30.290 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (/ x (+ 1.0 (sqrt (+ x 1.0)))) 0.026 * * [simplify]: iteration 0 : 8 enodes (cost 4 ) 0.027 * * [simplify]: iteration 1 : 8 enodes (cost 4 ) 0.027 * [simplify]: Simplified to: (/ x (+ 1.0 (sqrt (+ x 1.0)))) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.029 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.034 * * * [progress]: generating rewritten candidates 0.034 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.050 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.054 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.066 * * * [progress]: generating series expansions 0.066 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.067 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.067 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.067 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.071 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.130 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.130 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.130 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.130 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.141 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.141 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.167 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.167 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.168 * [taylor]: Taking taylor expansion of -1 in x 0.168 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.168 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.168 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.176 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.176 * [taylor]: Taking taylor expansion of -1 in x 0.176 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.176 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.176 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of 1.0 in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of 1.0 in x 0.203 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.203 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.203 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of 1.0 in x 0.205 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.205 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of 1.0 in x 0.214 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.214 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.214 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.216 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.216 * [taylor]: Taking taylor expansion of 1.0 in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.226 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.226 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.226 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.228 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.228 * [taylor]: Taking taylor expansion of 1.0 in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.236 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.236 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 0.236 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.236 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.236 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of 1.0 in x 0.238 * [taylor]: Taking taylor expansion of 1.0 in x 0.238 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.238 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.238 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of 1.0 in x 0.240 * [taylor]: Taking taylor expansion of 1.0 in x 0.253 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 0.253 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.253 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.253 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.253 * [taylor]: Taking taylor expansion of 1.0 in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of 1.0 in x 0.255 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.255 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.255 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.255 * [taylor]: Taking taylor expansion of 1.0 in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 0.264 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.264 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.264 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.264 * [taylor]: Taking taylor expansion of 1.0 in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of 1.0 in x 0.266 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.266 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.266 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.266 * [taylor]: Taking taylor expansion of 1.0 in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of 1.0 in x 0.276 * * * [progress]: simplifying candidates 0.277 * [simplify]: Simplifying using # : (expm1 (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log1p (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ x (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (* x x) x) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (* (* (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ x (+ 1.0 (sqrt (+ x 1.0))))) (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- x) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 1) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 1) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x 1) (/ x 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ x (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (expm1 (+ 1.0 (sqrt (+ x 1.0)))) (log1p (+ 1.0 (sqrt (+ x 1.0)))) (* (exp 1.0) (exp (sqrt (+ x 1.0)))) (log (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))) (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (- 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (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))) 1.0)) (* 1/8 (/ (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))))) 0.283 * * [simplify]: iteration 0 : 334 enodes (cost 508 ) 0.288 * * [simplify]: iteration 1 : 1222 enodes (cost 457 ) 0.310 * * [simplify]: iteration 2 : 5002 enodes (cost 445 ) 0.313 * [simplify]: Simplified to: (expm1 (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log1p (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ x (+ 1.0 (sqrt (+ x 1.0))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (* (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- x) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 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)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) x x (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ x (- (- (* 1.0 1.0) x) 1.0)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (expm1 (+ 1.0 (sqrt (+ x 1.0)))) (log1p (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (log (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (pow (+ 1.0 (sqrt (+ x 1.0))) 3) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (fma 1.0 1.0 (+ x (- 1.0 (* 1.0 (sqrt (+ x 1.0)))))) (- (- (* 1.0 1.0) x) 1.0) (- 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (fma (- 1/2) (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))) (fma 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2))) (+ (* (/ 1/4 1.0) (/ (pow x 3) (pow (+ (sqrt 1.0) 1.0) 3))) (/ x (+ (sqrt 1.0) 1.0))))) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (sqrt 1.0) (- (fma 1/2 (/ x (sqrt 1.0)) 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) 0.313 * * * [progress]: adding candidates to table 0.466 * * [progress]: iteration 2 / 4 0.466 * * * [progress]: picking best candidate 0.470 * * * * [pick]: Picked # 0.470 * * * [progress]: localizing error 0.488 * * * [progress]: generating rewritten candidates 0.488 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.542 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 0.558 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 0.578 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 0.592 * * * [progress]: generating series expansions 0.593 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.593 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (pow (+ x 1.0) 3)) 1.0)) in (x) around 0 0.593 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (pow (+ x 1.0) 3)) 1.0)) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (+ (sqrt (pow (+ x 1.0) 3)) 1.0) in x 0.593 * [taylor]: Taking taylor expansion of (sqrt (pow (+ x 1.0) 3)) in x 0.593 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 3) in x 0.593 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of 1.0 in x 0.598 * [taylor]: Taking taylor expansion of 1.0 in x 0.599 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (pow (+ x 1.0) 3)) 1.0)) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of (+ (sqrt (pow (+ x 1.0) 3)) 1.0) in x 0.599 * [taylor]: Taking taylor expansion of (sqrt (pow (+ x 1.0) 3)) in x 0.599 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 3) in x 0.599 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.603 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (pow (+ 1.0 (/ 1 x)) 3)) 1.0))) in (x) around 0 0.683 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (pow (+ 1.0 (/ 1 x)) 3)) 1.0))) in x 0.683 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (pow (+ 1.0 (/ 1 x)) 3)) 1.0)) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (+ (sqrt (pow (+ 1.0 (/ 1 x)) 3)) 1.0) in x 0.683 * [taylor]: Taking taylor expansion of (sqrt (pow (+ 1.0 (/ 1 x)) 3)) in x 0.683 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 3) in x 0.683 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of 1.0 in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (pow (+ 1.0 (/ 1 x)) 3)) 1.0))) in x 0.694 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (pow (+ 1.0 (/ 1 x)) 3)) 1.0)) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (+ (sqrt (pow (+ 1.0 (/ 1 x)) 3)) 1.0) in x 0.694 * [taylor]: Taking taylor expansion of (sqrt (pow (+ 1.0 (/ 1 x)) 3)) in x 0.694 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 3) in x 0.694 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.694 * [taylor]: Taking taylor expansion of 1.0 in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (pow (- 1.0 (/ 1 x)) 3)) 1.0))) in (x) around 0 0.735 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (pow (- 1.0 (/ 1 x)) 3)) 1.0))) in x 0.735 * [taylor]: Taking taylor expansion of -1 in x 0.735 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (pow (- 1.0 (/ 1 x)) 3)) 1.0)) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (+ (sqrt (pow (- 1.0 (/ 1 x)) 3)) 1.0) in x 0.735 * [taylor]: Taking taylor expansion of (sqrt (pow (- 1.0 (/ 1 x)) 3)) in x 0.735 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 3) in x 0.735 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of 1.0 in x 0.747 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (pow (- 1.0 (/ 1 x)) 3)) 1.0))) in x 0.747 * [taylor]: Taking taylor expansion of -1 in x 0.747 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (pow (- 1.0 (/ 1 x)) 3)) 1.0)) in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.747 * [taylor]: Taking taylor expansion of (+ (sqrt (pow (- 1.0 (/ 1 x)) 3)) 1.0) in x 0.747 * [taylor]: Taking taylor expansion of (sqrt (pow (- 1.0 (/ 1 x)) 3)) in x 0.747 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 3) in x 0.747 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.747 * [taylor]: Taking taylor expansion of 1.0 in x 0.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of 1.0 in x 0.785 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 0.785 * [approximate]: Taking taylor expansion of (- (+ x 1.0) (* 1.0 (sqrt (+ x 1.0)))) in (x) around 0 0.785 * [taylor]: Taking taylor expansion of (- (+ x 1.0) (* 1.0 (sqrt (+ x 1.0)))) in x 0.785 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.785 * [taylor]: Taking taylor expansion of 1.0 in x 0.785 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (+ x 1.0))) in x 0.785 * [taylor]: Taking taylor expansion of 1.0 in x 0.785 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.785 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.785 * [taylor]: Taking taylor expansion of 1.0 in x 0.787 * [taylor]: Taking taylor expansion of (- (+ x 1.0) (* 1.0 (sqrt (+ x 1.0)))) in x 0.787 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of 1.0 in x 0.787 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (+ x 1.0))) in x 0.787 * [taylor]: Taking taylor expansion of 1.0 in x 0.787 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.787 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of 1.0 in x 0.824 * [approximate]: Taking taylor expansion of (- (+ (/ 1 x) 1.0) (* 1.0 (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.824 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0) (* 1.0 (sqrt (+ 1.0 (/ 1 x))))) in x 0.824 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.824 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of 1.0 in x 0.824 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (+ 1.0 (/ 1 x)))) in x 0.824 * [taylor]: Taking taylor expansion of 1.0 in x 0.824 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.824 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.824 * [taylor]: Taking taylor expansion of 1.0 in x 0.824 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0) (* 1.0 (sqrt (+ 1.0 (/ 1 x))))) in x 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of 1.0 in x 0.826 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (+ 1.0 (/ 1 x)))) in x 0.826 * [taylor]: Taking taylor expansion of 1.0 in x 0.826 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.826 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.826 * [taylor]: Taking taylor expansion of 1.0 in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.838 * [approximate]: Taking taylor expansion of (- 1.0 (+ (* 1.0 (sqrt (- 1.0 (/ 1 x)))) (/ 1 x))) in (x) around 0 0.838 * [taylor]: Taking taylor expansion of (- 1.0 (+ (* 1.0 (sqrt (- 1.0 (/ 1 x)))) (/ 1 x))) in x 0.838 * [taylor]: Taking taylor expansion of 1.0 in x 0.838 * [taylor]: Taking taylor expansion of (+ (* 1.0 (sqrt (- 1.0 (/ 1 x)))) (/ 1 x)) in x 0.838 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (- 1.0 (/ 1 x)))) in x 0.838 * [taylor]: Taking taylor expansion of 1.0 in x 0.838 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.838 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.838 * [taylor]: Taking taylor expansion of 1.0 in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of (- 1.0 (+ (* 1.0 (sqrt (- 1.0 (/ 1 x)))) (/ 1 x))) in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.841 * [taylor]: Taking taylor expansion of (+ (* 1.0 (sqrt (- 1.0 (/ 1 x)))) (/ 1 x)) in x 0.841 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (- 1.0 (/ 1 x)))) in x 0.841 * [taylor]: Taking taylor expansion of 1.0 in x 0.841 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.841 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.841 * [taylor]: Taking taylor expansion of 1.0 in x 0.841 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.853 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 0.854 * [approximate]: Taking taylor expansion of (+ x 1.0) in (x) around 0 0.854 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.854 * [taylor]: Taking taylor expansion of 1.0 in x 0.854 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.854 * [taylor]: Taking taylor expansion of 1.0 in x 0.856 * [approximate]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in (x) around 0 0.856 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.856 * [taylor]: Taking taylor expansion of 1.0 in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.856 * [taylor]: Taking taylor expansion of 1.0 in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.862 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 x)) in (x) around 0 0.862 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.862 * [taylor]: Taking taylor expansion of 1.0 in x 0.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.862 * [taylor]: Taking taylor expansion of 1.0 in x 0.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.870 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 0.870 * [approximate]: Taking taylor expansion of (pow (sqrt (+ x 1.0)) 3) in (x) around 0 0.870 * [taylor]: Taking taylor expansion of (pow (sqrt (+ x 1.0)) 3) in x 0.870 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.870 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of 1.0 in x 0.872 * [taylor]: Taking taylor expansion of (pow (sqrt (+ x 1.0)) 3) in x 0.872 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.872 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of 1.0 in x 0.908 * [approximate]: Taking taylor expansion of (pow (sqrt (+ 1.0 (/ 1 x))) 3) in (x) around 0 0.908 * [taylor]: Taking taylor expansion of (pow (sqrt (+ 1.0 (/ 1 x))) 3) in x 0.908 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.908 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.908 * [taylor]: Taking taylor expansion of 1.0 in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of (pow (sqrt (+ 1.0 (/ 1 x))) 3) in x 0.910 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.910 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.910 * [taylor]: Taking taylor expansion of 1.0 in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.924 * [approximate]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 x))) 3) in (x) around 0 0.924 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 x))) 3) in x 0.924 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.924 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.924 * [taylor]: Taking taylor expansion of 1.0 in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 x))) 3) in x 0.926 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.926 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.926 * [taylor]: Taking taylor expansion of 1.0 in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.941 * * * [progress]: simplifying candidates 0.944 * [simplify]: Simplifying using # : (expm1 (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (log1p (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (- (log x) (log (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (log (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (exp (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (/ (* (* x x) x) (* (* (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (* (cbrt (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (cbrt (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))))) (cbrt (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (* (* (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (sqrt (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (sqrt (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (- x) (- (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (cbrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))))) (/ (cbrt x) (cbrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (/ (cbrt x) (sqrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (/ (* (cbrt x) (cbrt x)) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ (* (cbrt x) (cbrt x)) (pow 1 3)) (/ (cbrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ (* (cbrt x) (cbrt x)) (pow 1 3)) (/ (cbrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ (* (cbrt x) (cbrt x)) (pow 1 3)) (/ (cbrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ (* (cbrt x) (cbrt x)) (pow 1 3)) (/ (cbrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ (sqrt x) (* (cbrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (cbrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))))) (/ (sqrt x) (cbrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (/ (sqrt x) (sqrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (/ (sqrt x) (sqrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (/ (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)))) (/ (sqrt x) 1) (/ (sqrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ (sqrt x) (pow 1 3)) (/ (sqrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ (sqrt x) (pow 1 3)) (/ (sqrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ (sqrt x) (pow 1 3)) (/ (sqrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ (sqrt x) (pow 1 3)) (/ (sqrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ (sqrt x) 1) (/ (sqrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ 1 (* (cbrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (cbrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))))) (/ x (cbrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (/ 1 (sqrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (/ x (sqrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (/ 1 (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0)))))) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 1) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ 1 (pow 1 3)) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ 1 (pow 1 3)) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ 1 (pow 1 3)) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ 1 (pow 1 3)) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ 1 1) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ 1 (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) x) (/ x (* (cbrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (cbrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))))) (/ x (sqrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (/ x (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0)))))) (/ x 1) (/ x (pow 1 3)) (/ x (pow 1 3)) (/ x (pow 1 3)) (/ x (pow 1 3)) (/ x 1) (/ (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (cbrt x)) (/ (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (sqrt x)) (/ (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) x) (/ x (+ (pow (pow 1.0 3) 3) (pow (pow (sqrt (+ x 1.0)) 3) 3))) (/ x (- (* (pow 1.0 3) (pow 1.0 3)) (* (pow (sqrt (+ x 1.0)) 3) (pow (sqrt (+ x 1.0)) 3)))) (fma (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (- (* (sqrt (+ x 1.0)) 1.0))) (fma (- (sqrt (+ x 1.0))) 1.0 (* (sqrt (+ x 1.0)) 1.0)) (expm1 (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))) (log1p (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))) (- (* 1.0 (sqrt (+ x 1.0)))) (/ (exp (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (exp (* 1.0 (sqrt (+ x 1.0))))) (log (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))) (exp (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))) (* (cbrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))) (cbrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0)))))) (cbrt (- (* (sqrt (+ x 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)))) (- (* (sqrt (+ x 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))))) (sqrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))) (sqrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))) (- (* (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3)))) (* 1.0 (sqrt (+ (pow x 3) (pow 1.0 3))))) (- (* (sqrt (+ x 1.0)) (sqrt (- (* x x) (* 1.0 1.0)))) (* 1.0 (sqrt (- (* x x) (* 1.0 1.0))))) (- (* (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ (pow x 3) (pow 1.0 3))))) (- (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (+ x 1.0))) (* 1.0 (sqrt (- (* x x) (* 1.0 1.0))))) (- (* (* (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (* (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (* 1.0 (sqrt (+ 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(* 1.0 (sqrt (+ x 1.0))))) (* (sqrt (+ x 1.0)) (+ (- 1.0) 1.0)) (expm1 (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))) (log1p (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))) (- (* 1.0 (sqrt (+ x 1.0)))) (exp (- (+ x 1.0) (* 1.0 (sqrt (+ x 1.0))))) (+ (log (sqrt (+ x 1.0))) (log (- (sqrt (+ x 1.0)) 1.0))) (exp (- (+ x 1.0) (* 1.0 (sqrt (+ x 1.0))))) (* (cbrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))) (cbrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0)))))) (cbrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))) (pow (* (sqrt (+ x 1.0)) (- (sqrt (+ x 1.0)) 1.0)) 3) (sqrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))) (sqrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))) (* (hypot (pow x 3/2) (pow 1.0 3/2)) (- (sqrt (+ x 1.0)) 1.0)) (* (sqrt (- (* x x) (* 1.0 1.0))) (- (sqrt (+ x 1.0)) 1.0)) (* (hypot (pow x 3/2) (pow 1.0 3/2)) (- (sqrt (+ x 1.0)) 1.0)) (* (sqrt (- (* x x) (* 1.0 1.0))) (- (sqrt (+ x 1.0)) 1.0)) (fma (* (- (hypot (pow x 3/2) (pow 1.0 3/2))) 1.0) (fma x x (* 1.0 (- 1.0 x))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (+ (pow x 3) (pow 1.0 3)))) (pow (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) 3) (fma (- (fma x x (* 1.0 (- 1.0 x)))) (* 1.0 (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (- x 1.0)) (+ (pow x 3) (pow 1.0 3)))) (* (fma x x (* 1.0 (- 1.0 x))) (sqrt (- x 1.0))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (- (* (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (- x 1.0)) (* 1.0 (sqrt (+ (pow x 3) (pow 1.0 3))))))) (* (fma x x (* 1.0 (- 1.0 x))) (sqrt (- x 1.0))) (* (sqrt (- x 1.0)) (- (* (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* 1.0 (sqrt (- (* x x) (* 1.0 1.0))))))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (- x 1.0)) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (- (* (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (- x 1.0)) (* 1.0 (sqrt (+ (pow x 3) (pow 1.0 3))))))) (* (fma x x (* 1.0 (- 1.0 x))) (sqrt (- x 1.0))) (* (sqrt (- x 1.0)) (- (* (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* 1.0 (sqrt (- (* x x) (* 1.0 1.0))))))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (- x 1.0)) (fma (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (+ x 1.0)) (- x 1.0) (* (- (* (- x 1.0) 1.0)) (hypot (pow x 3/2) (pow 1.0 3/2)))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (- x 1.0)) (fma (+ x 1.0) (pow (sqrt (- x 1.0)) 3) (* (- (* (- x 1.0) 1.0)) (sqrt (- (* x x) (* 1.0 1.0))))) (pow (sqrt (- x 1.0)) 3) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (hypot (pow x 3/2) (pow 1.0 3/2)) (- (sqrt (+ x 1.0)) 1.0))) (fma x x (* 1.0 (- 1.0 x))) (fma (hypot (pow x 3/2) (pow 1.0 3/2)) (* (sqrt (+ x 1.0)) (sqrt (- x 1.0))) (- (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* 1.0 (sqrt (- (* x x) (* 1.0 1.0))))))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- x 1.0))) (fma (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (+ x 1.0)) (* (- (* (sqrt (- x 1.0)) 1.0)) (hypot (pow x 3/2) (pow 1.0 3/2)))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- x 1.0))) (* (sqrt (- x 1.0)) (* (sqrt (- (* x x) (* 1.0 1.0))) (- (sqrt (+ x 1.0)) 1.0))) (- x 1.0) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (hypot (pow x 3/2) (pow 1.0 3/2)) (- (sqrt (+ x 1.0)) 1.0))) (fma x x (* 1.0 (- 1.0 x))) (fma (hypot (pow x 3/2) (pow 1.0 3/2)) (* (sqrt (+ x 1.0)) (sqrt (- x 1.0))) (- (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* 1.0 (sqrt (- (* x x) (* 1.0 1.0))))))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- x 1.0))) (fma (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (+ x 1.0)) (* (- (* (sqrt (- x 1.0)) 1.0)) (hypot (pow x 3/2) (pow 1.0 3/2)))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- x 1.0))) (* (sqrt (- x 1.0)) (* (sqrt (- (* x x) (* 1.0 1.0))) (- (sqrt (+ x 1.0)) 1.0))) (- x 1.0) (+ (- (pow (* 1.0 (sqrt (+ x 1.0))) 3)) (pow (+ x 1.0) 3)) (fma (+ x 1.0) (fma 1.0 1.0 (+ x 1.0)) (* (pow (sqrt (+ x 1.0)) 3) 1.0)) (- (* 1.0 (sqrt (+ x 1.0)))) (* (+ x 1.0) (- (+ x 1.0) (* 1.0 1.0))) (fma (sqrt (+ x 1.0)) 1.0 (+ x 1.0)) (- (sqrt (+ x 1.0)) 1.0) (- (* 1.0 (sqrt (+ x 1.0)))) (expm1 (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (log1p (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) 1 1 2 1 1 (* (+ x 1.0) (+ x 1.0)) (+ x 1.0) (* (+ x 1.0) (+ x 1.0)) 2 (log (+ x 1.0)) (log (+ x 1.0)) (exp (+ x 1.0)) (pow (+ x 1.0) 3) (pow (cbrt (sqrt (+ x 1.0))) 4) (cbrt (+ x 1.0)) (pow (+ x 1.0) 3) (* (+ x 1.0) (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (+ (pow x 3) (pow 1.0 3)) (fma x x (* 1.0 (- 1.0 x))) (* (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- x 1.0))) (* (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- x 1.0))) (- (* x x) (* 1.0 1.0)) (- x 1.0) (pow (cbrt (sqrt (+ x 1.0))) 4) (cbrt (+ x 1.0)) (pow (cbrt (sqrt (+ x 1.0))) 4) (cbrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) 1 (+ x 1.0) 1 (+ x 1.0) 1 (+ x 1.0) 1 (+ x 1.0) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) 1 (+ x 1.0) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) 1 2 1 (* (sqrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (fabs (cbrt (+ x 1.0))) (sqrt (+ x 1.0))) (pow (sqrt (sqrt (+ x 1.0))) 3) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (pow (sqrt (sqrt (+ x 1.0))) 3) (sqrt (+ x 1.0)) (pow (cbrt (sqrt (+ x 1.0))) 4) (* (sqrt (cbrt (+ x 1.0))) (sqrt (+ x 1.0))) (pow (sqrt (sqrt (+ x 1.0))) 3) (+ x 1.0) (+ x 1.0) (pow (sqrt (sqrt (+ x 1.0))) 3) (+ x 1.0) (* (sqrt (+ x 1.0)) (hypot (pow x 3/2) (pow 1.0 3/2))) (* (sqrt (+ x 1.0)) (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (+ x 1.0)) (hypot (pow x 3/2) (pow 1.0 3/2))) (* (sqrt (+ x 1.0)) (sqrt (- (* x x) (* 1.0 1.0)))) (expm1 (pow (sqrt (+ x 1.0)) 3)) (log1p (pow (sqrt (+ x 1.0)) 3)) (log (pow (sqrt (+ x 1.0)) 3)) (log (pow (sqrt (+ x 1.0)) 3)) 3/2 3 3/2 (pow (sqrt (+ x 1.0)) (* (cbrt 3) (cbrt 3))) (pow (sqrt (+ x 1.0)) (sqrt 3)) (sqrt (+ x 1.0)) (+ x 1.0) (sqrt (+ x 1.0)) (pow (fabs (cbrt (+ x 1.0))) 3) (pow (sqrt (cbrt (+ x 1.0))) 3) (pow (sqrt (sqrt (+ x 1.0))) 3) (pow (sqrt (sqrt (+ x 1.0))) 3) 1 (pow (sqrt (+ x 1.0)) 3) 1 (pow (sqrt (+ x 1.0)) 3) (pow (sqrt (sqrt (+ x 1.0))) 3) (pow (sqrt (sqrt (+ x 1.0))) 3) 1 (pow (sqrt (+ x 1.0)) 3) (+ x 1.0) (log (pow (sqrt (+ x 1.0)) 3)) (exp (pow (sqrt (+ x 1.0)) 3)) (+ x 1.0) (sqrt (+ x 1.0)) (pow (pow (sqrt (+ x 1.0)) 3) 3) (+ x 1.0) (sqrt (+ x 1.0)) (pow (fabs (cbrt (+ x 1.0))) 3) (pow (sqrt (cbrt (+ x 1.0))) 3) (pow (sqrt (sqrt (+ x 1.0))) 3) (pow (sqrt (sqrt (+ x 1.0))) 3) 1 (pow (sqrt (+ x 1.0)) 3) 1 (pow (sqrt (+ x 1.0)) 3) (pow (sqrt (sqrt (+ x 1.0))) 3) (pow (sqrt (sqrt (+ x 1.0))) 3) 1 (pow (sqrt (+ x 1.0)) 3) (pow (hypot (pow x 3/2) (pow 1.0 3/2)) 3) (pow (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) 3) (pow (sqrt (- (* x x) (* 1.0 1.0))) 3) (pow (sqrt (- x 1.0)) 3) (+ x 1.0) 3/2 (sqrt (pow (sqrt (+ x 1.0)) 3)) (sqrt (pow (sqrt (+ x 1.0)) 3)) (pow (sqrt (+ x 1.0)) 3/2) (pow (sqrt (+ x 1.0)) 3/2) (+ (+ (/ x (+ (sqrt 1.0) 1.0)) (* 1.125 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (* (/ 2.25 1.0) (/ (pow x 3) (pow (+ (sqrt 1.0) 1.0) 3))) (fma 1.5 (/ (pow x 3) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))) (* 1.5 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ 1.0 (- (fma 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3)) x) (fma 1.0 (sqrt 1.0) (* 0.5 (/ x (sqrt 1.0)))))) (- (- x +nan.0) (/ (- +nan.0) x)) (- (- x +nan.0) (/ (- +nan.0) x)) (+ x 1.0) (+ x 1.0) (+ x 1.0) (fma (* 3/2 x) (sqrt 1.0) (fma 3/8 (/ (pow x 2) (sqrt 1.0)) (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))) 1.077 * * * [progress]: adding candidates to table 1.520 * * [progress]: iteration 3 / 4 1.520 * * * [progress]: picking best candidate 1.522 * * * * [pick]: Picked # 1.522 * * * [progress]: localizing error 1.530 * * * [progress]: generating rewritten candidates 1.530 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.559 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.583 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.592 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 1.616 * * * [progress]: generating series expansions 1.616 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.617 * [approximate]: Taking taylor expansion of (* (+ (sqrt (+ x 1.0)) 1.0) (sqrt (/ 1 x))) in (x) around 0 1.617 * [taylor]: Taking taylor expansion of (* (+ (sqrt (+ x 1.0)) 1.0) (sqrt (/ 1 x))) in x 1.617 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.617 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.617 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.617 * [taylor]: Taking taylor expansion of x in x 1.617 * [taylor]: Taking taylor expansion of 1.0 in x 1.619 * [taylor]: Taking taylor expansion of 1.0 in x 1.619 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.619 * [taylor]: Taking taylor expansion of x in x 1.621 * [taylor]: Taking taylor expansion of (* (+ (sqrt (+ x 1.0)) 1.0) (sqrt (/ 1 x))) in x 1.621 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.621 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.621 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.621 * [taylor]: Taking taylor expansion of 1.0 in x 1.623 * [taylor]: Taking taylor expansion of 1.0 in x 1.623 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.700 * [approximate]: Taking taylor expansion of (* (sqrt x) (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in (x) around 0 1.701 * [taylor]: Taking taylor expansion of (* (sqrt x) (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.701 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.701 * [taylor]: Taking taylor expansion of x in x 1.702 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.702 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.702 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.702 * [taylor]: Taking taylor expansion of 1.0 in x 1.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.702 * [taylor]: Taking taylor expansion of x in x 1.703 * [taylor]: Taking taylor expansion of 1.0 in x 1.703 * [taylor]: Taking taylor expansion of (* (sqrt x) (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.703 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.703 * [taylor]: Taking taylor expansion of x in x 1.705 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.705 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.705 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.705 * [taylor]: Taking taylor expansion of 1.0 in x 1.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.705 * [taylor]: Taking taylor expansion of x in x 1.706 * [taylor]: Taking taylor expansion of 1.0 in x 1.734 * [approximate]: Taking taylor expansion of (/ (+ (sqrt (- 1.0 (/ 1 x))) 1.0) (sqrt (/ -1 x))) in (x) around 0 1.734 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (- 1.0 (/ 1 x))) 1.0) (sqrt (/ -1 x))) in x 1.734 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.734 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.734 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.734 * [taylor]: Taking taylor expansion of 1.0 in x 1.734 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.734 * [taylor]: Taking taylor expansion of x in x 1.736 * [taylor]: Taking taylor expansion of 1.0 in x 1.736 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.736 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.736 * [taylor]: Taking taylor expansion of -1 in x 1.736 * [taylor]: Taking taylor expansion of x in x 1.738 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (- 1.0 (/ 1 x))) 1.0) (sqrt (/ -1 x))) in x 1.739 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.739 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.739 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.739 * [taylor]: Taking taylor expansion of 1.0 in x 1.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.739 * [taylor]: Taking taylor expansion of x in x 1.740 * [taylor]: Taking taylor expansion of 1.0 in x 1.740 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.740 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.740 * [taylor]: Taking taylor expansion of -1 in x 1.740 * [taylor]: Taking taylor expansion of x in x 1.759 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.760 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 1.760 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 1.760 * [taylor]: Taking taylor expansion of x in x 1.760 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) 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 1.761 * [taylor]: Taking taylor expansion of 1.0 in x 1.763 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 1.763 * [taylor]: Taking taylor expansion of x in x 1.763 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.763 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.763 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.763 * [taylor]: Taking taylor expansion of x in x 1.763 * [taylor]: Taking taylor expansion of 1.0 in x 1.765 * [taylor]: Taking taylor expansion of 1.0 in x 1.826 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 1.826 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 1.826 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.826 * [taylor]: Taking taylor expansion of x in x 1.826 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.826 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.826 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.826 * [taylor]: Taking taylor expansion of 1.0 in x 1.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.826 * [taylor]: Taking taylor expansion of x in x 1.828 * [taylor]: Taking taylor expansion of 1.0 in x 1.834 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 1.834 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.834 * [taylor]: Taking taylor expansion of x in x 1.834 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.834 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.834 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.834 * [taylor]: Taking taylor expansion of 1.0 in x 1.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.834 * [taylor]: Taking taylor expansion of x in x 1.836 * [taylor]: Taking taylor expansion of 1.0 in x 1.866 * [approximate]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 1.866 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.866 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 1.866 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.866 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.866 * [taylor]: Taking taylor expansion of -1 in x 1.866 * [taylor]: Taking taylor expansion of x in x 1.867 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.867 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.867 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.867 * [taylor]: Taking taylor expansion of 1.0 in x 1.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.867 * [taylor]: Taking taylor expansion of x in x 1.869 * [taylor]: Taking taylor expansion of 1.0 in x 1.870 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.870 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 1.870 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.870 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.870 * [taylor]: Taking taylor expansion of -1 in x 1.870 * [taylor]: Taking taylor expansion of x in x 1.872 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.872 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.872 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.872 * [taylor]: Taking taylor expansion of 1.0 in x 1.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.872 * [taylor]: Taking taylor expansion of x in x 1.873 * [taylor]: Taking taylor expansion of 1.0 in x 1.895 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.895 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 1.896 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.896 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.896 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.896 * [taylor]: Taking taylor expansion of x in x 1.896 * [taylor]: Taking taylor expansion of 1.0 in x 1.898 * [taylor]: Taking taylor expansion of 1.0 in x 1.898 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.898 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.898 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.898 * [taylor]: Taking taylor expansion of x in x 1.898 * [taylor]: Taking taylor expansion of 1.0 in x 1.899 * [taylor]: Taking taylor expansion of 1.0 in x 1.913 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 1.913 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.913 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.913 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.913 * [taylor]: Taking taylor expansion of 1.0 in x 1.913 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.913 * [taylor]: Taking taylor expansion of x in x 1.915 * [taylor]: Taking taylor expansion of 1.0 in x 1.915 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.915 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.915 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.915 * [taylor]: Taking taylor expansion of 1.0 in x 1.915 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.915 * [taylor]: Taking taylor expansion of x in x 1.916 * [taylor]: Taking taylor expansion of 1.0 in x 1.925 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 1.925 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.925 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.925 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.925 * [taylor]: Taking taylor expansion of 1.0 in x 1.925 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.925 * [taylor]: Taking taylor expansion of x in x 1.926 * [taylor]: Taking taylor expansion of 1.0 in x 1.926 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.926 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.926 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.927 * [taylor]: Taking taylor expansion of 1.0 in x 1.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.927 * [taylor]: Taking taylor expansion of x in x 1.928 * [taylor]: Taking taylor expansion of 1.0 in x 1.937 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.937 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 1.937 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.937 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.937 * [taylor]: Taking taylor expansion of x in x 1.937 * [taylor]: Taking taylor expansion of 1.0 in x 1.939 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.939 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.939 * [taylor]: Taking taylor expansion of x in x 1.939 * [taylor]: Taking taylor expansion of 1.0 in x 1.954 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 1.954 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.954 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.954 * [taylor]: Taking taylor expansion of 1.0 in x 1.954 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.954 * [taylor]: Taking taylor expansion of x in x 1.956 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.956 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.956 * [taylor]: Taking taylor expansion of 1.0 in x 1.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.956 * [taylor]: Taking taylor expansion of x in x 1.963 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.963 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.963 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.963 * [taylor]: Taking taylor expansion of 1.0 in x 1.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.963 * [taylor]: Taking taylor expansion of x in x 1.965 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.965 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.965 * [taylor]: Taking taylor expansion of 1.0 in x 1.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.965 * [taylor]: Taking taylor expansion of x in x 1.973 * * * [progress]: simplifying candidates 1.978 * [simplify]: Simplifying using # : (expm1 (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (log1p (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (- (log (+ 1.0 (sqrt (+ x 1.0)))) (log (sqrt x))) (log (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (exp (/ (+ 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) (sqrt x)) (sqrt x))) (* (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (* (* (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (- (+ 1.0 (sqrt (+ x 1.0)))) (- (sqrt x)) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (sqrt x))) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (* (cbrt x) (cbrt x)))) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (cbrt x))) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (sqrt x))) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (sqrt x))) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt 1)) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x)) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (sqrt x))) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (sqrt x))) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (sqrt x))) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (* (cbrt x) (cbrt x)))) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (cbrt x))) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (sqrt x))) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (sqrt x))) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt 1)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (sqrt x))) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (sqrt x))) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x)) (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt (sqrt x))) (/ 1 (sqrt (* (cbrt x) (cbrt x)))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt (cbrt x))) (/ 1 (sqrt (sqrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ 1 (sqrt (sqrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt (sqrt x))) (/ 1 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt (sqrt x))) (/ 1 (sqrt (* (cbrt x) (cbrt x)))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt (cbrt x))) (/ 1 (sqrt (sqrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ 1 (sqrt (sqrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt (sqrt x))) (/ 1 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ 1 (sqrt x)) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt (* (cbrt x) (cbrt x)))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt (sqrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt 1)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt (sqrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) 1) (/ (sqrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (* (sqrt x) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (- 1.0 (sqrt (+ x 1.0)))) (expm1 (/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))) (log1p (/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))) (- (log (sqrt x)) (- (log (+ 1.0 (sqrt (+ x 1.0)))) (log (sqrt x)))) (- (log (sqrt x)) (log (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))) (log (/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))) (exp (/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))) (/ (* (* (sqrt x) (sqrt x)) (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)))) (/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))) (* (cbrt (/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))) (cbrt (/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))))) (cbrt (/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))) (* (* (/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))) (/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))) (sqrt (/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))) (sqrt (/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))) (- (sqrt x)) (- (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))))) (/ (cbrt (sqrt x)) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))) (/ (cbrt (sqrt x)) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (/ (cbrt (sqrt x)) (/ (cbrt (+ 1.0 (sqrt 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(sqrt x))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (/ (cbrt (sqrt x)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (sqrt x)))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (* (cbrt x) (cbrt x))))) (/ (cbrt (sqrt x)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (cbrt x)))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (sqrt x)))) (/ (cbrt (sqrt x)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (sqrt x)))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt 1))) (/ (cbrt (sqrt x)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (sqrt x)))) (/ (cbrt (sqrt x)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (sqrt x)))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) 1)) (/ (cbrt (sqrt x)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (/ (cbrt (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt (sqrt x)))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (/ 1 (sqrt (* (cbrt x) (cbrt x))))) (/ (cbrt (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt (cbrt x)))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (/ 1 (sqrt (sqrt x)))) (/ (cbrt (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt (sqrt x)))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (/ 1 (sqrt 1))) (/ (cbrt (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (/ 1 (sqrt (sqrt x)))) (/ (cbrt (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt (sqrt x)))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (/ 1 1)) (/ (cbrt (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (/ (cbrt (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt (sqrt x)))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (/ 1 (sqrt (* (cbrt x) (cbrt x))))) (/ (cbrt (sqrt x)) (/ (+ 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1.0)) 1.0) (* 1/8 (/ (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) (* 1/8 (/ (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))) 2.089 * * * [progress]: adding candidates to table 2.539 * [progress]: [Phase 3 of 3] Extracting. 2.539 * * [regime]: Finding splitpoints for: (# # #) 2.539 * * * [regime-changes]: Trying 2 branch expressions: ((/ x (+ 1.0 (sqrt (+ x 1.0)))) x) 2.539 * * * * [regimes]: Trying to branch on (/ x (+ 1.0 (sqrt (+ x 1.0)))) from (# # #) 2.556 * * * * [regimes]: Trying to branch on x from (# # #) 2.572 * * * [regime]: Found split indices: #