11.102 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.028 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.030 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.031 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.031 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.060 * * * [progress]: generating series expansions 0.060 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.060 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.060 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.060 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.060 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.062 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.064 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.064 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.088 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.088 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.088 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.091 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.108 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.108 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.108 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.108 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.110 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.110 * [taylor]: Taking taylor expansion of -1 in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.111 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.111 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.113 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.113 * [taylor]: Taking taylor expansion of -1 in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.129 * * * [progress]: simplifying candidates 0.130 * [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)))) (- (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)) (- (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)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.133 * * [simplify]: iteration 0 : 132 enodes (cost 175 ) 0.136 * * [simplify]: iteration 1 : 400 enodes (cost 159 ) 0.143 * * [simplify]: iteration 2 : 1559 enodes (cost 153 ) 0.174 * * [simplify]: iteration 3 : 5001 enodes (cost 149 ) 0.175 * [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))) (- (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)) (- (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))) 0.176 * * * [progress]: adding candidates to table 0.215 * * [progress]: iteration 2 / 4 0.215 * * * [progress]: picking best candidate 0.218 * * * * [pick]: Picked # 0.218 * * * [progress]: localizing error 0.225 * * * [progress]: generating rewritten candidates 0.225 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.250 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.267 * * * [progress]: generating series expansions 0.267 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.267 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.267 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.267 * [taylor]: Taking taylor expansion of 1.0 in x 0.268 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.268 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.268 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of 1.0 in x 0.270 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.272 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.272 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.274 * [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 x in x 0.349 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.349 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.351 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.352 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.372 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.372 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.372 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.372 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.372 * [taylor]: Taking taylor expansion of -1 in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.373 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.376 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.376 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.376 * [taylor]: Taking taylor expansion of -1 in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.378 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.398 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.398 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.398 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.398 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.398 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.402 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.403 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.403 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.405 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.423 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.423 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.423 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.423 * [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 0.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.426 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.428 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.428 * [taylor]: Taking taylor expansion of 1.0 in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.441 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.441 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.441 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.441 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.442 * [taylor]: Taking taylor expansion of -1 in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.443 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.445 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.445 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.445 * [taylor]: Taking taylor expansion of -1 in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.446 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.446 * [taylor]: Taking taylor expansion of 1.0 in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.461 * * * [progress]: simplifying candidates 0.462 * [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)))) (- 1.0) (- (+ (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))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +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)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.466 * * [simplify]: iteration 0 : 295 enodes (cost 535 ) 0.472 * * [simplify]: iteration 1 : 1077 enodes (cost 482 ) 0.493 * * [simplify]: iteration 2 : 5001 enodes (cost 453 ) 0.496 * [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)))) (- 1.0) (- (+ (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)))) (+ (/ (- (* +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))))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) (- (+ (/ (- +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)))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) 0.496 * * * [progress]: adding candidates to table 0.600 * * [progress]: iteration 3 / 4 0.600 * * * [progress]: picking best candidate 0.617 * * * * [pick]: Picked # 0.617 * * * [progress]: localizing error 0.626 * * * [progress]: generating rewritten candidates 0.626 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.743 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.766 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.788 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.830 * * * [progress]: generating series expansions 0.830 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.830 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.830 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.830 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.830 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.830 * [taylor]: Taking taylor expansion of 1.0 in x 0.831 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.831 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.831 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of 1.0 in x 0.833 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.837 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.837 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.838 * [taylor]: Taking taylor expansion of 1.0 in x 0.838 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.838 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.838 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.901 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.901 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.901 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.901 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.901 * [taylor]: Taking taylor expansion of 1.0 in x 0.902 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.902 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.902 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.903 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.907 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.907 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.907 * [taylor]: Taking taylor expansion of 1.0 in x 0.908 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.908 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.909 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.909 * [taylor]: Taking taylor expansion of 1.0 in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.948 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.949 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.949 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.949 * [taylor]: Taking taylor expansion of (sqrt 1.0) 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 -1 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 0.955 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.955 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.955 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.955 * [taylor]: Taking taylor expansion of 1.0 in x 0.956 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.956 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.956 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.956 * [taylor]: Taking taylor expansion of -1 in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.957 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.957 * [taylor]: Taking taylor expansion of 1.0 in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.993 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.993 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.993 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.993 * [taylor]: Taking taylor expansion of 1.0 in x 0.993 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.993 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.993 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.993 * [taylor]: Taking taylor expansion of 1.0 in x 0.995 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.997 * [taylor]: Taking taylor expansion of 1.0 in x 0.997 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.997 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.997 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of 1.0 in x 0.998 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.999 * [taylor]: Taking taylor expansion of x in x 1.074 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.074 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.074 * [taylor]: Taking taylor expansion of 1.0 in x 1.074 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.074 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.075 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.075 * [taylor]: Taking taylor expansion of 1.0 in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.078 * [taylor]: Taking taylor expansion of 1.0 in x 1.078 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.078 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.079 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.079 * [taylor]: Taking taylor expansion of 1.0 in x 1.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.099 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.099 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.099 * [taylor]: Taking taylor expansion of 1.0 in x 1.099 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.099 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.099 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.099 * [taylor]: Taking taylor expansion of -1 in x 1.099 * [taylor]: Taking taylor expansion of x in x 1.100 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.100 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.100 * [taylor]: Taking taylor expansion of 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 1.106 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.106 * [taylor]: Taking taylor expansion of 1.0 in x 1.106 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.106 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.106 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.106 * [taylor]: Taking taylor expansion of -1 in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.108 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.108 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.108 * [taylor]: Taking taylor expansion of 1.0 in x 1.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.128 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.128 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.128 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.128 * [taylor]: Taking taylor expansion of 1.0 in x 1.128 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.128 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.128 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of 1.0 in x 1.130 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.132 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.132 * [taylor]: Taking taylor expansion of 1.0 in x 1.132 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.132 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.132 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.132 * [taylor]: Taking taylor expansion of x in x 1.132 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.207 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.208 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.208 * [taylor]: Taking taylor expansion of 1.0 in x 1.208 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.208 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.208 * [taylor]: Taking taylor expansion of x in x 1.209 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.209 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.209 * [taylor]: Taking taylor expansion of 1.0 in x 1.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.211 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.211 * [taylor]: Taking taylor expansion of 1.0 in x 1.211 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.211 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.213 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.213 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.213 * [taylor]: Taking taylor expansion of 1.0 in x 1.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.232 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.232 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.232 * [taylor]: Taking taylor expansion of 1.0 in x 1.232 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.232 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.232 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.232 * [taylor]: Taking taylor expansion of -1 in x 1.232 * [taylor]: Taking taylor expansion of x in x 1.234 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.234 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.234 * [taylor]: Taking taylor expansion of 1.0 in x 1.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.236 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.236 * [taylor]: Taking taylor expansion of 1.0 in x 1.236 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.236 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.236 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.236 * [taylor]: Taking taylor expansion of -1 in x 1.236 * [taylor]: Taking taylor expansion of x in x 1.238 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.238 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.238 * [taylor]: Taking taylor expansion of 1.0 in x 1.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.238 * [taylor]: Taking taylor expansion of x in x 1.263 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.264 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in (x) around 0 1.264 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 1.264 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.264 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.264 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.264 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.264 * [taylor]: Taking taylor expansion of 1.0 in x 1.265 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.265 * [taylor]: Taking taylor expansion of x in x 1.282 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.282 * [taylor]: Taking taylor expansion of 1.0 in x 1.283 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 1.283 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.283 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.283 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.283 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.283 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.283 * [taylor]: Taking taylor expansion of x in x 1.283 * [taylor]: Taking taylor expansion of 1.0 in x 1.285 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.302 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.302 * [taylor]: Taking taylor expansion of 1.0 in x 1.458 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 1.459 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 1.459 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.459 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.459 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.459 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.460 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.460 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.460 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.471 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.471 * [taylor]: Taking taylor expansion of 1.0 in x 1.471 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 1.471 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.471 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.471 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.471 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.471 * [taylor]: Taking taylor expansion of x in x 1.473 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.473 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.473 * [taylor]: Taking taylor expansion of 1.0 in x 1.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.473 * [taylor]: Taking taylor expansion of x in x 1.483 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.483 * [taylor]: Taking taylor expansion of 1.0 in x 1.530 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 1.530 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 1.530 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.530 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.530 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.530 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.530 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.530 * [taylor]: Taking taylor expansion of -1 in x 1.530 * [taylor]: Taking taylor expansion of x in x 1.531 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.531 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.531 * [taylor]: Taking taylor expansion of 1.0 in x 1.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.542 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.542 * [taylor]: Taking taylor expansion of 1.0 in x 1.543 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 1.543 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.543 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.543 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.543 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.543 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.543 * [taylor]: Taking taylor expansion of -1 in x 1.543 * [taylor]: Taking taylor expansion of x in x 1.544 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.544 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.544 * [taylor]: Taking taylor expansion of 1.0 in x 1.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.544 * [taylor]: Taking taylor expansion of x in x 1.554 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.554 * [taylor]: Taking taylor expansion of 1.0 in x 1.601 * * * [progress]: simplifying candidates 1.605 * [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 (/ 1 1)) (sqrt (/ 1 1))) (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ 1 1)) (sqrt (/ 1 1))) (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ 1 (sqrt 1))) (sqrt (/ 1 (sqrt 1)))) (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ 1 (sqrt 1))) (sqrt (/ 1 (sqrt 1)))) (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ 1 (sqrt 1))) (sqrt (/ 1 (sqrt 1)))) (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ 1 (sqrt 1))) (sqrt (/ 1 (sqrt 1)))) (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ 1 1)) (sqrt (/ 1 1))) (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ 1 1)) (sqrt (/ 1 1))) (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt 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(sqrt x)))) (fabs (cbrt 1.0)) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (fabs (cbrt 1.0)) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (fabs (/ (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 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt 1.0)) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt 1.0)) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt 1.0)) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (fabs (/ 1 (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 (/ 1.0 (sqrt (+ (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)) (/ (* (- +nan.0) 1.0) (pow x 2))) (+ (* +nan.0 (- (/ (pow (sqrt 1.0) 2) x) 1.0)) (/ (* (- +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) (/ (- +nan.0) (pow x 2))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +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) (/ (- +nan.0) (pow x 2))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +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)))))) 1.702 * * * [progress]: adding candidates to table 2.187 * * [progress]: iteration 4 / 4 2.187 * * * [progress]: picking best candidate 2.206 * * * * [pick]: Picked # 2.206 * * * [progress]: localizing error 2.221 * * * [progress]: generating rewritten candidates 2.221 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.354 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.380 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.402 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.445 * * * [progress]: generating series expansions 2.445 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.446 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.446 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.446 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.446 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.446 * [taylor]: Taking taylor expansion of 1.0 in x 2.447 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.447 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.447 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.447 * [taylor]: Taking taylor expansion of x in x 2.447 * [taylor]: Taking taylor expansion of 1.0 in x 2.449 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.449 * [taylor]: Taking taylor expansion of x in x 2.453 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.453 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.453 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.453 * [taylor]: Taking taylor expansion of 1.0 in x 2.453 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.453 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.453 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.454 * [taylor]: Taking taylor expansion of x in x 2.454 * [taylor]: Taking taylor expansion of 1.0 in x 2.455 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.455 * [taylor]: Taking taylor expansion of x in x 2.519 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.519 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.519 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.519 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.519 * [taylor]: Taking taylor expansion of 1.0 in x 2.519 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.519 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.519 * [taylor]: Taking taylor expansion of x in x 2.521 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.521 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.521 * [taylor]: Taking taylor expansion of 1.0 in x 2.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.521 * [taylor]: Taking taylor expansion of x in x 2.525 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.525 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.525 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.525 * [taylor]: Taking taylor expansion of 1.0 in x 2.526 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.526 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.526 * [taylor]: Taking taylor expansion of x in x 2.527 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.527 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.527 * [taylor]: Taking taylor expansion of 1.0 in x 2.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.528 * [taylor]: Taking taylor expansion of x in x 2.571 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.571 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.571 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.571 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.571 * [taylor]: Taking taylor expansion of 1.0 in x 2.572 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.572 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.572 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.572 * [taylor]: Taking taylor expansion of -1 in x 2.572 * [taylor]: Taking taylor expansion of x in x 2.573 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.573 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.573 * [taylor]: Taking taylor expansion of 1.0 in x 2.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.573 * [taylor]: Taking taylor expansion of x in x 2.577 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.577 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.577 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.577 * [taylor]: Taking taylor expansion of 1.0 in x 2.578 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.578 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.578 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.578 * [taylor]: Taking taylor expansion of -1 in x 2.578 * [taylor]: Taking taylor expansion of x in x 2.579 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.579 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.580 * [taylor]: Taking taylor expansion of 1.0 in x 2.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.580 * [taylor]: Taking taylor expansion of x in x 2.617 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.617 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in (x) around 0 2.618 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 2.618 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.618 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.618 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.618 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.618 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.618 * [taylor]: Taking taylor expansion of x in x 2.618 * [taylor]: Taking taylor expansion of 1.0 in x 2.619 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.619 * [taylor]: Taking taylor expansion of x in x 2.636 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.636 * [taylor]: Taking taylor expansion of 1.0 in x 2.637 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 2.637 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.637 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.637 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.637 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.637 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.637 * [taylor]: Taking taylor expansion of x in x 2.637 * [taylor]: Taking taylor expansion of 1.0 in x 2.639 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.639 * [taylor]: Taking taylor expansion of x in x 2.662 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.663 * [taylor]: Taking taylor expansion of 1.0 in x 2.820 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 2.820 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.820 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.820 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.820 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.820 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.820 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.820 * [taylor]: Taking taylor expansion of x in x 2.822 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.822 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.822 * [taylor]: Taking taylor expansion of 1.0 in x 2.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.822 * [taylor]: Taking taylor expansion of x in x 2.832 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.832 * [taylor]: Taking taylor expansion of 1.0 in x 2.833 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.833 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.833 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.833 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.833 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.833 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.833 * [taylor]: Taking taylor expansion of x in x 2.834 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.834 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.834 * [taylor]: Taking taylor expansion of 1.0 in x 2.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.834 * [taylor]: Taking taylor expansion of x in x 2.844 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.844 * [taylor]: Taking taylor expansion of 1.0 in x 2.886 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 2.886 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.886 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.886 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.886 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.886 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.886 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.886 * [taylor]: Taking taylor expansion of -1 in x 2.886 * [taylor]: Taking taylor expansion of x in x 2.887 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.887 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.887 * [taylor]: Taking taylor expansion of 1.0 in x 2.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.887 * [taylor]: Taking taylor expansion of x in x 2.905 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.905 * [taylor]: Taking taylor expansion of 1.0 in x 2.906 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.906 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.906 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.906 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.906 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.906 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.906 * [taylor]: Taking taylor expansion of -1 in x 2.906 * [taylor]: Taking taylor expansion of x in x 2.907 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.907 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.907 * [taylor]: Taking taylor expansion of 1.0 in x 2.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.907 * [taylor]: Taking taylor expansion of x in x 2.917 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.917 * [taylor]: Taking taylor expansion of 1.0 in x 2.958 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.959 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.959 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.959 * [taylor]: Taking taylor expansion of 1.0 in x 2.959 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.959 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.959 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.959 * [taylor]: Taking taylor expansion of x in x 2.959 * [taylor]: Taking taylor expansion of 1.0 in x 2.960 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.960 * [taylor]: Taking taylor expansion of x in x 2.962 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.962 * [taylor]: Taking taylor expansion of 1.0 in x 2.962 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.963 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.963 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.963 * [taylor]: Taking taylor expansion of x in x 2.963 * [taylor]: Taking taylor expansion of 1.0 in x 2.964 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.964 * [taylor]: Taking taylor expansion of x in x 3.043 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 3.043 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.043 * [taylor]: Taking taylor expansion of 1.0 in x 3.043 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.043 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.044 * [taylor]: Taking taylor expansion of x in x 3.045 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.045 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.045 * [taylor]: Taking taylor expansion of 1.0 in x 3.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.045 * [taylor]: Taking taylor expansion of x in x 3.047 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.047 * [taylor]: Taking taylor expansion of 1.0 in x 3.047 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.047 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.047 * [taylor]: Taking taylor expansion of x in x 3.049 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.049 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.049 * [taylor]: Taking taylor expansion of 1.0 in x 3.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.049 * [taylor]: Taking taylor expansion of x in x 3.075 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 3.075 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.075 * [taylor]: Taking taylor expansion of 1.0 in x 3.075 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.075 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.075 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.075 * [taylor]: Taking taylor expansion of -1 in x 3.075 * [taylor]: Taking taylor expansion of x in x 3.076 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.076 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.076 * [taylor]: Taking taylor expansion of 1.0 in x 3.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.076 * [taylor]: Taking taylor expansion of x in x 3.079 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.079 * [taylor]: Taking taylor expansion of 1.0 in x 3.079 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.079 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.079 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.079 * [taylor]: Taking taylor expansion of -1 in x 3.079 * [taylor]: Taking taylor expansion of x in x 3.080 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.080 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.080 * [taylor]: Taking taylor expansion of 1.0 in x 3.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.080 * [taylor]: Taking taylor expansion of x in x 3.101 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.101 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in (x) around 0 3.101 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 3.101 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.101 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.101 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.101 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.101 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.101 * [taylor]: Taking taylor expansion of x in x 3.101 * [taylor]: Taking taylor expansion of 1.0 in x 3.103 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.103 * [taylor]: Taking taylor expansion of x in x 3.119 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.120 * [taylor]: Taking taylor expansion of 1.0 in x 3.120 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 3.120 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.120 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.120 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.120 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.120 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.120 * [taylor]: Taking taylor expansion of x in x 3.120 * [taylor]: Taking taylor expansion of 1.0 in x 3.122 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.122 * [taylor]: Taking taylor expansion of x in x 3.145 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.145 * [taylor]: Taking taylor expansion of 1.0 in x 3.303 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 3.303 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 3.303 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.303 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.303 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.303 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.303 * [taylor]: Taking taylor expansion of x in x 3.304 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.304 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.304 * [taylor]: Taking taylor expansion of 1.0 in x 3.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.304 * [taylor]: Taking taylor expansion of x in x 3.315 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.315 * [taylor]: Taking taylor expansion of 1.0 in x 3.315 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 3.315 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.315 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.315 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.315 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.316 * [taylor]: Taking taylor expansion of x in x 3.317 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.317 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.317 * [taylor]: Taking taylor expansion of 1.0 in x 3.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.317 * [taylor]: Taking taylor expansion of x in x 3.327 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.327 * [taylor]: Taking taylor expansion of 1.0 in x 3.368 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 3.368 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 3.368 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.368 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.368 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.368 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.368 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.368 * [taylor]: Taking taylor expansion of -1 in x 3.368 * [taylor]: Taking taylor expansion of x in x 3.370 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.370 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.370 * [taylor]: Taking taylor expansion of 1.0 in x 3.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.370 * [taylor]: Taking taylor expansion of x in x 3.387 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.387 * [taylor]: Taking taylor expansion of 1.0 in x 3.388 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 3.388 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.388 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.388 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.388 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.388 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.388 * [taylor]: Taking taylor expansion of -1 in x 3.388 * [taylor]: Taking taylor expansion of x in x 3.389 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.389 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.389 * [taylor]: Taking taylor expansion of 1.0 in x 3.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.389 * [taylor]: Taking taylor expansion of x in x 3.400 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.400 * [taylor]: Taking taylor expansion of 1.0 in x 3.441 * * * [progress]: simplifying candidates 3.446 * [simplify]: Simplifying using # : (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (+ (log (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (log (sqrt 1.0)) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (+ (log (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (exp (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (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 1.0)) (sqrt 1.0)) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (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 (+ (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)))))) (* (cbrt (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))))) (cbrt (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (* (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (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 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (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)))) (* (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) 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(sqrt (sqrt 1.0)) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (sqrt 1.0)) (sqrt (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) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 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1.0) (* (sqrt +nan.0) x)) (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow x 2)))))) 3.564 * * * [progress]: adding candidates to table 4.131 * [progress]: [Phase 3 of 3] Extracting. 4.131 * * [regime]: Finding splitpoints for: (# # # # # # #) 4.132 * * * [regime-changes]: Trying 1 branch expressions: (x) 4.132 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 4.161 * * * [regime]: Found split indices: #