14.848 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying using # : (- (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0)))) 0.037 * * [simplify]: iteration 0 : 11 enodes (cost 6 ) 0.039 * * [simplify]: iteration 1 : 14 enodes (cost 6 ) 0.040 * * [simplify]: iteration 2 : 14 enodes (cost 6 ) 0.040 * [simplify]: Simplified to: (- (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0)))) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.042 * * * * [pick]: Picked # 0.042 * * * [progress]: localizing error 0.049 * * * [progress]: generating rewritten candidates 0.049 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.055 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.057 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.061 * * * [progress]: generating series expansions 0.061 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.061 * [approximate]: Taking taylor expansion of (- (* 1.0 (sqrt (/ 1 x))) (* 1.0 (sqrt (/ 1 (+ x 1.0))))) in (x) around 0 0.061 * [taylor]: Taking taylor expansion of (- (* 1.0 (sqrt (/ 1 x))) (* 1.0 (sqrt (/ 1 (+ x 1.0))))) in x 0.061 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in x 0.063 * [taylor]: Taking taylor expansion of 1.0 in x 0.063 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.063 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of 1.0 in x 0.067 * [taylor]: Taking taylor expansion of (- (* 1.0 (sqrt (/ 1 x))) (* 1.0 (sqrt (/ 1 (+ x 1.0))))) in x 0.067 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.067 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.069 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [approximate]: Taking taylor expansion of (- (* 1.0 (sqrt x)) (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x)))))) in (x) around 0 0.134 * [taylor]: Taking taylor expansion of (- (* 1.0 (sqrt x)) (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x)))))) in x 0.134 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.134 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in x 0.135 * [taylor]: Taking taylor expansion of 1.0 in x 0.135 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ 1.0 (/ 1 x)))) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.135 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.135 * [taylor]: Taking taylor expansion of 1.0 in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (- (* 1.0 (sqrt x)) (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x)))))) in x 0.137 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in x 0.138 * [taylor]: Taking taylor expansion of 1.0 in x 0.138 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ 1.0 (/ 1 x)))) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.138 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.138 * [taylor]: Taking taylor expansion of 1.0 in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.167 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (sqrt (/ -1 x)))) (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in (x) around 0 0.167 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sqrt (/ -1 x)))) (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in x 0.167 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 0.167 * [taylor]: Taking taylor expansion of 1.0 in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 0.167 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.167 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.167 * [taylor]: Taking taylor expansion of -1 in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.169 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sqrt (/ -1 x)))) (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in x 0.171 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 0.171 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.171 * [taylor]: Taking taylor expansion of -1 in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 0.173 * [taylor]: Taking taylor expansion of 1.0 in x 0.173 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.173 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.173 * [taylor]: Taking taylor expansion of 1.0 in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.204 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.204 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in (x) around 0 0.204 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.205 * [taylor]: Taking taylor expansion of 1.0 in x 0.205 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.206 * [taylor]: Taking taylor expansion of 1.0 in x 0.206 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.218 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt x)) in (x) around 0 0.218 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.218 * [taylor]: Taking taylor expansion of 1.0 in x 0.218 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.219 * [taylor]: Taking taylor expansion of 1.0 in x 0.219 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.230 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in (x) around 0 0.230 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 0.230 * [taylor]: Taking taylor expansion of 1.0 in x 0.230 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.230 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.230 * [taylor]: Taking taylor expansion of -1 in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 0.231 * [taylor]: Taking taylor expansion of 1.0 in x 0.231 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.231 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.231 * [taylor]: Taking taylor expansion of -1 in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.243 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.244 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in (x) around 0 0.244 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in x 0.244 * [taylor]: Taking taylor expansion of 1.0 in x 0.244 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.244 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in x 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.247 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in (x) around 0 0.279 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in x 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ 1.0 (/ 1 x)))) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.279 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in x 0.281 * [taylor]: Taking taylor expansion of 1.0 in x 0.281 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ 1.0 (/ 1 x)))) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.281 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.281 * [taylor]: Taking taylor expansion of 1.0 in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.304 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in (x) around 0 0.305 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 0.305 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.305 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.305 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 0.307 * [taylor]: Taking taylor expansion of 1.0 in x 0.307 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.307 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.307 * [taylor]: Taking taylor expansion of 1.0 in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.325 * * * [progress]: simplifying candidates 0.326 * [simplify]: Simplifying using # : (- (* 1.0 (sqrt (+ x 1.0))) (* (sqrt x) 1.0)) (* (sqrt x) (sqrt (+ x 1.0))) (- (* 1.0 (- (sqrt (+ x 1.0)))) (* (sqrt x) (- 1.0))) (* (sqrt x) (- (sqrt (+ x 1.0)))) (- (* 1.0 (/ (sqrt (+ x 1.0)) 1.0)) (* (sqrt x) 1)) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (- (* (- 1.0) (sqrt (+ x 1.0))) (* (- (sqrt x)) 1.0)) (* (- (sqrt x)) (sqrt (+ x 1.0))) (- (* (- 1.0) (- (sqrt (+ x 1.0)))) (* (- (sqrt x)) (- 1.0))) (* (- (sqrt x)) (- (sqrt (+ x 1.0)))) (- (* (- 1.0) (/ (sqrt (+ x 1.0)) 1.0)) (* (- (sqrt x)) 1)) (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (- (* 1 (sqrt (+ x 1.0))) (* (/ (sqrt x) 1.0) 1.0)) (* (/ (sqrt x) 1.0) (sqrt (+ x 1.0))) (- (* 1 (- (sqrt (+ x 1.0)))) (* (/ (sqrt x) 1.0) (- 1.0))) (* (/ (sqrt x) 1.0) (- (sqrt (+ x 1.0)))) (- (* 1 (/ (sqrt (+ x 1.0)) 1.0)) (* (/ (sqrt x) 1.0) 1)) (* (/ (sqrt x) 1.0) (/ (sqrt (+ x 1.0)) 1.0)) (- (pow (/ 1.0 (sqrt x)) 3) (pow (/ 1.0 (sqrt (+ x 1.0))) 3)) (+ (* (/ 1.0 (sqrt x)) (/ 1.0 (sqrt x))) (+ (* (/ 1.0 (sqrt (+ x 1.0))) (/ 1.0 (sqrt (+ x 1.0)))) (* (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0)))))) (- (/ 1.0 (sqrt (+ x 1.0)))) (- (* (/ 1.0 (sqrt x)) (/ 1.0 (sqrt x))) (* (/ 1.0 (sqrt (+ x 1.0))) (/ 1.0 (sqrt (+ x 1.0))))) (+ (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1.0)))) (- (/ 1.0 (sqrt (+ x 1.0)))) (- 1.0) (- (sqrt x)) (/ 1 (sqrt x)) (/ (sqrt x) 1.0) (- 1.0) (- (sqrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (sqrt (+ x 1.0)) 1.0) (/ 1.0 (sqrt (+ (pow x 3) (pow 1.0 3)))) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0)))) (- (+ (* 0.5 (/ x (sqrt 1.0))) (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (+ +nan.0 (- (+ (* 1.0 (sqrt 1.0)) (* 0.5 (/ (pow x 2) (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* 1.0 (sqrt 1.0)) (* 0.5 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ x (sqrt 1.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) 0.331 * * [simplify]: iteration 0 : 313 enodes (cost 324 ) 0.336 * * [simplify]: iteration 1 : 1058 enodes (cost 282 ) 0.358 * * [simplify]: iteration 2 : 5001 enodes (cost 260 ) 0.360 * [simplify]: Simplified to: (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0))) (* (- 1.0) (- (sqrt (+ x 1.0)) (sqrt x))) (* (- (sqrt x)) (sqrt (+ x 1.0))) (- (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (* (- 1.0) (- (sqrt (+ x 1.0)) (sqrt x))) (* (- (sqrt x)) (sqrt (+ x 1.0))) (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0))) (+ (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (- (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (+ (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (+ (/ (sqrt (+ x 1.0)) 1.0) (- (/ (sqrt x) 1.0))) (* (/ (sqrt x) 1.0) (/ (sqrt (+ x 1.0)) 1.0)) (- (pow (/ 1.0 (sqrt x)) 3) (pow (/ 1.0 (sqrt (+ x 1.0))) 3)) (+ (* (/ 1.0 (sqrt (+ x 1.0))) (+ (/ 1.0 (sqrt (+ x 1.0))) (/ 1.0 (sqrt x)))) (* (/ 1.0 (sqrt x)) (/ 1.0 (sqrt x)))) (- (/ 1.0 (sqrt (+ x 1.0)))) (* 1.0 (- (/ (/ 1.0 (sqrt x)) (sqrt x)) (/ (/ 1.0 (sqrt (+ x 1.0))) (sqrt (+ x 1.0))))) (+ (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1.0)))) (- (/ 1.0 (sqrt (+ x 1.0)))) (- 1.0) (- (sqrt x)) (/ 1 (sqrt x)) (/ (sqrt x) 1.0) (- 1.0) (- (sqrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (sqrt (+ x 1.0)) 1.0) (/ 1.0 (sqrt (+ (pow x 3) (pow 1.0 3)))) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0)))) (+ (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (* 0.5 (/ x (sqrt 1.0))) (- (+ (* 1.0 (sqrt 1.0)) (* 0.5 (/ (pow x 2) (sqrt 1.0)))) (- (* +nan.0 (- (pow x 2) x)) +nan.0)))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) (/ +nan.0 (pow x 3))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) (- (* (- +nan.0) (- (pow x 2) x)) +nan.0) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) (/ +nan.0 (pow x 3))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) (- (+ (pow (sqrt 1.0) 3) (* (/ (pow x 2) (sqrt 1.0)) (- 0.5 (/ 0.125 1.0)))) (* 0.5 (/ x (sqrt 1.0)))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) (/ +nan.0 (pow x 3))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) (/ +nan.0 (pow x 3))) 0.360 * * * [progress]: adding candidates to table 0.430 * * [progress]: iteration 2 / 4 0.430 * * * [progress]: picking best candidate 0.441 * * * * [pick]: Picked # 0.442 * * * [progress]: localizing error 0.456 * * * [progress]: generating rewritten candidates 0.456 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.460 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.465 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.475 * * * [progress]: generating series expansions 0.475 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.475 * [approximate]: Taking taylor expansion of (- (sqrt x) (sqrt (+ x 1.0))) in (x) around 0 0.475 * [taylor]: Taking taylor expansion of (- (sqrt x) (sqrt (+ x 1.0))) in x 0.475 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.477 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [taylor]: Taking taylor expansion of (- (sqrt x) (sqrt (+ x 1.0))) in x 0.479 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.480 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [approximate]: Taking taylor expansion of (- (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.507 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.507 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.508 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.510 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.511 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.528 * [approximate]: Taking taylor expansion of (- (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.528 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.528 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.528 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.528 * [taylor]: Taking taylor expansion of -1 in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.530 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.530 * [taylor]: Taking taylor expansion of 1.0 in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.532 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.532 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.532 * [taylor]: Taking taylor expansion of -1 in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.533 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.533 * [taylor]: Taking taylor expansion of 1.0 in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.557 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.557 * [approximate]: Taking taylor expansion of (* -1.0 (sqrt (* x (+ x 1.0)))) in (x) around 0 0.557 * [taylor]: Taking taylor expansion of (* -1.0 (sqrt (* x (+ x 1.0)))) in x 0.557 * [taylor]: Taking taylor expansion of -1.0 in x 0.557 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 0.557 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of 1.0 in x 0.560 * [taylor]: Taking taylor expansion of (* -1.0 (sqrt (* x (+ x 1.0)))) in x 0.560 * [taylor]: Taking taylor expansion of -1.0 in x 0.560 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 0.560 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of 1.0 in x 0.575 * [approximate]: Taking taylor expansion of (* -1.0 (sqrt (/ (+ 1.0 (/ 1 x)) x))) in (x) around 0 0.575 * [taylor]: Taking taylor expansion of (* -1.0 (sqrt (/ (+ 1.0 (/ 1 x)) x))) in x 0.575 * [taylor]: Taking taylor expansion of -1.0 in x 0.575 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 0.575 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.575 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.575 * [taylor]: Taking taylor expansion of 1.0 in x 0.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (* -1.0 (sqrt (/ (+ 1.0 (/ 1 x)) x))) in x 0.579 * [taylor]: Taking taylor expansion of -1.0 in x 0.579 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 0.579 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.579 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.579 * [taylor]: Taking taylor expansion of 1.0 in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.589 * [approximate]: Taking taylor expansion of (* -1.0 (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in (x) around 0 0.589 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.589 * [taylor]: Taking taylor expansion of -1.0 in x 0.589 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.589 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.589 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.589 * [taylor]: Taking taylor expansion of 1.0 in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.591 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.591 * [taylor]: Taking taylor expansion of -1 in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.592 * [taylor]: Taking taylor expansion of -1.0 in x 0.592 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.592 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.592 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.592 * [taylor]: Taking taylor expansion of 1.0 in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.594 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.594 * [taylor]: Taking taylor expansion of -1 in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.636 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.636 * [approximate]: Taking taylor expansion of (* -1.0 (* (- (sqrt x) (sqrt (+ x 1.0))) (sqrt (/ 1 (* x (+ x 1.0)))))) in (x) around 0 0.636 * [taylor]: Taking taylor expansion of (* -1.0 (* (- (sqrt x) (sqrt (+ x 1.0))) (sqrt (/ 1 (* x (+ x 1.0)))))) in x 0.636 * [taylor]: Taking taylor expansion of -1.0 in x 0.636 * [taylor]: Taking taylor expansion of (* (- (sqrt x) (sqrt (+ x 1.0))) (sqrt (/ 1 (* x (+ x 1.0))))) in x 0.636 * [taylor]: Taking taylor expansion of (- (sqrt x) (sqrt (+ x 1.0))) in x 0.636 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.637 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of 1.0 in x 0.639 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ x 1.0)))) in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ x 1.0))) in x 0.639 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of 1.0 in x 0.642 * [taylor]: Taking taylor expansion of (* -1.0 (* (- (sqrt x) (sqrt (+ x 1.0))) (sqrt (/ 1 (* x (+ x 1.0)))))) in x 0.642 * [taylor]: Taking taylor expansion of -1.0 in x 0.642 * [taylor]: Taking taylor expansion of (* (- (sqrt x) (sqrt (+ x 1.0))) (sqrt (/ 1 (* x (+ x 1.0))))) in x 0.642 * [taylor]: Taking taylor expansion of (- (sqrt x) (sqrt (+ x 1.0))) in x 0.642 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.643 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of 1.0 in x 0.645 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ x 1.0)))) in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ x 1.0))) in x 0.645 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of 1.0 in x 0.780 * [approximate]: Taking taylor expansion of (* -1.0 (* (sqrt (/ x (+ 1.0 (/ 1 x)))) (- (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in (x) around 0 0.780 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt (/ x (+ 1.0 (/ 1 x)))) (- (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 0.780 * [taylor]: Taking taylor expansion of -1.0 in x 0.780 * [taylor]: Taking taylor expansion of (* (sqrt (/ x (+ 1.0 (/ 1 x)))) (- (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.780 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ 1.0 (/ 1 x)))) in x 0.780 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.780 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.780 * [taylor]: Taking taylor expansion of 1.0 in x 0.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.785 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.785 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.785 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.786 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.786 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.786 * [taylor]: Taking taylor expansion of 1.0 in x 0.786 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt (/ x (+ 1.0 (/ 1 x)))) (- (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 0.788 * [taylor]: Taking taylor expansion of -1.0 in x 0.788 * [taylor]: Taking taylor expansion of (* (sqrt (/ x (+ 1.0 (/ 1 x)))) (- (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.788 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ 1.0 (/ 1 x)))) in x 0.788 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.788 * [taylor]: Taking taylor expansion of 1.0 in x 0.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.793 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.793 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.794 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.794 * [taylor]: Taking taylor expansion of 1.0 in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.843 * [approximate]: Taking taylor expansion of (* -1.0 (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (- (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))))) in (x) around 0 0.843 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (- (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))))) in x 0.844 * [taylor]: Taking taylor expansion of -1.0 in x 0.844 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (- (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) in x 0.844 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.844 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.844 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.844 * [taylor]: Taking taylor expansion of 1.0 in x 0.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of (/ (- (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.846 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.846 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.846 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.846 * [taylor]: Taking taylor expansion of -1 in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.847 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.847 * [taylor]: Taking taylor expansion of 1.0 in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.847 * [taylor]: Taking taylor expansion of 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 0.852 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (- (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))))) in x 0.852 * [taylor]: Taking taylor expansion of -1.0 in x 0.852 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (- (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) in x 0.852 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.852 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.852 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.852 * [taylor]: Taking taylor expansion of 1.0 in x 0.852 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.854 * [taylor]: Taking taylor expansion of (/ (- (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.854 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.854 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.854 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.854 * [taylor]: Taking taylor expansion of -1 in x 0.854 * [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 0.858 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.858 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.858 * [taylor]: Taking taylor expansion of -1 in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.929 * * * [progress]: simplifying candidates 0.930 * [simplify]: Simplifying using # : (+ (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) (/ (sqrt (+ x 1.0)) 1.0)) (* (- (sqrt x)) (sqrt (+ x 1.0))) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (* (- (sqrt x)) (sqrt (+ x 1.0))) (* (- (sqrt x)) (- (sqrt (+ x 1.0)))) (* (- (sqrt x)) 1) (* (- (sqrt x)) (sqrt (+ (pow x 3) (pow 1.0 3)))) (* (- (sqrt x)) (sqrt (- (* x x) (* 1.0 1.0)))) (- (+ (- (sqrt (+ x 1.0))) (sqrt x))) (- (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0))) (/ 0 (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0))) (/ (- (sqrt (+ x 1.0)) (sqrt x)) (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0))) (/ 1 (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0))) (/ (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (+ (- (sqrt (+ x 1.0))) (sqrt x))) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (sqrt (+ x 1.0)))) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) -1) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (sqrt (+ x 1.0)))) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (- (sqrt (+ x 1.0))))) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) 1)) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (sqrt (+ (pow x 3) (pow 1.0 3))))) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (sqrt (- (* x x) (* 1.0 1.0))))) (* (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (+ (* (- (sqrt (+ x 1.0))) (- (sqrt (+ x 1.0)))) (- (* (sqrt x) (sqrt x)) (* (- (sqrt (+ x 1.0))) (sqrt x))))) (* (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (- (- (sqrt (+ x 1.0))) (sqrt x))) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (+ (* +nan.0 (pow x 2)) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- (* 0.125 (/ 1 x)) (+ 0.5 (* 1.0 x))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (* x (sqrt 1.0))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (* (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (/ x (sqrt 1.0))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) 0.934 * * [simplify]: iteration 0 : 349 enodes (cost 376 ) 0.940 * * [simplify]: iteration 1 : 1285 enodes (cost 328 ) 0.966 * * [simplify]: iteration 2 : 5001 enodes (cost 313 ) 0.968 * [simplify]: Simplified to: (- (pow (sqrt x) 3) (pow (sqrt (+ x 1.0)) 3)) (+ x (+ (* (sqrt (+ x 1.0)) (sqrt x)) (+ x 1.0))) (+ 1.0 (- x x)) (- (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (* (- (sqrt x)) (sqrt (+ x 1.0))) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (* (- (sqrt x)) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (* (- (sqrt x)) (sqrt (+ (pow x 3) (pow 1.0 3)))) (* (- (sqrt x)) (sqrt (- (* x x) (* 1.0 1.0)))) (- (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) 0 (/ (- (sqrt (+ x 1.0)) (sqrt x)) (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0))) (/ 1 (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0))) (* (/ (- (sqrt (+ x 1.0))) (- (sqrt x) (sqrt (+ x 1.0)))) (/ (sqrt x) 1.0)) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (sqrt (+ x 1.0)))) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) -1) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (sqrt (+ x 1.0)))) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (- (sqrt (+ x 1.0))))) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (sqrt (+ (pow x 3) (pow 1.0 3))))) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (sqrt (- (* x x) (* 1.0 1.0))))) (* (* (+ x (+ (* (sqrt (+ x 1.0)) (sqrt x)) (+ x 1.0))) (- (sqrt x))) (/ (sqrt (+ x 1.0)) 1.0)) (* (/ (sqrt (+ x 1.0)) 1.0) (+ x (* (sqrt (+ x 1.0)) (sqrt x)))) (- (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (sqrt 1.0)) (- (* 1/2 (/ x (sqrt 1.0))) (* x (- +nan.0 (* +nan.0 x))))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) (* +nan.0 (+ (- (pow x 2)) (- (pow x 3) x))) (- (* 0.125 (/ 1 x)) (+ 0.5 (* 1.0 x))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) (+ (+ (- (* +nan.0 (pow x 2))) (* +nan.0 (- (sqrt 1.0) (/ (pow x 2) (sqrt 1.0))))) (+ (* +nan.0 (+ (* x (sqrt 1.0)) (- x))) (* +nan.0 (- (* (pow x 2) (sqrt 1.0)) (- (/ x (sqrt 1.0)) (/ (pow x 2) (pow (sqrt 1.0) 3))))))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) (/ +nan.0 (pow x 3))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) (/ +nan.0 (pow x 3))) 0.968 * * * [progress]: adding candidates to table 1.075 * * [progress]: iteration 3 / 4 1.075 * * * [progress]: picking best candidate 1.084 * * * * [pick]: Picked # 1.084 * * * [progress]: localizing error 1.097 * * * [progress]: generating rewritten candidates 1.097 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.110 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.115 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.122 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.129 * * * [progress]: generating series expansions 1.129 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.129 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0)))))) in (x) around 0 1.129 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0)))))) in x 1.129 * [taylor]: Taking taylor expansion of 1.0 in x 1.129 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0))))) in x 1.129 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.129 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.129 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.129 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of 1.0 in x 1.131 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.131 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ x 1.0)))) in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ x 1.0))) in x 1.139 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of 1.0 in x 1.142 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0)))))) in x 1.142 * [taylor]: Taking taylor expansion of 1.0 in x 1.142 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0))))) in x 1.142 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.142 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.143 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.143 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of 1.0 in x 1.144 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ x 1.0)))) in x 1.148 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ x 1.0))) in x 1.148 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of 1.0 in x 1.487 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x)))))) in (x) around 0 1.487 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x)))))) in x 1.487 * [taylor]: Taking taylor expansion of 1.0 in x 1.487 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x))))) in x 1.487 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.487 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.487 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.488 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.488 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.488 * [taylor]: Taking taylor expansion of 1.0 in x 1.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.488 * [taylor]: Taking taylor expansion of x in x 1.491 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ 1.0 (/ 1 x)))) in x 1.491 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 1.491 * [taylor]: Taking taylor expansion of x in x 1.491 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.491 * [taylor]: Taking taylor expansion of 1.0 in x 1.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.491 * [taylor]: Taking taylor expansion of x in x 1.496 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x)))))) in x 1.496 * [taylor]: Taking taylor expansion of 1.0 in x 1.496 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x))))) in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.496 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.496 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.496 * [taylor]: Taking taylor expansion of x in x 1.497 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.497 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.497 * [taylor]: Taking taylor expansion of 1.0 in x 1.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.500 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ 1.0 (/ 1 x)))) in x 1.500 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 1.500 * [taylor]: Taking taylor expansion of x in x 1.500 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.500 * [taylor]: Taking taylor expansion of 1.0 in x 1.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.500 * [taylor]: Taking taylor expansion of x in x 1.535 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in (x) around 0 1.535 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in x 1.535 * [taylor]: Taking taylor expansion of 1.0 in x 1.535 * [taylor]: Taking taylor expansion of (* (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 1.535 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) in x 1.535 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 1.535 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.535 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.535 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.535 * [taylor]: Taking taylor expansion of -1 in x 1.535 * [taylor]: Taking taylor expansion of x in x 1.537 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.537 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.537 * [taylor]: Taking taylor expansion of 1.0 in x 1.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.537 * [taylor]: Taking taylor expansion of x in x 1.539 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.539 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.539 * [taylor]: Taking taylor expansion of -1 in x 1.539 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.551 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.551 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.551 * [taylor]: Taking taylor expansion of 1.0 in x 1.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.553 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in x 1.553 * [taylor]: Taking taylor expansion of 1.0 in x 1.553 * [taylor]: Taking taylor expansion of (* (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 1.553 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) in x 1.553 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 1.553 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.553 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.553 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.553 * [taylor]: Taking taylor expansion of -1 in x 1.553 * [taylor]: Taking taylor expansion of x in x 1.561 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.561 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.561 * [taylor]: Taking taylor expansion of 1.0 in x 1.561 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.561 * [taylor]: Taking taylor expansion of x in x 1.563 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.563 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.563 * [taylor]: Taking taylor expansion of -1 in x 1.563 * [taylor]: Taking taylor expansion of x in x 1.576 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.576 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.576 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.576 * [taylor]: Taking taylor expansion of 1.0 in x 1.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.576 * [taylor]: Taking taylor expansion of x in x 1.662 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.662 * [approximate]: Taking taylor expansion of (* -1.0 (sqrt (* x (+ x 1.0)))) in (x) around 0 1.662 * [taylor]: Taking taylor expansion of (* -1.0 (sqrt (* x (+ x 1.0)))) in x 1.662 * [taylor]: Taking taylor expansion of -1.0 in x 1.662 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 1.662 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 1.662 * [taylor]: Taking taylor expansion of x in x 1.662 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.662 * [taylor]: Taking taylor expansion of x in x 1.662 * [taylor]: Taking taylor expansion of 1.0 in x 1.665 * [taylor]: Taking taylor expansion of (* -1.0 (sqrt (* x (+ x 1.0)))) in x 1.665 * [taylor]: Taking taylor expansion of -1.0 in x 1.665 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 1.665 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 1.665 * [taylor]: Taking taylor expansion of x in x 1.665 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.665 * [taylor]: Taking taylor expansion of x in x 1.665 * [taylor]: Taking taylor expansion of 1.0 in x 1.679 * [approximate]: Taking taylor expansion of (* -1.0 (sqrt (/ (+ 1.0 (/ 1 x)) x))) in (x) around 0 1.679 * [taylor]: Taking taylor expansion of (* -1.0 (sqrt (/ (+ 1.0 (/ 1 x)) x))) in x 1.679 * [taylor]: Taking taylor expansion of -1.0 in x 1.679 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 1.679 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 1.679 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.679 * [taylor]: Taking taylor expansion of 1.0 in x 1.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.679 * [taylor]: Taking taylor expansion of x in x 1.679 * [taylor]: Taking taylor expansion of x in x 1.683 * [taylor]: Taking taylor expansion of (* -1.0 (sqrt (/ (+ 1.0 (/ 1 x)) x))) in x 1.683 * [taylor]: Taking taylor expansion of -1.0 in x 1.683 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 1.683 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 1.683 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.683 * [taylor]: Taking taylor expansion of 1.0 in x 1.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.683 * [taylor]: Taking taylor expansion of x in x 1.683 * [taylor]: Taking taylor expansion of x in x 1.693 * [approximate]: Taking taylor expansion of (* -1.0 (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in (x) around 0 1.693 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 1.693 * [taylor]: Taking taylor expansion of -1.0 in x 1.694 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 1.694 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.694 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.694 * [taylor]: Taking taylor expansion of 1.0 in x 1.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.694 * [taylor]: Taking taylor expansion of x in x 1.695 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.696 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.696 * [taylor]: Taking taylor expansion of -1 in x 1.696 * [taylor]: Taking taylor expansion of x in x 1.697 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 1.697 * [taylor]: Taking taylor expansion of -1.0 in x 1.697 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 1.697 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.697 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.697 * [taylor]: Taking taylor expansion of 1.0 in x 1.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.697 * [taylor]: Taking taylor expansion of x in x 1.699 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.699 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.699 * [taylor]: Taking taylor expansion of -1 in x 1.699 * [taylor]: Taking taylor expansion of x in x 1.740 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.741 * [approximate]: Taking taylor expansion of (/ -1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.741 * [taylor]: Taking taylor expansion of (/ -1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.741 * [taylor]: Taking taylor expansion of -1.0 in x 1.741 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.741 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.741 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.741 * [taylor]: Taking taylor expansion of x in x 1.741 * [taylor]: Taking taylor expansion of 1.0 in x 1.742 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.743 * [taylor]: Taking taylor expansion of x in x 1.745 * [taylor]: Taking taylor expansion of (/ -1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.745 * [taylor]: Taking taylor expansion of -1.0 in x 1.745 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.745 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.745 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.745 * [taylor]: Taking taylor expansion of x in x 1.745 * [taylor]: Taking taylor expansion of 1.0 in x 1.747 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.747 * [taylor]: Taking taylor expansion of x in x 1.833 * [approximate]: Taking taylor expansion of (/ -1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.833 * [taylor]: Taking taylor expansion of (/ -1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.833 * [taylor]: Taking taylor expansion of -1.0 in x 1.833 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.833 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.833 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.833 * [taylor]: Taking taylor expansion of x in x 1.834 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.834 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.834 * [taylor]: Taking taylor expansion of 1.0 in x 1.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.834 * [taylor]: Taking taylor expansion of x in x 1.837 * [taylor]: Taking taylor expansion of (/ -1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.837 * [taylor]: Taking taylor expansion of -1.0 in x 1.837 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.837 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.837 * [taylor]: Taking taylor expansion of x in x 1.838 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.838 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.838 * [taylor]: Taking taylor expansion of 1.0 in x 1.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.838 * [taylor]: Taking taylor expansion of x in x 1.860 * [approximate]: Taking taylor expansion of (/ -1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.860 * [taylor]: Taking taylor expansion of (/ -1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.860 * [taylor]: Taking taylor expansion of -1.0 in x 1.860 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.860 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.860 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.860 * [taylor]: Taking taylor expansion of -1 in x 1.860 * [taylor]: Taking taylor expansion of x in x 1.862 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.862 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.862 * [taylor]: Taking taylor expansion of 1.0 in x 1.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.865 * [taylor]: Taking taylor expansion of (/ -1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.865 * [taylor]: Taking taylor expansion of -1.0 in x 1.865 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.865 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.865 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.865 * [taylor]: Taking taylor expansion of -1 in x 1.865 * [taylor]: Taking taylor expansion of x in x 1.866 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.866 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.866 * [taylor]: Taking taylor expansion of 1.0 in x 1.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.866 * [taylor]: Taking taylor expansion of x in x 1.888 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.888 * [approximate]: Taking taylor expansion of (- (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.888 * [taylor]: Taking taylor expansion of (- (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.888 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.888 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.888 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.888 * [taylor]: Taking taylor expansion of x in x 1.888 * [taylor]: Taking taylor expansion of 1.0 in x 1.890 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.890 * [taylor]: Taking taylor expansion of x in x 1.891 * [taylor]: Taking taylor expansion of (- (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.892 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.892 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.892 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.892 * [taylor]: Taking taylor expansion of x in x 1.892 * [taylor]: Taking taylor expansion of 1.0 in x 1.894 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.894 * [taylor]: Taking taylor expansion of x in x 1.928 * [approximate]: Taking taylor expansion of (- (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.928 * [taylor]: Taking taylor expansion of (- (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.928 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.928 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.929 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.929 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.929 * [taylor]: Taking taylor expansion of 1.0 in x 1.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.929 * [taylor]: Taking taylor expansion of x in x 1.931 * [taylor]: Taking taylor expansion of (- (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.931 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.931 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.931 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.932 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.932 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.932 * [taylor]: Taking taylor expansion of 1.0 in x 1.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.933 * [taylor]: Taking taylor expansion of x in x 1.950 * [approximate]: Taking taylor expansion of (- (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.950 * [taylor]: Taking taylor expansion of (- (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.950 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.950 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.950 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.950 * [taylor]: Taking taylor expansion of -1 in x 1.950 * [taylor]: Taking taylor expansion of x in x 1.951 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.951 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.951 * [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 1.953 * [taylor]: Taking taylor expansion of (- (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.953 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.953 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.953 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.953 * [taylor]: Taking taylor expansion of -1 in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.954 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.954 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.954 * [taylor]: Taking taylor expansion of 1.0 in x 1.954 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.954 * [taylor]: Taking taylor expansion of x in x 1.972 * * * [progress]: simplifying candidates 1.973 * [simplify]: Simplifying using # : (- (/ (+ 1.0 (- x x)) (- (- (sqrt (+ x 1.0))) (sqrt x)))) (- (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0))) (/ (/ (+ 1.0 x) (- (- (sqrt (+ x 1.0))) (sqrt x))) (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0))) (/ (/ x (- (- (sqrt (+ x 1.0))) (sqrt x))) (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0))) (/ (+ 1.0 (- x x)) (- (sqrt x))) (/ (/ 1 (- (- (sqrt (+ x 1.0))) (sqrt x))) (/ (sqrt (+ x 1.0)) 1.0)) (/ (+ 1.0 (- x x)) (* (- (sqrt x)) (sqrt (+ x 1.0)))) (/ (/ 1 (- (- (sqrt (+ x 1.0))) (sqrt x))) (/ 1 1.0)) (/ (+ 1.0 (- x x)) -1) (/ (/ 1 (- (- (sqrt (+ x 1.0))) (sqrt x))) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0))) (/ (+ 1.0 (- x x)) (/ (sqrt (+ x 1.0)) 1.0)) (/ (/ 1 (- (- (sqrt (+ x 1.0))) (sqrt x))) (- (sqrt x))) (/ (/ (+ 1.0 (- x x)) (- (pow (- (sqrt (+ x 1.0))) 3) (pow (sqrt x) 3))) (- (sqrt x))) (/ (+ (* (- (sqrt (+ x 1.0))) (- (sqrt (+ x 1.0)))) (+ (* (sqrt x) (sqrt x)) (* (- (sqrt (+ x 1.0))) (sqrt x)))) (/ (sqrt (+ x 1.0)) 1.0)) (/ (/ (+ 1.0 (- x x)) (- (pow (- (sqrt (+ x 1.0))) 3) (pow (sqrt x) 3))) (* (- (sqrt x)) (sqrt (+ x 1.0)))) (/ (+ (* (- (sqrt (+ x 1.0))) (- (sqrt (+ x 1.0)))) (+ (* (sqrt x) (sqrt x)) (* (- (sqrt (+ x 1.0))) (sqrt x)))) (/ 1 1.0)) (/ (/ (+ 1.0 (- x x)) (- (pow (- (sqrt (+ x 1.0))) 3) (pow (sqrt x) 3))) -1) (/ (+ (* (- (sqrt (+ x 1.0))) (- (sqrt (+ x 1.0)))) (+ (* (sqrt x) (sqrt x)) (* (- (sqrt (+ x 1.0))) (sqrt x)))) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0))) (/ (/ (+ 1.0 (- x x)) (- (pow (- (sqrt (+ x 1.0))) 3) (pow (sqrt x) 3))) (/ (sqrt (+ x 1.0)) 1.0)) (/ (+ (* (- (sqrt (+ x 1.0))) (- (sqrt (+ x 1.0)))) (+ (* (sqrt x) (sqrt x)) (* (- (sqrt (+ x 1.0))) (sqrt x)))) (- (sqrt x))) (/ (/ (+ 1.0 (- x x)) (- (* (- (sqrt (+ x 1.0))) (- (sqrt (+ x 1.0)))) (* (sqrt x) (sqrt x)))) (- (sqrt x))) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (/ (/ (+ 1.0 (- x x)) (- (* (- (sqrt (+ x 1.0))) (- (sqrt (+ x 1.0)))) (* (sqrt x) (sqrt x)))) (* (- (sqrt x)) (sqrt (+ x 1.0)))) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (/ 1 1.0)) (/ (/ (+ 1.0 (- x x)) (- (* (- (sqrt (+ x 1.0))) (- (sqrt (+ x 1.0)))) (* (sqrt x) (sqrt x)))) -1) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0))) (/ (/ (+ 1.0 (- x x)) (- (* (- (sqrt (+ x 1.0))) (- (sqrt (+ x 1.0)))) (* (sqrt x) (sqrt x)))) (/ (sqrt (+ x 1.0)) 1.0)) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) (/ 1 (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0))) (/ (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (/ (+ 1.0 (- x x)) (- (- (sqrt (+ x 1.0))) (sqrt x)))) (/ (/ (+ 1.0 (- x x)) (- (- (sqrt (+ x 1.0))) (sqrt x))) (- (sqrt x))) (/ (/ (+ 1.0 (- x x)) (- (- (sqrt (+ x 1.0))) (sqrt x))) (* (- (sqrt x)) (sqrt (+ x 1.0)))) (/ (/ (+ 1.0 (- x x)) (- (- (sqrt (+ x 1.0))) (sqrt x))) -1) (/ (/ (+ 1.0 (- x x)) (- (- (sqrt (+ x 1.0))) (sqrt x))) (/ (sqrt (+ x 1.0)) 1.0)) (/ (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (/ 1 (- (- (sqrt (+ x 1.0))) (sqrt x)))) (/ (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (+ (* (- (sqrt (+ x 1.0))) (- (sqrt (+ x 1.0)))) (+ (* (sqrt x) (sqrt x)) (* (- (sqrt (+ x 1.0))) (sqrt x))))) (/ (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (+ (- (sqrt (+ x 1.0))) (sqrt x))) (/ (/ (+ 1.0 (- x x)) (- (- (sqrt (+ x 1.0))) (sqrt x))) (- (sqrt x))) (/ (/ (+ 1.0 (- x x)) (- (- (sqrt (+ x 1.0))) (sqrt x))) (* (- (sqrt x)) (sqrt (+ x 1.0)))) (/ (/ (+ 1.0 (- x x)) (- (- (sqrt (+ x 1.0))) (sqrt x))) (* (- (sqrt x)) (- (sqrt (+ x 1.0))))) (/ (/ (+ 1.0 (- x x)) (- (- (sqrt (+ x 1.0))) (sqrt x))) (* (- (sqrt x)) 1)) (/ (/ (+ 1.0 (- x x)) (- (- (sqrt (+ x 1.0))) (sqrt x))) (* (- (sqrt x)) (sqrt (+ (pow x 3) (pow 1.0 3))))) (/ (/ (+ 1.0 (- x x)) (- (- (sqrt (+ x 1.0))) (sqrt x))) (* (- (sqrt x)) (sqrt (- (* x x) (* 1.0 1.0))))) (* (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (- (- (sqrt (+ x 1.0))) (sqrt x))) (* (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (- (- (- (sqrt (+ x 1.0))) (sqrt x)))) (* (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (/ (- (- (sqrt (+ x 1.0))) (sqrt x)) (+ 1.0 (- x x)))) (* (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (* (- (- (sqrt (+ x 1.0))) (sqrt x)) (+ (* 1.0 1.0) (- (* (- x x) (- x x)) (* 1.0 (- x x)))))) (* (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (* (- (- (sqrt (+ x 1.0))) (sqrt x)) (- 1.0 (- x x)))) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (* (- (sqrt x)) (sqrt (+ x 1.0))) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (* (- (sqrt x)) (sqrt (+ x 1.0))) (* (- (sqrt x)) (- (sqrt (+ x 1.0)))) (* (- (sqrt x)) 1) (* (- (sqrt x)) (sqrt (+ (pow x 3) (pow 1.0 3)))) (* (- (sqrt x)) (sqrt (- (* x x) (* 1.0 1.0)))) (- (+ 1.0 (- x x))) (- (- (- (sqrt (+ x 1.0))) (sqrt x))) (/ (+ 1.0 x) (- (- (sqrt (+ x 1.0))) (sqrt x))) (/ x (- (- (sqrt (+ x 1.0))) (sqrt x))) (/ 1 (- (- (sqrt (+ x 1.0))) (sqrt x))) (/ (- (- (sqrt (+ x 1.0))) (sqrt x)) (+ 1.0 (- x x))) (/ (+ 1.0 (- x x)) (- (pow (- (sqrt (+ x 1.0))) 3) (pow (sqrt x) 3))) (/ (+ 1.0 (- x x)) (- (* (- (sqrt (+ x 1.0))) (- (sqrt (+ x 1.0)))) (* (sqrt x) (sqrt x)))) (* (- (- (sqrt (+ x 1.0))) (sqrt x)) (+ (* 1.0 1.0) (- (* (- x x) (- x x)) (* 1.0 (- x x))))) (* (- (- (sqrt (+ x 1.0))) (sqrt x)) (- 1.0 (- x x))) (- (pow (- (sqrt (+ x 1.0))) 3) (pow (sqrt x) 3)) (+ (* (- (sqrt (+ x 1.0))) (- (sqrt (+ x 1.0)))) (+ (* (sqrt x) (sqrt x)) (* (- (sqrt (+ x 1.0))) (sqrt x)))) (- (sqrt x)) (- (* (- (sqrt (+ x 1.0))) (- (sqrt (+ x 1.0)))) (* (sqrt x) (sqrt x))) (+ (- (sqrt (+ x 1.0))) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 5))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ x (sqrt 1.0))) (- (* +nan.0 (/ x (pow (sqrt 1.0) 3)))))))))))))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- (* 0.125 (/ 1 x)) (+ 0.5 (* 1.0 x))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5))) (- (* 1.0 (/ 1 (sqrt 1.0))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (+ (* +nan.0 (pow x 2)) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.980 * * [simplify]: iteration 0 : 580 enodes (cost 964 ) 1.990 * * [simplify]: iteration 1 : 2438 enodes (cost 791 ) 2.036 * * [simplify]: iteration 2 : 5001 enodes (cost 751 ) 2.039 * [simplify]: Simplified to: (- (/ (+ 1.0 (- x x)) (- (- (sqrt (+ x 1.0))) (sqrt x)))) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (/ (/ (+ 1.0 x) (- (- (sqrt (+ x 1.0))) (sqrt x))) (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0))) (/ (/ x (- (- (sqrt (+ x 1.0))) (sqrt x))) (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0))) (/ 1.0 (- (sqrt x))) (/ (/ 1 (- (- (sqrt (+ x 1.0))) (sqrt x))) (/ (sqrt (+ x 1.0)) 1.0)) (/ (/ 1.0 (- (sqrt x))) (sqrt (+ x 1.0))) (* 1.0 (/ 1 (- (- (sqrt (+ x 1.0))) (sqrt x)))) (/ 1.0 -1) (/ (/ 1 (- (- (sqrt (+ x 1.0))) (sqrt x))) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0))) (/ (* 1.0 1.0) (sqrt (+ x 1.0))) (/ (/ 1 (- (- (sqrt (+ x 1.0))) (sqrt x))) (- (sqrt x))) (/ (/ 1.0 (- (sqrt x))) (- (pow (- (sqrt (+ x 1.0))) 3) (pow (sqrt x) 3))) (/ (* (+ (+ (+ x 1.0) (* (- (sqrt x)) (sqrt (+ x 1.0)))) x) 1.0) (sqrt (+ x 1.0))) (/ (/ (/ 1.0 (- (sqrt x))) (sqrt (+ x 1.0))) (- (pow (- (sqrt (+ x 1.0))) 3) (pow (sqrt x) 3))) (* (+ (+ (+ x 1.0) (* (- (sqrt x)) (sqrt (+ x 1.0)))) x) 1.0) (* (/ 1.0 (- (pow (- (sqrt (+ x 1.0))) 3) (pow (sqrt x) 3))) -1) (/ (/ (* (+ (+ (+ x 1.0) (* (- (sqrt x)) (sqrt (+ x 1.0)))) x) 1.0) (sqrt (+ x 1.0))) (sqrt x)) (/ (/ (* 1.0 1.0) (sqrt (+ x 1.0))) (- (pow (- (sqrt (+ x 1.0))) 3) (pow (sqrt x) 3))) (/ (+ (+ (+ x 1.0) (* (- (sqrt x)) (sqrt (+ x 1.0)))) x) (- (sqrt x))) (/ 1.0 (* 1.0 (- (sqrt x)))) (/ (- (sqrt x) (sqrt (+ x 1.0))) (/ (sqrt (+ x 1.0)) 1.0)) (* (/ 1.0 (* (- (sqrt x)) (sqrt (+ x 1.0)))) (/ 1 1.0)) (* 1.0 (- (sqrt x) (sqrt (+ x 1.0)))) (* (/ 1.0 1.0) -1) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0))) (/ 1.0 (* (/ (sqrt (+ x 1.0)) 1.0) 1.0)) (/ (+ (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) (/ 1 (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0))) (/ (- (sqrt x)) (/ (/ (* 1.0 1.0) (sqrt (+ x 1.0))) (- (- (sqrt (+ x 1.0))) (sqrt x)))) (/ (/ 1.0 (- (sqrt x))) (- (- (sqrt (+ x 1.0))) (sqrt x))) (/ (/ (/ 1.0 (- (sqrt x))) (sqrt (+ x 1.0))) (- (- (sqrt (+ x 1.0))) (sqrt x))) (* (/ 1.0 (- (- (sqrt (+ x 1.0))) (sqrt x))) -1) (/ (/ (* 1.0 1.0) (sqrt (+ x 1.0))) (- (- (sqrt (+ x 1.0))) (sqrt x))) (* (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (- (- (sqrt (+ x 1.0))) (sqrt x))) (/ (- (sqrt x)) (/ (* (+ (+ (+ x 1.0) (* (- (sqrt x)) (sqrt (+ x 1.0)))) x) 1.0) (sqrt (+ x 1.0)))) (* (/ (- (sqrt x)) 1.0) (/ (sqrt (+ x 1.0)) (- (sqrt x) (sqrt (+ x 1.0))))) (/ (/ 1.0 (- (sqrt x))) (- (- (sqrt (+ x 1.0))) (sqrt x))) (/ (/ (/ 1.0 (- (sqrt x))) (sqrt (+ x 1.0))) (- (- (sqrt (+ x 1.0))) (sqrt x))) (/ (/ 1.0 (* (sqrt (+ x 1.0)) (sqrt x))) (- (- (sqrt (+ x 1.0))) (sqrt x))) (/ (/ 1.0 (- (sqrt x))) (- (- (sqrt (+ x 1.0))) (sqrt x))) (/ (/ (/ 1.0 (- (sqrt x))) (- (- (sqrt (+ x 1.0))) (sqrt x))) (sqrt (+ (pow x 3) (pow 1.0 3)))) (/ (/ (/ 1.0 (- (sqrt x))) (- (- (sqrt (+ x 1.0))) (sqrt x))) (sqrt (- (* x x) (* 1.0 1.0)))) (* (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (- (- (sqrt (+ x 1.0))) (sqrt x))) (* (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (- (- (sqrt (+ x 1.0))) (sqrt x))) (/ (- (sqrt x)) (/ (/ (* 1.0 1.0) (sqrt (+ x 1.0))) (- (- (sqrt (+ x 1.0))) (sqrt x)))) (* (* (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (+ (* 1.0 1.0) 0)) (- (- (sqrt (+ x 1.0))) (sqrt x))) (* (* (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) 1.0) (- (- (sqrt (+ x 1.0))) (sqrt x))) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (* (- (sqrt x)) (sqrt (+ x 1.0))) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (* (- (sqrt x)) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (* (- (sqrt x)) (sqrt (+ (pow x 3) (pow 1.0 3)))) (* (- (sqrt x)) (sqrt (- (* x x) (* 1.0 1.0)))) (- 1.0) (* -1 (- (- (sqrt (+ x 1.0))) (sqrt x))) (/ (+ x 1.0) (- (- (sqrt (+ x 1.0))) (sqrt x))) (/ x (- (- (sqrt (+ x 1.0))) (sqrt x))) (/ 1 (- (- (sqrt (+ x 1.0))) (sqrt x))) (/ (- (- (sqrt (+ x 1.0))) (sqrt x)) 1.0) (/ 1.0 (- (pow (- (sqrt (+ x 1.0))) 3) (pow (sqrt x) 3))) (/ 1.0 1.0) (* (+ (* 0 (- 0 1.0)) (* 1.0 1.0)) (- (- (sqrt (+ x 1.0))) (sqrt x))) (* (- (- (sqrt (+ x 1.0))) (sqrt x)) 1.0) (- (pow (- (sqrt (+ x 1.0))) 3) (pow (sqrt x) 3)) (+ (+ (+ x 1.0) (* (- (sqrt x)) (sqrt (+ x 1.0)))) x) (- (sqrt x)) 1.0 (- (sqrt x) (sqrt (+ x 1.0))) (+ (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (+ (+ (+ (* +nan.0 (/ 1 (sqrt 1.0))) (/ (- (* +nan.0 (pow x 2))) 1.0)) (+ (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ (pow x 2) (sqrt 1.0))))) (+ (* +nan.0 (- (/ x (pow (sqrt 1.0) 2)) (/ (pow x 2) (pow (sqrt 1.0) 3)))) (* +nan.0 (- (/ x (sqrt 1.0)) (/ x (pow (sqrt 1.0) 3))))))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 5))))) (+ (* +nan.0 (- (/ 1 x) (/ 1 (pow x 3)))) (/ (- +nan.0) (pow x 2))) (+ (* +nan.0 (- (/ 1 x) (/ 1 (pow x 3)))) (/ (- +nan.0) (pow x 2))) (+ (* +nan.0 (- (pow x 3) x)) (- (* +nan.0 (pow x 2)))) (- (* 0.125 (/ 1 x)) (+ 0.5 (* 1.0 x))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (- (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (- (- (* 1.0 (/ 1 (sqrt 1.0))) (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)))) (* (- +nan.0) (* (/ x 1.0) (/ x 1.0)))) (* +nan.0 (- (/ x (pow (sqrt 1.0) 2)) (/ (pow x 2) (pow (sqrt 1.0) 3)))))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (+ (* +nan.0 (pow x 2)) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* +nan.0 x)))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) 2.039 * * * [progress]: adding candidates to table 2.254 * * [progress]: iteration 4 / 4 2.254 * * * [progress]: picking best candidate 2.292 * * * * [pick]: Picked # 2.292 * * * [progress]: localizing error 2.311 * * * [progress]: generating rewritten candidates 2.311 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 2.318 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.325 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.339 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 2.348 * * * [progress]: generating series expansions 2.348 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 2.348 * [approximate]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in (x) around 0 2.348 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 2.348 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 2.348 * [taylor]: Taking taylor expansion of x in x 2.348 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.348 * [taylor]: Taking taylor expansion of x in x 2.348 * [taylor]: Taking taylor expansion of 1.0 in x 2.351 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 2.351 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 2.351 * [taylor]: Taking taylor expansion of x in x 2.351 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.352 * [taylor]: Taking taylor expansion of x in x 2.352 * [taylor]: Taking taylor expansion of 1.0 in x 2.361 * [approximate]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in (x) around 0 2.361 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 2.361 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 2.361 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.361 * [taylor]: Taking taylor expansion of 1.0 in x 2.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.361 * [taylor]: Taking taylor expansion of x in x 2.361 * [taylor]: Taking taylor expansion of x in x 2.365 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 2.365 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 2.365 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.365 * [taylor]: Taking taylor expansion of 1.0 in x 2.365 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.365 * [taylor]: Taking taylor expansion of x in x 2.365 * [taylor]: Taking taylor expansion of x in x 2.371 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 2.371 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.371 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.372 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.372 * [taylor]: Taking taylor expansion of 1.0 in x 2.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.372 * [taylor]: Taking taylor expansion of x in x 2.373 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.373 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.373 * [taylor]: Taking taylor expansion of -1 in x 2.373 * [taylor]: Taking taylor expansion of x in x 2.375 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.375 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.375 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.375 * [taylor]: Taking taylor expansion of 1.0 in x 2.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.375 * [taylor]: Taking taylor expansion of x in x 2.376 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.377 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.377 * [taylor]: Taking taylor expansion of -1 in x 2.377 * [taylor]: Taking taylor expansion of x in x 2.410 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.411 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (* x (+ x 1.0))))) in (x) around 0 2.411 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (* x (+ x 1.0))))) in x 2.411 * [taylor]: Taking taylor expansion of 1.0 in x 2.411 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ x 1.0)))) in x 2.411 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ x 1.0))) in x 2.411 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 2.411 * [taylor]: Taking taylor expansion of x in x 2.411 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.411 * [taylor]: Taking taylor expansion of x in x 2.411 * [taylor]: Taking taylor expansion of 1.0 in x 2.414 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (* x (+ x 1.0))))) in x 2.414 * [taylor]: Taking taylor expansion of 1.0 in x 2.414 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ x 1.0)))) in x 2.414 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ x 1.0))) in x 2.414 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 2.414 * [taylor]: Taking taylor expansion of x in x 2.414 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.414 * [taylor]: Taking taylor expansion of x in x 2.414 * [taylor]: Taking taylor expansion of 1.0 in x 2.432 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ x (+ 1.0 (/ 1 x))))) in (x) around 0 2.432 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ x (+ 1.0 (/ 1 x))))) in x 2.432 * [taylor]: Taking taylor expansion of 1.0 in x 2.432 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ 1.0 (/ 1 x)))) in x 2.432 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 2.432 * [taylor]: Taking taylor expansion of x in x 2.432 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.432 * [taylor]: Taking taylor expansion of 1.0 in x 2.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.432 * [taylor]: Taking taylor expansion of x in x 2.436 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ x (+ 1.0 (/ 1 x))))) in x 2.436 * [taylor]: Taking taylor expansion of 1.0 in x 2.436 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ 1.0 (/ 1 x)))) in x 2.436 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 2.436 * [taylor]: Taking taylor expansion of x in x 2.436 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.436 * [taylor]: Taking taylor expansion of 1.0 in x 2.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.436 * [taylor]: Taking taylor expansion of x in x 2.449 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ 1 (sqrt (/ -1 x))))) in (x) around 0 2.449 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ 1 (sqrt (/ -1 x))))) in x 2.449 * [taylor]: Taking taylor expansion of 1.0 in x 2.450 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ 1 (sqrt (/ -1 x)))) in x 2.450 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 2.450 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 2.450 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.450 * [taylor]: Taking taylor expansion of 1.0 in x 2.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.450 * [taylor]: Taking taylor expansion of x in x 2.452 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 2.452 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.452 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.452 * [taylor]: Taking taylor expansion of -1 in x 2.452 * [taylor]: Taking taylor expansion of x in x 2.453 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ 1 (sqrt (/ -1 x))))) in x 2.453 * [taylor]: Taking taylor expansion of 1.0 in x 2.453 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ 1 (sqrt (/ -1 x)))) in x 2.453 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 2.453 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 2.453 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.453 * [taylor]: Taking taylor expansion of 1.0 in x 2.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.453 * [taylor]: Taking taylor expansion of x in x 2.455 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 2.455 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.455 * [taylor]: Taking taylor expansion of -1 in x 2.455 * [taylor]: Taking taylor expansion of x in x 2.501 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.501 * [approximate]: Taking taylor expansion of (* -1.0 (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0)))))) in (x) around 0 2.501 * [taylor]: Taking taylor expansion of (* -1.0 (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0)))))) in x 2.501 * [taylor]: Taking taylor expansion of -1.0 in x 2.501 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0))))) in x 2.501 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.501 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.501 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.501 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.501 * [taylor]: Taking taylor expansion of x in x 2.501 * [taylor]: Taking taylor expansion of 1.0 in x 2.503 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.503 * [taylor]: Taking taylor expansion of x in x 2.505 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ x 1.0)))) in x 2.505 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ x 1.0))) in x 2.505 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 2.505 * [taylor]: Taking taylor expansion of x in x 2.505 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.505 * [taylor]: Taking taylor expansion of x in x 2.505 * [taylor]: Taking taylor expansion of 1.0 in x 2.508 * [taylor]: Taking taylor expansion of (* -1.0 (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0)))))) in x 2.508 * [taylor]: Taking taylor expansion of -1.0 in x 2.508 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0))))) in x 2.508 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.508 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.509 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.509 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.509 * [taylor]: Taking taylor expansion of x in x 2.509 * [taylor]: Taking taylor expansion of 1.0 in x 2.510 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.510 * [taylor]: Taking taylor expansion of x in x 2.512 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ x 1.0)))) in x 2.513 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ x 1.0))) in x 2.513 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 2.513 * [taylor]: Taking taylor expansion of x in x 2.513 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.513 * [taylor]: Taking taylor expansion of x in x 2.513 * [taylor]: Taking taylor expansion of 1.0 in x 2.835 * [approximate]: Taking taylor expansion of (* -1.0 (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x)))))) in (x) around 0 2.835 * [taylor]: Taking taylor expansion of (* -1.0 (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x)))))) in x 2.835 * [taylor]: Taking taylor expansion of -1.0 in x 2.835 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x))))) in x 2.835 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.835 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.835 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.835 * [taylor]: Taking taylor expansion of x in x 2.836 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.836 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.836 * [taylor]: Taking taylor expansion of 1.0 in x 2.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.836 * [taylor]: Taking taylor expansion of x in x 2.839 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ 1.0 (/ 1 x)))) in x 2.839 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 2.839 * [taylor]: Taking taylor expansion of x in x 2.839 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.839 * [taylor]: Taking taylor expansion of 1.0 in x 2.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.839 * [taylor]: Taking taylor expansion of x in x 2.843 * [taylor]: Taking taylor expansion of (* -1.0 (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x)))))) in x 2.843 * [taylor]: Taking taylor expansion of -1.0 in x 2.843 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x))))) in x 2.843 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.843 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.843 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.843 * [taylor]: Taking taylor expansion of x in x 2.845 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.845 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.845 * [taylor]: Taking taylor expansion of 1.0 in x 2.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.845 * [taylor]: Taking taylor expansion of x in x 2.847 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ 1.0 (/ 1 x)))) in x 2.847 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 2.847 * [taylor]: Taking taylor expansion of x in x 2.847 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.847 * [taylor]: Taking taylor expansion of 1.0 in x 2.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.847 * [taylor]: Taking taylor expansion of x in x 2.881 * [approximate]: Taking taylor expansion of (* -1.0 (* (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in (x) around 0 2.881 * [taylor]: Taking taylor expansion of (* -1.0 (* (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in x 2.881 * [taylor]: Taking taylor expansion of -1.0 in x 2.881 * [taylor]: Taking taylor expansion of (* (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 2.881 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) in x 2.881 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 2.881 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.881 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.881 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.881 * [taylor]: Taking taylor expansion of -1 in x 2.881 * [taylor]: Taking taylor expansion of x in x 2.883 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.883 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.883 * [taylor]: Taking taylor expansion of 1.0 in x 2.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.883 * [taylor]: Taking taylor expansion of x in x 2.885 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.885 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.885 * [taylor]: Taking taylor expansion of -1 in x 2.885 * [taylor]: Taking taylor expansion of x in x 2.903 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 2.903 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 2.903 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.903 * [taylor]: Taking taylor expansion of 1.0 in x 2.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.903 * [taylor]: Taking taylor expansion of x in x 2.905 * [taylor]: Taking taylor expansion of (* -1.0 (* (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in x 2.905 * [taylor]: Taking taylor expansion of -1.0 in x 2.905 * [taylor]: Taking taylor expansion of (* (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 2.905 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) in x 2.906 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 2.906 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.906 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.906 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.906 * [taylor]: Taking taylor expansion of -1 in x 2.906 * [taylor]: Taking taylor expansion of x in x 2.907 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.907 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.907 * [taylor]: Taking taylor expansion of 1.0 in x 2.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.907 * [taylor]: Taking taylor expansion of x in x 2.909 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.909 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.909 * [taylor]: Taking taylor expansion of -1 in x 2.909 * [taylor]: Taking taylor expansion of x in x 2.921 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 2.921 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 2.921 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.921 * [taylor]: Taking taylor expansion of 1.0 in x 2.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.921 * [taylor]: Taking taylor expansion of x in x 3.008 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 3.008 * [approximate]: Taking taylor expansion of (- (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 3.008 * [taylor]: Taking taylor expansion of (- (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.008 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.008 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.008 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.008 * [taylor]: Taking taylor expansion of x in x 3.008 * [taylor]: Taking taylor expansion of 1.0 in x 3.010 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.010 * [taylor]: Taking taylor expansion of x in x 3.011 * [taylor]: Taking taylor expansion of (- (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.011 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.011 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.011 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.011 * [taylor]: Taking taylor expansion of x in x 3.011 * [taylor]: Taking taylor expansion of 1.0 in x 3.013 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.013 * [taylor]: Taking taylor expansion of x in x 3.040 * [approximate]: Taking taylor expansion of (- (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 3.040 * [taylor]: Taking taylor expansion of (- (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.040 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.040 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.040 * [taylor]: Taking taylor expansion of x in x 3.042 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.042 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.042 * [taylor]: Taking taylor expansion of 1.0 in x 3.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.042 * [taylor]: Taking taylor expansion of x in x 3.043 * [taylor]: Taking taylor expansion of (- (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.043 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.043 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.043 * [taylor]: Taking taylor expansion of x in x 3.044 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.045 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.045 * [taylor]: Taking taylor expansion of 1.0 in x 3.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.045 * [taylor]: Taking taylor expansion of x in x 3.068 * [approximate]: Taking taylor expansion of (- (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 3.068 * [taylor]: Taking taylor expansion of (- (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.068 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.068 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.068 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.068 * [taylor]: Taking taylor expansion of -1 in x 3.068 * [taylor]: Taking taylor expansion of x in x 3.070 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.070 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.070 * [taylor]: Taking taylor expansion of 1.0 in x 3.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.070 * [taylor]: Taking taylor expansion of x in x 3.072 * [taylor]: Taking taylor expansion of (- (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.072 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.072 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.072 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.072 * [taylor]: Taking taylor expansion of -1 in x 3.072 * [taylor]: Taking taylor expansion of x in x 3.073 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.073 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.073 * [taylor]: Taking taylor expansion of 1.0 in x 3.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.073 * [taylor]: Taking taylor expansion of x in x 3.090 * * * [progress]: simplifying candidates 3.091 * [simplify]: Simplifying using # : (* (+ x 1.0) x) (* (+ x 1.0) x) (* (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (- 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 (sqrt (+ x 1.0))) (/ 1.0 (sqrt x)) (/ 1.0 (* (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt x))) (/ 1.0 (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x))) (- (/ 1.0 (* (sqrt (+ x 1.0)) (sqrt x)))) (- (- (- (sqrt (+ x 1.0))) (sqrt x))) (/ 1 (- (- (sqrt (+ x 1.0))) (sqrt x))) (/ (- (- (sqrt (+ x 1.0))) (sqrt x)) (/ 1.0 (* (sqrt (+ x 1.0)) (sqrt x)))) (/ (- (- (sqrt (+ x 1.0))) (sqrt x)) (/ 1 (* (sqrt (+ x 1.0)) (sqrt x)))) (/ (- (- (sqrt (+ x 1.0))) (sqrt x)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (/ (- (- (sqrt (+ x 1.0))) (sqrt x)) (sqrt (- x 1.0))) (/ (/ 1.0 (* (sqrt (+ x 1.0)) (sqrt x))) (- (pow (- (sqrt (+ x 1.0))) 3) (pow (sqrt x) 3))) (/ (/ 1.0 (* (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)))) (* (- (- (sqrt (+ x 1.0))) (sqrt x)) (/ (* (sqrt (+ x 1.0)) (sqrt x)) 1.0)) (* (- (- (sqrt (+ x 1.0))) (sqrt x)) (sqrt x)) (* (- (- (sqrt (+ x 1.0))) (sqrt x)) (sqrt (+ x 1.0))) (- (pow (- (sqrt (+ x 1.0))) 3) (pow (sqrt x) 3)) (+ (* (- (sqrt (+ x 1.0))) (- (sqrt (+ x 1.0)))) (+ (* (sqrt x) (sqrt x)) (* (- (sqrt (+ x 1.0))) (sqrt x)))) (- (sqrt x)) (- (* (- (sqrt (+ x 1.0))) (- (sqrt (+ x 1.0)))) (* (sqrt x) (sqrt x))) (+ (- (sqrt (+ x 1.0))) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- (+ 0.5 x) (* 0.125 (/ 1 x))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- +nan.0))))) (- (+ (* 1.0 (/ 1 x)) (* 0.375 (/ 1 (pow x 3)))) (* 0.5 (/ 1 (pow x 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 5))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ x (sqrt 1.0))) (- (* +nan.0 (/ x (pow (sqrt 1.0) 3)))))))))))))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (+ (* +nan.0 (pow x 2)) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.096 * * [simplify]: iteration 0 : 412 enodes (cost 399 ) 3.102 * * [simplify]: iteration 1 : 1408 enodes (cost 346 ) 3.126 * * [simplify]: iteration 2 : 5002 enodes (cost 317 ) 3.128 * [simplify]: Simplified to: (* (+ x 1.0) x) (* (+ x 1.0) x) (* (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (- 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 (sqrt (+ x 1.0))) (/ 1.0 (sqrt x)) (/ 1.0 (* (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt x))) (/ 1.0 (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x))) (- (/ 1.0 (* (sqrt (+ x 1.0)) (sqrt x)))) (+ (sqrt (+ x 1.0)) (sqrt x)) (/ 1 (- (- (sqrt (+ x 1.0))) (sqrt x))) (* (- (- (sqrt (+ x 1.0))) (sqrt x)) (/ (* (sqrt (+ x 1.0)) (sqrt x)) 1.0)) (* (* (- (- (sqrt (+ x 1.0))) (sqrt x)) (sqrt x)) (sqrt (+ x 1.0))) (/ (- (- (sqrt (+ x 1.0))) (sqrt x)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (/ (- (- (sqrt (+ x 1.0))) (sqrt x)) (sqrt (- x 1.0))) (/ (/ 1.0 (* (sqrt (+ x 1.0)) (sqrt x))) (- (pow (- (sqrt (+ x 1.0))) 3) (pow (sqrt x) 3))) (/ (/ 1.0 (- (+ (- (+ x 1.0)) x))) (* (sqrt (+ x 1.0)) (sqrt x))) (* (* (- (- (sqrt (+ x 1.0))) (sqrt x)) (sqrt x)) (sqrt (+ x 1.0))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))) (* (- (- (sqrt (+ x 1.0))) (sqrt x)) (/ (* (sqrt (+ x 1.0)) (sqrt x)) 1.0)) (- (+ (* (sqrt (+ x 1.0)) (sqrt x)) x)) (- (+ (+ x 1.0) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (pow (- (sqrt (+ x 1.0))) 3) (pow (sqrt x) 3)) (+ (+ (- x (* (sqrt (+ x 1.0)) (sqrt x))) 1.0) x) (- (sqrt x)) (+ 1.0 (- x x)) (- (sqrt x) (sqrt (+ x 1.0))) (+ (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (* +nan.0 (+ (- (pow x 2)) (- (pow x 3) x))) (- (+ 0.5 x) (/ 0.125 x)) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) (+ (- (* +nan.0 (pow x 2))) (- (* +nan.0 x) +nan.0)) (- (* 0.375 (/ 1 (pow x 3))) (- (/ (/ 0.5 x) x) (/ 1.0 x))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) (/ +nan.0 (pow x 3))) (- (+ (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (/ +nan.0 (sqrt 1.0))) (+ (+ (* (/ x (/ 1.0 x)) (- +nan.0 (/ +nan.0 1.0))) (* +nan.0 (- (/ (pow x 2) (sqrt 1.0)) (/ x 1.0)))) (* +nan.0 (- (/ (pow x 2) (pow (sqrt 1.0) 3)) (- (/ x (sqrt 1.0)) (/ x (pow (sqrt 1.0) 3))))))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) (/ +nan.0 (pow x 3))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) (/ +nan.0 (pow x 3))) (- (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (sqrt 1.0)) (+ (* 1/2 (/ x (sqrt 1.0))) (* x (- (* +nan.0 x) +nan.0)))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) 3.128 * * * [progress]: adding candidates to table 3.252 * [progress]: [Phase 3 of 3] Extracting. 3.252 * * [regime]: Finding splitpoints for: (# # # # # # # #) 3.256 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.256 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 3.291 * * * [regime]: Found split indices: #