8.650 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.035 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.036 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.037 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.038 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.040 * * * * [pick]: Picked # 0.040 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.100 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.112 * * * [progress]: generating series expansions 0.112 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.112 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.112 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.112 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of 1.0 in x 0.115 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.116 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.116 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.138 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.138 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.138 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.138 * [taylor]: Taking taylor expansion of 1.0 in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.141 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.161 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.161 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.161 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.161 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.161 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.163 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.163 * [taylor]: Taking taylor expansion of -1 in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.164 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.164 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.166 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.166 * [taylor]: Taking taylor expansion of -1 in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.182 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.182 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 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 0.184 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.184 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of 1.0 in x 0.193 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.193 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.193 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.193 * [taylor]: Taking taylor expansion of 1.0 in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.195 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.195 * [taylor]: Taking taylor expansion of 1.0 in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.202 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.202 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.202 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.202 * [taylor]: Taking taylor expansion of 1.0 in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.202 * [taylor]: Taking taylor expansion of x in x 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 0.211 * * * [progress]: simplifying candidates 0.213 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma 1 (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (/ (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (* (* (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (sqrt x)) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (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))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (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))))) 0.220 * * [simplify]: iteration 0 : 299 enodes (cost 1161 ) 0.226 * * [simplify]: iteration 1 : 921 enodes (cost 822 ) 0.249 * * [simplify]: iteration 2 : 5001 enodes (cost 744 ) 0.253 * [simplify]: Simplified to: (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) 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(sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (pow (- (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (+ (fma (sqrt x) (sqrt (+ x 1.0)) x) x) 1.0) (- (sqrt x)) (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (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 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (fma 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))))) 0.254 * * * [progress]: adding candidates to table 0.396 * * [progress]: iteration 2 / 4 0.396 * * * [progress]: picking best candidate 0.402 * * * * [pick]: Picked # 0.402 * * * [progress]: localizing error 0.411 * * * [progress]: generating rewritten candidates 0.411 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.471 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.505 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.517 * * * [progress]: generating series expansions 0.517 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.518 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.518 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.518 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.518 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.522 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.522 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.524 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.602 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.602 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.602 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.602 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.604 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.604 * [taylor]: Taking taylor expansion of 1.0 in x 0.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.606 * [taylor]: Taking taylor expansion of 1.0 in x 0.606 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.606 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.607 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.607 * [taylor]: Taking taylor expansion of 1.0 in x 0.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.633 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.633 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.633 * [taylor]: Taking taylor expansion of 1.0 in x 0.634 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.634 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.634 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.634 * [taylor]: Taking taylor expansion of -1 in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.635 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.635 * [taylor]: Taking taylor expansion of 1.0 in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.637 * [taylor]: Taking taylor expansion of 1.0 in x 0.637 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.637 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.637 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.637 * [taylor]: Taking taylor expansion of -1 in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.639 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.639 * [taylor]: Taking taylor expansion of 1.0 in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.659 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.659 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.659 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.659 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.659 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of 1.0 in x 0.660 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.661 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.661 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of 1.0 in x 0.663 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.663 * [taylor]: Taking taylor expansion of x in x 0.681 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.681 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.681 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.683 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.684 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.684 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.685 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.685 * [taylor]: Taking taylor expansion of 1.0 in x 0.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.685 * [taylor]: Taking taylor expansion of x in x 0.699 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.699 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.699 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.699 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.699 * [taylor]: Taking taylor expansion of -1 in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.700 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.700 * [taylor]: Taking taylor expansion of 1.0 in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.702 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.702 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.702 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.702 * [taylor]: Taking taylor expansion of -1 in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.709 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.709 * [taylor]: Taking taylor expansion of 1.0 in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.723 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.723 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.723 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.723 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of 1.0 in x 0.725 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.725 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of 1.0 in x 0.733 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.733 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.733 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.733 * [taylor]: Taking taylor expansion of 1.0 in x 0.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.735 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.742 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.742 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.742 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.742 * [taylor]: Taking taylor expansion of 1.0 in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.743 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.743 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.751 * * * [progress]: simplifying candidates 0.752 * [simplify]: Simplifying using # : (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (log (+ 1.0 0)) (log (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (+ 1.0 0)) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) 1) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) 1) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (/ (+ 1.0 0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (* 1.0 1.0) (- (* 0 0) (* 1.0 0)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (- 1.0 0)) (expm1 (+ (sqrt (+ x 1.0)) (sqrt x))) (log1p (+ (sqrt (+ x 1.0)) (sqrt x))) (* (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (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))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (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))))) 0.759 * * [simplify]: iteration 0 : 409 enodes (cost 790 ) 0.767 * * [simplify]: iteration 1 : 1672 enodes (cost 716 ) 0.796 * * [simplify]: iteration 2 : 5001 enodes (cost 675 ) 0.799 * [simplify]: Simplified to: (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- 0 1.0) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1.0 1.0 1.0 1.0 (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ 1.0 (* (fma x (sqrt x) (pow (sqrt (+ x 1.0)) 3)) 1)) (/ 1.0 (* (+ x (- 1.0 x)) 1)) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (* 1.0 1.0)) (* 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (expm1 (+ (sqrt (+ x 1.0)) (sqrt x))) (log1p (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (pow (+ (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (fma x (sqrt x) (pow (sqrt (+ x 1.0)) 3)) (- (+ (+ x 1.0) x) (* (sqrt (+ x 1.0)) (sqrt x))) 1.0 (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (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 1.0 (/ 1 (sqrt 1.0)) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (fma +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)) (* 0.5 (/ x (pow (sqrt 1.0) 3))))) (+ (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (/ (- (* +nan.0 x)) 1.0)) (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ +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)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (fma 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))))) 0.800 * * * [progress]: adding candidates to table 1.014 * * [progress]: iteration 3 / 4 1.014 * * * [progress]: picking best candidate 1.037 * * * * [pick]: Picked # 1.037 * * * [progress]: localizing error 1.050 * * * [progress]: generating rewritten candidates 1.050 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.051 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.112 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.113 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.153 * * * [progress]: generating series expansions 1.153 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.153 * [approximate]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in (x) around 0 1.154 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.154 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 1) 1.154 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.154 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.154 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.154 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.154 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.156 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.159 * [taylor]: Taking taylor expansion of 1 in x 1.159 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.159 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 1) 1.159 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.159 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.159 * [taylor]: Taking taylor expansion of 1.0 in x 1.159 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.159 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.159 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.159 * [taylor]: Taking taylor expansion of 1.0 in x 1.161 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.163 * [taylor]: Taking taylor expansion of 1 in x 1.379 * [approximate]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in (x) around 0 1.379 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.379 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) 1) 1.379 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.379 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.379 * [taylor]: Taking taylor expansion of 1.0 in x 1.379 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.379 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.379 * [taylor]: Taking taylor expansion of x in x 1.380 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.380 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.380 * [taylor]: Taking taylor expansion of 1.0 in x 1.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.380 * [taylor]: Taking taylor expansion of x in x 1.383 * [taylor]: Taking taylor expansion of 1 in x 1.383 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.383 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) 1) 1.383 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.383 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.383 * [taylor]: Taking taylor expansion of 1.0 in x 1.383 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.383 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.383 * [taylor]: Taking taylor expansion of x in x 1.384 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.384 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.384 * [taylor]: Taking taylor expansion of 1.0 in x 1.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.384 * [taylor]: Taking taylor expansion of x in x 1.387 * [taylor]: Taking taylor expansion of 1 in x 1.417 * [approximate]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in (x) around 0 1.417 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.417 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) 1) 1.417 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.417 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.417 * [taylor]: Taking taylor expansion of 1.0 in x 1.417 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.417 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.417 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.417 * [taylor]: Taking taylor expansion of -1 in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.418 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.418 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.418 * [taylor]: Taking taylor expansion of 1.0 in x 1.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.421 * [taylor]: Taking taylor expansion of 1 in x 1.421 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.421 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) 1) 1.421 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.421 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.421 * [taylor]: Taking taylor expansion of 1.0 in x 1.421 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.421 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.421 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.421 * [taylor]: Taking taylor expansion of -1 in x 1.421 * [taylor]: Taking taylor expansion of x in x 1.423 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.423 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.423 * [taylor]: Taking taylor expansion of 1.0 in x 1.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.425 * [taylor]: Taking taylor expansion of 1 in x 1.455 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.456 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.456 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.456 * [taylor]: Taking taylor expansion of 1.0 in x 1.456 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.456 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.456 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.456 * [taylor]: Taking taylor expansion of 1.0 in x 1.457 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.466 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.466 * [taylor]: Taking taylor expansion of 1.0 in x 1.466 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.466 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.466 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.466 * [taylor]: Taking taylor expansion of x in x 1.466 * [taylor]: Taking taylor expansion of 1.0 in x 1.468 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.542 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.542 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.542 * [taylor]: Taking taylor expansion of 1.0 in x 1.542 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.542 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.542 * [taylor]: Taking taylor expansion of x in x 1.543 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.543 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.543 * [taylor]: Taking taylor expansion of 1.0 in x 1.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.543 * [taylor]: Taking taylor expansion of x in x 1.545 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.545 * [taylor]: Taking taylor expansion of 1.0 in x 1.545 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.545 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.546 * [taylor]: Taking taylor expansion of x in x 1.553 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.553 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.553 * [taylor]: Taking taylor expansion of 1.0 in x 1.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.553 * [taylor]: Taking taylor expansion of x in x 1.574 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.574 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.574 * [taylor]: Taking taylor expansion of 1.0 in x 1.574 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.574 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.574 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.574 * [taylor]: Taking taylor expansion of -1 in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.575 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.575 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.575 * [taylor]: Taking taylor expansion of 1.0 in x 1.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.576 * [taylor]: Taking taylor expansion of x in x 1.578 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.578 * [taylor]: Taking taylor expansion of 1.0 in x 1.578 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.578 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.578 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.578 * [taylor]: Taking taylor expansion of -1 in x 1.578 * [taylor]: Taking taylor expansion of x in x 1.579 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.579 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.579 * [taylor]: Taking taylor expansion of 1.0 in x 1.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.579 * [taylor]: Taking taylor expansion of x in x 1.599 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.599 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 1.599 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.599 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) 1.600 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.600 * [taylor]: Taking taylor expansion of 1 in x 1.600 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.600 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 1) 1.600 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.600 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.600 * [taylor]: Taking taylor expansion of 1.0 in x 1.600 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.600 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.600 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.600 * [taylor]: Taking taylor expansion of x in x 1.600 * [taylor]: Taking taylor expansion of 1.0 in x 1.601 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.601 * [taylor]: Taking taylor expansion of x in x 1.604 * [taylor]: Taking taylor expansion of 1 in x 1.608 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.609 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) 1.609 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.609 * [taylor]: Taking taylor expansion of 1 in x 1.609 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.609 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 1) 1.609 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.609 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.609 * [taylor]: Taking taylor expansion of 1.0 in x 1.609 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.609 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.609 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.609 * [taylor]: Taking taylor expansion of x in x 1.609 * [taylor]: Taking taylor expansion of 1.0 in x 1.610 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.613 * [taylor]: Taking taylor expansion of 1 in x 1.962 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 1.962 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.962 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))) 1.962 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.962 * [taylor]: Taking taylor expansion of 1 in x 1.962 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.962 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) 1) 1.962 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.962 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.962 * [taylor]: Taking taylor expansion of 1.0 in x 1.962 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.962 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.962 * [taylor]: Taking taylor expansion of x in x 1.963 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.963 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.963 * [taylor]: Taking taylor expansion of 1.0 in x 1.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.963 * [taylor]: Taking taylor expansion of x in x 1.966 * [taylor]: Taking taylor expansion of 1 in x 1.968 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.968 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))) 1.968 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.968 * [taylor]: Taking taylor expansion of 1 in x 1.968 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.968 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) 1) 1.968 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.968 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.968 * [taylor]: Taking taylor expansion of 1.0 in x 1.968 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.968 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.968 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.968 * [taylor]: Taking taylor expansion of x in x 1.970 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.970 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.970 * [taylor]: Taking taylor expansion of 1.0 in x 1.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.972 * [taylor]: Taking taylor expansion of 1 in x 2.029 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 2.029 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 2.029 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))) 2.029 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 2.029 * [taylor]: Taking taylor expansion of 1 in x 2.029 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.029 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) 1) 2.029 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.029 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.029 * [taylor]: Taking taylor expansion of 1.0 in x 2.029 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.029 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.029 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.029 * [taylor]: Taking taylor expansion of -1 in x 2.029 * [taylor]: Taking taylor expansion of x in x 2.031 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.031 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.031 * [taylor]: Taking taylor expansion of 1.0 in x 2.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.031 * [taylor]: Taking taylor expansion of x in x 2.033 * [taylor]: Taking taylor expansion of 1 in x 2.035 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 2.035 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))) 2.035 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 2.035 * [taylor]: Taking taylor expansion of 1 in x 2.035 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.036 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) 1) 2.036 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.036 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.036 * [taylor]: Taking taylor expansion of 1.0 in x 2.036 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.036 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.036 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.036 * [taylor]: Taking taylor expansion of -1 in x 2.036 * [taylor]: Taking taylor expansion of x in x 2.037 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.037 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.037 * [taylor]: Taking taylor expansion of 1.0 in x 2.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.037 * [taylor]: Taking taylor expansion of x in x 2.040 * [taylor]: Taking taylor expansion of 1 in x 2.097 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 2.097 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 2.097 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.097 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.097 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.097 * [taylor]: Taking taylor expansion of x in x 2.097 * [taylor]: Taking taylor expansion of 1.0 in x 2.098 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.098 * [taylor]: Taking taylor expansion of x in x 2.100 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.100 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.100 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.100 * [taylor]: Taking taylor expansion of x in x 2.100 * [taylor]: Taking taylor expansion of 1.0 in x 2.101 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.101 * [taylor]: Taking taylor expansion of x in x 2.119 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 2.119 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.120 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.120 * [taylor]: Taking taylor expansion of x in x 2.121 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.121 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.121 * [taylor]: Taking taylor expansion of 1.0 in x 2.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.121 * [taylor]: Taking taylor expansion of x in x 2.122 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.122 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.122 * [taylor]: Taking taylor expansion of x in x 2.123 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.123 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.123 * [taylor]: Taking taylor expansion of 1.0 in x 2.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.124 * [taylor]: Taking taylor expansion of x in x 2.138 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 2.138 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.138 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.138 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.138 * [taylor]: Taking taylor expansion of -1 in x 2.138 * [taylor]: Taking taylor expansion of x in x 2.139 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.139 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.139 * [taylor]: Taking taylor expansion of 1.0 in x 2.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.139 * [taylor]: Taking taylor expansion of x in x 2.140 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.141 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.141 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.141 * [taylor]: Taking taylor expansion of -1 in x 2.141 * [taylor]: Taking taylor expansion of x in x 2.142 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.142 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.142 * [taylor]: Taking taylor expansion of 1.0 in x 2.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.142 * [taylor]: Taking taylor expansion of x in x 2.157 * * * [progress]: simplifying candidates 2.158 * [simplify]: Simplifying using # : (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (expm1 (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (exp (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (log (+ 1.0 0)) (log (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (+ 1.0 0)) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) 1) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) 1) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (/ (+ 1.0 0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (* 1.0 1.0) (- (* 0 0) (* 1.0 0)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (- 1.0 0)) (+ 1 (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (expm1 (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log1p (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (exp (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))))) (cbrt (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (* (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (expm1 (+ (sqrt (+ x 1.0)) (sqrt x))) (log1p (+ (sqrt (+ x 1.0)) (sqrt x))) (* (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (- (+ (exp (/ 1.0 (sqrt 1.0))) (* 0.125 (/ (* (pow x 2) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 6)))) (+ 1 (- (* 0.5 (/ (* x (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (* (pow x 2) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ (* (pow x 2) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ (* (pow x 2) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 5))) (- (+ (* +nan.0 (/ (* (pow x 2) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ (* x (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 2)))))))))))))) (- (exp +nan.0) (+ 1 (- (+ (* +nan.0 (/ (exp +nan.0) (pow x 2))) (- (* +nan.0 (/ (exp +nan.0) x))))))) (- (exp +nan.0) (+ 1 (- (+ (* +nan.0 (/ (exp +nan.0) (pow x 2))) (- (* +nan.0 (/ (exp +nan.0) x))))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (* 1.0 (/ 1 (sqrt 1.0))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 5))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 2.166 * * [simplify]: iteration 0 : 542 enodes (cost 1045 ) 2.175 * * [simplify]: iteration 1 : 2186 enodes (cost 929 ) 2.211 * * [simplify]: iteration 2 : 5002 enodes (cost 899 ) 2.223 * [simplify]: Simplified to: (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (expm1 (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (log (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (exp (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (pow (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (sqrt (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- 0 1.0) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1.0 1.0 1.0 1.0 (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ 1.0 (* (fma x (sqrt x) (pow (sqrt (+ x 1.0)) 3)) 1)) (/ 1.0 (* (+ x (- 1.0 x)) 1)) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (* 1.0 1.0)) (* 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (+ 1 (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (expm1 (+ (sqrt (+ x 1.0)) (sqrt x))) (log1p (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (pow (+ (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (fma x (sqrt x) (pow (sqrt (+ x 1.0)) 3)) (- (+ (+ x 1.0) x) (* (sqrt (+ x 1.0)) (sqrt x))) (+ x (- 1.0 x)) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (- (- (fma 0.125 (/ (* (pow x 2) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 6)) (exp (/ 1.0 (sqrt 1.0)))) (- (- (- (* 0.5 (/ (* x (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 3))) (* +nan.0 (/ (* (pow x 2) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 2)))) (/ (- (* +nan.0 (* (pow x 2) (exp (/ 1.0 (sqrt 1.0)))))) (* 1.0 1.0))) (- (- (* +nan.0 (/ (* (pow x 2) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 5))) (* +nan.0 (/ (* (pow x 2) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 3)))) (/ (- (* +nan.0 (* x (exp (/ 1.0 (sqrt 1.0)))))) 1.0)))) 1) (+ (expm1 +nan.0) (* +nan.0 (- (/ (exp +nan.0) (pow x 2)) (/ (exp +nan.0) x)))) (+ (expm1 +nan.0) (* +nan.0 (- (/ (exp +nan.0) (pow x 2)) (/ (exp +nan.0) x)))) (+ (- (fma 1.0 (/ 1 (sqrt 1.0)) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (fma +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)) (* 0.5 (/ x (pow (sqrt 1.0) 3))))) (+ (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (/ (- (* +nan.0 x)) 1.0)) (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (* 1.0 (/ 1 (sqrt 1.0))) (fma +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 5)) (* 0.5 (/ x (pow (sqrt 1.0) 3))))) (+ (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (* (- +nan.0) (* (/ x 1.0) (/ x 1.0)))) (* +nan.0 (- (/ x (pow (sqrt 1.0) 2)) (/ (pow x 2) (pow (sqrt 1.0) 3)))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) 2.224 * * * [progress]: adding candidates to table 2.495 * * [progress]: iteration 4 / 4 2.495 * * * [progress]: picking best candidate 2.515 * * * * [pick]: Picked # 2.515 * * * [progress]: localizing error 2.533 * * * [progress]: generating rewritten candidates 2.533 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 2.590 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.590 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 2.627 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.631 * * * [progress]: generating series expansions 2.632 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 2.632 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.632 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.632 * [taylor]: Taking taylor expansion of 1.0 in x 2.632 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.632 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.632 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.632 * [taylor]: Taking taylor expansion of x in x 2.632 * [taylor]: Taking taylor expansion of 1.0 in x 2.634 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.635 * [taylor]: Taking taylor expansion of x in x 2.637 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.637 * [taylor]: Taking taylor expansion of 1.0 in x 2.637 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.637 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.637 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.637 * [taylor]: Taking taylor expansion of x in x 2.637 * [taylor]: Taking taylor expansion of 1.0 in x 2.638 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.638 * [taylor]: Taking taylor expansion of x in x 2.719 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.719 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.719 * [taylor]: Taking taylor expansion of 1.0 in x 2.719 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.719 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.719 * [taylor]: Taking taylor expansion of x in x 2.720 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.720 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.721 * [taylor]: Taking taylor expansion of 1.0 in x 2.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.721 * [taylor]: Taking taylor expansion of x in x 2.723 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.723 * [taylor]: Taking taylor expansion of 1.0 in x 2.723 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.723 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.723 * [taylor]: Taking taylor expansion of x in x 2.724 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.724 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.724 * [taylor]: Taking taylor expansion of 1.0 in x 2.724 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.724 * [taylor]: Taking taylor expansion of x in x 2.744 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.744 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.744 * [taylor]: Taking taylor expansion of 1.0 in x 2.744 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.744 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.744 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.744 * [taylor]: Taking taylor expansion of -1 in x 2.744 * [taylor]: Taking taylor expansion of x in x 2.745 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.745 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.745 * [taylor]: Taking taylor expansion of 1.0 in x 2.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.745 * [taylor]: Taking taylor expansion of x in x 2.748 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.748 * [taylor]: Taking taylor expansion of 1.0 in x 2.748 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.748 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.748 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.748 * [taylor]: Taking taylor expansion of -1 in x 2.748 * [taylor]: Taking taylor expansion of x in x 2.749 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.749 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.749 * [taylor]: Taking taylor expansion of 1.0 in x 2.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.749 * [taylor]: Taking taylor expansion of x in x 2.776 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.776 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 2.777 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.777 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 1) 2.777 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.777 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.777 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 2.777 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.777 * [taylor]: Taking taylor expansion of 1 in x 2.777 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.777 * [taylor]: Taking taylor expansion of 1.0 in x 2.777 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.777 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.777 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.777 * [taylor]: Taking taylor expansion of x in x 2.777 * [taylor]: Taking taylor expansion of 1.0 in x 2.779 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.779 * [taylor]: Taking taylor expansion of x in x 2.786 * [taylor]: Taking taylor expansion of 1 in x 2.786 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.786 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 1) 2.786 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.786 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.786 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 2.786 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.786 * [taylor]: Taking taylor expansion of 1 in x 2.786 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.786 * [taylor]: Taking taylor expansion of 1.0 in x 2.786 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.786 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.786 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.786 * [taylor]: Taking taylor expansion of x in x 2.786 * [taylor]: Taking taylor expansion of 1.0 in x 2.788 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.788 * [taylor]: Taking taylor expansion of x in x 2.795 * [taylor]: Taking taylor expansion of 1 in x 3.476 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 3.476 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 3.476 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 1) 3.476 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 3.476 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.476 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 3.476 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.476 * [taylor]: Taking taylor expansion of 1 in x 3.476 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.476 * [taylor]: Taking taylor expansion of 1.0 in x 3.476 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.476 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.476 * [taylor]: Taking taylor expansion of x in x 3.478 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.478 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.478 * [taylor]: Taking taylor expansion of 1.0 in x 3.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.478 * [taylor]: Taking taylor expansion of x in x 3.481 * [taylor]: Taking taylor expansion of 1 in x 3.481 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 3.481 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 1) 3.481 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 3.482 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.482 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 3.482 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.482 * [taylor]: Taking taylor expansion of 1 in x 3.482 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.482 * [taylor]: Taking taylor expansion of 1.0 in x 3.482 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.482 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.482 * [taylor]: Taking taylor expansion of x in x 3.483 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.483 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.483 * [taylor]: Taking taylor expansion of 1.0 in x 3.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.483 * [taylor]: Taking taylor expansion of x in x 3.487 * [taylor]: Taking taylor expansion of 1 in x 3.536 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 3.536 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 3.536 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 1) 3.536 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 3.536 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.536 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 3.536 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.536 * [taylor]: Taking taylor expansion of 1 in x 3.536 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.536 * [taylor]: Taking taylor expansion of 1.0 in x 3.536 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.536 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.536 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.536 * [taylor]: Taking taylor expansion of -1 in x 3.536 * [taylor]: Taking taylor expansion of x in x 3.538 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.538 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.538 * [taylor]: Taking taylor expansion of 1.0 in x 3.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.538 * [taylor]: Taking taylor expansion of x in x 3.542 * [taylor]: Taking taylor expansion of 1 in x 3.542 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 3.542 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 1) 3.542 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 3.542 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.542 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 3.542 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.542 * [taylor]: Taking taylor expansion of 1 in x 3.542 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.542 * [taylor]: Taking taylor expansion of 1.0 in x 3.542 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.542 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.542 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.542 * [taylor]: Taking taylor expansion of -1 in x 3.542 * [taylor]: Taking taylor expansion of x in x 3.543 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.543 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.543 * [taylor]: Taking taylor expansion of 1.0 in x 3.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.543 * [taylor]: Taking taylor expansion of x in x 3.547 * [taylor]: Taking taylor expansion of 1 in x 3.589 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 3.589 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 3.589 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.589 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.589 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.589 * [taylor]: Taking taylor expansion of x in x 3.589 * [taylor]: Taking taylor expansion of 1.0 in x 3.591 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.591 * [taylor]: Taking taylor expansion of x in x 3.592 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.592 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.592 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.592 * [taylor]: Taking taylor expansion of x in x 3.592 * [taylor]: Taking taylor expansion of 1.0 in x 3.594 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.594 * [taylor]: Taking taylor expansion of x in x 3.619 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 3.619 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.619 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.619 * [taylor]: Taking taylor expansion of x in x 3.621 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.621 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.621 * [taylor]: Taking taylor expansion of 1.0 in x 3.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.621 * [taylor]: Taking taylor expansion of x in x 3.622 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.622 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.622 * [taylor]: Taking taylor expansion of x in x 3.623 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.624 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.624 * [taylor]: Taking taylor expansion of 1.0 in x 3.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.624 * [taylor]: Taking taylor expansion of x in x 3.637 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 3.637 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.637 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.637 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.637 * [taylor]: Taking taylor expansion of -1 in x 3.637 * [taylor]: Taking taylor expansion of x in x 3.639 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.639 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.639 * [taylor]: Taking taylor expansion of 1.0 in x 3.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.639 * [taylor]: Taking taylor expansion of x in x 3.640 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.640 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.640 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.640 * [taylor]: Taking taylor expansion of -1 in x 3.640 * [taylor]: Taking taylor expansion of x in x 3.641 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.641 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.642 * [taylor]: Taking taylor expansion of 1.0 in x 3.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.642 * [taylor]: Taking taylor expansion of x in x 3.656 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.656 * [approximate]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in (x) around 0 3.656 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.656 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 3.656 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.656 * [taylor]: Taking taylor expansion of 1 in x 3.656 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.656 * [taylor]: Taking taylor expansion of 1.0 in x 3.656 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.656 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.656 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.656 * [taylor]: Taking taylor expansion of x in x 3.656 * [taylor]: Taking taylor expansion of 1.0 in x 3.658 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.658 * [taylor]: Taking taylor expansion of x in x 3.662 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.663 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 3.663 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.663 * [taylor]: Taking taylor expansion of 1 in x 3.663 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.663 * [taylor]: Taking taylor expansion of 1.0 in x 3.663 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.663 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.663 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.663 * [taylor]: Taking taylor expansion of x in x 3.663 * [taylor]: Taking taylor expansion of 1.0 in x 3.664 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.664 * [taylor]: Taking taylor expansion of x in x 4.023 * [approximate]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in (x) around 0 4.024 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 4.024 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 4.024 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 4.024 * [taylor]: Taking taylor expansion of 1 in x 4.024 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 4.024 * [taylor]: Taking taylor expansion of 1.0 in x 4.024 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 4.024 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.024 * [taylor]: Taking taylor expansion of x in x 4.025 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.025 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.025 * [taylor]: Taking taylor expansion of 1.0 in x 4.025 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.025 * [taylor]: Taking taylor expansion of x in x 4.028 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 4.028 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 4.028 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 4.028 * [taylor]: Taking taylor expansion of 1 in x 4.028 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 4.028 * [taylor]: Taking taylor expansion of 1.0 in x 4.028 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 4.028 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.028 * [taylor]: Taking taylor expansion of x in x 4.030 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.030 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.030 * [taylor]: Taking taylor expansion of 1.0 in x 4.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.030 * [taylor]: Taking taylor expansion of x in x 4.074 * [approximate]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in (x) around 0 4.074 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 4.074 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 4.074 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 4.074 * [taylor]: Taking taylor expansion of 1 in x 4.074 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 4.074 * [taylor]: Taking taylor expansion of 1.0 in x 4.074 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 4.074 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.074 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.074 * [taylor]: Taking taylor expansion of -1 in x 4.074 * [taylor]: Taking taylor expansion of x in x 4.075 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.075 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.075 * [taylor]: Taking taylor expansion of 1.0 in x 4.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.075 * [taylor]: Taking taylor expansion of x in x 4.079 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 4.079 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 4.079 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 4.079 * [taylor]: Taking taylor expansion of 1 in x 4.079 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 4.079 * [taylor]: Taking taylor expansion of 1.0 in x 4.079 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 4.079 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.079 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.079 * [taylor]: Taking taylor expansion of -1 in x 4.079 * [taylor]: Taking taylor expansion of x in x 4.080 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.080 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.080 * [taylor]: Taking taylor expansion of 1.0 in x 4.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.080 * [taylor]: Taking taylor expansion of x in x 4.116 * * * [progress]: simplifying candidates 4.118 * [simplify]: Simplifying using # : (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (log (+ 1.0 0)) (log (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (+ 1.0 0)) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) 1) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) 1) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (/ (+ 1.0 0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 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(log (- +nan.0)) (/ (- +nan.0) x)) (* +nan.0 (/ 1 (pow x 2)))) (- (- (log (- +nan.0)) (/ (- +nan.0) x)) (* +nan.0 (/ 1 (pow x 2)))) 4.197 * * * [progress]: adding candidates to table 4.476 * [progress]: [Phase 3 of 3] Extracting. 4.476 * * [regime]: Finding splitpoints for: (# # # # # # # #) 4.479 * * * [regime-changes]: Trying 1 branch expressions: (x) 4.479 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 4.514 * * * [regime]: Found split indices: #