15.188 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ x (+ 1.0 (sqrt (+ x 1.0)))) 0.016 * * [simplify]: iteration 0 : 8 enodes (cost 4 ) 0.018 * * [simplify]: iteration 1 : 8 enodes (cost 4 ) 0.018 * [simplify]: Simplified to: (/ x (+ 1.0 (sqrt (+ x 1.0)))) 0.018 * * [progress]: iteration 1 / 4 0.018 * * * [progress]: picking best candidate 0.019 * * * * [pick]: Picked # 0.019 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.031 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.035 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.042 * * * [progress]: generating series expansions 0.043 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.043 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.043 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.043 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.043 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.047 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.113 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.113 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.113 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.113 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of 1.0 in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.122 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.122 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.122 * [taylor]: Taking taylor expansion of 1.0 in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.150 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.150 * [taylor]: Taking taylor expansion of -1 in x 0.150 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.150 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.150 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.159 * [taylor]: Taking taylor expansion of -1 in x 0.159 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.159 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.159 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.192 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.192 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.192 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.192 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.194 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.194 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of 1.0 in x 0.204 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.204 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.204 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.204 * [taylor]: Taking taylor expansion of 1.0 in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.206 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.206 * [taylor]: Taking taylor expansion of 1.0 in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.213 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.213 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.213 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of 1.0 in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.215 * [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 0.223 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.224 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 0.224 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.224 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.224 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.226 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.226 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.228 * [taylor]: Taking taylor expansion of 1.0 in x 0.245 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 0.245 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.245 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.245 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.245 * [taylor]: Taking taylor expansion of 1.0 in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.247 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.247 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 0.257 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.257 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.257 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.257 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of 1.0 in x 0.259 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.259 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.259 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.259 * [taylor]: Taking taylor expansion of 1.0 in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of 1.0 in x 0.270 * * * [progress]: simplifying candidates 0.271 * [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))))) 0.276 * * [simplify]: iteration 0 : 331 enodes (cost 509 ) 0.283 * * [simplify]: iteration 1 : 1196 enodes (cost 457 ) 0.305 * * [simplify]: iteration 2 : 5002 enodes (cost 445 ) 0.308 * [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))))) 0.309 * * * [progress]: adding candidates to table 0.426 * * [progress]: iteration 2 / 4 0.426 * * * [progress]: picking best candidate 0.432 * * * * [pick]: Picked # 0.432 * * * [progress]: localizing error 0.441 * * * [progress]: generating rewritten candidates 0.441 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.449 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.484 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.496 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 0.523 * * * [progress]: generating series expansions 0.523 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.523 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) in (x) around 0 0.523 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 0.523 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.523 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.523 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of 1.0 in x 0.525 * [taylor]: Taking taylor expansion of 1.0 in x 0.542 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 0.542 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.542 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.542 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.655 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.655 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.655 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.655 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.655 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.655 * [taylor]: Taking taylor expansion of 1.0 in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of 1.0 in x 0.664 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.664 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.664 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.664 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.664 * [taylor]: Taking taylor expansion of 1.0 in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of 1.0 in x 0.694 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.695 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.695 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.695 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.695 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.695 * [taylor]: Taking taylor expansion of 1.0 in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of 1.0 in x 0.704 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.704 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.704 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.704 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.704 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.704 * [taylor]: Taking taylor expansion of 1.0 in x 0.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of 1.0 in x 0.738 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.738 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.738 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.738 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.738 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of 1.0 in x 0.740 * [taylor]: Taking taylor expansion of 1.0 in x 0.742 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.742 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.742 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of 1.0 in x 0.744 * [taylor]: Taking taylor expansion of 1.0 in x 0.806 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.806 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.806 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.806 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.806 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.806 * [taylor]: Taking taylor expansion of 1.0 in x 0.806 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.808 * [taylor]: Taking taylor expansion of 1.0 in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.815 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.815 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.815 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.815 * [taylor]: Taking taylor expansion of 1.0 in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of 1.0 in x 0.843 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.843 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.843 * [taylor]: Taking taylor expansion of -1 in x 0.843 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.844 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.844 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.844 * [taylor]: Taking taylor expansion of 1.0 in x 0.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of 1.0 in x 0.853 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.853 * [taylor]: Taking taylor expansion of -1 in x 0.853 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.853 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.853 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.853 * [taylor]: Taking taylor expansion of 1.0 in x 0.853 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of 1.0 in x 0.885 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.885 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) x) in (x) around 0 0.886 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) x) in x 0.886 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) in x 0.886 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 0.886 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.886 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.886 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) x) in x 0.904 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 0.904 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.904 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.904 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of 1.0 in x 0.906 * [taylor]: Taking taylor expansion of 1.0 in x 0.922 * [taylor]: Taking taylor expansion of x in x 1.192 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)))) in (x) around 0 1.192 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)))) in x 1.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.192 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 1.192 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.193 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.193 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.193 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.193 * [taylor]: Taking taylor expansion of 1.0 in x 1.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.193 * [taylor]: Taking taylor expansion of x in x 1.194 * [taylor]: Taking taylor expansion of 1.0 in x 1.202 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)))) in x 1.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.202 * [taylor]: Taking taylor expansion of x in x 1.202 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 1.202 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.202 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.202 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.202 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.202 * [taylor]: Taking taylor expansion of 1.0 in x 1.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.202 * [taylor]: Taking taylor expansion of x in x 1.204 * [taylor]: Taking taylor expansion of 1.0 in x 1.247 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))))) in (x) around 0 1.247 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))))) in x 1.247 * [taylor]: Taking taylor expansion of -1 in x 1.247 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)))) in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.247 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.247 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.247 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.247 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.247 * [taylor]: Taking taylor expansion of 1.0 in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.249 * [taylor]: Taking taylor expansion of 1.0 in x 1.262 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))))) in x 1.262 * [taylor]: Taking taylor expansion of -1 in x 1.262 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)))) in x 1.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.263 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.263 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.263 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.263 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.263 * [taylor]: Taking taylor expansion of 1.0 in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.264 * [taylor]: Taking taylor expansion of 1.0 in x 1.319 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.319 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 1.319 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) 1.0)) in x 1.319 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.319 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.319 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.319 * [taylor]: Taking taylor expansion of 1.0 in x 1.321 * [taylor]: Taking taylor expansion of 1.0 in x 1.327 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) 1.0)) in x 1.327 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.327 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.327 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.327 * [taylor]: Taking taylor expansion of x in x 1.327 * [taylor]: Taking taylor expansion of 1.0 in x 1.329 * [taylor]: Taking taylor expansion of 1.0 in x 1.387 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in (x) around 0 1.387 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.387 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.388 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.388 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.388 * [taylor]: Taking taylor expansion of 1.0 in x 1.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.388 * [taylor]: Taking taylor expansion of x in x 1.389 * [taylor]: Taking taylor expansion of 1.0 in x 1.395 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.395 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.395 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.395 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.395 * [taylor]: Taking taylor expansion of 1.0 in x 1.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.395 * [taylor]: Taking taylor expansion of x in x 1.397 * [taylor]: Taking taylor expansion of 1.0 in x 1.426 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 1.426 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.426 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.426 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.426 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.426 * [taylor]: Taking taylor expansion of 1.0 in x 1.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.428 * [taylor]: Taking taylor expansion of 1.0 in x 1.434 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.434 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.434 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.434 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.434 * [taylor]: Taking taylor expansion of 1.0 in x 1.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.436 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * * * [progress]: simplifying candidates 1.467 * [simplify]: Simplifying using # : (expm1 (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (log1p (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (- 1/2) (- 1) (- (/ 1 2)) (- (log (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (- 0 (log (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (- (log 1) (log (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (log (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (exp (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* (* 1 1) 1) (* (* (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (cbrt (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (cbrt (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (- 1) (- (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (/ (cbrt 1) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (/ (cbrt 1) (sqrt (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt 1) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt 1) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) (* (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (/ (sqrt 1) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt 1) (sqrt (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (/ (sqrt 1) (sqrt (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (* (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (/ 1 (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (sqrt (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (/ 1 (sqrt (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (sqrt 1)) (/ 1 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1.0)))))) (exp (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (pow (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 3) (* (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (pow (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 3) (sqrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (- x) (- (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (/ (cbrt x) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* (cbrt x) (cbrt x)) (fabs (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt x) (sqrt (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt x) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ 1.0 (sqrt (+ x 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1.0)))))) (/ 1 (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) 1 (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) 1 (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) x) (/ x (* (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (/ x (fabs (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) x x (/ x (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) x (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) x) (/ x (hypot (pow (sqrt (+ x 1.0)) 3/2) (pow 1.0 3/2))) (/ x (sqrt (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))))) (expm1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (log1p (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (log (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (exp (sqrt (+ 1.0 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3))))))) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (+ (+ (/ 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 1.0) (/ (pow x 3) (pow (+ (sqrt 1.0) 1.0) 3))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))))) (+ (- +nan.0) (fma +nan.0 x (- (* +nan.0 (/ 1 x))))) (+ (- +nan.0) (fma +nan.0 x (- (* +nan.0 (/ 1 x))))) (fma (* 1/16 (/ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (/ 1 (pow (+ (sqrt 1.0) 1.0) 3))) (- (fma 3/32 (* (/ (pow x 3) (pow (sqrt 1.0) 2)) (sqrt (/ 1 (pow (+ (sqrt 1.0) 1.0) 5)))) (* x (sqrt (/ 1 (+ (sqrt 1.0) 1.0))))) (* 1/4 (* (/ (pow x 2) (sqrt 1.0)) (sqrt (/ 1 (pow (+ (sqrt 1.0) 1.0) 3))))))) (+ (- (* (sqrt +nan.0) x) (* +nan.0 (/ 1 (sqrt +nan.0)))) (* +nan.0 (- (/ 1 (* (sqrt +nan.0) x)) (/ 1 (* (pow (sqrt +nan.0) 3) x))))) (+ (- (* (sqrt +nan.0) x) (* +nan.0 (/ 1 (sqrt +nan.0)))) (* +nan.0 (- (/ 1 (* (sqrt +nan.0) x)) (/ 1 (* (pow (sqrt +nan.0) 3) x))))) (+ (sqrt (+ (sqrt 1.0) 1.0)) (- (* 1/4 (* (/ x (sqrt 1.0)) (sqrt (/ 1 (+ (sqrt 1.0) 1.0))))) (fma 1/32 (* (/ (pow x 2) (pow (sqrt 1.0) 2)) (sqrt (/ 1 (pow (+ (sqrt 1.0) 1.0) 3)))) (* 1/16 (* (/ (pow x 2) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (sqrt 1.0) 1.0)))))))) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) 1.549 * * * [progress]: adding candidates to table 1.970 * * [progress]: iteration 3 / 4 1.970 * * * [progress]: picking best candidate 1.974 * * * * [pick]: Picked # 1.974 * * * [progress]: localizing error 1.986 * * * [progress]: generating rewritten candidates 1.987 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.995 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.004 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.014 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.033 * * * [progress]: generating series expansions 2.033 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 2.034 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) in (x) around 0 2.034 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) in x 2.034 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 2.034 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 2.034 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.034 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.034 * [taylor]: Taking taylor expansion of x in x 2.034 * [taylor]: Taking taylor expansion of 1.0 in x 2.036 * [taylor]: Taking taylor expansion of 1.0 in x 2.058 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) in x 2.058 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 2.058 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 2.058 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.058 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.058 * [taylor]: Taking taylor expansion of x in x 2.058 * [taylor]: Taking taylor expansion of 1.0 in x 2.060 * [taylor]: Taking taylor expansion of 1.0 in x 2.168 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 2.168 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 2.168 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 2.168 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 2.168 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.168 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.168 * [taylor]: Taking taylor expansion of 1.0 in x 2.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.168 * [taylor]: Taking taylor expansion of x in x 2.170 * [taylor]: Taking taylor expansion of 1.0 in x 2.178 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 2.178 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 2.178 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 2.178 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.178 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.178 * [taylor]: Taking taylor expansion of 1.0 in x 2.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.178 * [taylor]: Taking taylor expansion of x in x 2.179 * [taylor]: Taking taylor expansion of 1.0 in x 2.215 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 2.215 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 2.215 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 2.215 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 2.215 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.215 * [taylor]: Taking taylor expansion of 1.0 in x 2.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.215 * [taylor]: Taking taylor expansion of x in x 2.217 * [taylor]: Taking taylor expansion of 1.0 in x 2.225 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 2.225 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 2.225 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 2.225 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.225 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.225 * [taylor]: Taking taylor expansion of 1.0 in x 2.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.225 * [taylor]: Taking taylor expansion of x in x 2.227 * [taylor]: Taking taylor expansion of 1.0 in x 2.256 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.256 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) in (x) around 0 2.256 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) in x 2.257 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 2.257 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 2.257 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.257 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.257 * [taylor]: Taking taylor expansion of x in x 2.257 * [taylor]: Taking taylor expansion of 1.0 in x 2.258 * [taylor]: Taking taylor expansion of 1.0 in x 2.275 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) in x 2.275 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 2.275 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 2.275 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.275 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.275 * [taylor]: Taking taylor expansion of x in x 2.275 * [taylor]: Taking taylor expansion of 1.0 in x 2.277 * [taylor]: Taking taylor expansion of 1.0 in x 2.389 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 2.389 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 2.389 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 2.389 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 2.389 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.389 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.389 * [taylor]: Taking taylor expansion of 1.0 in x 2.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.389 * [taylor]: Taking taylor expansion of x in x 2.391 * [taylor]: Taking taylor expansion of 1.0 in x 2.399 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 2.399 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 2.399 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 2.399 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.399 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.399 * [taylor]: Taking taylor expansion of 1.0 in x 2.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.399 * [taylor]: Taking taylor expansion of x in x 2.401 * [taylor]: Taking taylor expansion of 1.0 in x 2.429 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 2.429 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 2.429 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 2.429 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 2.429 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.429 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.429 * [taylor]: Taking taylor expansion of 1.0 in x 2.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.429 * [taylor]: Taking taylor expansion of x in x 2.431 * [taylor]: Taking taylor expansion of 1.0 in x 2.439 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 2.439 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 2.439 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 2.439 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.439 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.439 * [taylor]: Taking taylor expansion of 1.0 in x 2.439 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.439 * [taylor]: Taking taylor expansion of x in x 2.446 * [taylor]: Taking taylor expansion of 1.0 in x 2.475 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.475 * [approximate]: Taking taylor expansion of (pow (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) 1/4) in (x) around 0 2.476 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) 1/4) in x 2.476 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (sqrt (+ x 1.0)) 1.0))))) in x 2.476 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (sqrt (+ x 1.0)) 1.0)))) in x 2.476 * [taylor]: Taking taylor expansion of 1/4 in x 2.476 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) in x 2.476 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 2.476 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 2.476 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.476 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.476 * [taylor]: Taking taylor expansion of x in x 2.476 * [taylor]: Taking taylor expansion of 1.0 in x 2.478 * [taylor]: Taking taylor expansion of 1.0 in x 2.485 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) 1/4) in x 2.485 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (sqrt (+ x 1.0)) 1.0))))) in x 2.485 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (sqrt (+ x 1.0)) 1.0)))) in x 2.485 * [taylor]: Taking taylor expansion of 1/4 in x 2.485 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) in x 2.485 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 2.485 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 2.485 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.485 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.485 * [taylor]: Taking taylor expansion of x in x 2.485 * [taylor]: Taking taylor expansion of 1.0 in x 2.487 * [taylor]: Taking taylor expansion of 1.0 in x 2.735 * [approximate]: Taking taylor expansion of (pow (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) 1/4) in (x) around 0 2.735 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) 1/4) in x 2.736 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))))) in x 2.736 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)))) in x 2.736 * [taylor]: Taking taylor expansion of 1/4 in x 2.736 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 2.736 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 2.736 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 2.736 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.736 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.736 * [taylor]: Taking taylor expansion of 1.0 in x 2.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.736 * [taylor]: Taking taylor expansion of x in x 2.737 * [taylor]: Taking taylor expansion of 1.0 in x 2.740 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) 1/4) in x 2.740 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))))) in x 2.741 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)))) in x 2.741 * [taylor]: Taking taylor expansion of 1/4 in x 2.741 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 2.741 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 2.741 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 2.741 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.741 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.741 * [taylor]: Taking taylor expansion of 1.0 in x 2.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.741 * [taylor]: Taking taylor expansion of x in x 2.742 * [taylor]: Taking taylor expansion of 1.0 in x 2.794 * [approximate]: Taking taylor expansion of (pow (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) 1/4) in (x) around 0 2.794 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) 1/4) in x 2.795 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))))) in x 2.795 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)))) in x 2.795 * [taylor]: Taking taylor expansion of 1/4 in x 2.795 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 2.795 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 2.795 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 2.795 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.795 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.795 * [taylor]: Taking taylor expansion of 1.0 in x 2.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.795 * [taylor]: Taking taylor expansion of x in x 2.797 * [taylor]: Taking taylor expansion of 1.0 in x 2.800 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) 1/4) in x 2.800 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))))) in x 2.800 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)))) in x 2.800 * [taylor]: Taking taylor expansion of 1/4 in x 2.800 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 2.800 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 2.800 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 2.800 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.800 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.800 * [taylor]: Taking taylor expansion of 1.0 in x 2.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.800 * [taylor]: Taking taylor expansion of x in x 2.802 * [taylor]: Taking taylor expansion of 1.0 in x 2.853 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.853 * [approximate]: Taking taylor expansion of (pow (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) 1/4) in (x) around 0 2.853 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) 1/4) in x 2.853 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (sqrt (+ x 1.0)) 1.0))))) in x 2.853 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (sqrt (+ x 1.0)) 1.0)))) in x 2.853 * [taylor]: Taking taylor expansion of 1/4 in x 2.853 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) in x 2.853 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 2.853 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 2.853 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.853 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.853 * [taylor]: Taking taylor expansion of x in x 2.853 * [taylor]: Taking taylor expansion of 1.0 in x 2.856 * [taylor]: Taking taylor expansion of 1.0 in x 2.863 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) 1/4) in x 2.863 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (sqrt (+ x 1.0)) 1.0))))) in x 2.863 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (sqrt (+ x 1.0)) 1.0)))) in x 2.863 * [taylor]: Taking taylor expansion of 1/4 in x 2.863 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) in x 2.863 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 2.863 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 2.863 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.863 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.863 * [taylor]: Taking taylor expansion of x in x 2.863 * [taylor]: Taking taylor expansion of 1.0 in x 2.865 * [taylor]: Taking taylor expansion of 1.0 in x 3.113 * [approximate]: Taking taylor expansion of (pow (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) 1/4) in (x) around 0 3.113 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) 1/4) in x 3.113 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))))) in x 3.113 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)))) in x 3.113 * [taylor]: Taking taylor expansion of 1/4 in x 3.113 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 3.113 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 3.113 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 3.113 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.113 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.113 * [taylor]: Taking taylor expansion of 1.0 in x 3.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.113 * [taylor]: Taking taylor expansion of x in x 3.115 * [taylor]: Taking taylor expansion of 1.0 in x 3.118 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) 1/4) in x 3.118 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))))) in x 3.118 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)))) in x 3.118 * [taylor]: Taking taylor expansion of 1/4 in x 3.118 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 3.118 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 3.118 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 3.118 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.118 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.118 * [taylor]: Taking taylor expansion of 1.0 in x 3.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.118 * [taylor]: Taking taylor expansion of x in x 3.119 * [taylor]: Taking taylor expansion of 1.0 in x 3.169 * [approximate]: Taking taylor expansion of (pow (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) 1/4) in (x) around 0 3.169 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) 1/4) in x 3.169 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))))) in x 3.169 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)))) in x 3.169 * [taylor]: Taking taylor expansion of 1/4 in x 3.169 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 3.169 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 3.169 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 3.169 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.169 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.169 * [taylor]: Taking taylor expansion of 1.0 in x 3.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.169 * [taylor]: Taking taylor expansion of x in x 3.171 * [taylor]: Taking taylor expansion of 1.0 in x 3.175 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) 1/4) in x 3.175 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))))) in x 3.175 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)))) in x 3.175 * [taylor]: Taking taylor expansion of 1/4 in x 3.175 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 3.175 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 3.175 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 3.175 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.175 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.175 * [taylor]: Taking taylor expansion of 1.0 in x 3.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.175 * [taylor]: Taking taylor expansion of x in x 3.177 * [taylor]: Taking taylor expansion of 1.0 in x 3.222 * * * [progress]: simplifying candidates 3.226 * [simplify]: Simplifying using # : (expm1 (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (log1p (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (- 1/2) (- 1) (- (/ 1 2)) (- (log (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (- 0 (log (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (- (log 1) (log (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (log (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (exp (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* (* 1 1) 1) (* (* (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (cbrt (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (cbrt (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (- 1) (- (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (/ (cbrt 1) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (/ (cbrt 1) (sqrt (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt 1) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt 1) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt (+ 1.0 (sqrt 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1.0) 1.0) 13)) 1/4) (pow (/ 1 (+ (sqrt 1.0) 1.0)) 1/4)))) (* (/ x (/ 1.0 x)) (+ (* (pow (/ 1 (pow (+ (sqrt 1.0) 1.0) 13)) 1/4) 0.0625) (* (pow (/ 1 (pow (+ (sqrt 1.0) 1.0) 9)) 1/4) 1/128)))) (* (pow +nan.0 1/4) (- 1 (- (* +nan.0 (/ 1 (pow x 2))) (* +nan.0 (/ 1 x))))) (* (pow +nan.0 1/4) (- 1 (- (* +nan.0 (/ 1 (pow x 2))) (* +nan.0 (/ 1 x))))) (+ (+ (- (* 1/8 (* (/ x (sqrt 1.0)) (pow (/ 1 (pow (+ (sqrt 1.0) 1.0) 5)) 1/4)))) (fma (* 0.03125 (/ (pow x 2) (pow (sqrt 1.0) 3))) (pow (/ 1 (pow (+ (sqrt 1.0) 1.0) 9)) 1/4) (fma (* 1/16 (/ (pow x 2) (sqrt 1.0))) (pow (/ 1 (pow (+ (sqrt 1.0) 1.0) 13)) 1/4) (pow (/ 1 (+ (sqrt 1.0) 1.0)) 1/4)))) (* (/ x (/ 1.0 x)) (+ (* (pow (/ 1 (pow (+ (sqrt 1.0) 1.0) 13)) 1/4) 0.0625) (* (pow (/ 1 (pow (+ (sqrt 1.0) 1.0) 9)) 1/4) 1/128)))) (* (pow +nan.0 1/4) (- 1 (- (* +nan.0 (/ 1 (pow x 2))) (* +nan.0 (/ 1 x))))) (* (pow +nan.0 1/4) (- 1 (- (* +nan.0 (/ 1 (pow x 2))) (* +nan.0 (/ 1 x))))) 3.294 * * * [progress]: adding candidates to table 3.645 * * [progress]: iteration 4 / 4 3.645 * * * [progress]: picking best candidate 3.647 * * * * [pick]: Picked # 3.647 * * * [progress]: localizing error 3.654 * * * [progress]: generating rewritten candidates 3.654 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.673 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 3.682 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2) 3.685 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 3.696 * * * [progress]: generating series expansions 3.696 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.697 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 3.697 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 3.697 * [taylor]: Taking taylor expansion of x in x 3.697 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 3.697 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.697 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.697 * [taylor]: Taking taylor expansion of x in x 3.697 * [taylor]: Taking taylor expansion of 1.0 in x 3.703 * [taylor]: Taking taylor expansion of 1.0 in x 3.704 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 3.704 * [taylor]: Taking taylor expansion of x in x 3.704 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 3.704 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.704 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.704 * [taylor]: Taking taylor expansion of x in x 3.704 * [taylor]: Taking taylor expansion of 1.0 in x 3.706 * [taylor]: Taking taylor expansion of 1.0 in x 3.766 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 3.766 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 3.766 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 3.766 * [taylor]: Taking taylor expansion of x in x 3.766 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 3.766 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.766 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.766 * [taylor]: Taking taylor expansion of 1.0 in x 3.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.766 * [taylor]: Taking taylor expansion of x in x 3.768 * [taylor]: Taking taylor expansion of 1.0 in x 3.775 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 3.775 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 3.775 * [taylor]: Taking taylor expansion of x in x 3.775 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 3.775 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.775 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.775 * [taylor]: Taking taylor expansion of 1.0 in x 3.775 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.775 * [taylor]: Taking taylor expansion of x in x 3.782 * [taylor]: Taking taylor expansion of 1.0 in x 3.809 * [approximate]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 3.809 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 3.809 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 3.809 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.809 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.809 * [taylor]: Taking taylor expansion of -1 in x 3.809 * [taylor]: Taking taylor expansion of x in x 3.810 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 3.810 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.810 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.810 * [taylor]: Taking taylor expansion of 1.0 in x 3.810 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.810 * [taylor]: Taking taylor expansion of x in x 3.812 * [taylor]: Taking taylor expansion of 1.0 in x 3.814 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 3.814 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 3.814 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.814 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.814 * [taylor]: Taking taylor expansion of -1 in x 3.814 * [taylor]: Taking taylor expansion of x in x 3.815 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 3.815 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.815 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.815 * [taylor]: Taking taylor expansion of 1.0 in x 3.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.815 * [taylor]: Taking taylor expansion of x in x 3.817 * [taylor]: Taking taylor expansion of 1.0 in x 3.842 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 3.842 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in (x) around 0 3.842 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in x 3.842 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 3.842 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 3.842 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.842 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.842 * [taylor]: Taking taylor expansion of x in x 3.842 * [taylor]: Taking taylor expansion of 1.0 in x 3.844 * [taylor]: Taking taylor expansion of 1.0 in x 3.845 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.845 * [taylor]: Taking taylor expansion of x in x 3.846 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in x 3.847 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 3.847 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 3.847 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.847 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.847 * [taylor]: Taking taylor expansion of x in x 3.847 * [taylor]: Taking taylor expansion of 1.0 in x 3.848 * [taylor]: Taking taylor expansion of 1.0 in x 3.850 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.850 * [taylor]: Taking taylor expansion of x in x 4.077 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 4.077 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 4.077 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.077 * [taylor]: Taking taylor expansion of x in x 4.079 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 4.079 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 4.079 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.079 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.079 * [taylor]: Taking taylor expansion of 1.0 in x 4.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.079 * [taylor]: Taking taylor expansion of x in x 4.080 * [taylor]: Taking taylor expansion of 1.0 in x 4.082 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 4.082 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.082 * [taylor]: Taking taylor expansion of x in x 4.083 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 4.083 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 4.083 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.083 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.083 * [taylor]: Taking taylor expansion of 1.0 in x 4.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.083 * [taylor]: Taking taylor expansion of x in x 4.085 * [taylor]: Taking taylor expansion of 1.0 in x 4.127 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 4.127 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 4.127 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.127 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.127 * [taylor]: Taking taylor expansion of -1 in x 4.127 * [taylor]: Taking taylor expansion of x in x 4.129 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 4.129 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.129 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.129 * [taylor]: Taking taylor expansion of 1.0 in x 4.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.129 * [taylor]: Taking taylor expansion of x in x 4.131 * [taylor]: Taking taylor expansion of 1.0 in x 4.132 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 4.132 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.132 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.132 * [taylor]: Taking taylor expansion of -1 in x 4.132 * [taylor]: Taking taylor expansion of x in x 4.133 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 4.133 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.133 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.133 * [taylor]: Taking taylor expansion of 1.0 in x 4.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.133 * [taylor]: Taking taylor expansion of x in x 4.135 * [taylor]: Taking taylor expansion of 1.0 in x 4.157 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2) 4.157 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 4.157 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.157 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.157 * [taylor]: Taking taylor expansion of x in x 4.157 * [taylor]: Taking taylor expansion of 1.0 in x 4.159 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.159 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.159 * [taylor]: Taking taylor expansion of x in x 4.159 * [taylor]: Taking taylor expansion of 1.0 in x 4.169 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 4.169 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.169 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.169 * [taylor]: Taking taylor expansion of 1.0 in x 4.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.169 * [taylor]: Taking taylor expansion of x in x 4.170 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.171 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.171 * [taylor]: Taking taylor expansion of 1.0 in x 4.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.171 * [taylor]: Taking taylor expansion of x in x 4.184 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 4.184 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.184 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.184 * [taylor]: Taking taylor expansion of 1.0 in x 4.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.184 * [taylor]: Taking taylor expansion of x in x 4.186 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.186 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.186 * [taylor]: Taking taylor expansion of 1.0 in x 4.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.186 * [taylor]: Taking taylor expansion of x in x 4.194 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 4.194 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 4.194 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 4.194 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.194 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.195 * [taylor]: Taking taylor expansion of x in x 4.195 * [taylor]: Taking taylor expansion of 1.0 in x 4.196 * [taylor]: Taking taylor expansion of 1.0 in x 4.196 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 4.196 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.196 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.196 * [taylor]: Taking taylor expansion of x in x 4.196 * [taylor]: Taking taylor expansion of 1.0 in x 4.198 * [taylor]: Taking taylor expansion of 1.0 in x 4.213 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 4.213 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 4.213 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.213 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.213 * [taylor]: Taking taylor expansion of 1.0 in x 4.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.213 * [taylor]: Taking taylor expansion of x in x 4.215 * [taylor]: Taking taylor expansion of 1.0 in x 4.215 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 4.215 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.215 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.215 * [taylor]: Taking taylor expansion of 1.0 in x 4.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.215 * [taylor]: Taking taylor expansion of x in x 4.217 * [taylor]: Taking taylor expansion of 1.0 in x 4.225 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 4.225 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 4.225 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.225 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.225 * [taylor]: Taking taylor expansion of 1.0 in x 4.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.225 * [taylor]: Taking taylor expansion of x in x 4.227 * [taylor]: Taking taylor expansion of 1.0 in x 4.227 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 4.227 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.227 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.227 * [taylor]: Taking taylor expansion of 1.0 in x 4.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.227 * [taylor]: Taking taylor expansion of x in x 4.229 * [taylor]: Taking taylor expansion of 1.0 in x 4.238 * * * [progress]: simplifying candidates 4.241 * [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)) (* (sqrt x) (- (sqrt x))) (* (sqrt x) 1) (* (sqrt x) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt x) 1)) (* (sqrt x) (/ (sqrt x) 1)) (* (sqrt x) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt x) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt x) (sqrt (sqrt x))) (* (sqrt x) (sqrt 1)) (* (sqrt x) (sqrt (sqrt x))) (* (sqrt x) 1) (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 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(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 (/ 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)))) (* 1/8 (/ (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))))) 4.249 * * [simplify]: iteration 0 : 567 enodes (cost 1366 ) 4.260 * * [simplify]: iteration 1 : 2375 enodes (cost 1212 ) 4.300 * * [simplify]: iteration 2 : 5002 enodes (cost 1173 ) 4.307 * [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)))) 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2))) (fma (- +nan.0) (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))) (fma +nan.0 (/ (/ (pow x 3) (pow (+ (sqrt 1.0) 1.0) 3)) 1.0) (fma (- +nan.0) (/ x (+ (sqrt 1.0) 1.0)) (* +nan.0 (- (/ (pow x 3) (+ (sqrt 1.0) 1.0)) (/ (pow x 3) (* (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))) (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))) (+ (sqrt 1.0) (- (fma 1/2 (/ x (sqrt 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))) 4.308 * * * [progress]: adding candidates to table 4.558 * [progress]: [Phase 3 of 3] Extracting. 4.558 * * [regime]: Finding splitpoints for: (# # #) 4.559 * * * [regime-changes]: Trying 2 branch expressions: ((/ x (+ 1.0 (sqrt (+ x 1.0)))) x) 4.559 * * * * [regimes]: Trying to branch on (/ x (+ 1.0 (sqrt (+ x 1.0)))) from (# # #) 4.579 * * * * [regimes]: Trying to branch on x from (# # #) 4.592 * * * [regime]: Found split indices: #