29.677 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (/ x (+ 1.0 (sqrt (+ x 1.0)))) 0.018 * * [simplify]: iteration 0 : 8 enodes (cost 4 ) 0.019 * * [simplify]: iteration 1 : 8 enodes (cost 4 ) 0.020 * [simplify]: Simplified to: (/ x (+ 1.0 (sqrt (+ x 1.0)))) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.034 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.040 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.045 * * * [progress]: generating series expansions 0.045 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.045 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.045 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.045 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.048 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.048 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of 1.0 in x 0.050 * [taylor]: Taking taylor expansion of 1.0 in x 0.109 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.109 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.109 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.109 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.109 * [taylor]: Taking taylor expansion of 1.0 in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.117 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.117 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.117 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.142 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.143 * [taylor]: Taking taylor expansion of -1 in x 0.143 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.143 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.143 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.151 * [taylor]: Taking taylor expansion of -1 in x 0.151 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.151 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.151 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.181 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.181 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 0.181 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.181 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.181 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.183 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.183 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.185 * [taylor]: Taking taylor expansion of 1.0 in x 0.198 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 0.198 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.198 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.198 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.198 * [taylor]: Taking taylor expansion of 1.0 in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of 1.0 in x 0.199 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.199 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.199 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.199 * [taylor]: Taking taylor expansion of 1.0 in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.209 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 0.209 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.209 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.209 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.209 * [taylor]: Taking taylor expansion of 1.0 in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of 1.0 in x 0.211 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.211 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.211 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.211 * [taylor]: Taking taylor expansion of 1.0 in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of 1.0 in x 0.221 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.221 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.221 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.221 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of 1.0 in x 0.222 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.222 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of 1.0 in x 0.231 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.231 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.231 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.231 * [taylor]: Taking taylor expansion of 1.0 in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.233 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.233 * [taylor]: Taking taylor expansion of 1.0 in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.240 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.240 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.240 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.240 * [taylor]: Taking taylor expansion of 1.0 in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.242 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of 1.0 in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.249 * * * [progress]: simplifying candidates 0.253 * [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 (+ 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))) (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))) (- (+ (/ 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))) 1.0)) (* 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)))) (* 1/8 (/ (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))))) 0.258 * * [simplify]: iteration 0 : 334 enodes (cost 508 ) 0.264 * * [simplify]: iteration 1 : 1222 enodes (cost 457 ) 0.286 * * [simplify]: iteration 2 : 5002 enodes (cost 445 ) 0.288 * [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 (+ 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))) (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))) (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)) (+ (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))))) (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))))) 0.288 * * * [progress]: adding candidates to table 0.436 * * [progress]: iteration 2 / 4 0.436 * * * [progress]: picking best candidate 0.438 * * * * [pick]: Picked # 0.438 * * * [progress]: localizing error 0.445 * * * [progress]: generating rewritten candidates 0.445 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.463 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.471 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.477 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 0.485 * * * [progress]: generating series expansions 0.485 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.485 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.485 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.485 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.485 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.489 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.489 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.491 * [taylor]: Taking taylor expansion of 1.0 in x 0.551 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.551 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.551 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.551 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.551 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.551 * [taylor]: Taking taylor expansion of 1.0 in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.559 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.559 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.559 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [approximate]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 0.584 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.584 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 0.584 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.584 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.584 * [taylor]: Taking taylor expansion of -1 in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.586 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.586 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.586 * [taylor]: Taking taylor expansion of 1.0 in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of 1.0 in x 0.592 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.592 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 0.592 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.592 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.592 * [taylor]: Taking taylor expansion of -1 in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.593 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.593 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.593 * [taylor]: Taking taylor expansion of 1.0 in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.616 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in (x) around 0 0.616 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 0.616 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.616 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.616 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.619 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 0.621 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.621 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.621 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of 1.0 in x 0.622 * [taylor]: Taking taylor expansion of 1.0 in x 0.624 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.823 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.823 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.823 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.825 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.825 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.825 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.825 * [taylor]: Taking taylor expansion of 1.0 in x 0.825 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of 1.0 in x 0.827 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.827 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.828 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.828 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.828 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.828 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.828 * [taylor]: Taking taylor expansion of 1.0 in x 0.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.828 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of 1.0 in x 0.861 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 0.861 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.861 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.861 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.861 * [taylor]: Taking taylor expansion of -1 in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.862 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 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 0.864 * [taylor]: Taking taylor expansion of 1.0 in x 0.865 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.865 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.865 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.865 * [taylor]: Taking taylor expansion of -1 in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.866 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.866 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.866 * [taylor]: Taking taylor expansion of 1.0 in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of 1.0 in x 0.892 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 0.892 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 0.892 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.892 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.892 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of 1.0 in x 0.894 * [taylor]: Taking taylor expansion of 1.0 in x 0.894 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.894 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.894 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of 1.0 in x 0.895 * [taylor]: Taking taylor expansion of 1.0 in x 0.908 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 0.909 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.909 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.909 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.909 * [taylor]: Taking taylor expansion of 1.0 in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of 1.0 in x 0.910 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) 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 0.912 * [taylor]: Taking taylor expansion of 1.0 in x 0.919 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 0.919 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.919 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.919 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.919 * [taylor]: Taking taylor expansion of 1.0 in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of 1.0 in x 0.921 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.921 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.921 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.921 * [taylor]: Taking taylor expansion of 1.0 in x 0.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of 1.0 in x 0.931 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 0.931 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.931 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.931 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of 1.0 in x 0.933 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.933 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of 1.0 in x 0.941 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.941 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.941 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.941 * [taylor]: Taking taylor expansion of 1.0 in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.943 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.943 * [taylor]: Taking taylor expansion of 1.0 in x 0.943 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.950 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.950 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.950 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.950 * [taylor]: Taking taylor expansion of 1.0 in x 0.950 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.952 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.952 * [taylor]: Taking taylor expansion of 1.0 in x 0.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.959 * * * [progress]: simplifying candidates 0.961 * [simplify]: Simplifying using # : (expm1 (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (log1p (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (+ (log (sqrt x)) (- (log (sqrt x)) (log (+ 1.0 (sqrt (+ x 1.0)))))) (+ (log (sqrt x)) (log (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (log (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (exp (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* (sqrt x) (sqrt x)) (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) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (cbrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))))) (cbrt (* (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 x) (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (* (cbrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (sqrt (/ (sqrt x) (+ 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))))))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1)) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1)) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) 1)) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ (sqrt 1) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt 1) 1)) (* (sqrt x) (/ (sqrt 1) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ 1 1)) (* (sqrt x) (/ 1 1)) (* (sqrt x) 1) (* (sqrt x) (sqrt x)) (* (sqrt x) (/ (sqrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (* (sqrt x) (/ (sqrt x) (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))))) (* (cbrt (sqrt x)) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt (cbrt x)) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt (sqrt x)) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt (sqrt x)) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (sqrt x)) (expm1 (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (log1p (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (- (log (sqrt x)) (log (+ 1.0 (sqrt (+ x 1.0))))) (log (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ (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))))) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (- (sqrt x)) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt (sqrt x)) (cbrt (+ 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))))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1) (/ (cbrt (sqrt x)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1) (/ (cbrt (sqrt x)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt (cbrt x)) (cbrt (+ 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 (* (cbrt x) (cbrt x))) 1) (/ (sqrt (cbrt x)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt (* (cbrt x) (cbrt x))) 1) (/ (sqrt (cbrt x)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt (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)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (sqrt x)) 1) (/ (sqrt (sqrt x)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt (sqrt x)) 1) (/ (sqrt (sqrt x)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt 1) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (cbrt (+ 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 1) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt 1) 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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))) (- (+ (/ 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 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ (pow x 2) (+ (sqrt 1.0) 1.0))) (- (+ (* +nan.0 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (+ (* +nan.0 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (+ (* +nan.0 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))) (- (+ (* +nan.0 (/ x (+ (sqrt 1.0) 1.0))) (- (+ (* +nan.0 (/ (pow x 3) (+ (sqrt 1.0) 1.0))) (- (* +nan.0 (/ (pow x 3) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))))))))))))))) (- (+ (* +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))))) (- (+ (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))))) 0.969 * * [simplify]: iteration 0 : 554 enodes (cost 1324 ) 0.978 * * [simplify]: iteration 1 : 2324 enodes (cost 1174 ) 1.016 * * [simplify]: iteration 2 : 5001 enodes (cost 1140 ) 1.026 * [simplify]: Simplified to: (expm1 (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (log1p (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (pow (exp 1) (/ x (+ 1.0 (sqrt (+ x 1.0))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (* (cbrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))))) (cbrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (sqrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 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[progress]: [Phase 3 of 3] Extracting. 1.315 * * [regime]: Finding splitpoints for: (# #) 1.315 * * * [regime-changes]: Trying 2 branch expressions: ((/ x (+ 1.0 (sqrt (+ x 1.0)))) x) 1.315 * * * * [regimes]: Trying to branch on (/ x (+ 1.0 (sqrt (+ x 1.0)))) from (# #) 1.328 * * * * [regimes]: Trying to branch on x from (# #) 1.338 * * * [regime]: Found split indices: #