18.129 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (- (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0)))) 0.034 * * [simplify]: iteration 0 : 11 enodes (cost 6 ) 0.036 * * [simplify]: iteration 1 : 14 enodes (cost 6 ) 0.037 * * [simplify]: iteration 2 : 14 enodes (cost 6 ) 0.037 * [simplify]: Simplified to: (- (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0)))) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.054 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.056 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.060 * * * [progress]: generating series expansions 0.060 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.060 * [approximate]: Taking taylor expansion of (- (* 1.0 (sqrt (/ 1 x))) (* 1.0 (sqrt (/ 1 (+ x 1.0))))) in (x) around 0 0.060 * [taylor]: Taking taylor expansion of (- (* 1.0 (sqrt (/ 1 x))) (* 1.0 (sqrt (/ 1 (+ x 1.0))))) in x 0.060 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.060 * [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 0.136 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.136 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.136 * [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 0.139 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in x 0.139 * [taylor]: Taking taylor expansion of 1.0 in x 0.139 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ 1.0 (/ 1 x)))) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.139 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.139 * [taylor]: Taking taylor expansion of 1.0 in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.169 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (sqrt (/ -1 x)))) (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in (x) around 0 0.169 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sqrt (/ -1 x)))) (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in x 0.169 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 0.169 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.169 * [taylor]: Taking taylor expansion of -1 in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sqrt (/ -1 x)))) (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in x 0.173 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 0.173 * [taylor]: Taking taylor expansion of 1.0 in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 0.173 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.173 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.173 * [taylor]: Taking taylor expansion of -1 in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 0.175 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.175 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.175 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.207 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.207 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in (x) around 0 0.207 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.207 * [taylor]: Taking taylor expansion of 1.0 in x 0.207 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.209 * [taylor]: Taking taylor expansion of 1.0 in x 0.209 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.221 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt x)) in (x) around 0 0.221 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.221 * [taylor]: Taking taylor expansion of 1.0 in x 0.221 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.222 * [taylor]: Taking taylor expansion of 1.0 in x 0.222 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.233 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in (x) around 0 0.233 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 0.233 * [taylor]: Taking taylor expansion of 1.0 in x 0.233 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.233 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.233 * [taylor]: Taking taylor expansion of -1 in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 0.235 * [taylor]: Taking taylor expansion of 1.0 in x 0.235 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.235 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.235 * [taylor]: Taking taylor expansion of -1 in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.247 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.247 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in (x) around 0 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 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.251 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in x 0.251 * [taylor]: Taking taylor expansion of 1.0 in x 0.251 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.251 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in (x) around 0 0.289 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in x 0.289 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ 1.0 (/ 1 x)))) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.289 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.289 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in x 0.291 * [taylor]: Taking taylor expansion of 1.0 in x 0.291 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ 1.0 (/ 1 x)))) in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.291 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.291 * [taylor]: Taking taylor expansion of 1.0 in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.308 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in (x) around 0 0.308 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 0.308 * [taylor]: Taking taylor expansion of 1.0 in x 0.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.308 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.308 * [taylor]: Taking taylor expansion of 1.0 in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.310 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.330 * * * [progress]: simplifying candidates 0.331 * [simplify]: Simplifying using # : (fma 1.0 (/ 1 (sqrt x)) (- (* (/ 1 (sqrt (+ x 1.0))) 1.0))) (fma (- (/ 1 (sqrt (+ x 1.0)))) 1.0 (* (/ 1 (sqrt (+ x 1.0))) 1.0)) (fma 1.0 (/ 1 (sqrt x)) (- (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (/ 1.0 (sqrt (+ (pow x 3) (pow 1.0 3))))))) (fma (- (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (/ 1.0 (sqrt (+ (pow x 3) (pow 1.0 3)))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (/ 1.0 (sqrt (+ (pow x 3) (pow 1.0 3)))))) (fma 1.0 (/ 1 (sqrt x)) (- (* (sqrt (- x 1.0)) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0))))))) (fma (- (sqrt (- x 1.0))) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (- x 1.0)) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0)))))) (- (/ 1.0 (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)))) (* (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)))))))) 0.336 * * [simplify]: iteration 0 : 392 enodes (cost 413 ) 0.343 * * [simplify]: iteration 1 : 1308 enodes (cost 349 ) 0.368 * * [simplify]: iteration 2 : 5002 enodes (cost 327 ) 0.371 * [simplify]: Simplified to: (- (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0)))) (* (/ 1 (sqrt (+ x 1.0))) (+ (- 1.0) 1.0)) (fma (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (/ (- 1.0) (hypot (pow 1.0 3/2) (pow x 3/2))) (/ 1.0 (sqrt x))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (+ (/ (- 1.0) (hypot (pow 1.0 3/2) (pow x 3/2))) (/ 1.0 (sqrt (+ (pow x 3) (pow 1.0 3)))))) (fma (- (sqrt (- x 1.0))) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0)))) (/ 1.0 (sqrt x))) (* (/ 1.0 (sqrt (- (* x 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))) (* (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))) (fma 1 (- (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)) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (+ (/ (- (sqrt x)) 1.0) (/ (sqrt (+ x 1.0)) 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)) (fma (/ 1.0 (sqrt (+ x 1.0))) (+ (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0)))) (* (/ 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 (hypot (pow 1.0 3/2) (pow x 3/2))) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0)))) (+ (- (- (fma 0.5 (/ x (sqrt 1.0)) (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3)))) +nan.0) (fma 1.0 (sqrt 1.0) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) (* +nan.0 (- (pow x 2) x))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (fma (- (pow x 2)) +nan.0 (fma +nan.0 x (- +nan.0))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (- (+ (pow (sqrt 1.0) 3) (* (/ (pow x 2) (sqrt 1.0)) (- 0.5 (/ 0.125 1.0)))) (* 0.5 (/ x (sqrt 1.0)))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) 0.371 * * * [progress]: adding candidates to table 0.466 * * [progress]: iteration 2 / 4 0.466 * * * [progress]: picking best candidate 0.485 * * * * [pick]: Picked # 0.485 * * * [progress]: localizing error 0.493 * * * [progress]: generating rewritten candidates 0.493 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.497 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.502 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.511 * * * [progress]: generating series expansions 0.511 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.511 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.511 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.511 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.511 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.515 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.515 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of 1.0 in x 0.517 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.539 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.539 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.539 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.539 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.539 * [taylor]: Taking taylor expansion of 1.0 in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.547 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.547 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.565 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.565 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.565 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.565 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.565 * [taylor]: Taking taylor expansion of 1.0 in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.567 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.567 * [taylor]: Taking taylor expansion of -1 in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.569 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.569 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.569 * [taylor]: Taking taylor expansion of 1.0 in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.571 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.571 * [taylor]: Taking taylor expansion of -1 in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.588 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.588 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (* x (+ x 1.0)))) in (x) around 0 0.588 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (* x (+ x 1.0)))) in x 0.588 * [taylor]: Taking taylor expansion of 1.0 in x 0.588 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 0.588 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (* x (+ x 1.0)))) in x 0.591 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 0.591 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of 1.0 in x 0.606 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ (+ 1.0 (/ 1 x)) x))) in (x) around 0 0.606 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ (+ 1.0 (/ 1 x)) x))) in x 0.606 * [taylor]: Taking taylor expansion of 1.0 in x 0.606 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 0.606 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.606 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.606 * [taylor]: Taking taylor expansion of 1.0 in x 0.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ (+ 1.0 (/ 1 x)) x))) in x 0.610 * [taylor]: Taking taylor expansion of 1.0 in x 0.610 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 0.610 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.610 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.610 * [taylor]: Taking taylor expansion of 1.0 in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.620 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in (x) around 0 0.620 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.620 * [taylor]: Taking taylor expansion of 1.0 in x 0.620 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.620 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.620 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.620 * [taylor]: Taking taylor expansion of 1.0 in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.622 * [taylor]: Taking taylor expansion of -1 in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.624 * [taylor]: Taking taylor expansion of 1.0 in x 0.624 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.624 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.624 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.624 * [taylor]: Taking taylor expansion of 1.0 in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.626 * [taylor]: Taking taylor expansion of -1 in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.666 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.667 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (* x (+ x 1.0)))) (- (sqrt (+ x 1.0)) (sqrt x)))) in (x) around 0 0.667 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (* x (+ x 1.0)))) (- (sqrt (+ x 1.0)) (sqrt x)))) in x 0.667 * [taylor]: Taking taylor expansion of 1.0 in x 0.667 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* x (+ x 1.0)))) (- (sqrt (+ x 1.0)) (sqrt x))) in x 0.667 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ x 1.0)))) in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ x 1.0))) in x 0.667 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of 1.0 in x 0.670 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.670 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.670 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.670 * [taylor]: Taking taylor expansion of 1.0 in x 0.672 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (* x (+ x 1.0)))) (- (sqrt (+ x 1.0)) (sqrt x)))) in x 0.673 * [taylor]: Taking taylor expansion of 1.0 in x 0.673 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* x (+ x 1.0)))) (- (sqrt (+ x 1.0)) (sqrt x))) in x 0.673 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ x 1.0)))) in x 0.673 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ x 1.0))) in x 0.673 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of 1.0 in x 0.677 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.677 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.677 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of 1.0 in x 0.679 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.800 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ x (+ 1.0 (/ 1 x)))) (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))))) in (x) around 0 0.800 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ x (+ 1.0 (/ 1 x)))) (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))))) in x 0.800 * [taylor]: Taking taylor expansion of 1.0 in x 0.800 * [taylor]: Taking taylor expansion of (* (sqrt (/ x (+ 1.0 (/ 1 x)))) (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)))) in x 0.800 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ 1.0 (/ 1 x)))) in x 0.800 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.800 * [taylor]: Taking taylor expansion of 1.0 in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.805 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.805 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.805 * [taylor]: Taking taylor expansion of 1.0 in x 0.805 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ x (+ 1.0 (/ 1 x)))) (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))))) in x 0.816 * [taylor]: Taking taylor expansion of 1.0 in x 0.816 * [taylor]: Taking taylor expansion of (* (sqrt (/ x (+ 1.0 (/ 1 x)))) (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)))) in x 0.816 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ 1.0 (/ 1 x)))) in x 0.816 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.816 * [taylor]: Taking taylor expansion of 1.0 in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.821 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.821 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.821 * [taylor]: Taking taylor expansion of 1.0 in x 0.821 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.864 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (sqrt (/ -1 x))))) in (x) around 0 0.864 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (sqrt (/ -1 x))))) in x 0.865 * [taylor]: Taking taylor expansion of 1.0 in x 0.865 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (sqrt (/ -1 x)))) in x 0.865 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.865 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.865 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.865 * [taylor]: Taking taylor expansion of 1.0 in x 0.865 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of (/ (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (sqrt (/ -1 x))) in x 0.867 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.867 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.867 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.867 * [taylor]: Taking taylor expansion of 1.0 in x 0.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.869 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.869 * [taylor]: Taking taylor expansion of -1 in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.870 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.870 * [taylor]: Taking taylor expansion of -1 in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (sqrt (/ -1 x))))) in x 0.873 * [taylor]: Taking taylor expansion of 1.0 in x 0.873 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (sqrt (/ -1 x)))) in x 0.873 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.873 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.873 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.873 * [taylor]: Taking taylor expansion of 1.0 in x 0.873 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (/ (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (sqrt (/ -1 x))) in x 0.876 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.876 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.876 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.876 * [taylor]: Taking taylor expansion of 1.0 in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.878 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.878 * [taylor]: Taking taylor expansion of -1 in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.879 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.879 * [taylor]: Taking taylor expansion of -1 in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.952 * * * [progress]: simplifying candidates 0.953 * [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)) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (* (sqrt x) (sqrt (+ x 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))) (/ (sqrt (+ x 1.0)) (* (sqrt x) (/ (sqrt (+ x 1.0)) 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)) (/ (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))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- (+ 0.5 (* 1.0 x)) (* 0.125 (/ 1 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)))))))) 0.958 * * [simplify]: iteration 0 : 358 enodes (cost 319 ) 0.964 * * [simplify]: iteration 1 : 1442 enodes (cost 277 ) 0.995 * * [simplify]: iteration 2 : 5002 enodes (cost 266 ) 0.997 * [simplify]: Simplified to: (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (+ (fma (sqrt x) (sqrt (+ x 1.0)) x) x) 1.0) (- (sqrt x)) (+ 1.0 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)))) (sqrt x) (* (sqrt x) (hypot (pow 1.0 3/2) (pow x 3/2))) (* (sqrt x) (sqrt (- (* x 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))) (/ 1 (/ (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)) (/ (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)) (hypot (pow 1.0 3/2) (pow x 3/2))) (sqrt x)) (/ (- (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt x) (sqrt (- (* x x) (* 1.0 1.0))))) (* (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (+ (+ (fma (sqrt x) (sqrt (+ x 1.0)) x) x) 1.0)) (* (fma (sqrt x) (sqrt (+ x 1.0)) x) (/ (sqrt (+ x 1.0)) 1.0)) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow x 3) x))) (+ (/ (- 0.125) x) (fma x 1.0 0.5)) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (fma (- (pow x 2)) +nan.0 (fma (sqrt 1.0) +nan.0 (fma (- +nan.0) (/ (pow x 2) (sqrt 1.0)) (fma +nan.0 (* x (sqrt 1.0)) (fma (- +nan.0) x (fma +nan.0 (* (pow x 2) (sqrt 1.0)) (fma (- +nan.0) (/ x (sqrt 1.0)) (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) 0.997 * * * [progress]: adding candidates to table 1.104 * * [progress]: iteration 3 / 4 1.104 * * * [progress]: picking best candidate 1.114 * * * * [pick]: Picked # 1.114 * * * [progress]: localizing error 1.125 * * * [progress]: generating rewritten candidates 1.125 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.130 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.141 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.147 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.152 * * * [progress]: generating series expansions 1.152 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.152 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (* x (+ x 1.0)))) in (x) around 0 1.152 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (* x (+ x 1.0)))) in x 1.152 * [taylor]: Taking taylor expansion of 1.0 in x 1.152 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 1.152 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of 1.0 in x 1.156 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (* x (+ x 1.0)))) in x 1.157 * [taylor]: Taking taylor expansion of 1.0 in x 1.157 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 1.157 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.157 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.157 * [taylor]: Taking taylor expansion of 1.0 in x 1.171 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ (+ 1.0 (/ 1 x)) x))) in (x) around 0 1.171 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ (+ 1.0 (/ 1 x)) x))) in x 1.171 * [taylor]: Taking taylor expansion of 1.0 in x 1.171 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 1.172 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 1.172 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.172 * [taylor]: Taking taylor expansion of 1.0 in x 1.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.181 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ (+ 1.0 (/ 1 x)) x))) in x 1.181 * [taylor]: Taking taylor expansion of 1.0 in x 1.181 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 1.181 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 1.181 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.181 * [taylor]: Taking taylor expansion of 1.0 in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.192 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in (x) around 0 1.192 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 1.192 * [taylor]: Taking taylor expansion of 1.0 in x 1.192 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 1.192 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.192 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.192 * [taylor]: Taking taylor expansion of 1.0 in x 1.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.194 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.194 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.194 * [taylor]: Taking taylor expansion of -1 in x 1.194 * [taylor]: Taking taylor expansion of x in x 1.196 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 1.196 * [taylor]: Taking taylor expansion of 1.0 in x 1.196 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 1.196 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.196 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.196 * [taylor]: Taking taylor expansion of 1.0 in x 1.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.196 * [taylor]: Taking taylor expansion of x in x 1.198 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.198 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.198 * [taylor]: Taking taylor expansion of -1 in x 1.198 * [taylor]: Taking taylor expansion of x in x 1.233 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.233 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0)))))) in (x) around 0 1.233 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0)))))) in x 1.233 * [taylor]: Taking taylor expansion of 1.0 in x 1.233 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0))))) in x 1.233 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.233 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.233 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.233 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.233 * [taylor]: Taking taylor expansion of x in x 1.233 * [taylor]: Taking taylor expansion of 1.0 in x 1.235 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.235 * [taylor]: Taking taylor expansion of x in x 1.237 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ x 1.0)))) in x 1.237 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ x 1.0))) in x 1.237 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.237 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.237 * [taylor]: Taking taylor expansion of 1.0 in x 1.240 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0)))))) in x 1.240 * [taylor]: Taking taylor expansion of 1.0 in x 1.240 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0))))) in x 1.240 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.241 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.241 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.241 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.241 * [taylor]: Taking taylor expansion of x in x 1.241 * [taylor]: Taking taylor expansion of 1.0 in x 1.242 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.242 * [taylor]: Taking taylor expansion of x in x 1.245 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ x 1.0)))) in x 1.245 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ x 1.0))) in x 1.245 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 1.245 * [taylor]: Taking taylor expansion of x in x 1.245 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.245 * [taylor]: Taking taylor expansion of x in x 1.245 * [taylor]: Taking taylor expansion of 1.0 in x 1.578 * [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 1.578 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x)))))) in x 1.578 * [taylor]: Taking taylor expansion of 1.0 in x 1.578 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x))))) in x 1.578 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.578 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.578 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.578 * [taylor]: Taking taylor expansion of x in x 1.580 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.580 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.580 * [taylor]: Taking taylor expansion of 1.0 in x 1.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.580 * [taylor]: Taking taylor expansion of x in x 1.583 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ 1.0 (/ 1 x)))) in x 1.583 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 1.583 * [taylor]: Taking taylor expansion of x in x 1.583 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.583 * [taylor]: Taking taylor expansion of 1.0 in x 1.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.583 * [taylor]: Taking taylor expansion of x in x 1.588 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x)))))) in x 1.588 * [taylor]: Taking taylor expansion of 1.0 in x 1.588 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x))))) in x 1.588 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.588 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.588 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.588 * [taylor]: Taking taylor expansion of x in x 1.589 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.589 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.589 * [taylor]: Taking taylor expansion of 1.0 in x 1.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.589 * [taylor]: Taking taylor expansion of x in x 1.592 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ 1.0 (/ 1 x)))) in x 1.592 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.592 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.592 * [taylor]: Taking taylor expansion of 1.0 in x 1.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.634 * [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 1.634 * [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 1.634 * [taylor]: Taking taylor expansion of 1.0 in x 1.634 * [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 1.634 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) in x 1.634 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 1.634 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.634 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.634 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.634 * [taylor]: Taking taylor expansion of -1 in x 1.634 * [taylor]: Taking taylor expansion of x in x 1.636 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.636 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.636 * [taylor]: Taking taylor expansion of 1.0 in x 1.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.636 * [taylor]: Taking taylor expansion of x in x 1.639 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.639 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.639 * [taylor]: Taking taylor expansion of -1 in x 1.639 * [taylor]: Taking taylor expansion of x in x 1.652 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.652 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.652 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.652 * [taylor]: Taking taylor expansion of 1.0 in x 1.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.652 * [taylor]: Taking taylor expansion of x in x 1.654 * [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 1.654 * [taylor]: Taking taylor expansion of 1.0 in x 1.654 * [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 1.654 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) in x 1.654 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 1.654 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.654 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.654 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.654 * [taylor]: Taking taylor expansion of -1 in x 1.654 * [taylor]: Taking taylor expansion of x in x 1.655 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.655 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.655 * [taylor]: Taking taylor expansion of 1.0 in x 1.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.655 * [taylor]: Taking taylor expansion of x in x 1.657 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.657 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.657 * [taylor]: Taking taylor expansion of -1 in x 1.657 * [taylor]: Taking taylor expansion of x in x 1.670 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.670 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.670 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.670 * [taylor]: Taking taylor expansion of 1.0 in x 1.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.670 * [taylor]: Taking taylor expansion of x in x 1.755 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.756 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.756 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.756 * [taylor]: Taking taylor expansion of 1.0 in x 1.756 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.756 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.756 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.756 * [taylor]: Taking taylor expansion of x in x 1.756 * [taylor]: Taking taylor expansion of 1.0 in x 1.758 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.758 * [taylor]: Taking taylor expansion of x in x 1.760 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.760 * [taylor]: Taking taylor expansion of 1.0 in x 1.760 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.760 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.760 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.760 * [taylor]: Taking taylor expansion of x in x 1.760 * [taylor]: Taking taylor expansion of 1.0 in x 1.762 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.762 * [taylor]: Taking taylor expansion of x in x 1.845 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.845 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.845 * [taylor]: Taking taylor expansion of 1.0 in x 1.845 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.845 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.845 * [taylor]: Taking taylor expansion of x in x 1.847 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.847 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.847 * [taylor]: Taking taylor expansion of 1.0 in x 1.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.847 * [taylor]: Taking taylor expansion of x in x 1.849 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.849 * [taylor]: Taking taylor expansion of 1.0 in x 1.849 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.849 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.849 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.849 * [taylor]: Taking taylor expansion of x in x 1.851 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.851 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.851 * [taylor]: Taking taylor expansion of 1.0 in x 1.851 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.851 * [taylor]: Taking taylor expansion of x in x 1.879 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.879 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.879 * [taylor]: Taking taylor expansion of 1.0 in x 1.879 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.879 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.879 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.879 * [taylor]: Taking taylor expansion of -1 in x 1.879 * [taylor]: Taking taylor expansion of x in x 1.880 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.880 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.880 * [taylor]: Taking taylor expansion of 1.0 in x 1.880 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.880 * [taylor]: Taking taylor expansion of x in x 1.883 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.883 * [taylor]: Taking taylor expansion of 1.0 in x 1.883 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.883 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.883 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.883 * [taylor]: Taking taylor expansion of -1 in x 1.883 * [taylor]: Taking taylor expansion of x in x 1.885 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.885 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.885 * [taylor]: Taking taylor expansion of 1.0 in x 1.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.885 * [taylor]: Taking taylor expansion of x in x 1.907 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.907 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 1.907 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.907 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.907 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.907 * [taylor]: Taking taylor expansion of x in x 1.907 * [taylor]: Taking taylor expansion of 1.0 in x 1.909 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.909 * [taylor]: Taking taylor expansion of x in x 1.910 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.910 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.910 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.910 * [taylor]: Taking taylor expansion of x in x 1.910 * [taylor]: Taking taylor expansion of 1.0 in x 1.912 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.912 * [taylor]: Taking taylor expansion of x in x 1.931 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 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 1.933 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.933 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.933 * [taylor]: Taking taylor expansion of 1.0 in x 1.933 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.933 * [taylor]: Taking taylor expansion of x in x 1.935 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.935 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.935 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.935 * [taylor]: Taking taylor expansion of x in x 1.936 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.936 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.936 * [taylor]: Taking taylor expansion of 1.0 in x 1.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.936 * [taylor]: Taking taylor expansion of x in x 1.957 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 1.957 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.957 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.957 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.957 * [taylor]: Taking taylor expansion of -1 in x 1.957 * [taylor]: Taking taylor expansion of x in x 1.958 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.958 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.958 * [taylor]: Taking taylor expansion of 1.0 in x 1.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.958 * [taylor]: Taking taylor expansion of x in x 1.960 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.960 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.960 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.960 * [taylor]: Taking taylor expansion of -1 in x 1.960 * [taylor]: Taking taylor expansion of x in x 1.962 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.962 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.962 * [taylor]: Taking taylor expansion of 1.0 in x 1.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.962 * [taylor]: Taking taylor expansion of x in x 1.978 * * * [progress]: simplifying candidates 1.979 * [simplify]: Simplifying using # : (* (sqrt x) (sqrt (+ x 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 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0))) (/ (+ 1.0 0) (sqrt x)) (/ (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ x 1.0)) 1.0)) (/ (+ 1.0 0) (* (sqrt x) (sqrt (+ x 1.0)))) (/ (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1.0)) (/ (+ 1.0 0) (/ (sqrt (+ x 1.0)) 1.0)) (/ (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt x)) (/ (/ (+ 1.0 0) (+ (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 0) (+ (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 0) (+ (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 0) (- (* (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 0) (- (* (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 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)) (/ 1 (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0))) (/ (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt x)) (/ (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0)))) (/ (/ (+ 1.0 0) (+ (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 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt x)) (/ (/ (+ 1.0 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 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) 1)) (/ (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ (pow x 3) (pow 1.0 3))))) (/ (/ (+ 1.0 0) (+ (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 0))) (* (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (* 1.0 1.0) (- (* 0 0) (* 1.0 0))))) (* (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (- 1.0 0))) (- (+ 1.0 0)) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (/ (+ 1.0 0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (* 1.0 1.0) (- (* 0 0) (* 1.0 0)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (- 1.0 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 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- (+ 0.5 (* 1.0 x)) (* 0.125 (/ 1 x))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +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)))))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.985 * * [simplify]: iteration 0 : 555 enodes (cost 674 ) 1.995 * * [simplify]: iteration 1 : 2599 enodes (cost 577 ) 2.041 * * [simplify]: iteration 2 : 5002 enodes (cost 560 ) 2.044 * [simplify]: Simplified to: (* (sqrt x) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt (+ x 1.0))) (* (sqrt x) (- (sqrt (+ x 1.0)))) (sqrt x) (* (sqrt x) (hypot (pow 1.0 3/2) (pow x 3/2))) (* (sqrt x) (sqrt (- (* x x) (* 1.0 1.0)))) (/ (- 0 1.0) (+ (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 1.0))) (sqrt x)) (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) 1.0) (* (/ 1.0 (sqrt (+ x 1.0))) 1.0) (* (/ 2 (fma (sqrt (+ x 1.0)) (sqrt x) x)) 1/2) (/ (/ 1.0 (sqrt x)) (fma x (sqrt x) (pow (sqrt (+ x 1.0)) 3))) (* (/ (- (+ (+ x 1.0) x) (* (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ x 1.0))) 1.0) (/ (/ (/ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (fma x (sqrt x) (pow (sqrt (+ x 1.0)) 3))) (* (- (+ (+ x 1.0) x) (* (sqrt (+ x 1.0)) (sqrt x))) 1.0) (/ (* (/ 1.0 (sqrt (+ x 1.0))) 1.0) (fma x (sqrt x) (pow (sqrt (+ x 1.0)) 3))) (/ (- (+ (+ x 1.0) x) (* (sqrt (+ x 1.0)) (sqrt x))) (sqrt x)) (/ (/ 1.0 (sqrt x)) (+ x (- 1.0 x))) (/ (- (sqrt (+ x 1.0)) (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (/ (/ (/ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (+ x (- 1.0 x))) (* (- (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ (* (/ 1.0 (sqrt (+ x 1.0))) 1.0) (+ x (- 1.0 x))) (- (/ (sqrt (+ x 1.0)) (sqrt x)) 1) (/ 1 (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0))) (* (/ (fma (sqrt (+ x 1.0)) (sqrt x) x) 1.0) (/ (/ (sqrt (+ x 1.0)) 1.0) 1)) (/ 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)) 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (/ (sqrt (+ x 1.0)) 1.0) (/ (fma (sqrt (+ x 1.0)) (sqrt x) x) 1)) (/ (/ (sqrt x) (/ (- (+ (+ x 1.0) x) (* (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ 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 1.0)) (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 1.0)) (sqrt x)))) (/ 1.0 (* (sqrt x) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (/ 1.0 (* (sqrt x) (+ (sqrt (+ x 1.0)) (sqrt x)))) (hypot (pow 1.0 3/2) (pow x 3/2))) (/ 1.0 (* (* (sqrt x) (sqrt (- (* x x) (* 1.0 1.0)))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (/ (sqrt (+ x 1.0)) 1.0) (/ (fma (sqrt (+ x 1.0)) (sqrt x) x) 1)) (* (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (- (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (/ (fma (sqrt (+ x 1.0)) (sqrt x) x) 1.0) (/ (/ (sqrt (+ x 1.0)) 1.0) 1)) (* (* (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (fma 1.0 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (* (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) 1.0) (- 0 1.0) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (/ (+ 1.0 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 1.0)) (sqrt x))) (fma x (sqrt x) (pow (sqrt (+ x 1.0)) 3)) (- (+ (+ x 1.0) x) (* (sqrt (+ x 1.0)) (sqrt x))) (+ x (- 1.0 x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow x 3) x))) (+ (/ (- 0.125) x) (fma x 1.0 0.5)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (fma (- +nan.0) (/ (pow x 2) (pow (sqrt 1.0) 5)) (fma +nan.0 (/ 1 (sqrt 1.0)) (fma (- +nan.0) (/ x (/ 1.0 x)) (fma +nan.0 (* (/ x 1.0) (/ x 1.0)) (fma (- +nan.0) (/ (pow x 2) (sqrt 1.0)) (fma +nan.0 (/ x 1.0) (fma (- +nan.0) (/ (pow x 2) (pow (sqrt 1.0) 3)) (* +nan.0 (- (/ x (sqrt 1.0)) (/ x (pow (sqrt 1.0) 3))))))))))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (+ (- (fma 1.0 (/ 1 (sqrt 1.0)) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (fma +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)) (* 0.5 (/ x (pow (sqrt 1.0) 3))))) (+ (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (/ (- (* +nan.0 x)) 1.0)) (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) 2.044 * * * [progress]: adding candidates to table 2.226 * * [progress]: iteration 4 / 4 2.226 * * * [progress]: picking best candidate 2.249 * * * * [pick]: Picked # 2.249 * * * [progress]: localizing error 2.265 * * * [progress]: generating rewritten candidates 2.265 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.267 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.275 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.278 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 2.280 * * * [progress]: generating series expansions 2.280 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.281 * [approximate]: Taking taylor expansion of (/ 2 (fma (sqrt (+ x 1.0)) (sqrt x) x)) in (x) around 0 2.281 * [taylor]: Taking taylor expansion of (/ 2 (fma (sqrt (+ x 1.0)) (sqrt x) x)) in x 2.281 * [taylor]: Taking taylor expansion of 2 in x 2.281 * [taylor]: Taking taylor expansion of (fma (sqrt (+ x 1.0)) (sqrt x) x) in x 2.281 * [taylor]: Rewrote expression to (+ (* (sqrt (+ x 1.0)) (sqrt x)) x) 2.281 * [taylor]: Taking taylor expansion of (* (sqrt (+ x 1.0)) (sqrt x)) in x 2.281 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.281 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.281 * [taylor]: Taking taylor expansion of x in x 2.281 * [taylor]: Taking taylor expansion of 1.0 in x 2.283 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.283 * [taylor]: Taking taylor expansion of x in x 2.284 * [taylor]: Taking taylor expansion of x in x 2.289 * [taylor]: Taking taylor expansion of (/ 2 (fma (sqrt (+ x 1.0)) (sqrt x) x)) in x 2.289 * [taylor]: Taking taylor expansion of 2 in x 2.290 * [taylor]: Taking taylor expansion of (fma (sqrt (+ x 1.0)) (sqrt x) x) in x 2.290 * [taylor]: Rewrote expression to (+ (* (sqrt (+ x 1.0)) (sqrt x)) x) 2.290 * [taylor]: Taking taylor expansion of (* (sqrt (+ x 1.0)) (sqrt x)) in x 2.290 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.290 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.290 * [taylor]: Taking taylor expansion of x in x 2.290 * [taylor]: Taking taylor expansion of 1.0 in x 2.292 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.292 * [taylor]: Taking taylor expansion of x in x 2.293 * [taylor]: Taking taylor expansion of x in x 2.538 * [approximate]: Taking taylor expansion of (/ 2 (fma (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x))) in (x) around 0 2.538 * [taylor]: Taking taylor expansion of (/ 2 (fma (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x))) in x 2.538 * [taylor]: Taking taylor expansion of 2 in x 2.538 * [taylor]: Taking taylor expansion of (fma (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x)) in x 2.538 * [taylor]: Rewrote expression to (+ (* (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) (/ 1 x)) 2.539 * [taylor]: Taking taylor expansion of (* (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 2.539 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.539 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.539 * [taylor]: Taking taylor expansion of 1.0 in x 2.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.539 * [taylor]: Taking taylor expansion of x in x 2.540 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.540 * [taylor]: Taking taylor expansion of x in x 2.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.542 * [taylor]: Taking taylor expansion of x in x 2.543 * [taylor]: Taking taylor expansion of (/ 2 (fma (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x))) in x 2.543 * [taylor]: Taking taylor expansion of 2 in x 2.544 * [taylor]: Taking taylor expansion of (fma (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x)) in x 2.544 * [taylor]: Rewrote expression to (+ (* (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) (/ 1 x)) 2.544 * [taylor]: Taking taylor expansion of (* (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 2.544 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.544 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.544 * [taylor]: Taking taylor expansion of 1.0 in x 2.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.544 * [taylor]: Taking taylor expansion of x in x 2.545 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.545 * [taylor]: Taking taylor expansion of x in x 2.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.547 * [taylor]: Taking taylor expansion of x in x 2.572 * [approximate]: Taking taylor expansion of (/ 2 (fma (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)) (/ -1 x))) in (x) around 0 2.572 * [taylor]: Taking taylor expansion of (/ 2 (fma (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)) (/ -1 x))) in x 2.572 * [taylor]: Taking taylor expansion of 2 in x 2.572 * [taylor]: Taking taylor expansion of (fma (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)) (/ -1 x)) in x 2.572 * [taylor]: Rewrote expression to (+ (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (/ -1 x)) 2.573 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.573 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.573 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.573 * [taylor]: Taking taylor expansion of 1.0 in x 2.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.573 * [taylor]: Taking taylor expansion of x in x 2.574 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.574 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.574 * [taylor]: Taking taylor expansion of -1 in x 2.575 * [taylor]: Taking taylor expansion of x in x 2.576 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.576 * [taylor]: Taking taylor expansion of -1 in x 2.576 * [taylor]: Taking taylor expansion of x in x 2.577 * [taylor]: Taking taylor expansion of (/ 2 (fma (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)) (/ -1 x))) in x 2.577 * [taylor]: Taking taylor expansion of 2 in x 2.577 * [taylor]: Taking taylor expansion of (fma (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)) (/ -1 x)) in x 2.578 * [taylor]: Rewrote expression to (+ (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (/ -1 x)) 2.578 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.578 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.578 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.578 * [taylor]: Taking taylor expansion of 1.0 in x 2.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.578 * [taylor]: Taking taylor expansion of x in x 2.580 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.580 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.580 * [taylor]: Taking taylor expansion of -1 in x 2.580 * [taylor]: Taking taylor expansion of x in x 2.581 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.581 * [taylor]: Taking taylor expansion of -1 in x 2.581 * [taylor]: Taking taylor expansion of x in x 2.613 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.613 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (fma (sqrt (+ x 1.0)) (sqrt x) x)) (sqrt (/ 1 (+ x 1.0))))) in (x) around 0 2.613 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fma (sqrt (+ x 1.0)) (sqrt x) x)) (sqrt (/ 1 (+ x 1.0))))) in x 2.613 * [taylor]: Taking taylor expansion of 1.0 in x 2.613 * [taylor]: Taking taylor expansion of (* (/ 1 (fma (sqrt (+ x 1.0)) (sqrt x) x)) (sqrt (/ 1 (+ x 1.0)))) in x 2.613 * [taylor]: Taking taylor expansion of (/ 1 (fma (sqrt (+ x 1.0)) (sqrt x) x)) in x 2.613 * [taylor]: Taking taylor expansion of (fma (sqrt (+ x 1.0)) (sqrt x) x) in x 2.613 * [taylor]: Rewrote expression to (+ (* (sqrt (+ x 1.0)) (sqrt x)) x) 2.613 * [taylor]: Taking taylor expansion of (* (sqrt (+ x 1.0)) (sqrt x)) in x 2.613 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.613 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.613 * [taylor]: Taking taylor expansion of x in x 2.613 * [taylor]: Taking taylor expansion of 1.0 in x 2.615 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.615 * [taylor]: Taking taylor expansion of x in x 2.616 * [taylor]: Taking taylor expansion of x in x 2.621 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 2.621 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 2.621 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.621 * [taylor]: Taking taylor expansion of x in x 2.621 * [taylor]: Taking taylor expansion of 1.0 in x 2.625 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fma (sqrt (+ x 1.0)) (sqrt x) x)) (sqrt (/ 1 (+ x 1.0))))) in x 2.625 * [taylor]: Taking taylor expansion of 1.0 in x 2.625 * [taylor]: Taking taylor expansion of (* (/ 1 (fma (sqrt (+ x 1.0)) (sqrt x) x)) (sqrt (/ 1 (+ x 1.0)))) in x 2.625 * [taylor]: Taking taylor expansion of (/ 1 (fma (sqrt (+ x 1.0)) (sqrt x) x)) in x 2.625 * [taylor]: Taking taylor expansion of (fma (sqrt (+ x 1.0)) (sqrt x) x) in x 2.625 * [taylor]: Rewrote expression to (+ (* (sqrt (+ x 1.0)) (sqrt x)) x) 2.625 * [taylor]: Taking taylor expansion of (* (sqrt (+ x 1.0)) (sqrt x)) in x 2.625 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.626 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.626 * [taylor]: Taking taylor expansion of x in x 2.626 * [taylor]: Taking taylor expansion of 1.0 in x 2.627 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.627 * [taylor]: Taking taylor expansion of x in x 2.628 * [taylor]: Taking taylor expansion of x in x 2.633 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 2.633 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 2.634 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.634 * [taylor]: Taking taylor expansion of x in x 2.634 * [taylor]: Taking taylor expansion of 1.0 in x 3.133 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (fma (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x))) (sqrt (/ 1 (+ 1.0 (/ 1 x)))))) in (x) around 0 3.133 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fma (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x))) (sqrt (/ 1 (+ 1.0 (/ 1 x)))))) in x 3.133 * [taylor]: Taking taylor expansion of 1.0 in x 3.133 * [taylor]: Taking taylor expansion of (* (/ 1 (fma (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x))) (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in x 3.133 * [taylor]: Taking taylor expansion of (/ 1 (fma (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x))) in x 3.133 * [taylor]: Taking taylor expansion of (fma (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x)) in x 3.133 * [taylor]: Rewrote expression to (+ (* (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) (/ 1 x)) 3.133 * [taylor]: Taking taylor expansion of (* (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 3.133 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.133 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.133 * [taylor]: Taking taylor expansion of 1.0 in x 3.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.133 * [taylor]: Taking taylor expansion of x in x 3.135 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.135 * [taylor]: Taking taylor expansion of x in x 3.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.136 * [taylor]: Taking taylor expansion of x in x 3.138 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ 1.0 (/ 1 x)))) in x 3.138 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 3.138 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.138 * [taylor]: Taking taylor expansion of 1.0 in x 3.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.138 * [taylor]: Taking taylor expansion of x in x 3.140 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fma (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x))) (sqrt (/ 1 (+ 1.0 (/ 1 x)))))) in x 3.140 * [taylor]: Taking taylor expansion of 1.0 in x 3.140 * [taylor]: Taking taylor expansion of (* (/ 1 (fma (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x))) (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in x 3.140 * [taylor]: Taking taylor expansion of (/ 1 (fma (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x))) in x 3.140 * [taylor]: Taking taylor expansion of (fma (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x)) in x 3.140 * [taylor]: Rewrote expression to (+ (* (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) (/ 1 x)) 3.140 * [taylor]: Taking taylor expansion of (* (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 3.140 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.140 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.140 * [taylor]: Taking taylor expansion of 1.0 in x 3.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.140 * [taylor]: Taking taylor expansion of x in x 3.141 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.141 * [taylor]: Taking taylor expansion of x in x 3.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.143 * [taylor]: Taking taylor expansion of x in x 3.144 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ 1.0 (/ 1 x)))) in x 3.144 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 3.144 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.144 * [taylor]: Taking taylor expansion of 1.0 in x 3.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.144 * [taylor]: Taking taylor expansion of x in x 3.213 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ 1 (fma (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)) (/ -1 x))))) in (x) around 0 3.213 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ 1 (fma (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)) (/ -1 x))))) in x 3.213 * [taylor]: Taking taylor expansion of 1.0 in x 3.213 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ 1 (fma (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)) (/ -1 x)))) in x 3.213 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 3.213 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 3.213 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.213 * [taylor]: Taking taylor expansion of 1.0 in x 3.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.213 * [taylor]: Taking taylor expansion of x in x 3.215 * [taylor]: Taking taylor expansion of (/ 1 (fma (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)) (/ -1 x))) in x 3.215 * [taylor]: Taking taylor expansion of (fma (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)) (/ -1 x)) in x 3.215 * [taylor]: Rewrote expression to (+ (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (/ -1 x)) 3.215 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 3.215 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.215 * [taylor]: Taking taylor expansion of 1.0 in x 3.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.215 * [taylor]: Taking taylor expansion of x in x 3.217 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.217 * [taylor]: Taking taylor expansion of -1 in x 3.217 * [taylor]: Taking taylor expansion of x in x 3.219 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.219 * [taylor]: Taking taylor expansion of -1 in x 3.219 * [taylor]: Taking taylor expansion of x in x 3.220 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ 1 (fma (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)) (/ -1 x))))) in x 3.220 * [taylor]: Taking taylor expansion of 1.0 in x 3.220 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ 1 (fma (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)) (/ -1 x)))) in x 3.220 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 3.220 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 3.220 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.220 * [taylor]: Taking taylor expansion of 1.0 in x 3.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.220 * [taylor]: Taking taylor expansion of x in x 3.222 * [taylor]: Taking taylor expansion of (/ 1 (fma (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)) (/ -1 x))) in x 3.222 * [taylor]: Taking taylor expansion of (fma (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)) (/ -1 x)) in x 3.223 * [taylor]: Rewrote expression to (+ (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (/ -1 x)) 3.223 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 3.223 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.223 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.223 * [taylor]: Taking taylor expansion of 1.0 in x 3.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.223 * [taylor]: Taking taylor expansion of x in x 3.224 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.224 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.224 * [taylor]: Taking taylor expansion of -1 in x 3.225 * [taylor]: Taking taylor expansion of x in x 3.226 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.226 * [taylor]: Taking taylor expansion of -1 in x 3.226 * [taylor]: Taking taylor expansion of x in x 3.295 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.295 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in (x) around 0 3.295 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in x 3.295 * [taylor]: Taking taylor expansion of 1.0 in x 3.295 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 3.295 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 3.295 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.295 * [taylor]: Taking taylor expansion of x in x 3.295 * [taylor]: Taking taylor expansion of 1.0 in x 3.299 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in x 3.299 * [taylor]: Taking taylor expansion of 1.0 in x 3.299 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 3.299 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 3.299 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.299 * [taylor]: Taking taylor expansion of x in x 3.299 * [taylor]: Taking taylor expansion of 1.0 in x 3.329 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in (x) around 0 3.329 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in x 3.329 * [taylor]: Taking taylor expansion of 1.0 in x 3.329 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ 1.0 (/ 1 x)))) in x 3.329 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 3.329 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.329 * [taylor]: Taking taylor expansion of 1.0 in x 3.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.329 * [taylor]: Taking taylor expansion of x in x 3.331 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in x 3.331 * [taylor]: Taking taylor expansion of 1.0 in x 3.331 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ 1.0 (/ 1 x)))) in x 3.331 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 3.331 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.331 * [taylor]: Taking taylor expansion of 1.0 in x 3.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.331 * [taylor]: Taking taylor expansion of x in x 3.355 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in (x) around 0 3.356 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 3.356 * [taylor]: Taking taylor expansion of 1.0 in x 3.356 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 3.356 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 3.356 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.356 * [taylor]: Taking taylor expansion of 1.0 in x 3.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.356 * [taylor]: Taking taylor expansion of x in x 3.358 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 3.358 * [taylor]: Taking taylor expansion of 1.0 in x 3.358 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 3.358 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 3.358 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.358 * [taylor]: Taking taylor expansion of 1.0 in x 3.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.358 * [taylor]: Taking taylor expansion of x in x 3.376 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 3.376 * [approximate]: Taking taylor expansion of (fma (sqrt (+ x 1.0)) (sqrt x) x) in (x) around 0 3.376 * [taylor]: Taking taylor expansion of (fma (sqrt (+ x 1.0)) (sqrt x) x) in x 3.376 * [taylor]: Rewrote expression to (+ (* (sqrt (+ x 1.0)) (sqrt x)) x) 3.376 * [taylor]: Taking taylor expansion of (* (sqrt (+ x 1.0)) (sqrt x)) in x 3.376 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.376 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.376 * [taylor]: Taking taylor expansion of x in x 3.376 * [taylor]: Taking taylor expansion of 1.0 in x 3.378 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.378 * [taylor]: Taking taylor expansion of x in x 3.379 * [taylor]: Taking taylor expansion of x in x 3.379 * [taylor]: Taking taylor expansion of (fma (sqrt (+ x 1.0)) (sqrt x) x) in x 3.380 * [taylor]: Rewrote expression to (+ (* (sqrt (+ x 1.0)) (sqrt x)) x) 3.380 * [taylor]: Taking taylor expansion of (* (sqrt (+ x 1.0)) (sqrt x)) in x 3.380 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.380 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.380 * [taylor]: Taking taylor expansion of x in x 3.380 * [taylor]: Taking taylor expansion of 1.0 in x 3.381 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.381 * [taylor]: Taking taylor expansion of x in x 3.382 * [taylor]: Taking taylor expansion of x in x 3.456 * [approximate]: Taking taylor expansion of (fma (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x)) in (x) around 0 3.456 * [taylor]: Taking taylor expansion of (fma (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x)) in x 3.456 * [taylor]: Rewrote expression to (+ (* (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) (/ 1 x)) 3.457 * [taylor]: Taking taylor expansion of (* (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 3.457 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.457 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.457 * [taylor]: Taking taylor expansion of 1.0 in x 3.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.457 * [taylor]: Taking taylor expansion of x in x 3.458 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.458 * [taylor]: Taking taylor expansion of x in x 3.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.460 * [taylor]: Taking taylor expansion of x in x 3.460 * [taylor]: Taking taylor expansion of (fma (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x)) in x 3.460 * [taylor]: Rewrote expression to (+ (* (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) (/ 1 x)) 3.460 * [taylor]: Taking taylor expansion of (* (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 3.460 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.460 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.460 * [taylor]: Taking taylor expansion of 1.0 in x 3.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.460 * [taylor]: Taking taylor expansion of x in x 3.462 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.462 * [taylor]: Taking taylor expansion of x in x 3.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.463 * [taylor]: Taking taylor expansion of x in x 3.482 * [approximate]: Taking taylor expansion of (fma (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)) (/ -1 x)) in (x) around 0 3.482 * [taylor]: Taking taylor expansion of (fma (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)) (/ -1 x)) in x 3.482 * [taylor]: Rewrote expression to (+ (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (/ -1 x)) 3.482 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 3.482 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.482 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.482 * [taylor]: Taking taylor expansion of 1.0 in x 3.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.482 * [taylor]: Taking taylor expansion of x in x 3.484 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.484 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.484 * [taylor]: Taking taylor expansion of -1 in x 3.484 * [taylor]: Taking taylor expansion of x in x 3.485 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.485 * [taylor]: Taking taylor expansion of -1 in x 3.485 * [taylor]: Taking taylor expansion of x in x 3.485 * [taylor]: Taking taylor expansion of (fma (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)) (/ -1 x)) in x 3.485 * [taylor]: Rewrote expression to (+ (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (/ -1 x)) 3.485 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 3.486 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.486 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.486 * [taylor]: Taking taylor expansion of 1.0 in x 3.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.486 * [taylor]: Taking taylor expansion of x in x 3.487 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.487 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.487 * [taylor]: Taking taylor expansion of -1 in x 3.487 * [taylor]: Taking taylor expansion of x in x 3.489 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.489 * [taylor]: Taking taylor expansion of -1 in x 3.489 * [taylor]: Taking taylor expansion of x in x 3.508 * * * [progress]: simplifying candidates 3.509 * [simplify]: Simplifying using # : (- 2) (- (fma (sqrt (+ x 1.0)) (sqrt x) x)) (/ 1 (fma (sqrt (+ x 1.0)) (sqrt x) x)) (/ (fma (sqrt (+ x 1.0)) (sqrt x) x) 2) (* (* 1.0 1.0) (* 2 1/2)) (* (sqrt (+ x 1.0)) (fma (sqrt (+ x 1.0)) (sqrt x) x)) (* (* 1.0 1.0) (* (- 2) 1/2)) (* (sqrt (+ x 1.0)) (- (fma (sqrt (+ x 1.0)) (sqrt x) x))) (* (* 1.0 1.0) (* 1 1/2)) (* (sqrt (+ x 1.0)) (/ (fma (sqrt (+ x 1.0)) (sqrt x) x) 2)) (* (* (- 1.0) 1.0) (* 2 1/2)) (* (- (sqrt (+ x 1.0))) (fma (sqrt (+ x 1.0)) (sqrt x) x)) (* (* (- 1.0) 1.0) (* (- 2) 1/2)) (* (- (sqrt (+ x 1.0))) (- (fma (sqrt (+ x 1.0)) (sqrt x) x))) (* (* (- 1.0) 1.0) (* 1 1/2)) (* (- (sqrt (+ x 1.0))) (/ (fma (sqrt (+ x 1.0)) (sqrt x) x) 2)) (* (* 1 1.0) (* 2 1/2)) (* (/ (sqrt (+ x 1.0)) 1.0) (fma (sqrt (+ x 1.0)) (sqrt x) x)) (* (* 1 1.0) (* (- 2) 1/2)) (* (/ (sqrt (+ x 1.0)) 1.0) (- (fma (sqrt (+ x 1.0)) (sqrt x) x))) (* (* 1 1.0) (* 1 1/2)) (* (/ (sqrt (+ x 1.0)) 1.0) (/ (fma (sqrt (+ x 1.0)) (sqrt x) x) 2)) (* (* (/ 1.0 (sqrt (+ x 1.0))) 1.0) (/ 2 (fma (sqrt (+ x 1.0)) (sqrt x) x))) (* (* (/ 1.0 (sqrt (+ x 1.0))) 1.0) 2) (* (* (/ 1.0 (sqrt (+ x 1.0))) 1.0) 1/2) (* 1.0 (* (/ 2 (fma (sqrt (+ x 1.0)) (sqrt x) x)) 1/2)) (* (* (/ 1 (sqrt (+ x 1.0))) 1.0) (* (/ 2 (fma (sqrt (+ x 1.0)) (sqrt x) x)) 1/2)) (* (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) 1.0) (* (/ 2 (fma (sqrt (+ x 1.0)) (sqrt x) x)) 1/2)) (* (* (sqrt (- x 1.0)) 1.0) (* (/ 2 (fma (sqrt (+ x 1.0)) (sqrt x) x)) 1/2)) (* (/ 1.0 (sqrt (+ x 1.0))) (* (/ 2 (fma (sqrt (+ x 1.0)) (sqrt x) x)) 1/2)) (* (* (/ 1.0 (sqrt (+ x 1.0))) 1.0) (* 2 1/2)) (* (* (/ 1.0 (sqrt (+ x 1.0))) 1.0) (* (- 2) 1/2)) (* (* (/ 1.0 (sqrt (+ x 1.0))) 1.0) (* 1 1/2)) (* (* 1.0 1.0) (* (/ 2 (fma (sqrt (+ x 1.0)) (sqrt x) x)) 1/2)) (* (* (- 1.0) 1.0) (* (/ 2 (fma (sqrt (+ x 1.0)) (sqrt x) x)) 1/2)) (* (* 1 1.0) (* (/ 2 (fma (sqrt (+ x 1.0)) (sqrt x) x)) 1/2)) (- 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)))) (* (sqrt (+ x 1.0)) (sqrt x)) (- (* 2 (/ 1 (* (- 1 (* +nan.0 (sqrt 1.0))) x))) (+ (* +nan.0 (/ x (* (pow (- 1 (* +nan.0 (sqrt 1.0))) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (/ x (* (pow (- 1 (* +nan.0 (sqrt 1.0))) 3) (pow (sqrt 1.0) 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- 1 (* +nan.0 (sqrt 1.0))) 2) (sqrt 1.0)))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (- 1 (* +nan.0 (sqrt 1.0))) 2))) (- (+ (* +nan.0 (/ (* x (sqrt 1.0)) (pow (- 1 (* +nan.0 (sqrt 1.0))) 2))) (- (+ (* +nan.0 (/ x (* (pow (- 1 (* +nan.0 (sqrt 1.0))) 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ (* x (pow (sqrt 1.0) 2)) (pow (- 1 (* +nan.0 (sqrt 1.0))) 3))) (- (* +nan.0 (/ x (pow (- 1 (* +nan.0 (sqrt 1.0))) 3)))))))))))))))))) (- (* 2 (/ 1 x)) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 (pow x 3)))))) (- (* 2 (/ 1 x)) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 (pow x 3)))))) (- (+ (* 1.0 (/ (sqrt 1.0) (* (- 1 (* +nan.0 (sqrt 1.0))) x))) (* 0.5 (/ x (* (- 1 (* +nan.0 (sqrt 1.0))) (sqrt 1.0))))) (+ (* +nan.0 (/ (* x (sqrt 1.0)) (pow (- 1 (* +nan.0 (sqrt 1.0))) 3))) (- (+ (* 0.5 (/ 1 (* (- 1 (* +nan.0 (sqrt 1.0))) (sqrt 1.0)))) (* 0.125 (/ x (* (- 1 (* +nan.0 (sqrt 1.0))) (pow (sqrt 1.0) 3))))) (+ (* +nan.0 (/ x (* (pow (- 1 (* +nan.0 (sqrt 1.0))) 3) (sqrt 1.0)))) (- (+ (* +nan.0 (/ (* x (pow (sqrt 1.0) 2)) (pow (- 1 (* +nan.0 (sqrt 1.0))) 2))) (- (+ (* +nan.0 (/ (* x (pow (sqrt 1.0) 3)) (pow (- 1 (* +nan.0 (sqrt 1.0))) 3))) (- (+ (* +nan.0 (/ x (pow (- 1 (* +nan.0 (sqrt 1.0))) 2))) (- (+ (* +nan.0 (/ x (* (pow (- 1 (* +nan.0 (sqrt 1.0))) 2) (pow (sqrt 1.0) 2)))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow (- 1 (* +nan.0 (sqrt 1.0))) 2))) (- (* +nan.0 (/ 1 (pow (- 1 (* +nan.0 (sqrt 1.0))) 2)))))))))))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 4))) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 4))) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* 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)))))))) (- x (+ (* +nan.0 (* (pow x 3) (sqrt 1.0))) (- (+ (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (* x (sqrt 1.0))) (- (+ (* +nan.0 (* (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (/ (pow x 3) (sqrt 1.0))) (- (* +nan.0 (/ (pow x 3) (pow (sqrt 1.0) 3)))))))))))))) (- x (+ +nan.0 (- (* +nan.0 (/ 1 x))))) (- x (+ +nan.0 (- (* +nan.0 (/ 1 x))))) 3.523 * * [simplify]: iteration 0 : 714 enodes (cost 573 ) 3.536 * * [simplify]: iteration 1 : 3434 enodes (cost 509 ) 3.595 * * [simplify]: iteration 2 : 5002 enodes (cost 503 ) 3.597 * [simplify]: Simplified to: (- 2) (- (fma (sqrt (+ x 1.0)) (sqrt x) x)) (/ 1 (fma (sqrt (+ x 1.0)) (sqrt x) x)) (/ (fma (sqrt (+ x 1.0)) (sqrt x) x) 2) (* 1.0 1.0) (* (sqrt (+ x 1.0)) (fma (sqrt (+ x 1.0)) (sqrt x) x)) (* (- 1.0) 1.0) (* (- (sqrt (+ x 1.0))) (fma (sqrt (+ x 1.0)) (sqrt x) x)) (* 1.0 (* 1.0 1/2)) (* (sqrt (+ x 1.0)) (/ (fma (sqrt (+ x 1.0)) (sqrt x) x) 2)) (* (- 1.0) 1.0) (* (- (sqrt (+ x 1.0))) (fma (sqrt (+ x 1.0)) (sqrt x) x)) (* 1.0 1.0) (* (sqrt (+ x 1.0)) (fma (sqrt (+ x 1.0)) (sqrt x) x)) (* (- 1.0) (* 1.0 1/2)) (* (- (sqrt (+ x 1.0))) (/ (fma (sqrt (+ x 1.0)) (sqrt x) x) 2)) 1.0 (* (/ (sqrt (+ x 1.0)) 1.0) (fma (sqrt (+ x 1.0)) (sqrt x) x)) (- 1.0) (* (/ (sqrt (+ x 1.0)) 1.0) (- (fma (sqrt (+ x 1.0)) (sqrt x) x))) (* 1/2 1.0) (* (/ (sqrt (+ x 1.0)) 1.0) (/ (fma (sqrt (+ x 1.0)) (sqrt x) x) 2)) (* (* (/ 1.0 (sqrt (+ x 1.0))) 1.0) (/ 2 (fma (sqrt (+ x 1.0)) (sqrt x) x))) (* (* (/ 1.0 (sqrt (+ x 1.0))) 1.0) 2) (* (/ 1.0 (sqrt (+ x 1.0))) (* 1.0 1/2)) (/ 1.0 (fma (sqrt (+ x 1.0)) (sqrt x) x)) (/ (* (/ 1.0 (sqrt (+ x 1.0))) 1) (fma (sqrt (+ x 1.0)) (sqrt x) x)) (* (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) 1.0) (/ 1 (fma (sqrt (+ x 1.0)) (sqrt x) x))) (* (* (sqrt (- x 1.0)) 1.0) (/ 1 (fma (sqrt (+ x 1.0)) (sqrt x) x))) (/ (* (/ 1.0 (sqrt (+ x 1.0))) 1) (fma (sqrt (+ x 1.0)) (sqrt x) x)) (* (/ 1.0 (sqrt (+ x 1.0))) 1.0) (* (- 1.0) (/ 1.0 (sqrt (+ x 1.0)))) (* (/ 1.0 (sqrt (+ x 1.0))) (* 1.0 1/2)) (* (* 1.0 1.0) (/ 1 (fma (sqrt (+ x 1.0)) (sqrt x) x))) (/ (* (- 1.0) 1.0) (fma (sqrt (+ x 1.0)) (sqrt x) x)) (/ 1.0 (fma (sqrt (+ x 1.0)) (sqrt x) x)) (- 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)))) (* (sqrt (+ x 1.0)) (sqrt x)) (+ (- (* 2 (/ 1 (* (- 1 (* +nan.0 (sqrt 1.0))) x))) (* +nan.0 (/ x (* (pow (- 1 (* +nan.0 (sqrt 1.0))) 2) (sqrt 1.0))))) (+ (+ (* (/ +nan.0 1.0) (/ x (pow (- 1 (* +nan.0 (sqrt 1.0))) 3))) (/ (- +nan.0) (* (pow (- 1 (* +nan.0 (sqrt 1.0))) 2) (sqrt 1.0)))) (- (* +nan.0 (/ (sqrt 1.0) (pow (- 1 (* +nan.0 (sqrt 1.0))) 2))) (- (* +nan.0 (/ (* x (sqrt 1.0)) (pow (- 1 (* +nan.0 (sqrt 1.0))) 2))) (- (* +nan.0 (/ x (* (pow (- 1 (* +nan.0 (sqrt 1.0))) 2) (pow (sqrt 1.0) 3)))) (fma +nan.0 (/ (* x (pow (sqrt 1.0) 2)) (pow (- 1 (* +nan.0 (sqrt 1.0))) 3)) (- (* +nan.0 (/ x (pow (- 1 (* +nan.0 (sqrt 1.0))) 3)))))))))) (- (- (/ 2 x) (/ (- +nan.0) (pow x 3))) (* +nan.0 (/ 1 (pow x 2)))) (- (- (/ 2 x) (/ (- +nan.0) (pow x 3))) (* +nan.0 (/ 1 (pow x 2)))) (+ (- (fma 1.0 (/ (sqrt 1.0) (* (- 1 (* +nan.0 (sqrt 1.0))) x)) (* 0.5 (/ x (* (- 1 (* +nan.0 (sqrt 1.0))) (sqrt 1.0))))) (fma +nan.0 (/ (* x (sqrt 1.0)) (pow (- 1 (* +nan.0 (sqrt 1.0))) 3)) (fma 0.5 (/ 1 (* (- 1 (* +nan.0 (sqrt 1.0))) (sqrt 1.0))) (* 0.125 (/ x (* (- 1 (* +nan.0 (sqrt 1.0))) (pow (sqrt 1.0) 3))))))) (+ (- (* +nan.0 (/ x (* (pow (- 1 (* +nan.0 (sqrt 1.0))) 3) (sqrt 1.0)))) (* +nan.0 (/ (* x (pow (sqrt 1.0) 2)) (pow (- 1 (* +nan.0 (sqrt 1.0))) 2)))) (+ (- (* +nan.0 (/ (* x (pow (sqrt 1.0) 3)) (pow (- 1 (* +nan.0 (sqrt 1.0))) 3))) (* +nan.0 (/ x (pow (- 1 (* +nan.0 (sqrt 1.0))) 2)))) (- (- (* (/ +nan.0 1.0) (/ x (pow (- 1 (* +nan.0 (sqrt 1.0))) 2))) (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow (- 1 (* +nan.0 (sqrt 1.0))) 2)))) (/ (- +nan.0) (pow (- 1 (* +nan.0 (sqrt 1.0))) 2)))))) (fma +nan.0 (- (/ 1 (pow x 4)) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (fma +nan.0 (- (/ 1 (pow x 4)) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (fma (sqrt 1.0) 1.0 (- (* 0.5 (/ (pow x 2) (sqrt 1.0))) (fma 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3)) (* 0.5 (/ x (sqrt 1.0)))))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (+ (- x (* +nan.0 (* (pow x 3) (sqrt 1.0)))) (- (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (- (* +nan.0 (* x (sqrt 1.0))) (- (* +nan.0 (* (pow x 2) (sqrt 1.0))) (fma +nan.0 (/ (pow x 3) (sqrt 1.0)) (- (* +nan.0 (/ (pow x 3) (pow (sqrt 1.0) 3))))))))) (- (- x (/ (- +nan.0) x)) +nan.0) (- (- x (/ (- +nan.0) x)) +nan.0) 3.598 * * * [progress]: adding candidates to table 3.743 * [progress]: [Phase 3 of 3] Extracting. 3.744 * * [regime]: Finding splitpoints for: (# # # # # # # #) 3.746 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.746 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 3.782 * * * [regime]: Found split indices: #