18.081 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.034 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.036 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.037 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.037 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.044 * * * [progress]: generating rewritten candidates 0.044 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.052 * * * [progress]: generating series expansions 0.052 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.052 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.052 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.052 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of 1.0 in x 0.054 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.056 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.056 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.078 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.078 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.078 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.078 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.085 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.103 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.103 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.103 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.103 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.105 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.105 * [taylor]: Taking taylor expansion of -1 in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.106 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.106 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.106 * [taylor]: Taking taylor expansion of 1.0 in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.108 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.108 * [taylor]: Taking taylor expansion of -1 in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.124 * * * [progress]: simplifying candidates 0.125 * [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)) (neg (sqrt x)) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (neg (+ (* +nan.0 (/ 1 (pow x 2))) (neg (+ (* +nan.0 (/ 1 x)) (neg +nan.0))))) (neg (+ (* +nan.0 (/ 1 (pow x 2))) (neg (+ (* +nan.0 (/ 1 x)) (neg +nan.0))))) 0.128 * * [simplify]: iteration 0 : 132 enodes (cost 175 ) 0.131 * * [simplify]: iteration 1 : 400 enodes (cost 159 ) 0.138 * * [simplify]: iteration 2 : 1559 enodes (cost 153 ) 0.168 * * [simplify]: iteration 3 : 5001 enodes (cost 149 ) 0.169 * [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 (sqrt x) 3)) (+ (+ (+ x 1.0) x) (* (sqrt (+ x 1.0)) (sqrt x))) (neg (pow x 1/2)) 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)) (neg (pow x 1/2)) (+ (+ (sqrt 1.0) (* (/ x (sqrt 1.0)) (- 1/2 (* (/ x 1.0) 1/8)))) (* x (- +nan.0 (* +nan.0 x)))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) 0.170 * * * [progress]: adding candidates to table 0.208 * * [progress]: iteration 2 / 4 0.208 * * * [progress]: picking best candidate 0.213 * * * * [pick]: Picked # 0.213 * * * [progress]: localizing error 0.219 * * * [progress]: generating rewritten candidates 0.219 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.228 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.237 * * * [progress]: generating series expansions 0.237 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.237 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.238 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.238 * [taylor]: Taking taylor expansion of 1.0 in x 0.238 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.238 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.238 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of 1.0 in x 0.239 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.242 * [taylor]: Taking taylor expansion of 1.0 in x 0.242 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.242 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.242 * [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 0.244 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.321 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.321 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.321 * [taylor]: Taking taylor expansion of 1.0 in x 0.321 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.321 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.322 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.323 * [taylor]: Taking taylor expansion of 1.0 in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.325 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.326 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.347 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.347 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.347 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.347 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.347 * [taylor]: Taking taylor expansion of -1 in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.348 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.356 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.356 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.356 * [taylor]: Taking taylor expansion of -1 in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.358 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.379 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.379 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.379 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.379 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.379 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.382 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.382 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.402 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.403 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.403 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.404 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.405 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.407 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.407 * [taylor]: Taking taylor expansion of 1.0 in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.421 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.421 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.421 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.421 * [taylor]: Taking taylor expansion of -1 in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.422 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.422 * [taylor]: Taking taylor expansion of 1.0 in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.424 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.424 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.424 * [taylor]: Taking taylor expansion of -1 in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.425 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.425 * [taylor]: Taking taylor expansion of 1.0 in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.446 * * * [progress]: simplifying candidates 0.447 * [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)) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (neg (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (neg (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (neg (+ (* +nan.0 (/ 1 (pow x 2))) (neg (+ (* +nan.0 (/ 1 x)) (neg +nan.0))))) (neg (+ (* +nan.0 (/ 1 (pow x 2))) (neg (+ (* +nan.0 (/ 1 x)) (neg +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (neg (+ (* +nan.0 (/ 1 (pow x 2))) (neg (+ (* +nan.0 (/ 1 x)) (neg +nan.0))))) (neg (+ (* +nan.0 (/ 1 (pow x 2))) (neg (+ (* +nan.0 (/ 1 x)) (neg +nan.0))))) 0.452 * * [simplify]: iteration 0 : 295 enodes (cost 535 ) 0.457 * * [simplify]: iteration 1 : 1077 enodes (cost 482 ) 0.478 * * [simplify]: iteration 2 : 5002 enodes (cost 453 ) 0.480 * [simplify]: Simplified to: (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (* (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)))) (pow (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (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)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (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) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (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 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 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 1.0 1.0 1.0 (/ (+ (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 (+ x (- 1.0 x))) (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 (sqrt x) 3)) (- (+ (+ x 1.0) x) (* (sqrt (+ x 1.0)) (sqrt x))) (+ 1.0 0) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (* 0.5 (/ x (pow (sqrt 1.0) 3)))) (+ (/ (neg (* +nan.0 x)) 1.0) (- (* (/ x (/ 1.0 x)) (+ (/ +nan.0 (sqrt 1.0)) (/ +nan.0 1.0))) (/ (pow x 2) (/ 1.0 +nan.0))))) (- (+ (/ (neg +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) (- (+ (/ (neg +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) (+ (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (* x (- +nan.0 (* +nan.0 x)))) (- (+ (/ (neg +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) (- (+ (/ (neg +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) 0.481 * * * [progress]: adding candidates to table 0.574 * * [progress]: iteration 3 / 4 0.574 * * * [progress]: picking best candidate 0.591 * * * * [pick]: Picked # 0.591 * * * [progress]: localizing error 0.600 * * * [progress]: generating rewritten candidates 0.600 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.631 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.641 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.657 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.691 * * * [progress]: generating series expansions 0.691 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.691 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.691 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.691 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.691 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.691 * [taylor]: Taking taylor expansion of 1.0 in x 0.692 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.692 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.692 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of 1.0 in x 0.694 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.698 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.698 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.698 * [taylor]: Taking taylor expansion of 1.0 in x 0.699 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.699 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.699 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of 1.0 in x 0.700 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.764 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.764 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.764 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.764 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.764 * [taylor]: Taking taylor expansion of 1.0 in x 0.764 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.764 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.766 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.766 * [taylor]: Taking taylor expansion of 1.0 in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.770 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.770 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.770 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.770 * [taylor]: Taking taylor expansion of 1.0 in x 0.770 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.770 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.772 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.772 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.772 * [taylor]: Taking taylor expansion of 1.0 in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.772 * [taylor]: Taking taylor expansion of x in x 0.808 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.808 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.808 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.808 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.808 * [taylor]: Taking taylor expansion of 1.0 in x 0.809 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.809 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.809 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.809 * [taylor]: Taking taylor expansion of -1 in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.810 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.810 * [taylor]: Taking taylor expansion of 1.0 in x 0.810 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.814 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.814 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.814 * [taylor]: Taking taylor expansion of 1.0 in x 0.815 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.815 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.815 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.815 * [taylor]: Taking taylor expansion of -1 in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.816 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.816 * [taylor]: Taking taylor expansion of 1.0 in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.859 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.860 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.860 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.860 * [taylor]: Taking taylor expansion of 1.0 in x 0.860 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.860 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.860 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of 1.0 in x 0.861 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.864 * [taylor]: Taking taylor expansion of 1.0 in x 0.864 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.864 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.864 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of 1.0 in x 0.865 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.945 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.945 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.945 * [taylor]: Taking taylor expansion of 1.0 in x 0.945 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.945 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.947 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.947 * [taylor]: Taking taylor expansion of 1.0 in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.949 * [taylor]: Taking taylor expansion of 1.0 in x 0.949 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.949 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.949 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.951 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.951 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.951 * [taylor]: Taking taylor expansion of 1.0 in x 0.951 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.971 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.971 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.971 * [taylor]: Taking taylor expansion of 1.0 in x 0.971 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.971 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.971 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.971 * [taylor]: Taking taylor expansion of -1 in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.973 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.973 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.973 * [taylor]: Taking taylor expansion of 1.0 in x 0.973 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.973 * [taylor]: Taking taylor expansion of x in x 0.975 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.976 * [taylor]: Taking taylor expansion of 1.0 in x 0.976 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.976 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.976 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.976 * [taylor]: Taking taylor expansion of -1 in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.977 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.977 * [taylor]: Taking taylor expansion of 1.0 in x 0.977 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.977 * [taylor]: Taking taylor expansion of x in x 1.004 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.004 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.004 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.004 * [taylor]: Taking taylor expansion of 1.0 in x 1.004 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.004 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.004 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.004 * [taylor]: Taking taylor expansion of 1.0 in x 1.006 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.008 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.008 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.008 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of 1.0 in x 1.010 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.092 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.092 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) 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 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 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.096 * [taylor]: Taking taylor expansion of 1.0 in x 1.096 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.096 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.097 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.097 * [taylor]: Taking taylor expansion of 1.0 in x 1.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.118 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.118 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.118 * [taylor]: Taking taylor expansion of 1.0 in x 1.118 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.118 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.118 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.118 * [taylor]: Taking taylor expansion of -1 in x 1.118 * [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 1.122 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.122 * [taylor]: Taking taylor expansion of 1.0 in x 1.122 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.122 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.122 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.122 * [taylor]: Taking taylor expansion of -1 in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.123 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.144 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.144 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in (x) around 0 1.144 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 1.144 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.144 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.145 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.145 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of 1.0 in x 1.146 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.169 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.169 * [taylor]: Taking taylor expansion of 1.0 in x 1.170 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 1.170 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.170 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.170 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.170 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.170 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of 1.0 in x 1.171 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.188 * [taylor]: Taking taylor expansion of 1.0 in x 1.345 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 1.345 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 1.345 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.345 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.345 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.345 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.347 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.347 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.347 * [taylor]: Taking taylor expansion of 1.0 in x 1.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.347 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.358 * [taylor]: Taking taylor expansion of 1.0 in x 1.358 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 1.358 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.358 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.358 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.359 * [taylor]: Taking taylor expansion of x in x 1.360 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.360 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.360 * [taylor]: Taking taylor expansion of 1.0 in x 1.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.360 * [taylor]: Taking taylor expansion of x in x 1.370 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.370 * [taylor]: Taking taylor expansion of 1.0 in x 1.419 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 1.419 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 1.419 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.419 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.419 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.419 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.419 * [taylor]: Taking taylor expansion of -1 in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.421 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.421 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.421 * [taylor]: Taking taylor expansion of 1.0 in x 1.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.421 * [taylor]: Taking taylor expansion of x in x 1.432 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.432 * [taylor]: Taking taylor expansion of 1.0 in x 1.433 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 1.433 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.433 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.433 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.433 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.433 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.433 * [taylor]: Taking taylor expansion of -1 in x 1.433 * [taylor]: Taking taylor expansion of x in x 1.434 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.434 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.434 * [taylor]: Taking taylor expansion of 1.0 in x 1.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.445 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.445 * [taylor]: Taking taylor expansion of 1.0 in x 1.487 * * * [progress]: simplifying candidates 1.497 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ 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))))) (* (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (+ 1 1) (+ (log (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (exp (* (sqrt (/ 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)))) (sqrt (/ 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)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))))) (cbrt (* (sqrt (/ 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)))) (sqrt (/ 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)))))) (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 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 (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))))) (* (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (* (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (* (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))))) (* (sqrt (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))))) (* (sqrt (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (cbrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (cbrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))))) (* (sqrt (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) (sqrt 1))) (sqrt (/ (sqrt 1.0) (sqrt 1)))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) (sqrt 1))) (sqrt (/ (sqrt 1.0) (sqrt 1)))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) (sqrt 1))) (sqrt (/ (sqrt 1.0) (sqrt 1)))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) (sqrt 1))) (sqrt (/ (sqrt 1.0) (sqrt 1)))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (/ 1 (* (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 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ 1 (sqrt (+ (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 (/ 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(sqrt (+ x 1.0)) (sqrt x))))) 1 (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)))) (sqrt (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ 1.0 (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 1/2 (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (+ (* 3/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (sqrt 1.0) (- (* 1/2 (/ x (sqrt 1.0))) (- (- (* +nan.0 (pow x 2)) (- (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (* +nan.0 x))) (/ (* +nan.0 (pow x 2)) 1.0))))) (+ (* +nan.0 (- (/ (pow (sqrt 1.0) 2) x) 1.0)) (/ (* (neg +nan.0) 1.0) (pow x 2))) (+ (* +nan.0 (- (/ (pow (sqrt 1.0) 2) x) 1.0)) (/ (* (neg +nan.0) 1.0) (pow x 2))) (+ (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5))) (- (* 1.0 (/ 1 (sqrt 1.0))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (/ (* +nan.0 x) 1.0) (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (/ (* +nan.0 (pow x 2)) 1.0))))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (neg +nan.0) (pow x 2))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (neg +nan.0) (pow x 2))) (+ (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5))) (- (* 1.0 (/ 1 (sqrt 1.0))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (/ (* +nan.0 x) 1.0) (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (/ (* +nan.0 (pow x 2)) 1.0))))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (neg +nan.0) (pow x 2))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (neg +nan.0) (pow x 2))) (+ (- (+ (* 5/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7))))) (sqrt (sqrt 1.0))) (* 1/4 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) (+ (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0)))))) (* (* +nan.0 (pow x 2)) (- (sqrt (/ 1 (sqrt 1.0))) (sqrt (/ 1 (pow (sqrt 1.0) 5))))))) (+ (- (* (sqrt +nan.0) (sqrt 1.0)) (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow x 2))))) (* +nan.0 (- (/ (sqrt 1.0) (* (sqrt +nan.0) x)) (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow x 2)))))) (+ (- (* (sqrt +nan.0) (sqrt 1.0)) (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow x 2))))) (* +nan.0 (- (/ (sqrt 1.0) (* (sqrt +nan.0) x)) (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow x 2)))))) 1.599 * * * [progress]: adding candidates to table 2.010 * * [progress]: iteration 4 / 4 2.010 * * * [progress]: picking best candidate 2.031 * * * * [pick]: Picked # 2.031 * * * [progress]: localizing error 2.043 * * * [progress]: generating rewritten candidates 2.043 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.057 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.071 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.125 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 2.159 * * * [progress]: generating series expansions 2.159 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.159 * [approximate]: Taking taylor expansion of (pow (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) 3) in (x) around 0 2.159 * [taylor]: Taking taylor expansion of (pow (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) 3) in x 2.159 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 2.159 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.159 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.159 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.159 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.159 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.159 * [taylor]: Taking taylor expansion of x in x 2.159 * [taylor]: Taking taylor expansion of 1.0 in x 2.161 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.161 * [taylor]: Taking taylor expansion of x in x 2.179 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.179 * [taylor]: Taking taylor expansion of 1.0 in x 2.181 * [taylor]: Taking taylor expansion of (pow (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) 3) in x 2.181 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 2.181 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.181 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.181 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.181 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.181 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.181 * [taylor]: Taking taylor expansion of x in x 2.181 * [taylor]: Taking taylor expansion of 1.0 in x 2.183 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.183 * [taylor]: Taking taylor expansion of x in x 2.200 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.200 * [taylor]: Taking taylor expansion of 1.0 in x 2.516 * [approximate]: Taking taylor expansion of (pow (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) 3) in (x) around 0 2.516 * [taylor]: Taking taylor expansion of (pow (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) 3) in x 2.516 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.516 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.516 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.516 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.516 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.516 * [taylor]: Taking taylor expansion of x in x 2.518 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.518 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.518 * [taylor]: Taking taylor expansion of 1.0 in x 2.518 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.518 * [taylor]: Taking taylor expansion of x in x 2.528 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.528 * [taylor]: Taking taylor expansion of 1.0 in x 2.530 * [taylor]: Taking taylor expansion of (pow (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) 3) in x 2.530 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.530 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.530 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.530 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.530 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.530 * [taylor]: Taking taylor expansion of x in x 2.531 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.531 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.531 * [taylor]: Taking taylor expansion of 1.0 in x 2.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.531 * [taylor]: Taking taylor expansion of x in x 2.542 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.542 * [taylor]: Taking taylor expansion of 1.0 in x 2.669 * [approximate]: Taking taylor expansion of (pow (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) 3) in (x) around 0 2.669 * [taylor]: Taking taylor expansion of (pow (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) 3) in x 2.669 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.669 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.669 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.669 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.669 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.669 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.669 * [taylor]: Taking taylor expansion of -1 in x 2.669 * [taylor]: Taking taylor expansion of x in x 2.671 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.671 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.671 * [taylor]: Taking taylor expansion of 1.0 in x 2.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.671 * [taylor]: Taking taylor expansion of x in x 2.682 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.682 * [taylor]: Taking taylor expansion of 1.0 in x 2.683 * [taylor]: Taking taylor expansion of (pow (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) 3) in x 2.683 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.683 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.683 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.683 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.684 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.684 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.684 * [taylor]: Taking taylor expansion of -1 in x 2.684 * [taylor]: Taking taylor expansion of x in x 2.685 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.685 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.685 * [taylor]: Taking taylor expansion of 1.0 in x 2.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.685 * [taylor]: Taking taylor expansion of x in x 2.696 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.696 * [taylor]: Taking taylor expansion of 1.0 in x 2.823 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.823 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in (x) around 0 2.823 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 2.823 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.823 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.823 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.823 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.823 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.823 * [taylor]: Taking taylor expansion of x in x 2.823 * [taylor]: Taking taylor expansion of 1.0 in x 2.825 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.825 * [taylor]: Taking taylor expansion of x in x 2.842 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.842 * [taylor]: Taking taylor expansion of 1.0 in x 2.843 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 2.843 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.843 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.843 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.843 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.843 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.843 * [taylor]: Taking taylor expansion of x in x 2.843 * [taylor]: Taking taylor expansion of 1.0 in x 2.844 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.844 * [taylor]: Taking taylor expansion of x in x 2.861 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.861 * [taylor]: Taking taylor expansion of 1.0 in x 3.019 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 3.019 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 3.019 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.019 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.019 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.019 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.019 * [taylor]: Taking taylor expansion of x in x 3.020 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.020 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.020 * [taylor]: Taking taylor expansion of 1.0 in x 3.020 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.020 * [taylor]: Taking taylor expansion of x in x 3.030 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.031 * [taylor]: Taking taylor expansion of 1.0 in x 3.031 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 3.031 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.031 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.031 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.031 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.031 * [taylor]: Taking taylor expansion of x in x 3.033 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.033 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.033 * [taylor]: Taking taylor expansion of 1.0 in x 3.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.033 * [taylor]: Taking taylor expansion of x in x 3.043 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.043 * [taylor]: Taking taylor expansion of 1.0 in x 3.092 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 3.092 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 3.092 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.092 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.092 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.092 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.092 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.092 * [taylor]: Taking taylor expansion of -1 in x 3.092 * [taylor]: Taking taylor expansion of x in x 3.094 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.094 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.094 * [taylor]: Taking taylor expansion of 1.0 in x 3.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.094 * [taylor]: Taking taylor expansion of x in x 3.105 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.105 * [taylor]: Taking taylor expansion of 1.0 in x 3.105 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 3.105 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.105 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.105 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.105 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.105 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.105 * [taylor]: Taking taylor expansion of -1 in x 3.105 * [taylor]: Taking taylor expansion of x in x 3.107 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.107 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.107 * [taylor]: Taking taylor expansion of 1.0 in x 3.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.107 * [taylor]: Taking taylor expansion of x in x 3.117 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.118 * [taylor]: Taking taylor expansion of 1.0 in x 3.166 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.167 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 3.167 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.167 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.167 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.167 * [taylor]: Taking taylor expansion of 1.0 in x 3.167 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.168 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.168 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.168 * [taylor]: Taking taylor expansion of x in x 3.168 * [taylor]: Taking taylor expansion of 1.0 in x 3.169 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.169 * [taylor]: Taking taylor expansion of x in x 3.173 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.173 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.173 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.173 * [taylor]: Taking taylor expansion of 1.0 in x 3.174 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.174 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.174 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.174 * [taylor]: Taking taylor expansion of x in x 3.174 * [taylor]: Taking taylor expansion of 1.0 in x 3.175 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.175 * [taylor]: Taking taylor expansion of x in x 3.238 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 3.239 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.239 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.239 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.239 * [taylor]: Taking taylor expansion of 1.0 in x 3.239 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.239 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.239 * [taylor]: Taking taylor expansion of x in x 3.241 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.241 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.241 * [taylor]: Taking taylor expansion of 1.0 in x 3.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.241 * [taylor]: Taking taylor expansion of x in x 3.245 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.245 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.245 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.245 * [taylor]: Taking taylor expansion of 1.0 in x 3.246 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.246 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.246 * [taylor]: Taking taylor expansion of x in x 3.247 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.247 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.247 * [taylor]: Taking taylor expansion of 1.0 in x 3.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.247 * [taylor]: Taking taylor expansion of x in x 3.283 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 3.283 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.283 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.283 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.283 * [taylor]: Taking taylor expansion of 1.0 in x 3.284 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.284 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.284 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.284 * [taylor]: Taking taylor expansion of -1 in x 3.284 * [taylor]: Taking taylor expansion of x in x 3.285 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.285 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.285 * [taylor]: Taking taylor expansion of 1.0 in x 3.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.285 * [taylor]: Taking taylor expansion of x in x 3.289 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.289 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.289 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.289 * [taylor]: Taking taylor expansion of 1.0 in x 3.290 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.290 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.290 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.290 * [taylor]: Taking taylor expansion of -1 in x 3.290 * [taylor]: Taking taylor expansion of x in x 3.291 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.291 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.291 * [taylor]: Taking taylor expansion of 1.0 in x 3.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.292 * [taylor]: Taking taylor expansion of x in x 3.542 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 3.542 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 3.542 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.542 * [taylor]: Taking taylor expansion of 1.0 in x 3.542 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.542 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.542 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.542 * [taylor]: Taking taylor expansion of x in x 3.542 * [taylor]: Taking taylor expansion of 1.0 in x 3.544 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.544 * [taylor]: Taking taylor expansion of x in x 3.547 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.547 * [taylor]: Taking taylor expansion of 1.0 in x 3.547 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.547 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.547 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.547 * [taylor]: Taking taylor expansion of x in x 3.547 * [taylor]: Taking taylor expansion of 1.0 in x 3.549 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.549 * [taylor]: Taking taylor expansion of x in x 3.626 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 3.627 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.627 * [taylor]: Taking taylor expansion of 1.0 in x 3.627 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.627 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.627 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.627 * [taylor]: Taking taylor expansion of x in x 3.628 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.628 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.628 * [taylor]: Taking taylor expansion of 1.0 in x 3.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.628 * [taylor]: Taking taylor expansion of x in x 3.631 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.631 * [taylor]: Taking taylor expansion of 1.0 in x 3.631 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.631 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.631 * [taylor]: Taking taylor expansion of x in x 3.632 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.632 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.632 * [taylor]: Taking taylor expansion of 1.0 in x 3.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.632 * [taylor]: Taking taylor expansion of x in x 3.653 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 3.653 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.653 * [taylor]: Taking taylor expansion of 1.0 in x 3.653 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.654 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.654 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.654 * [taylor]: Taking taylor expansion of -1 in x 3.654 * [taylor]: Taking taylor expansion of x in x 3.655 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.655 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.655 * [taylor]: Taking taylor expansion of 1.0 in x 3.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.655 * [taylor]: Taking taylor expansion of x in x 3.658 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.658 * [taylor]: Taking taylor expansion of 1.0 in x 3.658 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.658 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.658 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.658 * [taylor]: Taking taylor expansion of -1 in x 3.658 * [taylor]: Taking taylor expansion of x in x 3.659 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.659 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.659 * [taylor]: Taking taylor expansion of 1.0 in x 3.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.659 * [taylor]: Taking taylor expansion of x in x 3.685 * * * [progress]: simplifying candidates 3.691 * [simplify]: Simplifying using # : (* (log (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (* (log (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (* 1/2 3) (* 1 3) (* (/ 1 2) 3) (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 3)) (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 1) (pow (* (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) 3) (pow (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (* (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) 3) (pow (sqrt (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) 3) (pow (sqrt (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (/ (cbrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) 3) (pow (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) 3) (pow (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) 3) (pow (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) 3) (pow (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) 3) (pow (sqrt (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (/ (sqrt 1.0) 1)) 3) (pow (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ (sqrt 1.0) (sqrt 1))) 3) (pow (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ (sqrt 1.0) (sqrt 1))) 3) (pow (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ (sqrt 1.0) 1)) 3) (pow (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) 3) (pow (sqrt (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (/ 1 1)) 3) (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ 1 (sqrt 1))) 3) (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ 1 (sqrt 1))) 3) (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ 1 1)) 3) (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt 1) 3) (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt 1.0) 3) (pow (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ 1.0 (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)))) 3) (pow (sqrt (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (/ 1.0 (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))))) 3) (pow (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) 3) (pow (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow 1 3) (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3)) (exp (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3)) (* (cbrt (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3)) (cbrt (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3))) (cbrt (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3)) (* (* (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3)) (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3)) (pow (* (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) 3) (pow (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (* (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) 3) (pow (sqrt (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) 3) (pow (sqrt (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (/ (cbrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) 3) (pow (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) 3) (pow (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) 3) (pow (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) 3) (pow (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) 3) (pow (sqrt (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (/ (sqrt 1.0) 1)) 3) (pow (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ (sqrt 1.0) (sqrt 1))) 3) (pow (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ (sqrt 1.0) (sqrt 1))) 3) (pow (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ (sqrt 1.0) 1)) 3) (pow (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) 3) (pow (sqrt (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (/ 1 1)) 3) (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ 1 (sqrt 1))) 3) (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ 1 (sqrt 1))) 3) (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ 1 1)) 3) (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt 1) 3) (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt 1.0) 3) (pow (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt (/ 1.0 (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)))) 3) (pow (sqrt (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (/ 1.0 (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))))) 3) (pow (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) 3) (pow (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 3) (pow 1 3) (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (pow (sqrt 1.0) 3) (pow (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 3 2) (sqrt (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3)) (sqrt (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3)) (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 3 2)) (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 3 2)) (log (cbrt (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3))) (exp (cbrt (pow (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 3))) (cbrt (pow (* (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) 3)) (cbrt (pow (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 3)) (cbrt (pow (sqrt (* (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) 3)) (cbrt (pow (sqrt (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 3)) (cbrt (pow (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 3)) (cbrt (pow (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 3)) (cbrt (pow (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) 3)) (cbrt (pow (sqrt (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3)) (cbrt (pow (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3)) (cbrt (pow (sqrt (/ (cbrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3)) (cbrt (pow (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) 3)) (cbrt (pow (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3)) (cbrt (pow (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) 3)) (cbrt (pow (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3)) (cbrt (pow (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) 3)) (cbrt (pow (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3)) (cbrt (pow (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) 3)) (cbrt (pow (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3)) (cbrt (pow (sqrt (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) 3)) (cbrt (pow (sqrt (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3)) (cbrt (pow (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 3)) 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(pow x 2))) 3.827 * * * [progress]: adding candidates to table 4.293 * [progress]: [Phase 3 of 3] Extracting. 4.293 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 4.295 * * * [regime-changes]: Trying 1 branch expressions: (x) 4.295 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 4.329 * * * [regime]: Found split indices: #