25.352 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.036 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.037 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.039 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.039 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.039 * * [progress]: iteration 1 / 4 0.039 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.056 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.064 * * * [progress]: generating series expansions 0.064 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.064 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.064 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.064 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.064 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.068 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.068 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.095 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.095 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.095 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.095 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.098 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.116 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.116 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.116 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.116 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.116 * [taylor]: Taking taylor expansion of 1.0 in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.118 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.118 * [taylor]: Taking taylor expansion of -1 in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.119 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.119 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.119 * [taylor]: Taking taylor expansion of 1.0 in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.121 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.121 * [taylor]: Taking taylor expansion of -1 in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.138 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.138 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.138 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of 1.0 in x 0.140 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.140 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.150 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.151 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.159 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.159 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.159 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.159 * [taylor]: Taking taylor expansion of 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 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.168 * * * [progress]: simplifying candidates 0.170 * [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))))) 0.181 * * [simplify]: iteration 0 : 299 enodes (cost 1161 ) 0.187 * * [simplify]: iteration 1 : 921 enodes (cost 822 ) 0.211 * * [simplify]: iteration 2 : 5001 enodes (cost 744 ) 0.216 * [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))))) 0.217 * * * [progress]: adding candidates to table 0.331 * * [progress]: iteration 2 / 4 0.331 * * * [progress]: picking best candidate 0.338 * * * * [pick]: Picked # 0.338 * * * [progress]: localizing error 0.348 * * * [progress]: generating rewritten candidates 0.348 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.361 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.369 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.375 * * * [progress]: generating series expansions 0.375 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.376 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.376 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.376 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.376 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.381 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.381 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.381 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.462 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.462 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.462 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.462 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.464 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.466 * [taylor]: Taking taylor expansion of 1.0 in x 0.466 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.466 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.467 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.488 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.488 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.489 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.489 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.489 * [taylor]: Taking taylor expansion of -1 in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.490 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.490 * [taylor]: Taking taylor expansion of 1.0 in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.493 * [taylor]: Taking taylor expansion of 1.0 in x 0.493 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.493 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.493 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.493 * [taylor]: Taking taylor expansion of -1 in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.494 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.494 * [taylor]: Taking taylor expansion of 1.0 in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.519 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.520 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.520 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.520 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.520 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.523 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.523 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of 1.0 in x 0.524 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.543 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.543 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.543 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.545 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.546 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.547 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.548 * [taylor]: Taking taylor expansion of 1.0 in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.563 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.563 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.563 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.563 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.563 * [taylor]: Taking taylor expansion of -1 in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.564 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.566 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.566 * [taylor]: Taking taylor expansion of -1 in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.567 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.567 * [taylor]: Taking taylor expansion of 1.0 in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.583 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.583 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.583 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.583 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of 1.0 in x 0.585 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.585 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of 1.0 in x 0.594 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.594 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.594 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.594 * [taylor]: Taking taylor expansion of 1.0 in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.602 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.609 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.609 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.609 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.609 * [taylor]: Taking taylor expansion of 1.0 in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.611 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.611 * [taylor]: Taking taylor expansion of 1.0 in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.619 * * * [progress]: simplifying candidates 0.621 * [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))))) 0.627 * * [simplify]: iteration 0 : 409 enodes (cost 789 ) 0.636 * * [simplify]: iteration 1 : 1675 enodes (cost 716 ) 0.667 * * [simplify]: iteration 2 : 5001 enodes (cost 675 ) 0.671 * [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))))) 0.671 * * * [progress]: adding candidates to table 0.855 * * [progress]: iteration 3 / 4 0.855 * * * [progress]: picking best candidate 0.870 * * * * [pick]: Picked # 0.870 * * * [progress]: localizing error 0.881 * * * [progress]: generating rewritten candidates 0.881 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.882 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.895 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.896 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.907 * * * [progress]: generating series expansions 0.907 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.908 * [approximate]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in (x) around 0 0.908 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 0.908 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 1) 0.908 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 0.908 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.908 * [taylor]: Taking taylor expansion of 1.0 in x 0.908 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.908 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.908 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of 1.0 in x 0.914 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of 1 in x 0.917 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 0.917 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 1) 0.917 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 0.917 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.917 * [taylor]: Taking taylor expansion of 1.0 in x 0.917 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.917 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.917 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of 1.0 in x 0.919 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of 1 in x 1.138 * [approximate]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in (x) around 0 1.138 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.138 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) 1) 1.138 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.138 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.138 * [taylor]: Taking taylor expansion of 1.0 in x 1.138 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.138 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.138 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.140 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.140 * [taylor]: Taking taylor expansion of 1.0 in x 1.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of 1 in x 1.143 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.143 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) 1) 1.143 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.143 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.143 * [taylor]: Taking taylor expansion of 1.0 in x 1.143 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.143 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.144 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.145 * [taylor]: Taking taylor expansion of 1.0 in x 1.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.147 * [taylor]: Taking taylor expansion of 1 in x 1.187 * [approximate]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in (x) around 0 1.187 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.188 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) 1) 1.188 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.188 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.188 * [taylor]: Taking taylor expansion of 1.0 in x 1.188 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.188 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.188 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.188 * [taylor]: Taking taylor expansion of -1 in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.189 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.189 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.189 * [taylor]: Taking taylor expansion of 1.0 in x 1.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.192 * [taylor]: Taking taylor expansion of 1 in x 1.192 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.192 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) 1) 1.192 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.193 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.193 * [taylor]: Taking taylor expansion of 1.0 in x 1.193 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.193 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.193 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.193 * [taylor]: Taking taylor expansion of -1 in x 1.193 * [taylor]: Taking taylor expansion of x in x 1.194 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.194 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.194 * [taylor]: Taking taylor expansion of 1.0 in x 1.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.194 * [taylor]: Taking taylor expansion of x in x 1.197 * [taylor]: Taking taylor expansion of 1 in x 1.229 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.230 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.230 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.230 * [taylor]: Taking taylor expansion of 1.0 in x 1.230 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.230 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.230 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.230 * [taylor]: Taking taylor expansion of x in x 1.230 * [taylor]: Taking taylor expansion of 1.0 in x 1.232 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.232 * [taylor]: Taking taylor expansion of x in x 1.234 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.234 * [taylor]: Taking taylor expansion of 1.0 in x 1.234 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.234 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.234 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.234 * [taylor]: Taking taylor expansion of 1.0 in x 1.236 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.236 * [taylor]: Taking taylor expansion of x in x 1.318 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.319 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.319 * [taylor]: Taking taylor expansion of 1.0 in x 1.319 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.319 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.320 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.320 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.320 * [taylor]: Taking taylor expansion of 1.0 in x 1.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.323 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.323 * [taylor]: Taking taylor expansion of 1.0 in x 1.323 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.323 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.324 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.324 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.324 * [taylor]: Taking taylor expansion of 1.0 in x 1.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.324 * [taylor]: Taking taylor expansion of x in x 1.353 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.353 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.353 * [taylor]: Taking taylor expansion of 1.0 in x 1.353 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.353 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.353 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.353 * [taylor]: Taking taylor expansion of -1 in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.354 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.354 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.354 * [taylor]: Taking taylor expansion of 1.0 in x 1.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.354 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.357 * [taylor]: Taking taylor expansion of 1.0 in x 1.357 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.357 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.357 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.357 * [taylor]: Taking taylor expansion of -1 in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.358 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.358 * [taylor]: Taking taylor expansion of 1.0 in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.380 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.381 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 1.381 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.381 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) 1.381 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.381 * [taylor]: Taking taylor expansion of 1 in x 1.381 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.381 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 1) 1.381 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.381 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.381 * [taylor]: Taking taylor expansion of 1.0 in x 1.381 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.381 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.381 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.381 * [taylor]: Taking taylor expansion of x in x 1.381 * [taylor]: Taking taylor expansion of 1.0 in x 1.383 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.383 * [taylor]: Taking taylor expansion of x in x 1.386 * [taylor]: Taking taylor expansion of 1 in x 1.390 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.390 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) 1.390 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.390 * [taylor]: Taking taylor expansion of 1 in x 1.391 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.391 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 1) 1.391 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.391 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.391 * [taylor]: Taking taylor expansion of 1.0 in x 1.391 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.391 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.391 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.391 * [taylor]: Taking taylor expansion of x in x 1.391 * [taylor]: Taking taylor expansion of 1.0 in x 1.393 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.393 * [taylor]: Taking taylor expansion of x in x 1.396 * [taylor]: Taking taylor expansion of 1 in x 1.756 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 1.756 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.756 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))) 1.756 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.756 * [taylor]: Taking taylor expansion of 1 in x 1.756 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.756 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) 1) 1.756 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.756 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.756 * [taylor]: Taking taylor expansion of 1.0 in x 1.756 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.756 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.756 * [taylor]: Taking taylor expansion of x in x 1.758 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.758 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.758 * [taylor]: Taking taylor expansion of 1.0 in x 1.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.758 * [taylor]: Taking taylor expansion of x in x 1.761 * [taylor]: Taking taylor expansion of 1 in x 1.763 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.763 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))) 1.763 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.763 * [taylor]: Taking taylor expansion of 1 in x 1.763 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.764 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) 1) 1.764 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.764 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.764 * [taylor]: Taking taylor expansion of 1.0 in x 1.764 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.764 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.764 * [taylor]: Taking taylor expansion of x in x 1.765 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.765 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.765 * [taylor]: Taking taylor expansion of 1.0 in x 1.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.765 * [taylor]: Taking taylor expansion of x in x 1.768 * [taylor]: Taking taylor expansion of 1 in x 1.819 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 1.819 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.819 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))) 1.819 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.819 * [taylor]: Taking taylor expansion of 1 in x 1.819 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.819 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) 1) 1.819 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.819 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.819 * [taylor]: Taking taylor expansion of 1.0 in x 1.819 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.819 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.819 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.819 * [taylor]: Taking taylor expansion of -1 in x 1.819 * [taylor]: Taking taylor expansion of x in x 1.822 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.822 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.822 * [taylor]: Taking taylor expansion of 1.0 in x 1.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.822 * [taylor]: Taking taylor expansion of x in x 1.825 * [taylor]: Taking taylor expansion of 1 in x 1.827 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.827 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))) 1.827 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.827 * [taylor]: Taking taylor expansion of 1 in x 1.827 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.827 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) 1) 1.827 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.827 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.827 * [taylor]: Taking taylor expansion of 1.0 in x 1.827 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.827 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.827 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.827 * [taylor]: Taking taylor expansion of -1 in x 1.827 * [taylor]: Taking taylor expansion of x in x 1.829 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.829 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.829 * [taylor]: Taking taylor expansion of 1.0 in x 1.829 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.829 * [taylor]: Taking taylor expansion of x in x 1.832 * [taylor]: Taking taylor expansion of 1 in x 1.890 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.890 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 1.890 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.890 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.890 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.891 * [taylor]: Taking taylor expansion of x in x 1.891 * [taylor]: Taking taylor expansion of 1.0 in x 1.892 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.892 * [taylor]: Taking taylor expansion of x in x 1.893 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.893 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.893 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.894 * [taylor]: Taking taylor expansion of x in x 1.894 * [taylor]: Taking taylor expansion of 1.0 in x 1.895 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.915 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 1.915 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.915 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.915 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.915 * [taylor]: Taking taylor expansion of x in x 1.916 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.916 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.916 * [taylor]: Taking taylor expansion of 1.0 in x 1.916 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.916 * [taylor]: Taking taylor expansion of x in x 1.918 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.918 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.918 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.918 * [taylor]: Taking taylor expansion of x in x 1.919 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.919 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.919 * [taylor]: Taking taylor expansion of 1.0 in x 1.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.919 * [taylor]: Taking taylor expansion of x in x 1.940 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 1.940 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.940 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.940 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.940 * [taylor]: Taking taylor expansion of -1 in x 1.940 * [taylor]: Taking taylor expansion of x in x 1.942 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.942 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.942 * [taylor]: Taking taylor expansion of 1.0 in x 1.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.942 * [taylor]: Taking taylor expansion of x in x 1.943 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.943 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.944 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.944 * [taylor]: Taking taylor expansion of -1 in x 1.944 * [taylor]: Taking taylor expansion of x in x 1.945 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.945 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.945 * [taylor]: Taking taylor expansion of 1.0 in x 1.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.945 * [taylor]: Taking taylor expansion of x in x 1.961 * * * [progress]: simplifying candidates 1.962 * [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))))) 1.971 * * [simplify]: iteration 0 : 542 enodes (cost 1045 ) 1.981 * * [simplify]: iteration 1 : 2186 enodes (cost 929 ) 2.020 * * [simplify]: iteration 2 : 5002 enodes (cost 899 ) 2.025 * [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))) 2.025 * * * [progress]: adding candidates to table 2.245 * * [progress]: iteration 4 / 4 2.245 * * * [progress]: picking best candidate 2.258 * * * * [pick]: Picked # 2.258 * * * [progress]: localizing error 2.270 * * * [progress]: generating rewritten candidates 2.270 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 2.285 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 2.288 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 2.291 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 2.297 * * * [progress]: generating series expansions 2.297 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 2.298 * [approximate]: Taking taylor expansion of (pow (pow (+ x 1.0) 2) 1/3) in (x) around 0 2.298 * [taylor]: Taking taylor expansion of (pow (pow (+ x 1.0) 2) 1/3) in x 2.298 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ x 1.0) 2)))) in x 2.298 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ x 1.0) 2))) in x 2.298 * [taylor]: Taking taylor expansion of 1/3 in x 2.298 * [taylor]: Taking taylor expansion of (log (pow (+ x 1.0) 2)) in x 2.298 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 2.298 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.298 * [taylor]: Taking taylor expansion of x in x 2.298 * [taylor]: Taking taylor expansion of 1.0 in x 2.301 * [taylor]: Taking taylor expansion of (pow (pow (+ x 1.0) 2) 1/3) in x 2.301 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ x 1.0) 2)))) in x 2.301 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ x 1.0) 2))) in x 2.301 * [taylor]: Taking taylor expansion of 1/3 in x 2.301 * [taylor]: Taking taylor expansion of (log (pow (+ x 1.0) 2)) in x 2.301 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 2.301 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.301 * [taylor]: Taking taylor expansion of x in x 2.301 * [taylor]: Taking taylor expansion of 1.0 in x 2.344 * [approximate]: Taking taylor expansion of (pow (pow (+ 1.0 (/ 1 x)) 2) 1/3) in (x) around 0 2.344 * [taylor]: Taking taylor expansion of (pow (pow (+ 1.0 (/ 1 x)) 2) 1/3) in x 2.344 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ 1.0 (/ 1 x)) 2)))) in x 2.344 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ 1.0 (/ 1 x)) 2))) in x 2.344 * [taylor]: Taking taylor expansion of 1/3 in x 2.344 * [taylor]: Taking taylor expansion of (log (pow (+ 1.0 (/ 1 x)) 2)) in x 2.344 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 2) in x 2.344 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.344 * [taylor]: Taking taylor expansion of 1.0 in x 2.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.344 * [taylor]: Taking taylor expansion of x in x 2.345 * [taylor]: Taking taylor expansion of (pow (pow (+ 1.0 (/ 1 x)) 2) 1/3) in x 2.345 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ 1.0 (/ 1 x)) 2)))) in x 2.345 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ 1.0 (/ 1 x)) 2))) in x 2.345 * [taylor]: Taking taylor expansion of 1/3 in x 2.345 * [taylor]: Taking taylor expansion of (log (pow (+ 1.0 (/ 1 x)) 2)) in x 2.346 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 2) in x 2.346 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.346 * [taylor]: Taking taylor expansion of 1.0 in x 2.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.346 * [taylor]: Taking taylor expansion of x in x 2.378 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 x)) 2) 1/3) in (x) around 0 2.378 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 x)) 2) 1/3) in x 2.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 x)) 2)))) in x 2.378 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 x)) 2))) in x 2.378 * [taylor]: Taking taylor expansion of 1/3 in x 2.378 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 x)) 2)) in x 2.378 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 2.378 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.378 * [taylor]: Taking taylor expansion of 1.0 in x 2.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.378 * [taylor]: Taking taylor expansion of x in x 2.380 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 x)) 2) 1/3) in x 2.380 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 x)) 2)))) in x 2.380 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 x)) 2))) in x 2.380 * [taylor]: Taking taylor expansion of 1/3 in x 2.380 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 x)) 2)) in x 2.380 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 2.380 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.380 * [taylor]: Taking taylor expansion of 1.0 in x 2.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.380 * [taylor]: Taking taylor expansion of x in x 2.408 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 2.408 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in (x) around 0 2.408 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 2.408 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 2.408 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 2.408 * [taylor]: Taking taylor expansion of 1/3 in x 2.408 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 2.408 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.408 * [taylor]: Taking taylor expansion of x in x 2.408 * [taylor]: Taking taylor expansion of 1.0 in x 2.410 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 2.410 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 2.410 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 2.410 * [taylor]: Taking taylor expansion of 1/3 in x 2.410 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 2.410 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.410 * [taylor]: Taking taylor expansion of x in x 2.410 * [taylor]: Taking taylor expansion of 1.0 in x 2.445 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in (x) around 0 2.445 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 2.445 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 2.445 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 2.445 * [taylor]: Taking taylor expansion of 1/3 in x 2.445 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 2.445 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.445 * [taylor]: Taking taylor expansion of 1.0 in x 2.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.445 * [taylor]: Taking taylor expansion of x in x 2.446 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 2.446 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 2.446 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 2.446 * [taylor]: Taking taylor expansion of 1/3 in x 2.446 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 2.446 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.446 * [taylor]: Taking taylor expansion of 1.0 in x 2.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.447 * [taylor]: Taking taylor expansion of x in x 2.472 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in (x) around 0 2.472 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 2.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 2.472 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 2.472 * [taylor]: Taking taylor expansion of 1/3 in x 2.472 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 2.472 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.472 * [taylor]: Taking taylor expansion of 1.0 in x 2.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.472 * [taylor]: Taking taylor expansion of x in x 2.474 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 2.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 2.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 2.474 * [taylor]: Taking taylor expansion of 1/3 in x 2.474 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 2.474 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.474 * [taylor]: Taking taylor expansion of 1.0 in x 2.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.474 * [taylor]: Taking taylor expansion of x in x 2.499 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 2.500 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in (x) around 0 2.500 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 2.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 2.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 2.500 * [taylor]: Taking taylor expansion of 1/3 in x 2.500 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 2.500 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.500 * [taylor]: Taking taylor expansion of x in x 2.500 * [taylor]: Taking taylor expansion of 1.0 in x 2.502 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 2.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 2.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 2.502 * [taylor]: Taking taylor expansion of 1/3 in x 2.502 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 2.502 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.502 * [taylor]: Taking taylor expansion of x in x 2.502 * [taylor]: Taking taylor expansion of 1.0 in x 2.537 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in (x) around 0 2.537 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 2.537 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 2.537 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 2.538 * [taylor]: Taking taylor expansion of 1/3 in x 2.538 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 2.538 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.544 * [taylor]: Taking taylor expansion of 1.0 in x 2.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.544 * [taylor]: Taking taylor expansion of x in x 2.545 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 2.545 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 2.545 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 2.545 * [taylor]: Taking taylor expansion of 1/3 in x 2.545 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 2.545 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.545 * [taylor]: Taking taylor expansion of 1.0 in x 2.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.545 * [taylor]: Taking taylor expansion of x in x 2.565 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in (x) around 0 2.565 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 2.565 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 2.565 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 2.565 * [taylor]: Taking taylor expansion of 1/3 in x 2.565 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 2.565 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.565 * [taylor]: Taking taylor expansion of 1.0 in x 2.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.565 * [taylor]: Taking taylor expansion of x in x 2.567 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 2.567 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 2.567 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 2.567 * [taylor]: Taking taylor expansion of 1/3 in x 2.568 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 2.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.568 * [taylor]: Taking taylor expansion of 1.0 in x 2.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.568 * [taylor]: Taking taylor expansion of x in x 2.594 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 2.595 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in (x) around 0 2.595 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 2.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 2.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 2.595 * [taylor]: Taking taylor expansion of 1/3 in x 2.595 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 2.595 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.595 * [taylor]: Taking taylor expansion of x in x 2.595 * [taylor]: Taking taylor expansion of 1.0 in x 2.597 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 2.597 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 2.597 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 2.597 * [taylor]: Taking taylor expansion of 1/3 in x 2.597 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 2.597 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.597 * [taylor]: Taking taylor expansion of x in x 2.597 * [taylor]: Taking taylor expansion of 1.0 in x 2.638 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in (x) around 0 2.638 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 2.638 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 2.638 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 2.638 * [taylor]: Taking taylor expansion of 1/3 in x 2.638 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 2.638 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.638 * [taylor]: Taking taylor expansion of 1.0 in x 2.638 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.638 * [taylor]: Taking taylor expansion of x in x 2.640 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 2.640 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 2.640 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 2.640 * [taylor]: Taking taylor expansion of 1/3 in x 2.640 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 2.640 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.640 * [taylor]: Taking taylor expansion of 1.0 in x 2.640 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.640 * [taylor]: Taking taylor expansion of x in x 2.660 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in (x) around 0 2.660 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 2.660 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 2.660 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 2.660 * [taylor]: Taking taylor expansion of 1/3 in x 2.660 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 2.660 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.660 * [taylor]: Taking taylor expansion of 1.0 in x 2.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.660 * [taylor]: Taking taylor expansion of x in x 2.662 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 2.662 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 2.662 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 2.662 * [taylor]: Taking taylor expansion of 1/3 in x 2.662 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 2.662 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.662 * [taylor]: Taking taylor expansion of 1.0 in x 2.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.662 * [taylor]: Taking taylor expansion of x in x 2.687 * * * [progress]: simplifying candidates 2.689 * [simplify]: Simplifying using # : (expm1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (log1p (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (+ 1/3 1/3) (+ 1 1) (* (+ x 1.0) (+ x 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ 1 1) (+ (log (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0)))) (log (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (exp (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (+ x 1.0) (+ x 1.0)) (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (* (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (* (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- x 1.0))) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (- x 1.0)) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (- x 1.0)) (cbrt (- x 1.0))) (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0))))) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* 1 1) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* 2 1/3) (* 2 1) (* (cbrt (+ x 1.0)) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (cbrt (+ x 1.0)) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (+ x 1.0)) (cbrt 1)) (* (cbrt (+ x 1.0)) (cbrt 1)) (* (cbrt (+ x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0))))) (* (cbrt (+ x 1.0)) (sqrt (cbrt (+ x 1.0)))) (* (cbrt (+ x 1.0)) 1) (* (cbrt (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (* (sqrt (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (+ x 1.0)) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ x 1.0))) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (+ x 1.0))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt 1) (cbrt (+ x 1.0)) (cbrt 1) (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (* (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt 1) (cbrt (+ x 1.0)) (cbrt 1) (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (* (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt 1) (cbrt (+ x 1.0)) (cbrt 1) (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (* (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (- (+ (* 0.5555555555555556 (* (pow x 2) (pow 1.0 1/3))) (+ (* 0.6666666666666666 (* x (pow 1.0 1/3))) (pow 1.0 1/3))) (* 0.6666666666666666 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (* 0.6666666666666666 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 4)) 1/3))) (- (+ (* 0.6666666666666666 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 4)) 1/3))) (- (+ (* 0.05555555555555555 (* (pow x 2) (pow 1.0 1/3))) (+ (* 0.3333333333333333 (* x (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (* 0.3333333333333333 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))) (- (+ (* 0.05555555555555555 (* (pow x 2) (pow 1.0 1/3))) (+ (* 0.3333333333333333 (* x (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (* 0.3333333333333333 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))) (- (+ (* 0.05555555555555555 (* (pow x 2) (pow 1.0 1/3))) (+ (* 0.3333333333333333 (* x (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (* 0.3333333333333333 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 2.696 * * [simplify]: iteration 0 : 321 enodes (cost 818 ) 2.702 * * [simplify]: iteration 1 : 1071 enodes (cost 769 ) 2.728 * * [simplify]: iteration 2 : 4756 enodes (cost 694 ) 2.843 * * [simplify]: iteration 3 : 5001 enodes (cost 692 ) 2.848 * [simplify]: Simplified to: (expm1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (log1p (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) 2/3 2 (pow (cbrt (+ x 1.0)) 6) (pow (sqrt (cbrt (+ x 1.0))) 4) 2 (* 2 (log (cbrt (+ x 1.0)))) (* 2 (log (cbrt (+ x 1.0)))) (exp (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (pow (cbrt (+ x 1.0)) 6) (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (pow (cbrt (+ x 1.0)) 6) (fabs (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (* (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (* (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- x 1.0))) (* (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- x 1.0))) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (- x 1.0)) (cbrt (- x 1.0))) (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) 1 (pow (sqrt (cbrt (+ x 1.0))) 4) 1 (pow (sqrt (cbrt (+ x 1.0))) 4) 1 (pow (sqrt (cbrt (+ x 1.0))) 4) 1 (pow (sqrt (cbrt (+ x 1.0))) 4) (pow (cbrt (cbrt (+ x 1.0))) 4) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) 1 (pow (sqrt (cbrt (+ x 1.0))) 4) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) 2/3 2 (* (cbrt (+ x 1.0)) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (cbrt (+ x 1.0)) (cbrt (sqrt (+ x 1.0)))) (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) (* (pow (cbrt (cbrt (+ x 1.0))) 4) (cbrt (cbrt (+ x 1.0)))) (pow (sqrt (cbrt (+ x 1.0))) 3) (cbrt (+ x 1.0)) (pow (cbrt (cbrt (+ x 1.0))) 4) (* (cbrt (+ x 1.0)) (cbrt (sqrt (+ x 1.0)))) (pow (sqrt (cbrt (+ x 1.0))) 4) (pow (sqrt (cbrt (+ x 1.0))) 4) (pow (cbrt (cbrt (+ x 1.0))) 4) (pow (sqrt (cbrt (+ x 1.0))) 3) (pow (sqrt (cbrt (+ x 1.0))) 4) (* (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (+ x 1.0)) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (+ x 1.0)) (cbrt (- (* x x) (* 1.0 1.0)))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) 1 (cbrt (+ x 1.0)) 1 (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (+ x 1.0) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) 1 (cbrt (+ x 1.0)) 1 (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (+ x 1.0) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) 1 (cbrt (+ x 1.0)) 1 (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (+ x 1.0) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (fma (pow 1.0 1/3) (fma x 0.6666666666666666 1) (* (pow x 2) (- (* (pow 1.0 1/3) 0.5555555555555556) (* (pow (/ 1 (pow 1.0 5)) 1/3) 0.6666666666666666)))) (fma (pow (/ 1 x) 1/3) 0.6666666666666666 (- (pow (/ 1 x) -2/3) (* 0.1111111111111111 (pow (/ 1 (pow x 4)) 1/3)))) (fma (pow (/ 1 x) 1/3) 0.6666666666666666 (- (pow (/ -1 x) -2/3) (* 0.1111111111111111 (pow (/ 1 (pow x 4)) 1/3)))) (fma (pow 1.0 1/3) (+ (* 0.05555555555555555 (pow x 2)) (* 0.3333333333333333 x)) (- (pow 1.0 1/3) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3))))) (fma (pow (/ 1 (pow x 2)) 1/3) 0.3333333333333333 (- (pow (/ 1 x) -1/3) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3)))) (+ (* (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x) (- 0.3333333333333333 (/ 0.1111111111111111 x))) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (fma (pow 1.0 1/3) (+ (* 0.05555555555555555 (pow x 2)) (* 0.3333333333333333 x)) (- (pow 1.0 1/3) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3))))) (fma (pow (/ 1 (pow x 2)) 1/3) 0.3333333333333333 (- (pow (/ 1 x) -1/3) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3)))) (+ (* (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x) (- 0.3333333333333333 (/ 0.1111111111111111 x))) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (fma (pow 1.0 1/3) (+ (* 0.05555555555555555 (pow x 2)) (* 0.3333333333333333 x)) (- (pow 1.0 1/3) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3))))) (fma (pow (/ 1 (pow x 2)) 1/3) 0.3333333333333333 (- (pow (/ 1 x) -1/3) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3)))) (+ (* (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x) (- 0.3333333333333333 (/ 0.1111111111111111 x))) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) 2.849 * * * [progress]: adding candidates to table 3.155 * [progress]: [Phase 3 of 3] Extracting. 3.155 * * [regime]: Finding splitpoints for: (# # # # # # #) 3.156 * * * [regime-changes]: Trying 2 branch expressions: ((- (sqrt (+ x 1.0)) (sqrt x)) x) 3.156 * * * * [regimes]: Trying to branch on (- (sqrt (+ x 1.0)) (sqrt x)) from (# # # # # # #) 3.183 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 3.210 * * * [regime]: Found split indices: #