11.232 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.027 * * [simplify]: iteration 0 : 7 enodes (cost 7 ) 0.027 * * [simplify]: iteration 1 : 7 enodes (cost 7 ) 0.028 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.028 * * [progress]: iteration 1 / 4 0.028 * * * [progress]: picking best candidate 0.030 * * * * [pick]: Picked # 0.030 * * * [progress]: localizing error 0.035 * * * [progress]: generating rewritten candidates 0.035 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.043 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.047 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.047 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.047 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.047 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.048 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.048 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.048 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.048 * [taylor]: Taking taylor expansion of 1.0 in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.048 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.048 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.052 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.052 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.052 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.052 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.053 * [taylor]: Taking taylor expansion of 1.0 in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.053 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.053 * [taylor]: Taking taylor expansion of -1 in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.053 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.053 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.053 * [taylor]: Taking taylor expansion of 1.0 in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.053 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.053 * [taylor]: Taking taylor expansion of -1 in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.056 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.056 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.057 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.057 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.057 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.057 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.057 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.057 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.059 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.059 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.059 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.059 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.060 * * * [progress]: simplifying candidates 0.061 * [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))))) 0.097 * * [simplify]: iteration 0 : 5374 enodes (cost 504 ) 0.100 * [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 (+ x (+ (* (sqrt (+ x 1.0)) (sqrt x)) 1.0))) (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) (- (* (/ x (sqrt 1.0)) (- 1/2 (* (/ x 1.0) 1/8))) (* x (+ NAN (* x (pow NAN 3)))))) (+ (* 1.0 (/ NAN x)) (- (* (+ (/ 6.0 x) 1) (/ (pow NAN 5) (* x x))) (+ (* 6 (/ (pow NAN 7) (pow x 3))) (* (/ (pow NAN 3) x) (+ (/ 1.0 (* x x)) (+ (/ 2.0 x) 2)))))) (+ (/ (pow NAN 5) (* x x)) (+ (* 6 (/ (pow NAN 7) (pow x 3))) (+ (- (* (/ (pow NAN 3) x) (- 2 (/ 2.0 x))) (+ (* 1.0 (/ NAN x)) (* 6.0 (/ (pow NAN 5) (pow x 3))))) (* 1.0 (pow (/ NAN x) 3))))) (+ (sqrt 1.0) (* (/ x (sqrt 1.0)) (- 1/2 (* (/ x 1.0) 1/8)))) (+ NAN (+ (* 1.0 (/ NAN x)) (- (* 2 (/ (pow NAN 5) (* x x))) (* (+ (/ 2.0 x) 1) (/ (pow NAN 3) x))))) (+ NAN (+ (/ (pow NAN 3) x) (- (* 2 (/ (pow NAN 5) (* x x))) (* (/ NAN x) (+ 1.0 (* (/ NAN (/ x NAN)) 2.0)))))) 0.100 * * * [progress]: adding candidates to table 0.160 * * [progress]: iteration 2 / 4 0.160 * * * [progress]: picking best candidate 0.169 * * * * [pick]: Picked # 0.170 * * * [progress]: localizing error 0.176 * * * [progress]: generating rewritten candidates 0.176 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.185 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.192 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.197 * * * [progress]: generating series expansions 0.197 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.197 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.197 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.197 * [taylor]: Taking taylor expansion of 1.0 in x 0.197 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.197 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.197 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of 1.0 in x 0.197 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.197 * [taylor]: Taking taylor expansion of 1.0 in x 0.197 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.197 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.197 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of 1.0 in x 0.197 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.201 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.201 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.201 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.201 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.201 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.201 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.203 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.203 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.203 * [taylor]: Taking taylor expansion of 1.0 in x 0.203 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.203 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.203 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.203 * [taylor]: Taking taylor expansion of -1 in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.203 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.203 * [taylor]: Taking taylor expansion of 1.0 in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.204 * [taylor]: Taking taylor expansion of 1.0 in x 0.204 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.204 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.204 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.204 * [taylor]: Taking taylor expansion of -1 in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.204 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.204 * [taylor]: Taking taylor expansion of 1.0 in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.206 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.206 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.206 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.206 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.206 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of 1.0 in x 0.206 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.206 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.206 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of 1.0 in x 0.206 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.207 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.207 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.207 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.207 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.207 * [taylor]: Taking taylor expansion of 1.0 in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.208 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.208 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.208 * [taylor]: Taking taylor expansion of 1.0 in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.209 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.209 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.209 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.209 * [taylor]: Taking taylor expansion of -1 in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.209 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.209 * [taylor]: Taking taylor expansion of 1.0 in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.209 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.210 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.210 * [taylor]: Taking taylor expansion of -1 in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.210 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.210 * [taylor]: Taking taylor expansion of 1.0 in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.211 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.211 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.211 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.211 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of 1.0 in x 0.211 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.211 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of 1.0 in x 0.212 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.212 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.212 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.212 * [taylor]: Taking taylor expansion of 1.0 in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.212 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.212 * [taylor]: Taking taylor expansion of 1.0 in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.213 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.213 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.213 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of 1.0 in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.213 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of 1.0 in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.215 * * * [progress]: simplifying candidates 0.216 * [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))))) 0.235 * * [simplify]: iteration 0 : 5251 enodes (cost 1049 ) 0.239 * [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 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (/ (cbrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt 1.0)) (/ (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 (+ (* x x) (* 1.0 (- 1.0 x)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (+ (* 0.375 (/ x (/ (pow (sqrt 1.0) 5) x))) (+ (/ 1.0 (sqrt 1.0)) (+ (/ x (/ (sqrt 1.0) (* x (* NAN NAN)))) (- (* NAN (/ x (/ 1.0 x))) (+ (* x NAN) (+ (/ (* x (* x (pow NAN 3))) 1) (* 0.5 (/ x (* 1.0 (sqrt 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 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) (- (* x (+ (* x (pow NAN 3)) NAN)) (* (/ x (sqrt 1.0)) (* (/ x 1.0) 1/8))))) (+ (* 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))) (* (/ x (sqrt 1.0)) (* (/ x 1.0) 1/8)))) (+ NAN (+ (* 2 (/ (pow NAN 5) (* x x))) (- (* 1.0 (/ NAN 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))))) 0.240 * * * [progress]: adding candidates to table 0.358 * * [progress]: iteration 3 / 4 0.358 * * * [progress]: picking best candidate 0.382 * * * * [pick]: Picked # 0.382 * * * [progress]: localizing error 0.392 * * * [progress]: generating rewritten candidates 0.392 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.428 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.437 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.446 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.470 * * * [progress]: generating series expansions 0.470 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.470 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.470 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.471 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.471 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.471 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.471 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.471 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.471 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.471 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.471 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.474 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 0.474 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.474 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.474 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.474 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.474 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.474 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.474 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.478 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.478 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.478 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.478 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.478 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.478 * [taylor]: Taking taylor expansion of -1 in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.478 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.478 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.478 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.479 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.479 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.479 * [taylor]: Taking taylor expansion of -1 in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.479 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.479 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.486 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.486 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.486 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.486 * [taylor]: Taking taylor expansion of 1.0 in x 0.486 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.486 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.486 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of 1.0 in x 0.486 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.487 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.487 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.490 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 0.490 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.490 * [taylor]: Taking taylor expansion of 1.0 in x 0.490 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.490 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of 1.0 in x 0.491 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.491 * [taylor]: Taking taylor expansion of 1.0 in x 0.491 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.491 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of 1.0 in x 0.493 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.493 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.493 * [taylor]: Taking taylor expansion of 1.0 in x 0.493 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.493 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.493 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.493 * [taylor]: Taking taylor expansion of -1 in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.493 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.493 * [taylor]: Taking taylor expansion of 1.0 in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.493 * [taylor]: Taking taylor expansion of 1.0 in x 0.493 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.493 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.493 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.493 * [taylor]: Taking taylor expansion of -1 in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.493 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.493 * [taylor]: Taking taylor expansion of 1.0 in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.495 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.495 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.495 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.495 * [taylor]: Taking taylor expansion of 1.0 in x 0.495 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.495 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.496 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.496 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.496 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.499 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 0.499 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.499 * [taylor]: Taking taylor expansion of 1.0 in x 0.499 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.499 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of 1.0 in x 0.499 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.499 * [taylor]: Taking taylor expansion of 1.0 in x 0.499 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.500 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.502 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.502 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.502 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.502 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.502 * [taylor]: Taking taylor expansion of -1 in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.502 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.502 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.502 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.502 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.502 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.502 * [taylor]: Taking taylor expansion of -1 in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.502 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.502 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.504 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.504 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 0.504 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.504 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.504 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.504 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.505 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.505 * [taylor]: Taking taylor expansion of 1.0 in x 0.505 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 0.505 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.505 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.505 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.505 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of 1.0 in x 0.505 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [approximate]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in (x) around 0 0.511 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 0.511 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.511 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.511 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.511 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 0.512 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.512 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.512 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.517 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 0.517 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 0.517 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.517 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.517 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.517 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.517 * [taylor]: Taking taylor expansion of -1 in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.517 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 0.518 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.518 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.518 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.518 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.518 * [taylor]: Taking taylor expansion of -1 in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.518 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.523 * * * [progress]: simplifying candidates 0.528 * [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))))) (sqrt (/ (cbrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) 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(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)) (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 (+ 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(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)) (log (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (exp (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (cbrt (sqrt (/ 1.0 (+ (sqrt (+ 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1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt 1.0)) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt 1.0)) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt 1.0)) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt 1.0)) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1 (* (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 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) 1 (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) 1 (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) 1 (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) 1 (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) 1 (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (pow 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(/ 1.0 x)) (pow NAN 3)))))))) (+ (/ 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 1.0) (+ (* (/ (* x x) (sqrt 1.0)) (+ (* NAN NAN) (/ NAN (sqrt 1.0)))) (- (* 0.375 (/ x (/ (pow (sqrt 1.0) 5) x))) (+ (* 0.5 (/ x (* 1.0 (sqrt 1.0)))) (* 1.0 (+ (* (/ x 1.0) NAN) (* (/ x (/ 1.0 x)) (pow NAN 3)))))))) (+ (/ 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))) (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (* x (+ NAN (* x (pow NAN 3))))))))) (+ (* (sqrt 1.0) (* (sqrt 1/2) (sqrt (/ 1 NAN)))) (- (* (/ (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))) (+ (* 0.125 (* (sqrt (/ 1 NAN)) (/ (sqrt 1.0) (* x (sqrt 1/2))))) (- (* (sqrt (/ 1 NAN)) (- (* (sqrt 1.0) (sqrt 1/2)) (* 0.0078125 (/ (sqrt 1.0) (* 1/2 (* x (* x (sqrt 1/2)))))))) (* 3/8 (* (/ (sqrt 1.0) (* x (* x (sqrt 1/2)))) (sqrt (pow NAN 7))))))) 0.579 * * * [progress]: adding candidates to table 0.991 * * [progress]: iteration 4 / 4 0.991 * * * [progress]: picking best candidate 1.017 * * * * [pick]: Picked # 1.017 * * * [progress]: localizing error 1.029 * * * [progress]: generating rewritten candidates 1.029 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.051 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.063 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.072 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.084 * * * [progress]: generating series expansions 1.084 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.085 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.085 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.085 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.085 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.085 * [taylor]: Taking taylor expansion of 1.0 in x 1.085 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.085 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.085 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [taylor]: Taking taylor expansion of 1.0 in x 1.085 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.085 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.085 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.085 * [taylor]: Taking taylor expansion of 1.0 in x 1.085 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.085 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.085 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [taylor]: Taking taylor expansion of 1.0 in x 1.085 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.088 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 1.088 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.088 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.088 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.088 * [taylor]: Taking taylor expansion of 1.0 in x 1.088 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.088 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.088 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of 1.0 in x 1.088 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.088 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.088 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.088 * [taylor]: Taking taylor expansion of 1.0 in x 1.088 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.088 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.089 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of 1.0 in x 1.092 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.092 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.092 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.092 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.092 * [taylor]: Taking taylor expansion of 1.0 in x 1.092 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.092 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.092 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.092 * [taylor]: Taking taylor expansion of -1 in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.092 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.092 * [taylor]: Taking taylor expansion of 1.0 in x 1.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.093 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.093 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.093 * [taylor]: Taking taylor expansion of 1.0 in x 1.093 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.093 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.093 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.093 * [taylor]: Taking taylor expansion of -1 in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.093 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.093 * [taylor]: Taking taylor expansion of 1.0 in x 1.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.096 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.096 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.096 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.096 * [taylor]: Taking taylor expansion of 1.0 in x 1.096 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.096 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.096 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.096 * [taylor]: Taking taylor expansion of 1.0 in x 1.096 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.097 * [taylor]: Taking taylor expansion of 1.0 in x 1.097 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.097 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.097 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of 1.0 in x 1.097 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.100 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 1.100 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.100 * [taylor]: Taking taylor expansion of 1.0 in x 1.100 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.100 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.100 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.100 * [taylor]: Taking taylor expansion of 1.0 in x 1.100 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.100 * [taylor]: Taking taylor expansion of 1.0 in x 1.100 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.100 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.100 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.101 * [taylor]: Taking taylor expansion of 1.0 in x 1.103 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.103 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.103 * [taylor]: Taking taylor expansion of 1.0 in x 1.103 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.103 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.103 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.103 * [taylor]: Taking taylor expansion of -1 in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.103 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.103 * [taylor]: Taking taylor expansion of 1.0 in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.103 * [taylor]: Taking taylor expansion of 1.0 in x 1.103 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.103 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.103 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.103 * [taylor]: Taking taylor expansion of -1 in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.103 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.103 * [taylor]: Taking taylor expansion of 1.0 in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.105 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.105 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in (x) around 0 1.105 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 1.105 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.105 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.105 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.105 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of 1.0 in x 1.106 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.106 * [taylor]: Taking taylor expansion of 1.0 in x 1.106 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 1.106 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.106 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.106 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.106 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [taylor]: Taking taylor expansion of 1.0 in x 1.106 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.107 * [taylor]: Taking taylor expansion of 1.0 in x 1.112 * [approximate]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in (x) around 0 1.112 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 1.112 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.112 * [taylor]: Taking taylor expansion of 1.0 in x 1.113 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 1.113 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.113 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.113 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.113 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.113 * [taylor]: Taking taylor expansion of 1.0 in x 1.113 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 1.113 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.113 * [taylor]: Taking taylor expansion of 1.0 in x 1.113 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 1.113 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.113 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.113 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.114 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of 1.0 in x 1.119 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 1.119 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 1.119 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.119 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.119 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.119 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.119 * [taylor]: Taking taylor expansion of -1 in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.119 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.119 * [taylor]: Taking taylor expansion of 1.0 in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 1.120 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.120 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.120 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.120 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.120 * [taylor]: Taking taylor expansion of -1 in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.120 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.121 * [taylor]: Taking taylor expansion of 1.0 in x 1.125 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.125 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.125 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.125 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.125 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.125 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.125 * [taylor]: Taking taylor expansion of 1.0 in x 1.125 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.125 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.125 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.125 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.125 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.125 * [taylor]: Taking taylor expansion of 1.0 in x 1.126 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.128 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 1.128 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.128 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.128 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.128 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of 1.0 in x 1.129 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.129 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.129 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.129 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.134 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.134 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.134 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.134 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.135 * [taylor]: Taking taylor expansion of -1 in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.135 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.135 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.135 * [taylor]: Taking taylor expansion of 1.0 in x 1.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.135 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.135 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.135 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.135 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.135 * [taylor]: Taking taylor expansion of -1 in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.135 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.135 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.135 * [taylor]: Taking taylor expansion of 1.0 in x 1.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.138 * * * [progress]: simplifying candidates 1.140 * [simplify]: Simplifying using # : (- (+ (log (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (log (sqrt 1.0))) (log (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (- (log (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0))) (log (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (log (/ (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (exp (/ (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0)) (sqrt (+ (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)) (sqrt 1.0))) (* (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (* (* (* (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 (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (cbrt (/ (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (cbrt (/ (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (* (/ (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0)) (sqrt (+ (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 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (neg (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0))) (neg (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (/ (sqrt 1.0) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (/ (sqrt 1.0) (sqrt (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (sqrt 1.0) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1)) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt 1))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt 1))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1)) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (sqrt 1.0) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) 1) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0))) (/ (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0)) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (/ (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0)) (sqrt (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (/ (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0)) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0)) (sqrt 1)) (/ (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0)) (sqrt (sqrt 1))) (/ (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0)) (sqrt (sqrt 1))) (/ (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0)) (sqrt 1)) (/ (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0)) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0)) 1) (/ (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt 1.0)) (/ (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0)) (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3)))) (/ (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0)) (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)))) (- (log 1.0) (log (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (* 1.0 1.0) 1.0) (* (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt 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(sqrt 2) (/ 0.5 (* x (sqrt 2))))) (+ (* 0.125 (/ (sqrt NAN) (* x (* x (* 2 (sqrt 2)))))) (* 1.0 (/ (sqrt (pow NAN 5)) (* x (* x (sqrt 2)))))))) (+ (* (sqrt NAN) (sqrt 2)) (- (* 3/2 (/ (sqrt (pow NAN 9)) (* x (* x (sqrt 2))))) (+ (* 1.0 (/ (sqrt (pow NAN 5)) (* x (* x (sqrt 2))))) (* (sqrt NAN) (+ (/ 0.5 (* x (sqrt 2))) (* (/ 1 (* x (* x (* 2 (sqrt 2))))) 0.125)))))) 1.179 * * * [progress]: adding candidates to table 1.477 * [progress]: [Phase 3 of 3] Extracting. 1.477 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.478 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.478 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 1.529 * * * [regime]: Found split indices: #