2.824 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.043 * * * [progress]: [2/2] Setting up program. 0.045 * [progress]: [Phase 2 of 3] Improving. 0.046 * [simplify]: Simplifying using # : (log (+ x (sqrt (- (* x x) 1.0)))) 0.048 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.049 * * [simplify]: iteration 1 : 11 enodes (cost 5 ) 0.050 * * [simplify]: iteration 2 : 11 enodes (cost 5 ) 0.050 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1.0)))) 0.051 * * [progress]: iteration 1 / 4 0.051 * * * [progress]: picking best candidate 0.052 * * * * [pick]: Picked # 0.052 * * * [progress]: localizing error 0.063 * * * [progress]: generating rewritten candidates 0.063 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.067 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.076 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.086 * * * [progress]: generating series expansions 0.086 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.086 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.086 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.086 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.088 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.106 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.106 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.106 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.108 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.121 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.121 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of 1.0 in x 0.123 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.123 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.135 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.136 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 0.136 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.136 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.136 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.143 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.143 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.154 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.154 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.154 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.154 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.157 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.157 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.173 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.173 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.173 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.173 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.176 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.204 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.204 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in (x) around 0 0.204 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 0.204 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.204 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.204 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of 1.0 in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 0.208 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.209 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.209 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of 1.0 in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.266 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.266 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.266 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.266 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.266 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of 1.0 in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.269 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.269 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of 1.0 in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.325 * [approximate]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.325 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.325 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.325 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.325 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.335 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.335 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.335 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.409 * * * [progress]: simplifying candidates 0.410 * [simplify]: Simplifying using # : (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (* (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (sqrt (- (* x x) 1.0))) (sqrt (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt 1) (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (* (exp x) (exp (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (* (* (+ x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0)))) (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0))))) (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)))) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (log (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0)))))) (log (cbrt (+ x (sqrt (- (* x x) 1.0))))) (log (sqrt (+ x (sqrt (- (* x x) 1.0))))) (log (sqrt (+ x (sqrt (- (* x x) 1.0))))) (log 1) (log (+ x (sqrt (- (* x x) 1.0)))) (log 1) (log (+ x (sqrt (- (* x x) 1.0)))) (log (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3))) (log (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0)))))) (log (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))))) (log (- x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (log (log (+ x (sqrt (- (* x x) 1.0))))) (exp (log (+ x (sqrt (- (* x x) 1.0))))) (* (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0)))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (* (* (log (+ x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0))))) (log (+ x (sqrt (- (* x x) 1.0))))) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x)))) (- (+ (log (sqrt (- 1.0))) (/ x (sqrt (- 1.0)))) (* 1/6 (/ (pow x 3) (pow (sqrt (- 1.0)) 3)))) (- (log 2) (+ (log (/ 1 x)) (+ (* 0.09375 (/ 1 (pow x 4))) (* 0.25 (/ 1 (pow x 2)))))) (- (+ (* 0.25 (/ 1 (pow x 2))) (+ (* 0.125 (/ 1 (pow x 4))) (+ (log (- 0.5)) (log (/ -1 x))))) (* 0.0078125 (/ 1 (* (pow x 4) (pow -0.5 2))))) 0.415 * * [simplify]: iteration 0 : 316 enodes (cost 408 ) 0.420 * * [simplify]: iteration 1 : 1042 enodes (cost 379 ) 0.438 * * [simplify]: iteration 2 : 4663 enodes (cost 366 ) 0.541 * * [simplify]: iteration 3 : 5002 enodes (cost 365 ) 0.543 * [simplify]: Simplified to: (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (pow (sqrt (- (* x x) 1.0)) 3) (fabs (cbrt (- (* x x) 1.0))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) 1 (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) 1/2 (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (exp (+ x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (pow (+ x (sqrt (- (* x x) 1.0))) 3) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (- (* x (+ x x)) (+ 1.0 (* x (sqrt (- (* x x) 1.0))))) (+ 0 1.0) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (* 2 (log (cbrt (+ x (sqrt (- (* x x) 1.0)))))) (log (cbrt (+ x (sqrt (- (* x x) 1.0))))) (log (sqrt (+ x (sqrt (- (* x x) 1.0))))) (log (sqrt (+ x (sqrt (- (* x x) 1.0))))) 0 (log (+ x (sqrt (- (* x x) 1.0)))) 0 (log (+ x (sqrt (- (* x x) 1.0)))) (log (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3))) (log (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0)))))) (log (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))))) (log (- x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (log (log (+ x (sqrt (- (* x x) 1.0))))) (+ x (sqrt (- (* x x) 1.0))) (* (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0)))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- (- x (/ 0.125 (pow x 3))) (* 0.5 (/ 1 x))) (- (* (/ 1 x) (+ (/ 0.125 (pow x 2)) 0.5)) x) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) (+ (* 2 x) (- (/ (- 0.5) x) (/ 0.125 (pow x 3)))) (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x)))) (- (+ (log (sqrt (- 1.0))) (/ x (sqrt (- 1.0)))) (* 1/6 (/ (pow x 3) (pow (sqrt (- 1.0)) 3)))) (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))) (+ (+ (log (- 0.5)) (log (/ -1 x))) (+ (* (/ 1 (pow x 4)) (- 0.125 (/ 0.0078125 (pow -0.5 2)))) (/ (/ 0.25 x) x))) 0.543 * * * [progress]: adding candidates to table 0.668 * * [progress]: iteration 2 / 4 0.668 * * * [progress]: picking best candidate 0.672 * * * * [pick]: Picked # 0.672 * * * [progress]: localizing error 0.683 * * * [progress]: generating rewritten candidates 0.683 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.715 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.717 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.721 * * * [progress]: generating series expansions 0.721 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.722 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 0.722 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.722 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.722 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.722 * [taylor]: Taking taylor expansion of 1.0 in x 0.723 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.723 * [taylor]: Taking taylor expansion of 1.0 in x 0.732 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.732 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.732 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.732 * [taylor]: Taking taylor expansion of 1.0 in x 0.733 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.733 * [taylor]: Taking taylor expansion of 1.0 in x 0.776 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.776 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.776 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.776 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.776 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.776 * [taylor]: Taking taylor expansion of 1.0 in x 0.777 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.777 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.777 * [taylor]: Taking taylor expansion of 1.0 in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.789 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.789 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.789 * [taylor]: Taking taylor expansion of 1.0 in x 0.790 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.790 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.790 * [taylor]: Taking taylor expansion of 1.0 in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.821 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.821 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.822 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.822 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.822 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.822 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.822 * [taylor]: Taking taylor expansion of 1.0 in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.824 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.824 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.824 * [taylor]: Taking taylor expansion of 1.0 in x 0.825 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.827 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.827 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.827 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.827 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.827 * [taylor]: Taking taylor expansion of 1.0 in x 0.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.828 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.829 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.829 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.829 * [taylor]: Taking taylor expansion of 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 0.918 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.919 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in (x) around 0 0.919 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.919 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.919 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.919 * [taylor]: Taking taylor expansion of 1.0 in x 0.919 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.920 * [taylor]: Taking taylor expansion of 1.0 in x 0.928 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.928 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.928 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.928 * [taylor]: Taking taylor expansion of 1.0 in x 0.929 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.929 * [taylor]: Taking taylor expansion of 1.0 in x 0.961 * [approximate]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 0.962 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.962 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.962 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.962 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.962 * [taylor]: Taking taylor expansion of 1.0 in x 0.963 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.963 * [taylor]: Taking taylor expansion of 1.0 in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.970 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.970 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.970 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.970 * [taylor]: Taking taylor expansion of 1.0 in x 0.971 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.971 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.971 * [taylor]: Taking taylor expansion of 1.0 in x 0.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.978 * [taylor]: Taking taylor expansion of x in x 1.010 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 1.010 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.010 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.010 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.010 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.010 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.010 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.010 * [taylor]: Taking taylor expansion of 1.0 in x 1.011 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.013 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.013 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.013 * [taylor]: Taking taylor expansion of 1.0 in x 1.014 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.014 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.016 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.016 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.016 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.016 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.016 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.016 * [taylor]: Taking taylor expansion of 1.0 in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.019 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.019 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.019 * [taylor]: Taking taylor expansion of 1.0 in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.021 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.021 * [taylor]: Taking taylor expansion of x in x 1.066 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.066 * [approximate]: Taking taylor expansion of (log (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in (x) around 0 1.066 * [taylor]: Taking taylor expansion of (log (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 1.067 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.067 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.067 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.067 * [taylor]: Taking taylor expansion of 1.0 in x 1.067 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.067 * [taylor]: Taking taylor expansion of 1.0 in x 1.080 * [taylor]: Taking taylor expansion of (log (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 1.080 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.080 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.080 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.080 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.080 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.080 * [taylor]: Taking taylor expansion of 1.0 in x 1.081 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.081 * [taylor]: Taking taylor expansion of x in x 1.081 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.081 * [taylor]: Taking taylor expansion of 1.0 in x 1.175 * [approximate]: Taking taylor expansion of (log (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in (x) around 0 1.175 * [taylor]: Taking taylor expansion of (log (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.175 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.175 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.175 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.175 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.176 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.176 * [taylor]: Taking taylor expansion of 1.0 in x 1.176 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.176 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.176 * [taylor]: Taking taylor expansion of 1.0 in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.184 * [taylor]: Taking taylor expansion of (log (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.184 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.184 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.184 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.184 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.184 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.185 * [taylor]: Taking taylor expansion of 1.0 in x 1.185 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.185 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.185 * [taylor]: Taking taylor expansion of 1.0 in x 1.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.186 * [taylor]: Taking taylor expansion of x in x 1.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.198 * [taylor]: Taking taylor expansion of x in x 1.282 * [approximate]: Taking taylor expansion of (log (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in (x) around 0 1.282 * [taylor]: Taking taylor expansion of (log (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.282 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.283 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.283 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.283 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.283 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.283 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.283 * [taylor]: Taking taylor expansion of 1.0 in x 1.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.283 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.285 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.285 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.285 * [taylor]: Taking taylor expansion of 1.0 in x 1.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.289 * [taylor]: Taking taylor expansion of (log (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.289 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.289 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.290 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.290 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.290 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.290 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.290 * [taylor]: Taking taylor expansion of 1.0 in x 1.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.290 * [taylor]: Taking taylor expansion of x in x 1.292 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.292 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.292 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.292 * [taylor]: Taking taylor expansion of 1.0 in x 1.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.293 * [taylor]: Taking taylor expansion of x in x 1.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.295 * [taylor]: Taking taylor expansion of x in x 1.352 * * * [progress]: simplifying candidates 1.354 * [simplify]: Simplifying using # : (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (+ (log (sqrt (+ x (sqrt 1.0)))) (log (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (* (sqrt (- x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))))) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (* (cbrt (- x (sqrt 1.0))) (cbrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) 1) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (exp x) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (exp (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (* (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3)) (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (- (* x x) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (log (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log 1) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3))) (log (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (log (- (* x x) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (exp (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (* (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (* (* (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (sqrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (sqrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- +nan.0))))))))))) (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (- (* 2 x) (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- x (+ +nan.0 (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (* +nan.0 (/ 1 x))))))) (- (+ (log (sqrt (* -1 (pow (sqrt 1.0) 2)))) (/ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (* 1/6 (/ (pow x 3) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- (log 2) (+ (log (/ 1 x)) (+ (* 1/4 (/ (pow (sqrt 1.0) 2) (pow x 2))) (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)))))) (- (log -1) (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (log (/ -1 x)) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) 1.367 * * [simplify]: iteration 0 : 440 enodes (cost 941 ) 1.374 * * [simplify]: iteration 1 : 1553 enodes (cost 864 ) 1.401 * * [simplify]: iteration 2 : 5001 enodes (cost 848 ) 1.405 * [simplify]: Simplified to: (- (pow x 2) 1.0) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (- (pow x 2) 1.0) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3) (- (pow x 2) 1.0) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (- (pow x 2) 1.0) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (fabs (cbrt (- x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (exp (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (exp (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (pow (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) 3) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3)) (- (* x (+ x x)) (+ 1.0 (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (+ 0 1.0) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* 2 (log (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (log (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) 0 (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3))) (log (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (+ (log (+ x (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))))) (log (- x (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))))) (log (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (pow (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) 3) (sqrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (sqrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- (- x (/ (* 1/2 1.0) x)) (/ (* (* 1.0 1.0) 1/8) (pow x 3))) (+ (+ (/ (- (* +nan.0 1.0)) (pow x 2)) (* (/ +nan.0 x) (- (/ (sqrt 1.0) x) (/ 1 x)))) (* +nan.0 (- 1 (- (/ (sqrt 1.0) x) (/ 1 x))))) (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (- (- (* 2 x) (/ (* 1/2 1.0) x)) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (+ (- x +nan.0) (* +nan.0 (- (/ (sqrt 1.0) x) (/ 1 x)))) (- (+ (log (sqrt (* -1 (pow (sqrt 1.0) 2)))) (/ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (* 1/6 (/ (pow x 3) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (+ (log 2) (- (- (log x) (/ (* (* 1.0 1.0) 3/32) (pow x 4))) (/ (* 1/4 1.0) (pow x 2)))) (- (+ (- (- (log -1) (* +nan.0 (/ (sqrt 1.0) (pow x 2)))) (log (/ -1 x))) (/ +nan.0 (pow x 2))) (/ +nan.0 x)) 1.405 * * * [progress]: adding candidates to table 1.617 * * [progress]: iteration 3 / 4 1.617 * * * [progress]: picking best candidate 1.620 * * * * [pick]: Picked # 1.620 * * * [progress]: localizing error 1.638 * * * [progress]: generating rewritten candidates 1.638 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.737 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 1.774 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.809 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1) 1.841 * * * [progress]: generating series expansions 1.841 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.843 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 1.843 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.843 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.843 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.843 * [taylor]: Taking taylor expansion of x in x 1.843 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.843 * [taylor]: Taking taylor expansion of 1.0 in x 1.844 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.844 * [taylor]: Taking taylor expansion of x in x 1.844 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.844 * [taylor]: Taking taylor expansion of 1.0 in x 1.852 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.852 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.852 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.852 * [taylor]: Taking taylor expansion of x in x 1.852 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.852 * [taylor]: Taking taylor expansion of 1.0 in x 1.853 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.853 * [taylor]: Taking taylor expansion of x in x 1.853 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.853 * [taylor]: Taking taylor expansion of 1.0 in x 1.895 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.895 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.895 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.895 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.896 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.896 * [taylor]: Taking taylor expansion of 1.0 in x 1.896 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.896 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.896 * [taylor]: Taking taylor expansion of 1.0 in x 1.897 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.897 * [taylor]: Taking taylor expansion of x in x 1.903 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.903 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.903 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.903 * [taylor]: Taking taylor expansion of x in x 1.904 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.904 * [taylor]: Taking taylor expansion of 1.0 in x 1.904 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.904 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.904 * [taylor]: Taking taylor expansion of 1.0 in x 1.905 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.905 * [taylor]: Taking taylor expansion of x in x 1.942 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.942 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.942 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.942 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.942 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.942 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.942 * [taylor]: Taking taylor expansion of 1.0 in x 1.943 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.943 * [taylor]: Taking taylor expansion of x in x 1.945 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.945 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.945 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.945 * [taylor]: Taking taylor expansion of 1.0 in x 1.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.946 * [taylor]: Taking taylor expansion of x in x 1.947 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.947 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.947 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.947 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.947 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.947 * [taylor]: Taking taylor expansion of 1.0 in x 1.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.950 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.950 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.950 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.950 * [taylor]: Taking taylor expansion of 1.0 in x 1.951 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.951 * [taylor]: Taking taylor expansion of x in x 2.040 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 2.040 * [approximate]: Taking taylor expansion of (pow (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) 1/4) in (x) around 0 2.040 * [taylor]: Taking taylor expansion of (pow (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) 1/4) in x 2.040 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 2.040 * [taylor]: Taking taylor expansion of (* 1/4 (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 2.040 * [taylor]: Taking taylor expansion of 1/4 in x 2.040 * [taylor]: Taking taylor expansion of (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 2.040 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 2.040 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 2.040 * [taylor]: Taking taylor expansion of x in x 2.040 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.040 * [taylor]: Taking taylor expansion of 1.0 in x 2.041 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 2.041 * [taylor]: Taking taylor expansion of x in x 2.041 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.041 * [taylor]: Taking taylor expansion of 1.0 in x 2.051 * [taylor]: Taking taylor expansion of (pow (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) 1/4) in x 2.051 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 2.051 * [taylor]: Taking taylor expansion of (* 1/4 (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 2.051 * [taylor]: Taking taylor expansion of 1/4 in x 2.051 * [taylor]: Taking taylor expansion of (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 2.051 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 2.051 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 2.051 * [taylor]: Taking taylor expansion of x in x 2.051 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.051 * [taylor]: Taking taylor expansion of 1.0 in x 2.052 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 2.052 * [taylor]: Taking taylor expansion of x in x 2.052 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.052 * [taylor]: Taking taylor expansion of 1.0 in x 2.181 * [approximate]: Taking taylor expansion of (pow (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) 1/4) in (x) around 0 2.181 * [taylor]: Taking taylor expansion of (pow (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) 1/4) in x 2.181 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))))) in x 2.181 * [taylor]: Taking taylor expansion of (* 1/4 (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))))) in x 2.181 * [taylor]: Taking taylor expansion of 1/4 in x 2.181 * [taylor]: Taking taylor expansion of (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 2.181 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 2.181 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 2.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.181 * [taylor]: Taking taylor expansion of x in x 2.181 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.181 * [taylor]: Taking taylor expansion of 1.0 in x 2.182 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.182 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.182 * [taylor]: Taking taylor expansion of 1.0 in x 2.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.183 * [taylor]: Taking taylor expansion of x in x 2.184 * [taylor]: Taking taylor expansion of (pow (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) 1/4) in x 2.184 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))))) in x 2.184 * [taylor]: Taking taylor expansion of (* 1/4 (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))))) in x 2.184 * [taylor]: Taking taylor expansion of 1/4 in x 2.184 * [taylor]: Taking taylor expansion of (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 2.184 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 2.184 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 2.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.184 * [taylor]: Taking taylor expansion of x in x 2.184 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.184 * [taylor]: Taking taylor expansion of 1.0 in x 2.185 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.185 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.185 * [taylor]: Taking taylor expansion of 1.0 in x 2.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.186 * [taylor]: Taking taylor expansion of x in x 2.271 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt (- (+ (sqrt 1.0) (/ 1 x))))) (pow (- (sqrt 1.0) (/ 1 x)) 1/4)) in (x) around 0 2.271 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt (- (+ (sqrt 1.0) (/ 1 x))))) (pow (- (sqrt 1.0) (/ 1 x)) 1/4)) in x 2.271 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (sqrt 1.0) (/ 1 x))))) in x 2.271 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 2.271 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 2.271 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.271 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.271 * [taylor]: Taking taylor expansion of 1.0 in x 2.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.272 * [taylor]: Taking taylor expansion of x in x 2.281 * [taylor]: Taking taylor expansion of (pow (- (sqrt 1.0) (/ 1 x)) 1/4) in x 2.281 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (sqrt 1.0) (/ 1 x))))) in x 2.281 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (sqrt 1.0) (/ 1 x)))) in x 2.281 * [taylor]: Taking taylor expansion of 1/4 in x 2.281 * [taylor]: Taking taylor expansion of (log (- (sqrt 1.0) (/ 1 x))) in x 2.281 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.281 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.281 * [taylor]: Taking taylor expansion of 1.0 in x 2.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.281 * [taylor]: Taking taylor expansion of x in x 2.283 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt (- (+ (sqrt 1.0) (/ 1 x))))) (pow (- (sqrt 1.0) (/ 1 x)) 1/4)) in x 2.283 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (sqrt 1.0) (/ 1 x))))) in x 2.283 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 2.283 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 2.283 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.283 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.283 * [taylor]: Taking taylor expansion of 1.0 in x 2.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.284 * [taylor]: Taking taylor expansion of x in x 2.297 * [taylor]: Taking taylor expansion of (pow (- (sqrt 1.0) (/ 1 x)) 1/4) in x 2.297 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (sqrt 1.0) (/ 1 x))))) in x 2.297 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (sqrt 1.0) (/ 1 x)))) in x 2.297 * [taylor]: Taking taylor expansion of 1/4 in x 2.297 * [taylor]: Taking taylor expansion of (log (- (sqrt 1.0) (/ 1 x))) in x 2.297 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.297 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.297 * [taylor]: Taking taylor expansion of 1.0 in x 2.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.298 * [taylor]: Taking taylor expansion of x in x 2.429 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 2.430 * [approximate]: Taking taylor expansion of (pow (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) 1/4) in (x) around 0 2.430 * [taylor]: Taking taylor expansion of (pow (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) 1/4) in x 2.430 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 2.430 * [taylor]: Taking taylor expansion of (* 1/4 (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 2.430 * [taylor]: Taking taylor expansion of 1/4 in x 2.430 * [taylor]: Taking taylor expansion of (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 2.430 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 2.430 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 2.430 * [taylor]: Taking taylor expansion of x in x 2.430 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.430 * [taylor]: Taking taylor expansion of 1.0 in x 2.431 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 2.431 * [taylor]: Taking taylor expansion of x in x 2.431 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.431 * [taylor]: Taking taylor expansion of 1.0 in x 2.448 * [taylor]: Taking taylor expansion of (pow (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) 1/4) in x 2.448 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 2.448 * [taylor]: Taking taylor expansion of (* 1/4 (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 2.448 * [taylor]: Taking taylor expansion of 1/4 in x 2.448 * [taylor]: Taking taylor expansion of (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 2.448 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 2.448 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 2.448 * [taylor]: Taking taylor expansion of x in x 2.448 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.448 * [taylor]: Taking taylor expansion of 1.0 in x 2.449 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 2.449 * [taylor]: Taking taylor expansion of x in x 2.449 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.449 * [taylor]: Taking taylor expansion of 1.0 in x 2.574 * [approximate]: Taking taylor expansion of (pow (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) 1/4) in (x) around 0 2.574 * [taylor]: Taking taylor expansion of (pow (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) 1/4) in x 2.574 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))))) in x 2.574 * [taylor]: Taking taylor expansion of (* 1/4 (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))))) in x 2.574 * [taylor]: Taking taylor expansion of 1/4 in x 2.574 * [taylor]: Taking taylor expansion of (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 2.574 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 2.574 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 2.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.575 * [taylor]: Taking taylor expansion of x in x 2.575 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.575 * [taylor]: Taking taylor expansion of 1.0 in x 2.575 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.575 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.576 * [taylor]: Taking taylor expansion of 1.0 in x 2.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.576 * [taylor]: Taking taylor expansion of x in x 2.578 * [taylor]: Taking taylor expansion of (pow (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) 1/4) in x 2.578 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))))) in x 2.578 * [taylor]: Taking taylor expansion of (* 1/4 (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))))) in x 2.578 * [taylor]: Taking taylor expansion of 1/4 in x 2.578 * [taylor]: Taking taylor expansion of (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 2.578 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 2.578 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 2.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.578 * [taylor]: Taking taylor expansion of x in x 2.578 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.578 * [taylor]: Taking taylor expansion of 1.0 in x 2.579 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.579 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.579 * [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 2.664 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt (- (+ (sqrt 1.0) (/ 1 x))))) (pow (- (sqrt 1.0) (/ 1 x)) 1/4)) in (x) around 0 2.665 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt (- (+ (sqrt 1.0) (/ 1 x))))) (pow (- (sqrt 1.0) (/ 1 x)) 1/4)) in x 2.665 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (sqrt 1.0) (/ 1 x))))) in x 2.665 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 2.665 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 2.665 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.665 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.665 * [taylor]: Taking taylor expansion of 1.0 in x 2.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.665 * [taylor]: Taking taylor expansion of x in x 2.675 * [taylor]: Taking taylor expansion of (pow (- (sqrt 1.0) (/ 1 x)) 1/4) in x 2.675 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (sqrt 1.0) (/ 1 x))))) in x 2.675 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (sqrt 1.0) (/ 1 x)))) in x 2.675 * [taylor]: Taking taylor expansion of 1/4 in x 2.675 * [taylor]: Taking taylor expansion of (log (- (sqrt 1.0) (/ 1 x))) in x 2.675 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.675 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.675 * [taylor]: Taking taylor expansion of 1.0 in x 2.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.675 * [taylor]: Taking taylor expansion of x in x 2.677 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt (- (+ (sqrt 1.0) (/ 1 x))))) (pow (- (sqrt 1.0) (/ 1 x)) 1/4)) in x 2.677 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (sqrt 1.0) (/ 1 x))))) in x 2.678 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 2.678 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 2.678 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.678 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.678 * [taylor]: Taking taylor expansion of 1.0 in x 2.678 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.678 * [taylor]: Taking taylor expansion of x in x 2.693 * [taylor]: Taking taylor expansion of (pow (- (sqrt 1.0) (/ 1 x)) 1/4) in x 2.693 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (sqrt 1.0) (/ 1 x))))) in x 2.693 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (sqrt 1.0) (/ 1 x)))) in x 2.693 * [taylor]: Taking taylor expansion of 1/4 in x 2.693 * [taylor]: Taking taylor expansion of (log (- (sqrt 1.0) (/ 1 x))) in x 2.693 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.693 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.693 * [taylor]: Taking taylor expansion of 1.0 in x 2.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.694 * [taylor]: Taking taylor expansion of x in x 2.796 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1) 2.796 * [approximate]: Taking taylor expansion of (pow (+ x (sqrt 1.0)) 1/4) in (x) around 0 2.796 * [taylor]: Taking taylor expansion of (pow (+ x (sqrt 1.0)) 1/4) in x 2.796 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x (sqrt 1.0))))) in x 2.797 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x (sqrt 1.0)))) in x 2.797 * [taylor]: Taking taylor expansion of 1/4 in x 2.797 * [taylor]: Taking taylor expansion of (log (+ x (sqrt 1.0))) in x 2.797 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 2.797 * [taylor]: Taking taylor expansion of x in x 2.797 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.797 * [taylor]: Taking taylor expansion of 1.0 in x 2.800 * [taylor]: Taking taylor expansion of (pow (+ x (sqrt 1.0)) 1/4) in x 2.800 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x (sqrt 1.0))))) in x 2.801 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x (sqrt 1.0)))) in x 2.801 * [taylor]: Taking taylor expansion of 1/4 in x 2.801 * [taylor]: Taking taylor expansion of (log (+ x (sqrt 1.0))) in x 2.801 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 2.801 * [taylor]: Taking taylor expansion of x in x 2.801 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.801 * [taylor]: Taking taylor expansion of 1.0 in x 2.848 * [approximate]: Taking taylor expansion of (pow (+ (sqrt 1.0) (/ 1 x)) 1/4) in (x) around 0 2.848 * [taylor]: Taking taylor expansion of (pow (+ (sqrt 1.0) (/ 1 x)) 1/4) in x 2.848 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (sqrt 1.0) (/ 1 x))))) in x 2.848 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (sqrt 1.0) (/ 1 x)))) in x 2.848 * [taylor]: Taking taylor expansion of 1/4 in x 2.848 * [taylor]: Taking taylor expansion of (log (+ (sqrt 1.0) (/ 1 x))) in x 2.848 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.848 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.848 * [taylor]: Taking taylor expansion of 1.0 in x 2.849 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.849 * [taylor]: Taking taylor expansion of x in x 2.850 * [taylor]: Taking taylor expansion of (pow (+ (sqrt 1.0) (/ 1 x)) 1/4) in x 2.850 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (sqrt 1.0) (/ 1 x))))) in x 2.850 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (sqrt 1.0) (/ 1 x)))) in x 2.850 * [taylor]: Taking taylor expansion of 1/4 in x 2.850 * [taylor]: Taking taylor expansion of (log (+ (sqrt 1.0) (/ 1 x))) in x 2.850 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.850 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.850 * [taylor]: Taking taylor expansion of 1.0 in x 2.850 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.850 * [taylor]: Taking taylor expansion of x in x 2.886 * [approximate]: Taking taylor expansion of (pow (- (sqrt 1.0) (/ 1 x)) 1/4) in (x) around 0 2.886 * [taylor]: Taking taylor expansion of (pow (- (sqrt 1.0) (/ 1 x)) 1/4) in x 2.886 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (sqrt 1.0) (/ 1 x))))) in x 2.886 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (sqrt 1.0) (/ 1 x)))) in x 2.886 * [taylor]: Taking taylor expansion of 1/4 in x 2.886 * [taylor]: Taking taylor expansion of (log (- (sqrt 1.0) (/ 1 x))) in x 2.886 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.886 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.886 * [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 2.889 * [taylor]: Taking taylor expansion of (pow (- (sqrt 1.0) (/ 1 x)) 1/4) in x 2.889 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (sqrt 1.0) (/ 1 x))))) in x 2.889 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (sqrt 1.0) (/ 1 x)))) in x 2.889 * [taylor]: Taking taylor expansion of 1/4 in x 2.889 * [taylor]: Taking taylor expansion of (log (- (sqrt 1.0) (/ 1 x))) in x 2.889 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.889 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.889 * [taylor]: Taking taylor expansion of 1.0 in x 2.889 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.889 * [taylor]: Taking taylor expansion of x in x 2.924 * * * [progress]: simplifying candidates 2.930 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ 1 1) (+ 1 1) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0)))))) (* (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0)))))) (* (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (* (* (sqrt (+ x (sqrt 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3) (pow x 2)))))))) (- (+ (pow (sqrt 1.0) 1/4) (* 1/4 (* x (pow (/ 1 (pow (sqrt 1.0) 3)) 1/4)))) (* 3/32 (* (pow x 2) (pow (/ 1 (pow (sqrt 1.0) 7)) 1/4)))) (+ (pow (/ 1 x) -1/4) (- (* 1/4 (* (pow (/ 1 (pow x 3)) 1/4) (sqrt 1.0))) (* (* 3/32 (pow (/ 1 (pow x 7)) 1/4)) 1.0))) (+ (* 1/4 (/ (* (sqrt 1.0) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) x)) (- (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (* (/ 1.0 (/ (pow x 2) (exp (* 1/4 (- (log -1) (log (/ -1 x))))))) 3/32))) 3.069 * * * [progress]: adding candidates to table 3.860 * [progress]: [Phase 3 of 3] Extracting. 3.860 * * [regime]: Finding splitpoints for: (# #) 3.860 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.860 * * * * [regimes]: Trying to branch on x from (# #) 3.876 * * * [regime]: Found split indices: #