (sqrt (/ 1 NAN)) (+ (* 0.125 (/ (sqrt 1.0) (* x (sqrt 1/2)))) (* (sqrt 1.0) (sqrt 1/2))))) (+ (* 0.0078125 (* (sqrt (/ 1 NAN)) (/ (sqrt 1.0) (* 1/2 (* (* x x) (sqrt 1/2)))))) (* 3/8 (* (/ (sqrt 1.0) (* (* x x) (sqrt 1/2))) (sqrt (pow NAN 7)))))) 0.702 * * * [progress]: adding candidates to table 1.474 * * [progress]: iteration 4 / 4 1.474 * * * [progress]: picking best candidate 1.504 * * * * [pick]: Picked # 1.504 * * * [progress]: localizing error 1.514 * * * [progress]: generating rewritten candidates 1.514 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.537 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.557 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 1.565 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.579 * * * [progress]: generating series expansions 1.579 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.579 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 1.579 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.579 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.579 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.579 * [taylor]: Taking taylor expansion of x in x 1.579 * [taylor]: Taking taylor expansion of 1.0 in x 1.579 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.579 * [taylor]: Taking taylor expansion of x in x 1.579 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.579 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.580 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.580 * [taylor]: Taking taylor expansion of x in x 1.580 * [taylor]: Taking taylor expansion of 1.0 in x 1.580 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.580 * [taylor]: Taking taylor expansion of x in x 1.581 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 1.581 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.581 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.581 * [taylor]: Taking taylor expansion of x in x 1.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.581 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.582 * [taylor]: Taking taylor expansion of 1.0 in x 1.582 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.582 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.582 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.582 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.582 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.582 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.582 * [taylor]: Taking taylor expansion of 1.0 in x 1.583 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 1.584 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.584 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.584 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.584 * [taylor]: Taking taylor expansion of -1 in x 1.584 * [taylor]: Taking taylor expansion of x in x 1.584 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.584 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.584 * [taylor]: Taking taylor expansion of 1.0 in x 1.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.584 * [taylor]: Taking taylor expansion of x in x 1.584 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.584 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.584 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.584 * [taylor]: Taking taylor expansion of -1 in x 1.584 * [taylor]: Taking taylor expansion of x in x 1.584 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.584 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.584 * [taylor]: Taking taylor expansion of 1.0 in x 1.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.584 * [taylor]: Taking taylor expansion of x in x 1.586 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.586 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.586 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.586 * [taylor]: Taking taylor expansion of 1.0 in x 1.586 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.586 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.586 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.586 * [taylor]: Taking taylor expansion of x in x 1.586 * [taylor]: Taking taylor expansion of 1.0 in x 1.586 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.586 * [taylor]: Taking taylor expansion of x in x 1.586 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.586 * [taylor]: Taking taylor expansion of 1.0 in x 1.586 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.586 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.586 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.586 * [taylor]: Taking taylor expansion of x in x 1.586 * [taylor]: Taking taylor expansion of 1.0 in x 1.586 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.586 * [taylor]: Taking taylor expansion of x in x 1.590 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 1.590 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.590 * [taylor]: Taking taylor expansion of 1.0 in x 1.590 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.590 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.590 * [taylor]: Taking taylor expansion of x in x 1.590 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.590 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.590 * [taylor]: Taking taylor expansion of x in x 1.590 * [taylor]: Taking taylor expansion of 1.0 in x 1.590 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.590 * [taylor]: Taking taylor expansion of 1.0 in x 1.590 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.590 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.590 * [taylor]: Taking taylor expansion of x in x 1.590 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.590 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.590 * [taylor]: Taking taylor expansion of x in x 1.590 * [taylor]: Taking taylor expansion of 1.0 in x 1.593 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.593 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.593 * [taylor]: Taking taylor expansion of 1.0 in x 1.593 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.593 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.593 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.593 * [taylor]: Taking taylor expansion of -1 in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.593 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.593 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.593 * [taylor]: Taking taylor expansion of 1.0 in x 1.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.593 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.593 * [taylor]: Taking taylor expansion of 1.0 in x 1.593 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.593 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.593 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.593 * [taylor]: Taking taylor expansion of -1 in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.593 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.593 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.593 * [taylor]: Taking taylor expansion of 1.0 in x 1.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.595 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 1.596 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.596 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.596 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.596 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.596 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.596 * [taylor]: Taking taylor expansion of 1.0 in x 1.596 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.596 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.596 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.596 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.596 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.596 * [taylor]: Taking taylor expansion of 1.0 in x 1.596 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.603 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 1.603 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.603 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.603 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.603 * [taylor]: Taking taylor expansion of x in x 1.603 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.603 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.603 * [taylor]: Taking taylor expansion of x in x 1.603 * [taylor]: Taking taylor expansion of 1.0 in x 1.603 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.603 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.603 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.603 * [taylor]: Taking taylor expansion of x in x 1.604 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.604 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.604 * [taylor]: Taking taylor expansion of x in x 1.604 * [taylor]: Taking taylor expansion of 1.0 in x 1.606 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.606 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.606 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.606 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.607 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.607 * [taylor]: Taking taylor expansion of -1 in x 1.607 * [taylor]: Taking taylor expansion of x in x 1.607 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.607 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.607 * [taylor]: Taking taylor expansion of 1.0 in x 1.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.607 * [taylor]: Taking taylor expansion of x in x 1.607 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.607 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.607 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.607 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.607 * [taylor]: Taking taylor expansion of -1 in x 1.607 * [taylor]: Taking taylor expansion of x in x 1.607 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.607 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.607 * [taylor]: Taking taylor expansion of 1.0 in x 1.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.607 * [taylor]: Taking taylor expansion of x in x 1.611 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.611 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.611 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.611 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.611 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.611 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.611 * [taylor]: Taking taylor expansion of x in x 1.611 * [taylor]: Taking taylor expansion of 1.0 in x 1.611 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.611 * [taylor]: Taking taylor expansion of x in x 1.611 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.611 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.611 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.611 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.611 * [taylor]: Taking taylor expansion of x in x 1.611 * [taylor]: Taking taylor expansion of 1.0 in x 1.611 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.611 * [taylor]: Taking taylor expansion of x in x 1.614 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 1.614 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.614 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.614 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.614 * [taylor]: Taking taylor expansion of x in x 1.614 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.614 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.614 * [taylor]: Taking taylor expansion of x in x 1.614 * [taylor]: Taking taylor expansion of 1.0 in x 1.615 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.615 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.615 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.615 * [taylor]: Taking taylor expansion of x in x 1.615 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.615 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.615 * [taylor]: Taking taylor expansion of x in x 1.615 * [taylor]: Taking taylor expansion of 1.0 in x 1.618 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.618 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.618 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.618 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.618 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.618 * [taylor]: Taking taylor expansion of -1 in x 1.618 * [taylor]: Taking taylor expansion of x in x 1.618 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.618 * [taylor]: Taking taylor expansion of 1.0 in x 1.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.618 * [taylor]: Taking taylor expansion of x in x 1.619 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.619 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.619 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.619 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.619 * [taylor]: Taking taylor expansion of -1 in x 1.619 * [taylor]: Taking taylor expansion of x in x 1.619 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.619 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.619 * [taylor]: Taking taylor expansion of 1.0 in x 1.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.619 * [taylor]: Taking taylor expansion of x in x 1.622 * * * [progress]: simplifying candidates 1.624 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ 1 1) (+ (log (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (log (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (exp (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (* (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (cbrt (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (cbrt (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (* (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3))) (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3)))) (* (sqrt (+ (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3))) (sqrt (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x))))) (* (sqrt (+ (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (- (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x)))) (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3)))) (* (sqrt (- (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x)))) (sqrt (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x))))) (* (sqrt (- (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (- (sqrt (+ 1.0 x)) (sqrt x)))) (* (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* 1 1) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt 1)) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (sqrt 1))) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (sqrt 1))) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt 1)) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) 1) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (sqrt 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