8.755 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.029 * * [simplify]: iteration 0 : 71 enodes (cost 7 ) 0.029 * * [simplify]: iteration 1 : 71 enodes (cost 7 ) 0.029 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.031 * * * * [pick]: Picked # 0.031 * * * [progress]: localizing error 0.036 * * * [progress]: generating rewritten candidates 0.036 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.045 * * * [progress]: generating series expansions 0.045 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.045 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.045 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.045 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.045 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.047 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.047 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.047 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.047 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.051 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.051 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.051 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.051 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.051 * [taylor]: Taking taylor expansion of 1.0 in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.051 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.051 * [taylor]: Taking taylor expansion of -1 in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.051 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.051 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.051 * [taylor]: Taking taylor expansion of 1.0 in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.051 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.051 * [taylor]: Taking taylor expansion of -1 in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.055 * * * [progress]: simplifying candidates 0.055 * [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)) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (+ (* x NAN) (* (pow x 2) (pow NAN 3))))) (- (+ (* 1.0 (/ NAN x)) (+ (* 6.0 (/ (pow NAN 5) (pow x 3))) (/ (pow NAN 5) (pow x 2)))) (+ (* 1.0 (/ (pow NAN 3) (pow x 3))) (+ (* 2.0 (/ (pow NAN 3) (pow x 2))) (+ (* 2 (/ (pow NAN 3) x)) (* 6 (/ (pow NAN 7) (pow x 3))))))) (- (+ (* 1.0 (/ (pow NAN 3) (pow x 3))) (+ (* 2 (/ (pow NAN 3) x)) (+ (* 6 (/ (pow NAN 7) (pow x 3))) (/ (pow NAN 5) (pow x 2))))) (+ (* 1.0 (/ NAN x)) (+ (* 6.0 (/ (pow NAN 5) (pow x 3))) (* 2.0 (/ (pow NAN 3) (pow x 2)))))) 0.080 * * [simplify]: iteration 0 : 5102 enodes (cost 335 ) 0.082 * [simplify]: Simplified to: (exp (- (sqrt (+ x 1.0)) (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (pow (- (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow x 3/2)) (+ x (+ x (+ (* (sqrt (+ x 1.0)) (sqrt x)) 1.0))) (neg (sqrt x)) 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) (- (* (* (/ x (sqrt 1.0)) (/ x 1.0)) -1/8) (* x (+ NAN (* x (pow NAN 3))))))) (+ (* (+ (/ 6.0 x) 1) (/ (pow NAN 5) (* x x))) (+ (* 1.0 (- (/ NAN x) (pow (/ NAN x) 3))) (- (* (/ (pow NAN 7) (pow x 3)) -6) (* (/ (pow NAN 3) x) (+ (/ 2.0 x) 2))))) (+ (/ (pow NAN 5) (* x x)) (+ (+ (* 2 (/ (pow NAN 3) x)) (* 6 (/ (pow NAN 7) (pow x 3)))) (- (* 1.0 (- (pow (/ NAN x) 3) (/ NAN x))) (+ (* 6.0 (/ (pow NAN 5) (pow x 3))) (* 2.0 (/ (pow NAN 3) (* x x))))))) 0.082 * * * [progress]: adding candidates to table 0.121 * * [progress]: iteration 2 / 4 0.121 * * * [progress]: picking best candidate 0.126 * * * * [pick]: Picked # 0.126 * * * [progress]: localizing error 0.132 * * * [progress]: generating rewritten candidates 0.132 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.141 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.150 * * * [progress]: generating series expansions 0.151 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.151 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.151 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.151 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.151 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.155 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.155 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.155 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.155 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.155 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.155 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.155 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.155 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.158 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.158 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.158 * [taylor]: Taking taylor expansion of 1.0 in x 0.158 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.158 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.158 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.158 * [taylor]: Taking taylor expansion of -1 in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.158 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.158 * [taylor]: Taking taylor expansion of 1.0 in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.158 * [taylor]: Taking taylor expansion of 1.0 in x 0.158 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.158 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.158 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.158 * [taylor]: Taking taylor expansion of -1 in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.158 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.158 * [taylor]: Taking taylor expansion of 1.0 in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.160 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.160 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.161 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.161 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of 1.0 in x 0.161 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.161 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of 1.0 in x 0.161 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.162 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.162 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.162 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.162 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.162 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.162 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.164 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.164 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.164 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.164 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.164 * [taylor]: Taking taylor expansion of -1 in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.164 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.164 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.166 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.166 * [taylor]: Taking taylor expansion of -1 in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.166 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.168 * * * [progress]: simplifying candidates 0.169 * [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)) (- (+ (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5))) (+ (* 1.0 (/ 1 (sqrt 1.0))) (+ (* 1.0 (/ (* (pow x 2) (pow NAN 2)) (pow (sqrt 1.0) 3))) (* 1.0 (/ (* (pow x 2) NAN) (pow (sqrt 1.0) 4)))))) (+ (* 1.0 (/ (* x NAN) (pow (sqrt 1.0) 2))) (+ (* 1.0 (/ (* (pow x 2) (pow NAN 3)) (pow (sqrt 1.0) 2))) (* 0.5 (/ x (pow (sqrt 1.0) 3)))))) (- (+ (* 0.125 (/ 1 (* (pow x 2) NAN))) (+ (* 0.5 (/ NAN (pow x 2))) (* 0.5 (/ 1 NAN)))) (+ (* 0.75 (/ (pow NAN 3) (pow x 2))) (* 0.25 (/ 1 (* x NAN))))) (- (+ (* 0.125 (/ 1 (* (pow x 2) NAN))) (+ (* 0.5 (/ NAN (pow x 2))) (+ (* 0.25 (/ 1 (* x NAN))) (* 0.5 (/ 1 NAN))))) (* 0.75 (/ (pow NAN 3) (pow x 2)))) (- (+ (sqrt 1.0) (+ (* x NAN) (+ (* 1/2 (/ x (sqrt 1.0))) (* (pow x 2) (pow NAN 3))))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 1.0 (/ NAN x)) (+ (* 2 NAN) (* 3 (/ (pow NAN 5) (pow x 2))))) (* 2.0 (/ (pow NAN 3) (pow x 2)))) (- (+ (* 2 NAN) (* 3 (/ (pow NAN 5) (pow x 2)))) (+ (* 1.0 (/ NAN x)) (* 2.0 (/ (pow NAN 3) (pow x 2))))) 0.187 * * [simplify]: iteration 0 : 5138 enodes (cost 866 ) 0.191 * [simplify]: Simplified to: (log (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (pow (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 3) (* (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (pow (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 3) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (neg 1.0) (- (neg (sqrt x)) (sqrt (+ 1.0 x))) (* (/ (cbrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (/ (cbrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 1.0 1.0 1.0 1.0 (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) 1.0) (/ 1.0 (+ (pow (sqrt (+ 1.0 x)) 3) (* x (sqrt x)))) (/ 1.0 (+ 1.0 0)) (exp (+ (sqrt (+ 1.0 x)) (sqrt x))) (log (+ (sqrt (+ 1.0 x)) (sqrt x))) (exp (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (pow (+ (sqrt (+ 1.0 x)) (sqrt x)) 3) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ (pow (sqrt (+ 1.0 x)) 3) (* x (sqrt x))) (+ 1.0 (+ x (- x (* (sqrt (+ 1.0 x)) (sqrt x))))) (+ 1.0 0) (- (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (* 0.375 (/ x (/ (pow (sqrt 1.0) 5) x))) (- (* 1.0 (- (+ (/ 1 (sqrt 1.0)) (* (/ (* x x) 1.0) (+ (/ (* NAN NAN) (sqrt 1.0)) (/ NAN 1.0)))) (+ (* NAN (/ x 1.0)) (* (/ (* x x) 1.0) (pow NAN 3))))) (* 0.5 (/ x (* 1.0 (sqrt 1.0)))))) (+ (/ 0.125 (* x (* x NAN))) (+ (* 0.5 (/ NAN (* x x))) (- (/ 0.5 NAN) (+ (* 0.75 (/ (pow NAN 3) (* x x))) (/ 0.25 (* x NAN)))))) (+ (/ 0.125 (* x (* x NAN))) (+ (* 0.5 (/ NAN (* x x))) (+ (/ 0.5 NAN) (- (/ 0.25 (* x NAN)) (* 0.75 (/ (pow NAN 3) (* x x))))))) (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) (+ (* x (+ (* x (pow NAN 3)) NAN)) (* (/ x (sqrt 1.0)) (* (/ x 1.0) -1/8))))) (+ (* 1.0 (/ NAN x)) (+ (* 2 NAN) (- (* 3 (/ (pow NAN 5) (* x x))) (* (/ (pow NAN 3) (* x x)) 2.0)))) (+ (* 2 NAN) (- (* 3 (/ (pow NAN 5) (* x x))) (+ (* 1.0 (/ NAN x)) (* (/ (pow NAN 3) (* x x)) 2.0)))) 0.191 * * * [progress]: adding candidates to table 0.280 * * [progress]: iteration 3 / 4 0.280 * * * [progress]: picking best candidate 0.299 * * * * [pick]: Picked # 0.299 * * * [progress]: localizing error 0.307 * * * [progress]: generating rewritten candidates 0.307 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.327 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.347 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.358 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.371 * * * [progress]: generating series expansions 0.371 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.371 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.371 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.371 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.371 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of 1.0 in x 0.371 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.371 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.371 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of 1.0 in x 0.371 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.373 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 0.373 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.373 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 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 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.373 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.373 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 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 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.375 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.375 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.375 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.375 * [taylor]: Taking taylor expansion of -1 in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.375 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.375 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.375 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.375 * [taylor]: Taking taylor expansion of -1 in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.375 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.377 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.377 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.377 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.377 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.377 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.377 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.377 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.377 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.377 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.381 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 0.381 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.381 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.381 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.381 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.381 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.383 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.383 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.383 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.383 * [taylor]: Taking taylor expansion of -1 in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.384 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.384 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.384 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.384 * [taylor]: Taking taylor expansion of -1 in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.384 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.386 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 0.386 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.386 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.386 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.386 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.386 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of 1.0 in x 0.386 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.386 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.386 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.386 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.389 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 0.389 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.389 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.389 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.390 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.390 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.393 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.393 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.393 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.393 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.393 * [taylor]: Taking taylor expansion of -1 in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.393 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.394 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.394 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.394 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.394 * [taylor]: Taking taylor expansion of -1 in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.394 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.396 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.397 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.397 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.397 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.397 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.397 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of 1.0 in x 0.397 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.397 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.397 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.397 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of 1.0 in x 0.397 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.400 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 0.400 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.400 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.400 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.400 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.400 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of 1.0 in x 0.403 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.403 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 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 -1 in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.403 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.403 * [taylor]: Taking taylor expansion of 1.0 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 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.404 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.404 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.404 * [taylor]: Taking taylor expansion of -1 in x 0.404 * [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 0.407 * * * [progress]: simplifying candidates 0.409 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* 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(+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3))) (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3)))) (* (sqrt (+ (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3))) (sqrt (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x))))) (* (sqrt (+ (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (- (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x)))) (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3)))) (* (sqrt (- (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x)))) (sqrt (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x))))) (* (sqrt (- (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (- (sqrt (+ 1.0 x)) (sqrt x)))) (* (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 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(sqrt x) (sqrt x))))) (* (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (- (log 1.0) (+ (log (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (- (log 1.0) (log (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (log (/ 1.0 (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (exp (/ 1.0 (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (/ (* (* 1.0 1.0) 1.0) (* (* (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (/ (* (* 1.0 1.0) 1.0) (* (* (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (+ 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1.0)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 1.0) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt 1.0)) (/ (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0)) (/ (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 1.0) (/ 1.0 (* (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3))) (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3))))) (/ 1.0 (* (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3))) (sqrt (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 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(sqrt (sqrt 1.0)) (* 1/2 (* (* (pow x 2) (pow NAN 3)) (sqrt (/ 1 (sqrt 1.0)))))))) (+ (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7))))) (+ (* 1/8 (* (* (pow x 2) (pow NAN 2)) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/8 (* (* (pow x 2) NAN) (sqrt (/ 1 (pow (sqrt 1.0) 5)))))))) (- (+ (* (sqrt NAN) (sqrt 2)) (+ (* 0.5 (* (/ 1 (* x (sqrt 2))) (sqrt NAN))) (* 3/2 (* (sqrt (pow NAN 9)) (/ 1 (* (pow x 2) (sqrt 2))))))) (+ (* 0.125 (* (sqrt NAN) (/ 1 (* (pow x 2) (pow (sqrt 2) 3))))) (* 1.0 (* (sqrt (pow NAN 5)) (/ 1 (* (pow x 2) (sqrt 2))))))) (- (+ (* (sqrt NAN) (sqrt 2)) (* 3/2 (* (sqrt (pow NAN 9)) (/ 1 (* (pow x 2) (sqrt 2)))))) (+ (* 0.125 (* (sqrt NAN) (/ 1 (* (pow x 2) (pow (sqrt 2) 3))))) (+ (* 0.5 (* (/ 1 (* x (sqrt 2))) (sqrt NAN))) (* 1.0 (* (sqrt (pow NAN 5)) (/ 1 (* (pow x 2) (sqrt 2)))))))) 0.449 * * [simplify]: iteration 0 : 5254 enodes (cost 2070 ) 0.457 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) 4) (+ (sqrt (+ 1.0 x)) (sqrt x)) (pow (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) 4) 2 (log (+ (sqrt (+ 1.0 x)) (sqrt x))) (log (+ (sqrt (+ 1.0 x)) (sqrt x))) (exp (+ (sqrt (+ 1.0 x)) (sqrt x))) (pow (+ (sqrt (+ 1.0 x)) (sqrt x)) 3) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (pow (+ (sqrt (+ 1.0 x)) (sqrt x)) 3) (pow (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) 4) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ (pow (sqrt (+ 1.0 x)) 3) (pow x 3/2)) (+ 1.0 (+ x (- x (* (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow x 3/2))) (sqrt (+ 1.0 0))) (* (sqrt (+ 1.0 (+ x (- x (* (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (- (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow x 3/2))) (sqrt (+ 1.0 0))) (* (sqrt (+ 1.0 (+ x (- x (* (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (- (sqrt (+ 1.0 x)) (sqrt x)))) (+ 1.0 0) (- (sqrt (+ 1.0 x)) (sqrt x)) (pow (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 4) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (+ (sqrt (+ 1.0 x)) (sqrt x)) 1 (+ (sqrt (+ 1.0 x)) (sqrt x)) 1 (+ (sqrt (+ 1.0 x)) (sqrt x)) 1 (+ (sqrt (+ 1.0 x)) (sqrt x)) 1 (+ (sqrt (+ 1.0 x)) (sqrt x)) 1 (+ (sqrt (+ 1.0 x)) (sqrt x)) 1 (+ (sqrt (+ 1.0 x)) (sqrt x)) 1 (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 2 1 (pow (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 5) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (fabs (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (pow (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 3) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (pow (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 3) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (pow (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 4) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (pow (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 3) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (pow (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 3) (+ (sqrt (+ 1.0 x)) (sqrt x)) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow x 3/2)))) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ 1.0 0))) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow x 3/2)))) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ 1.0 0))) (log (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (pow (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 3) (pow (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 3) (* (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (pow (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 3) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (neg 1.0) (- (neg (sqrt x)) (sqrt (+ 1.0 x))) (* (cbrt 1.0) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) 1.0) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) 1.0) (/ 1.0 (+ (pow (sqrt (+ 1.0 x)) 3) (pow x 3/2))) (/ 1.0 (* (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow x 3/2))) (sqrt (+ 1.0 0)))) (/ 1.0 (* (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow x 3/2))) (sqrt (+ 1.0 0)))) (/ 1.0 (+ 1.0 0)) (/ 1.0 (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow x 3/2))))) (/ 1.0 (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ 1.0 0)))) (/ 1.0 (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow x 3/2))))) (/ 1.0 (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ 1.0 0)))) (log (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (exp (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (pow (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) 3) (fabs (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow x 3/2))) (sqrt (+ 1.0 (+ x (- x (* (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (+ 1.0 0)) (sqrt (- (sqrt (+ 1.0 x)) (sqrt x))) 1/2 (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (exp (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (pow (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) 3) (fabs (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (pow (sqrt (+ 1.0 x)) 3) (pow x 3/2))) (sqrt (+ 1.0 (+ x (- x (* (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (+ 1.0 0)) (sqrt (- (sqrt (+ 1.0 x)) (sqrt x))) 1/2 (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) (+ (* x (+ (* x (pow NAN 3)) NAN)) (* (* (/ x (sqrt 1.0)) (/ x 1.0)) -1/8)))) (+ (* 1.0 (/ NAN x)) (+ (* 2 NAN) (- (* 3 (/ (pow NAN 5) (* x x))) (* 2.0 (/ (pow NAN 3) (* x x)))))) (+ (* 2 NAN) (- (* 3 (/ (pow NAN 5) (* x x))) (+ (* 1.0 (/ NAN x)) (* 2.0 (/ (pow NAN 3) (* x x)))))) (+ (* 0.375 (/ x (/ (pow (sqrt 1.0) 5) x))) (- (* 1.0 (- (+ (/ 1 (sqrt 1.0)) (* (/ (* x x) 1.0) (+ (/ (* NAN NAN) (sqrt 1.0)) (/ NAN 1.0)))) (+ (* (/ x 1.0) NAN) (* (/ (* x x) 1.0) (pow NAN 3))))) (* 0.5 (/ x (* 1.0 (sqrt 1.0)))))) (+ (/ 0.125 (* x (* x NAN))) (+ (* 0.5 (/ NAN (* x x))) (- (/ 0.5 NAN) (+ (* (/ (pow NAN 3) (* x x)) 0.75) (/ 0.25 (* x NAN)))))) (+ (/ 0.125 (* x (* x NAN))) (+ (* 0.5 (/ NAN (* x x))) (+ (/ 0.5 NAN) (- (/ 0.25 (* x NAN)) (* (/ (pow NAN 3) (* x x)) 0.75))))) (+ (* x (* (sqrt (/ 1 (* 1.0 (sqrt 1.0)))) 1/4)) (+ (sqrt (sqrt 1.0)) (+ (* (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) (* x (+ (* x (pow NAN 3)) NAN))) (+ (* (* (* x x) (* NAN (+ (* NAN (sqrt (/ 1 (* 1.0 (sqrt 1.0))))) (sqrt (/ 1 (pow (sqrt 1.0) 5)))))) -1/8) (* (* x (* x (sqrt (/ 1 (pow (sqrt 1.0) 7))))) -3/32))))) (+ (* 0.5 (/ (sqrt NAN) (* x (sqrt 2)))) (+ (* 3/2 (/ (sqrt (pow NAN 9)) (* x (* x (sqrt 2))))) (- (* (sqrt NAN) (- (sqrt 2) (/ 0.125 (* 2 (* x (* x (sqrt 2))))))) (* 1.0 (/ (sqrt (pow NAN 5)) (* x (* x (sqrt 2)))))))) (+ (* (sqrt NAN) (sqrt 2)) (- (* 3/2 (/ (sqrt (pow NAN 9)) (* x (* x (sqrt 2))))) (+ (* 1.0 (/ (sqrt (pow NAN 5)) (* x (* x (sqrt 2))))) (* (sqrt NAN) (+ (/ 0.5 (* x (sqrt 2))) (/ 0.125 (* 2 (* x (* x (sqrt 2)))))))))) (+ (* x (* (sqrt (/ 1 (* 1.0 (sqrt 1.0)))) 1/4)) (+ (sqrt (sqrt 1.0)) (+ (* (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) (* x (+ (* x (pow NAN 3)) NAN))) (+ (* (* (* x x) (* NAN (+ (* NAN (sqrt (/ 1 (* 1.0 (sqrt 1.0))))) (sqrt (/ 1 (pow (sqrt 1.0) 5)))))) -1/8) (* (* x (* x (sqrt (/ 1 (pow (sqrt 1.0) 7))))) -3/32))))) (+ (* 0.5 (/ (sqrt NAN) (* x (sqrt 2)))) (+ (* 3/2 (/ (sqrt (pow NAN 9)) (* x (* x (sqrt 2))))) (- (* (sqrt NAN) (- (sqrt 2) (/ 0.125 (* 2 (* x (* x (sqrt 2))))))) (* 1.0 (/ (sqrt (pow NAN 5)) (* x (* x (sqrt 2)))))))) (+ (* (sqrt NAN) (sqrt 2)) (- (* 3/2 (/ (sqrt (pow NAN 9)) (* x (* x (sqrt 2))))) (+ (* 1.0 (/ (sqrt (pow NAN 5)) (* x (* x (sqrt 2))))) (* (sqrt NAN) (+ (/ 0.5 (* x (sqrt 2))) (/ 0.125 (* 2 (* x (* x (sqrt 2)))))))))) 0.458 * * * [progress]: adding candidates to table 0.669 * * [progress]: iteration 4 / 4 0.669 * * * [progress]: picking best candidate 0.695 * * * * [pick]: Picked # 0.695 * * * [progress]: localizing error 0.708 * * * [progress]: generating rewritten candidates 0.708 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.735 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.745 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.756 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.798 * * * [progress]: generating series expansions 0.798 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.798 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.798 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.798 * [taylor]: Taking taylor expansion of 1.0 in x 0.798 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.798 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.798 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of 1.0 in x 0.798 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.798 * [taylor]: Taking taylor expansion of 1.0 in x 0.798 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.798 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.798 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of 1.0 in x 0.798 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.802 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (* (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))))) in (x) around 0 0.802 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (* (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))))) in x 0.802 * [taylor]: Taking taylor expansion of 1.0 in x 0.802 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 0.802 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.802 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.802 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.802 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.802 * [taylor]: Taking taylor expansion of 1.0 in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.802 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.803 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.803 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.803 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of 1.0 in x 0.805 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (* (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))))) in x 0.805 * [taylor]: Taking taylor expansion of 1.0 in x 0.805 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 0.805 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 0.805 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.805 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.805 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.805 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.806 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.806 * [taylor]: Taking taylor expansion of 1.0 in x 0.806 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.806 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.806 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.806 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.806 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of 1.0 in x 0.813 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.813 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.813 * [taylor]: Taking taylor expansion of 1.0 in x 0.813 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.813 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.813 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.814 * [taylor]: Taking taylor expansion of -1 in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.814 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.814 * [taylor]: Taking taylor expansion of 1.0 in x 0.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.814 * [taylor]: Taking taylor expansion of 1.0 in x 0.814 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.814 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.814 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.814 * [taylor]: Taking taylor expansion of -1 in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.814 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.814 * [taylor]: Taking taylor expansion of 1.0 in x 0.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.823 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.823 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 0.823 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 0.823 * [taylor]: Taking taylor expansion of 1.0 in x 0.823 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.823 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.823 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.823 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of 1.0 in x 0.823 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 0.824 * [taylor]: Taking taylor expansion of 1.0 in x 0.824 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 0.824 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.824 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.824 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.824 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of 1.0 in x 0.824 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.830 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in (x) around 0 0.830 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 0.830 * [taylor]: Taking taylor expansion of 1.0 in x 0.830 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 0.830 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.830 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.830 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.830 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.830 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.830 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of 1.0 in x 0.831 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 0.831 * [taylor]: Taking taylor expansion of 1.0 in x 0.831 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 0.831 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.831 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.831 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.831 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.831 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.831 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of 1.0 in x 0.836 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 0.836 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 0.836 * [taylor]: Taking taylor expansion of 1.0 in x 0.836 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 0.836 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.836 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.836 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.836 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.836 * [taylor]: Taking taylor expansion of -1 in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.836 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.836 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.836 * [taylor]: Taking taylor expansion of 1.0 in x 0.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 0.837 * [taylor]: Taking taylor expansion of 1.0 in x 0.837 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.837 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.837 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.837 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.837 * [taylor]: Taking taylor expansion of -1 in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.837 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.837 * [taylor]: Taking taylor expansion of 1.0 in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.841 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.842 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.842 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.842 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.842 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.842 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of 1.0 in x 0.842 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.842 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.842 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.842 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of 1.0 in x 0.842 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.845 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 0.845 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.845 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.845 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.845 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of 1.0 in x 0.845 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.845 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.845 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.845 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of 1.0 in x 0.848 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.848 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.848 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.848 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.848 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.848 * [taylor]: Taking taylor expansion of -1 in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.848 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.848 * [taylor]: Taking taylor expansion of 1.0 in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.849 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.849 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.849 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.849 * [taylor]: Taking taylor expansion of -1 in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.849 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.849 * [taylor]: Taking taylor expansion of 1.0 in x 0.849 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.852 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.852 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.852 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.852 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.852 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.852 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of 1.0 in x 0.852 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.852 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.852 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.852 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of 1.0 in x 0.853 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.855 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.855 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.855 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.855 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.855 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.855 * [taylor]: Taking taylor expansion of 1.0 in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.856 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.856 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.856 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.856 * [taylor]: Taking taylor expansion of 1.0 in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.859 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.859 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.859 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.859 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.859 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.859 * [taylor]: Taking taylor expansion of -1 in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.859 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.859 * [taylor]: Taking taylor expansion of 1.0 in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.859 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.859 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.859 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.859 * [taylor]: Taking taylor expansion of -1 in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.859 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.859 * [taylor]: Taking taylor expansion of 1.0 in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.862 * * * [progress]: simplifying candidates 0.872 * [simplify]: Simplifying using # : (- (- (log 1.0) (log (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (log (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (exp (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (* (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (neg (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (neg (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (sqrt 1))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (sqrt 1))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) 1) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt 1)) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt 1))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt 1))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt 1)) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) 1) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) 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2))))) (+ (* 1.0 (/ (sqrt (pow NAN 5)) (* x (* x (sqrt 2))))) (* (sqrt NAN) (+ (/ 0.5 (* x (sqrt 2))) (* (/ 1 (* x (* x (* 2 (sqrt 2))))) 0.125)))))) 0.983 * * * [progress]: adding candidates to table 1.539 * [progress]: [Phase 3 of 3] Extracting. 1.539 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.542 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.542 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 1.598 * * * [regime]: Found split indices: #