0.245 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.028 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.029 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.030 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.031 * * [simplify]: iteration done : 10 enodes (cost 7 ) 0.031 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.038 * * * [progress]: generating rewritten candidates 0.038 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.069 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.077 * * * [progress]: generating series expansions 0.077 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.077 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.077 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.077 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.078 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.081 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.104 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.104 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.104 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.124 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.124 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.124 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.124 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.127 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.127 * [taylor]: Taking taylor expansion of -1 in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.128 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.135 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.135 * [taylor]: Taking taylor expansion of -1 in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.151 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.151 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.152 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.153 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.163 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.165 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.172 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.172 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.172 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.172 * [taylor]: Taking taylor expansion of 1.0 in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.174 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.182 * * * [progress]: simplifying candidates 0.184 * [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)) (* 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2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.189 * * [simplify]: iteration 0 : 137 enodes (cost 1993 ) 0.219 * * [simplify]: iteration 1 : 301 enodes (cost 1467 ) 0.292 * * [simplify]: iteration 2 : 725 enodes (cost 1124 ) 0.699 * * [simplify]: iteration 3 : 2365 enodes (cost 950 ) 1.437 * * [simplify]: iteration done : 5000 enodes (cost 943 ) 1.438 * [simplify]: Simplified to: (- (pow (cbrt (sqrt (+ x 1.0))) 3) (sqrt x)) 0 (fma (- (fabs (cbrt x))) (sqrt (cbrt x)) (pow (cbrt (sqrt (+ x 1.0))) 3)) (* (- (fabs (cbrt x)) (fabs (cbrt x))) (sqrt (cbrt x))) (- (pow (cbrt (sqrt (+ x 1.0))) 3) (sqrt x)) 0 (- (pow (cbrt (sqrt (+ x 1.0))) 3) (sqrt x)) 0 (- (pow (cbrt (sqrt (+ x 1.0))) 3) (sqrt x)) 0 (- (pow (cbrt (sqrt (+ x 1.0))) 3) (sqrt x)) 0 (fma (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (- (sqrt x))) 0 (fma (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (* (- (sqrt (cbrt x))) (fabs (cbrt x)))) (* (- (fabs (cbrt x)) (fabs (cbrt x))) (sqrt (cbrt x))) (fma (fabs (cbrt (+ x 1.0))) 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0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (- (fabs (cbrt x)) (fabs (cbrt x))) (sqrt (cbrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (- (fabs (cbrt x)) (fabs (cbrt x))) (sqrt (cbrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (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)) (+ (+ x 1.0) (fma (sqrt (+ x 1.0)) (sqrt x) x)) (- (sqrt x)) (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))) (+ (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 (fma x x (* 1.0 (- 1.0 x)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (fma -1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0))) (* x (- +nan.0 (* +nan.0 x)))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (fma -1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) 1.439 * * * [progress]: adding candidates to table 1.579 * * [progress]: iteration 2 / 4 1.579 * * * [progress]: picking best candidate 1.584 * * * * [pick]: Picked # 1.584 * * * [progress]: localizing error 1.592 * * * [progress]: generating rewritten candidates 1.592 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.619 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.630 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 1.638 * * * [progress]: generating series expansions 1.638 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.639 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.639 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.639 * [taylor]: Taking taylor expansion of 1.0 in x 1.639 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.639 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.639 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.639 * [taylor]: Taking taylor expansion of x in x 1.639 * [taylor]: Taking taylor expansion of 1.0 in x 1.641 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.643 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.643 * [taylor]: Taking taylor expansion of 1.0 in x 1.643 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.643 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.643 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.643 * [taylor]: Taking taylor expansion of x in x 1.644 * [taylor]: Taking taylor expansion of 1.0 in x 1.645 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.645 * [taylor]: Taking taylor expansion of x in x 1.726 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.726 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.726 * [taylor]: Taking taylor expansion of 1.0 in x 1.726 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.726 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.726 * [taylor]: Taking taylor expansion of x in x 1.727 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.727 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.727 * [taylor]: Taking taylor expansion of 1.0 in x 1.727 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.727 * [taylor]: Taking taylor expansion of x in x 1.730 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.730 * [taylor]: Taking taylor expansion of 1.0 in x 1.730 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.730 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.730 * [taylor]: Taking taylor expansion of x in x 1.731 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.731 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.731 * [taylor]: Taking taylor expansion of 1.0 in x 1.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.731 * [taylor]: Taking taylor expansion of x in x 1.759 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in (x) around 0 1.759 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 1.759 * [taylor]: Taking taylor expansion of 1.0 in x 1.759 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 1.759 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.759 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.759 * [taylor]: Taking taylor expansion of 1.0 in x 1.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.759 * [taylor]: Taking taylor expansion of x in x 1.761 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.761 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.761 * [taylor]: Taking taylor expansion of -1 in x 1.761 * [taylor]: Taking taylor expansion of x in x 1.763 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 1.763 * [taylor]: Taking taylor expansion of 1.0 in x 1.763 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 1.763 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.763 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.764 * [taylor]: Taking taylor expansion of 1.0 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 x)) in x 1.765 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.765 * [taylor]: Taking taylor expansion of -1 in x 1.765 * [taylor]: Taking taylor expansion of x in x 1.787 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.787 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 1.787 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.787 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.787 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.787 * [taylor]: Taking taylor expansion of x in x 1.787 * [taylor]: Taking taylor expansion of 1.0 in x 1.789 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.789 * [taylor]: Taking taylor expansion of x in x 1.790 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.790 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.790 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.790 * [taylor]: Taking taylor expansion of x in x 1.790 * [taylor]: Taking taylor expansion of 1.0 in x 1.791 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.791 * [taylor]: Taking taylor expansion of x in x 1.811 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 1.811 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.811 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.811 * [taylor]: Taking taylor expansion of x in x 1.812 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.812 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.812 * [taylor]: Taking taylor expansion of 1.0 in x 1.812 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.812 * [taylor]: Taking taylor expansion of x in x 1.814 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.814 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.814 * [taylor]: Taking taylor expansion of x in x 1.821 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.821 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.821 * [taylor]: Taking taylor expansion of 1.0 in x 1.821 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.821 * [taylor]: Taking taylor expansion of x in x 1.836 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 1.836 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 1.836 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.836 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.836 * [taylor]: Taking taylor expansion of 1.0 in x 1.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.836 * [taylor]: Taking taylor expansion of x in x 1.838 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.838 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.838 * [taylor]: Taking taylor expansion of -1 in x 1.838 * [taylor]: Taking taylor expansion of x in x 1.839 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 1.839 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.839 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.839 * [taylor]: Taking taylor expansion of 1.0 in x 1.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.839 * [taylor]: Taking taylor expansion of x in x 1.841 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.841 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.841 * [taylor]: Taking taylor expansion of -1 in x 1.841 * [taylor]: Taking taylor expansion of x in x 1.857 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 1.857 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 1.857 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.857 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.857 * [taylor]: Taking taylor expansion of x in x 1.857 * [taylor]: Taking taylor expansion of 1.0 in x 1.859 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.859 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.859 * [taylor]: Taking taylor expansion of x in x 1.859 * [taylor]: Taking taylor expansion of 1.0 in x 1.868 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 1.868 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.868 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.868 * [taylor]: Taking taylor expansion of 1.0 in x 1.868 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.868 * [taylor]: Taking taylor expansion of x in x 1.870 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.870 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.870 * [taylor]: Taking taylor expansion of 1.0 in x 1.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.870 * [taylor]: Taking taylor expansion of x in x 1.877 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.877 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.877 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.877 * [taylor]: Taking taylor expansion of 1.0 in x 1.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.877 * [taylor]: Taking taylor expansion of x in x 1.879 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.879 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.879 * [taylor]: Taking taylor expansion of 1.0 in x 1.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.879 * [taylor]: Taking taylor expansion of x in x 1.887 * * * [progress]: simplifying candidates 1.889 * [simplify]: Simplifying using # : (expm1 (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))))) (log1p (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))))) (- (log (+ 1.0 0)) (log (+ (sqrt x) (sqrt (+ x 1.0))))) (log (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))))) (exp (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (+ (sqrt x) (sqrt (+ x 1.0))) (+ (sqrt x) (sqrt (+ x 1.0)))) (+ (sqrt x) (sqrt (+ x 1.0))))) (* (cbrt (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))))) (cbrt (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0)))))) (cbrt (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))))) (* (* (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))))) (- (+ 1.0 0)) (- (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (sqrt (+ 1.0 0)) (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (/ (sqrt (+ 1.0 0)) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (/ (+ 1.0 0) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (+ 1.0 0) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (/ (+ 1.0 0) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (+ 1.0 0) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (+ (sqrt x) (sqrt (+ x 1.0))) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (/ (+ 1.0 0) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (+ 1.0 0) 1) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) 1) (/ (+ (sqrt x) (sqrt (+ x 1.0))) (cbrt (+ 1.0 0))) (/ (+ (sqrt x) (sqrt (+ x 1.0))) (sqrt (+ 1.0 0))) (/ (+ (sqrt x) (sqrt (+ x 1.0))) (+ 1.0 0)) (/ (+ (sqrt x) (sqrt (+ x 1.0))) (+ 1.0 0)) (/ (+ 1.0 0) (+ (pow (sqrt x) 3) (pow (sqrt (+ x 1.0)) 3))) (/ (+ 1.0 0) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))) (* (+ (sqrt x) (sqrt (+ x 1.0))) (+ (* 1.0 1.0) (- (* 0 0) (* 1.0 0)))) (* (+ (sqrt x) (sqrt (+ x 1.0))) (- 1.0 0)) (expm1 (+ (sqrt x) (sqrt (+ x 1.0)))) (log1p (+ (sqrt x) (sqrt (+ x 1.0)))) (* (exp (sqrt x)) (exp (sqrt (+ x 1.0)))) (log (+ (sqrt x) (sqrt (+ x 1.0)))) (exp (+ (sqrt x) (sqrt (+ x 1.0)))) (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (cbrt (+ (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 (+ (sqrt x) (sqrt (+ x 1.0)))) (sqrt (+ (sqrt x) (sqrt (+ x 1.0)))) (+ (pow (sqrt x) 3) (pow (sqrt (+ x 1.0)) 3)) (+ (* (sqrt x) (sqrt x)) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt (+ x 1.0))))) (- (* (sqrt x) (sqrt x)) (* (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) (sqrt (+ x 1.0))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (* 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))))) 1.894 * * [simplify]: iteration 0 : 169 enodes (cost 1453 ) 1.942 * * [simplify]: iteration 1 : 411 enodes (cost 1200 ) 2.084 * * [simplify]: iteration 2 : 1105 enodes (cost 1098 ) 2.725 * * [simplify]: iteration 3 : 3707 enodes (cost 1079 ) 3.995 * * [simplify]: iteration done : 5001 enodes (cost 1079 ) 3.996 * [simplify]: Simplified to: (expm1 (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (log1p (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (log (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (log (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (exp (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (pow (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) 3) (* (cbrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (cbrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))))) (cbrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (pow (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) 3) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (- 1.0) (- (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (/ (cbrt 1.0) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (cbrt 1.0) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (/ (sqrt 1.0) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (sqrt 1.0) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (sqrt 1.0) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (sqrt 1.0) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (/ 1.0 (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ 1.0 (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) 1 (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 1) (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 1) (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) 1 (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (/ 1.0 (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ 1.0 (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) 1 (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 1) (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 1) (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) 1 (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (+ (sqrt x) (sqrt (+ x 1.0))) 1.0) (/ 1.0 (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (/ 1.0 (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) 1.0 1.0 1.0 1.0 (/ (+ (sqrt x) (sqrt (+ x 1.0))) (cbrt 1.0)) (/ (+ (sqrt x) (sqrt (+ x 1.0))) (sqrt 1.0)) (/ (+ (sqrt x) (sqrt (+ x 1.0))) 1.0) (/ (+ (sqrt x) (sqrt (+ x 1.0))) 1.0) (/ 1.0 (fma (sqrt x) x (pow (sqrt (+ x 1.0)) 3))) (/ 1.0 (- 1.0)) (* (* 1.0 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))) (* (+ (sqrt x) (sqrt (+ x 1.0))) 1.0) (expm1 (+ (sqrt x) (sqrt (+ x 1.0)))) (log1p (+ (sqrt x) (sqrt (+ x 1.0)))) (exp (+ (sqrt x) (sqrt (+ x 1.0)))) (log (+ (sqrt x) (sqrt (+ x 1.0)))) (exp (+ (sqrt x) (sqrt (+ x 1.0)))) (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (pow (+ (sqrt x) (sqrt (+ x 1.0))) 3) (sqrt (+ (sqrt x) (sqrt (+ x 1.0)))) (sqrt (+ (sqrt x) (sqrt (+ x 1.0)))) (fma (sqrt x) x (pow (sqrt (+ x 1.0)) 3)) (+ (- (+ x 1.0) (* (sqrt x) (sqrt (+ x 1.0)))) x) (- 1.0) (- (sqrt x) (sqrt (+ x 1.0))) (+ (sqrt x) (sqrt (+ x 1.0))) (+ (sqrt x) (sqrt (+ x 1.0))) (+ (sqrt x) (sqrt (+ x 1.0))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (hypot (pow x 3/2) (pow 1.0 3/2)) (sqrt (fma x x (* 1.0 (- 1.0 x)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (- (fma 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0))) (fma +nan.0 (/ (* x x) 1.0) (* 0.5 (/ x (pow (sqrt 1.0) 3))))) (* (/ (* x x) 1.0) (+ (/ +nan.0 (sqrt 1.0)) (/ +nan.0 1.0)))) (* +nan.0 (/ x 1.0))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (+ (fma (/ (pow x 2) (pow (sqrt 1.0) 3)) -1/8 (fma (/ x (sqrt 1.0)) 1/2 (sqrt 1.0))) (* x (- +nan.0 (* +nan.0 x)))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (fma (/ (pow x 2) (pow (sqrt 1.0) 3)) -1/8 (fma (/ x (sqrt 1.0)) 1/2 (sqrt 1.0))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) 3.997 * * * [progress]: adding candidates to table 4.208 * * [progress]: iteration 3 / 4 4.208 * * * [progress]: picking best candidate 4.223 * * * * [pick]: Picked # 4.223 * * * [progress]: localizing error 4.233 * * * [progress]: generating rewritten candidates 4.233 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 4.261 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 4.273 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2) 4.277 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 4.289 * * * [progress]: generating series expansions 4.289 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 4.293 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 4.293 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.293 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.293 * [taylor]: Taking taylor expansion of x in x 4.293 * [taylor]: Taking taylor expansion of 1.0 in x 4.296 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.296 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.296 * [taylor]: Taking taylor expansion of x in x 4.296 * [taylor]: Taking taylor expansion of 1.0 in x 4.305 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 4.305 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.305 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.305 * [taylor]: Taking taylor expansion of 1.0 in x 4.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.305 * [taylor]: Taking taylor expansion of x in x 4.307 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.307 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.307 * [taylor]: Taking taylor expansion of 1.0 in x 4.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.307 * [taylor]: Taking taylor expansion of x in x 4.314 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 4.314 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.314 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.314 * [taylor]: Taking taylor expansion of 1.0 in x 4.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.314 * [taylor]: Taking taylor expansion of x in x 4.316 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.316 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.316 * [taylor]: Taking taylor expansion of 1.0 in x 4.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.316 * [taylor]: Taking taylor expansion of x in x 4.324 * * * * [progress]: [ 2 / 4 ] generating series at (2) 4.325 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 4.325 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 4.325 * [taylor]: Taking taylor expansion of 1.0 in x 4.325 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 4.325 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.325 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.325 * [taylor]: Taking taylor expansion of x in x 4.325 * [taylor]: Taking taylor expansion of 1.0 in x 4.327 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.327 * [taylor]: Taking taylor expansion of x in x 4.329 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 4.329 * [taylor]: Taking taylor expansion of 1.0 in x 4.329 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 4.329 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.329 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.329 * [taylor]: Taking taylor expansion of x in x 4.329 * [taylor]: Taking taylor expansion of 1.0 in x 4.330 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.331 * [taylor]: Taking taylor expansion of x in x 4.411 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 4.412 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 4.412 * [taylor]: Taking taylor expansion of 1.0 in x 4.412 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 4.412 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.412 * [taylor]: Taking taylor expansion of x in x 4.413 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.413 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.413 * [taylor]: Taking taylor expansion of 1.0 in x 4.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.413 * [taylor]: Taking taylor expansion of x in x 4.416 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 4.416 * [taylor]: Taking taylor expansion of 1.0 in x 4.416 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 4.416 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.416 * [taylor]: Taking taylor expansion of x in x 4.417 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.417 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.417 * [taylor]: Taking taylor expansion of 1.0 in x 4.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.417 * [taylor]: Taking taylor expansion of x in x 4.438 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in (x) around 0 4.438 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 4.438 * [taylor]: Taking taylor expansion of 1.0 in x 4.438 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 4.438 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.438 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.438 * [taylor]: Taking taylor expansion of 1.0 in x 4.439 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.439 * [taylor]: Taking taylor expansion of x in x 4.440 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.440 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.440 * [taylor]: Taking taylor expansion of -1 in x 4.440 * [taylor]: Taking taylor expansion of x in x 4.443 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 4.443 * [taylor]: Taking taylor expansion of 1.0 in x 4.443 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 4.443 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.443 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.443 * [taylor]: Taking taylor expansion of 1.0 in x 4.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.443 * [taylor]: Taking taylor expansion of x in x 4.444 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.444 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.445 * [taylor]: Taking taylor expansion of -1 in x 4.445 * [taylor]: Taking taylor expansion of x in x 4.469 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2) 4.469 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 4.469 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 4.470 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 4.470 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 4.470 * [taylor]: Taking taylor expansion of 1/4 in x 4.470 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 4.470 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.470 * [taylor]: Taking taylor expansion of x in x 4.470 * [taylor]: Taking taylor expansion of 1.0 in x 4.472 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 4.472 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 4.472 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 4.472 * [taylor]: Taking taylor expansion of 1/4 in x 4.472 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 4.472 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.472 * [taylor]: Taking taylor expansion of x in x 4.472 * [taylor]: Taking taylor expansion of 1.0 in x 4.506 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 4.506 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 4.506 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 4.506 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 4.506 * [taylor]: Taking taylor expansion of 1/4 in x 4.506 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 4.506 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.506 * [taylor]: Taking taylor expansion of 1.0 in x 4.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.506 * [taylor]: Taking taylor expansion of x in x 4.507 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 4.507 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 4.507 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 4.507 * [taylor]: Taking taylor expansion of 1/4 in x 4.507 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 4.507 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.507 * [taylor]: Taking taylor expansion of 1.0 in x 4.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.508 * [taylor]: Taking taylor expansion of x in x 4.531 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 4.531 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 4.531 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 4.531 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 4.531 * [taylor]: Taking taylor expansion of 1/4 in x 4.531 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 4.531 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.531 * [taylor]: Taking taylor expansion of 1.0 in x 4.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.531 * [taylor]: Taking taylor expansion of x in x 4.533 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 4.533 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 4.533 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 4.533 * [taylor]: Taking taylor expansion of 1/4 in x 4.533 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 4.533 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.533 * [taylor]: Taking taylor expansion of 1.0 in x 4.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.533 * [taylor]: Taking taylor expansion of x in x 4.558 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 4.558 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 4.558 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 4.558 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 4.558 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 4.558 * [taylor]: Taking taylor expansion of 1/4 in x 4.559 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 4.559 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.559 * [taylor]: Taking taylor expansion of x in x 4.559 * [taylor]: Taking taylor expansion of 1.0 in x 4.561 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 4.561 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 4.561 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 4.561 * [taylor]: Taking taylor expansion of 1/4 in x 4.561 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 4.561 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.561 * [taylor]: Taking taylor expansion of x in x 4.561 * [taylor]: Taking taylor expansion of 1.0 in x 4.596 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 4.596 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 4.596 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 4.596 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 4.596 * [taylor]: Taking taylor expansion of 1/4 in x 4.596 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 4.596 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.596 * [taylor]: Taking taylor expansion of 1.0 in x 4.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.596 * [taylor]: Taking taylor expansion of x in x 4.597 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 4.597 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 4.597 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 4.597 * [taylor]: Taking taylor expansion of 1/4 in x 4.597 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 4.597 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.597 * [taylor]: Taking taylor expansion of 1.0 in x 4.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.598 * [taylor]: Taking taylor expansion of x in x 4.619 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 4.620 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 4.620 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 4.620 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 4.620 * [taylor]: Taking taylor expansion of 1/4 in x 4.620 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 4.620 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.620 * [taylor]: Taking taylor expansion of 1.0 in x 4.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.620 * [taylor]: Taking taylor expansion of x in x 4.622 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 4.622 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 4.622 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 4.622 * [taylor]: Taking taylor expansion of 1/4 in x 4.622 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 4.622 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.622 * [taylor]: Taking taylor expansion of 1.0 in x 4.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.622 * [taylor]: Taking taylor expansion of x in x 4.647 * * * [progress]: simplifying candidates 4.650 * [simplify]: Simplifying using # : (expm1 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (log1p (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (+ x 1.0) (+ x 1.0)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (+ x 1.0) (+ x 1.0)) (+ 1 1) (+ (log (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0))))) (log (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (exp (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (* (* 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x 1.0)))) (* (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3))))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))) (* (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (- (* x x) (* 1.0 1.0))))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt (- x 1.0)))) (* (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0)))))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (sqrt (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (* (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (cbrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (* (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (cbrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) 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1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ x 1.0))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0)))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt 1)) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ x 1.0))) 1) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (- (* x x) (* 1.0 1.0))))) (* (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (+ x 1.0)))) (expm1 (/ (+ 1.0 0) (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (log1p (/ (+ 1.0 0) (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (- (log (+ 1.0 0)) (log (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (log (/ (+ 1.0 0) (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (exp (/ (+ 1.0 0) (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (* (cbrt (/ (+ 1.0 0) (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (cbrt (/ (+ 1.0 0) (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))))) (cbrt (/ (+ 1.0 0) (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (* (* (/ (+ 1.0 0) (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (/ (+ 1.0 0) (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (/ (+ 1.0 0) (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (sqrt (/ (+ 1.0 0) (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (sqrt (/ (+ 1.0 0) (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (- (+ 1.0 0)) (- (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (cbrt (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ 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(sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (cbrt (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))))) (/ (+ 1.0 0) (sqrt (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (/ (+ 1.0 0) 1) (/ (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (cbrt (+ 1.0 0))) (/ (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (sqrt (+ 1.0 0))) (/ (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (+ 1.0 0)) (/ (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (+ 1.0 0)) (/ (+ 1.0 0) (+ (pow (sqrt x) 3) (pow (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) 3))) (/ (+ 1.0 0) (- (* (sqrt x) (sqrt x)) (* (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (* (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (+ (* 1.0 1.0) (- (* 0 0) (* 1.0 0)))) (* (+ (sqrt x) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (- 1.0 0)) (expm1 (sqrt (sqrt (+ x 1.0)))) (log1p (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) (exp (sqrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (cbrt (sqrt (sqrt (+ x 1.0)))) (* (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (sqrt (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt 1)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt 1) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (- x 1.0))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (expm1 (sqrt (sqrt (+ x 1.0)))) (log1p (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) (exp (sqrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (cbrt (sqrt (sqrt (+ x 1.0)))) (* (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (sqrt (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt 1)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt 1) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (- x 1.0))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (- (+ (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))))) (- (+ (* 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))))) (- (+ (* 0.25 (* x (pow 1.0 1/4))) (+ (* 0.03125 (* (pow x 2) (pow 1.0 1/4))) (pow 1.0 1/4))) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)))) (- (+ (* 0.25 (pow (/ 1 (pow x 3)) 1/4)) (pow (/ 1 x) -1/4)) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) (- (+ (* 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2)))) (- (+ (* 0.25 (* x (pow 1.0 1/4))) (+ (* 0.03125 (* (pow x 2) (pow 1.0 1/4))) (pow 1.0 1/4))) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)))) (- (+ (* 0.25 (pow (/ 1 (pow x 3)) 1/4)) (pow (/ 1 x) -1/4)) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) (- (+ (* 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 4.660 * * [simplify]: iteration 0 : 266 enodes (cost 3296 ) 4.742 * * [simplify]: iteration 1 : 594 enodes (cost 1975 ) 4.938 * * [simplify]: iteration 2 : 1649 enodes (cost 1851 ) 5.404 * * [simplify]: iteration done : 5000 enodes (cost 1815 ) 5.406 * [simplify]: Simplified to: (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (+ x 1.0) (sqrt (+ x 1.0)) (* (+ x 1.0) (+ x 1.0)) (+ x 1.0) (* (+ x 1.0) (+ x 1.0)) 2 (log (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (+ x 1.0) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (hypot (pow x 3/2) (pow 1.0 3/2)) (sqrt (fma x x (* 1.0 (- 1.0 x)))) (* (sqrt (hypot (pow x 3/2) (pow 1.0 3/2))) (sqrt (sqrt (- (* x x) (* 1.0 1.0))))) (* (sqrt (sqrt (fma x x (* 1.0 (- 1.0 x))))) (sqrt (sqrt (- x 1.0)))) (* (sqrt (hypot (pow x 3/2) (pow 1.0 3/2))) (sqrt (sqrt (- (* x x) (* 1.0 1.0))))) (* (sqrt (sqrt (fma x x (* 1.0 (- 1.0 x))))) (sqrt (sqrt (- x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (pow (cbrt (sqrt (sqrt (+ x 1.0)))) 3)) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 2 1/2 1 1/2 (* (sqrt (sqrt (+ x 1.0))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0)))))) (* (fabs (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (fabs (cbrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (* (sqrt 1) (sqrt (sqrt (+ x 1.0)))) (* (sqrt 1) (sqrt (sqrt (+ x 1.0)))) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (sqrt (+ x 1.0))) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (sqrt (+ x 1.0))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (+ x 1.0)) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (+ x 1.0)) (* (sqrt (sqrt (+ x 1.0))) (sqrt (hypot (pow x 3/2) (pow 1.0 3/2)))) (* (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (hypot (pow x 3/2) (pow 1.0 3/2)))) (* (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (+ x 1.0)))) (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (* (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (- 1.0) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (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))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ 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 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1.0 (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (fma (sqrt x) x (pow (sqrt (+ x 1.0)) 3))) (/ 1.0 (- x (+ x 1.0))) (* (* 1.0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (expm1 (sqrt (sqrt (+ x 1.0)))) (log1p (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) (exp (sqrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (cbrt (sqrt (sqrt (+ x 1.0)))) (pow (sqrt (sqrt (+ x 1.0))) 3) (fabs (cbrt (sqrt (+ x 1.0)))) (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (fabs (cbrt (+ x 1.0)))) (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt 1) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (hypot (pow x 3/2) (pow 1.0 3/2))) (sqrt (sqrt (fma x x (* 1.0 (- 1.0 x))))) (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (- x 1.0))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (expm1 (sqrt (sqrt (+ x 1.0)))) (log1p (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) (exp (sqrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (cbrt (sqrt (sqrt (+ x 1.0)))) (pow (sqrt (sqrt (+ x 1.0))) 3) (fabs (cbrt (sqrt (+ x 1.0)))) (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (fabs (cbrt (+ x 1.0)))) (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt 1) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (hypot (pow x 3/2) (pow 1.0 3/2))) (sqrt (sqrt (fma x x (* 1.0 (- 1.0 x))))) (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (- x 1.0))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (+ (fma 1/2 (/ x (sqrt 1.0)) (* (/ (pow x 2) (pow (sqrt 1.0) 3)) -1/8)) (sqrt 1.0)) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (+ (- (fma 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0))) (fma (/ (* x x) 1.0) +nan.0 (* 0.5 (/ x (pow (sqrt 1.0) 3))))) (* (/ (* x x) 1.0) (+ (/ +nan.0 (sqrt 1.0)) (/ +nan.0 1.0)))) (/ (* +nan.0 x) 1.0)) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (+ (* (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)) -1/8) (* (pow 1.0 1/4) (+ (+ (* 0.03125 (* x x)) 1) (* 0.25 x)))) (- (fma 0.25 (pow (/ 1 (pow x 3)) 1/4) (pow (/ 1 x) -1/4)) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) (+ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (* (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x) (- 0.25 (/ 0.09375 x)))) (+ (* (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)) -1/8) (* (pow 1.0 1/4) (+ (+ (* 0.03125 (* x x)) 1) (* 0.25 x)))) (- (fma 0.25 (pow (/ 1 (pow x 3)) 1/4) (pow (/ 1 x) -1/4)) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) (+ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (* (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x) (- 0.25 (/ 0.09375 x)))) 5.407 * * * [progress]: adding candidates to table 5.791 * * [progress]: iteration 4 / 4 5.791 * * * [progress]: picking best candidate 5.805 * * * * [pick]: Picked # 5.805 * * * [progress]: localizing error 5.821 * * * [progress]: generating rewritten candidates 5.821 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 5.823 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1) 5.825 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 5.840 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 5.855 * * * [progress]: generating series expansions 5.855 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 5.855 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in (x) around 0 5.855 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 5.855 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 5.855 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 5.855 * [taylor]: Taking taylor expansion of 1/3 in x 5.855 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 5.855 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.855 * [taylor]: Taking taylor expansion of x in x 5.855 * [taylor]: Taking taylor expansion of 1.0 in x 5.858 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 5.858 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 5.858 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 5.858 * [taylor]: Taking taylor expansion of 1/3 in x 5.858 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 5.858 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.858 * [taylor]: Taking taylor expansion of x in x 5.858 * [taylor]: Taking taylor expansion of 1.0 in x 5.899 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in (x) around 0 5.899 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 5.899 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 5.899 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 5.899 * [taylor]: Taking taylor expansion of 1/3 in x 5.899 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 5.899 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.899 * [taylor]: Taking taylor expansion of 1.0 in x 5.899 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.899 * [taylor]: Taking taylor expansion of x in x 5.900 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 5.900 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 5.900 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 5.901 * [taylor]: Taking taylor expansion of 1/3 in x 5.901 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 5.901 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.901 * [taylor]: Taking taylor expansion of 1.0 in x 5.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.901 * [taylor]: Taking taylor expansion of x in x 5.920 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in (x) around 0 5.920 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 5.920 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 5.920 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 5.920 * [taylor]: Taking taylor expansion of 1/3 in x 5.920 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 5.920 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.920 * [taylor]: Taking taylor expansion of 1.0 in x 5.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.920 * [taylor]: Taking taylor expansion of x in x 5.922 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 5.922 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 5.922 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 5.922 * [taylor]: Taking taylor expansion of 1/3 in x 5.922 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 5.922 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.922 * [taylor]: Taking taylor expansion of 1.0 in x 5.922 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.922 * [taylor]: Taking taylor expansion of x in x 5.948 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1) 5.948 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in (x) around 0 5.948 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 5.948 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 5.948 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 5.948 * [taylor]: Taking taylor expansion of 1/3 in x 5.948 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 5.948 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.948 * [taylor]: Taking taylor expansion of x in x 5.948 * [taylor]: Taking taylor expansion of 1.0 in x 5.951 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 5.951 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 5.951 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 5.951 * [taylor]: Taking taylor expansion of 1/3 in x 5.951 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 5.951 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.951 * [taylor]: Taking taylor expansion of x in x 5.951 * [taylor]: Taking taylor expansion of 1.0 in x 5.992 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in (x) around 0 5.992 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 5.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 5.992 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 5.992 * [taylor]: Taking taylor expansion of 1/3 in x 5.992 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 5.992 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.992 * [taylor]: Taking taylor expansion of 1.0 in x 5.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.992 * [taylor]: Taking taylor expansion of x in x 5.993 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 5.993 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 5.994 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 5.994 * [taylor]: Taking taylor expansion of 1/3 in x 5.994 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 5.994 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.994 * [taylor]: Taking taylor expansion of 1.0 in x 5.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.994 * [taylor]: Taking taylor expansion of x in x 6.013 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in (x) around 0 6.013 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 6.013 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 6.013 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 6.013 * [taylor]: Taking taylor expansion of 1/3 in x 6.013 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 6.013 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.013 * [taylor]: Taking taylor expansion of 1.0 in x 6.013 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.013 * [taylor]: Taking taylor expansion of x in x 6.015 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 6.015 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 6.015 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 6.015 * [taylor]: Taking taylor expansion of 1/3 in x 6.015 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 6.015 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.015 * [taylor]: Taking taylor expansion of 1.0 in x 6.015 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.015 * [taylor]: Taking taylor expansion of x in x 6.041 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 6.041 * [approximate]: Taking taylor expansion of (* (fabs (pow (+ x 1.0) 1/3)) (pow (+ x 1.0) 1/6)) in (x) around 0 6.041 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ x 1.0) 1/3)) (pow (+ x 1.0) 1/6)) in x 6.041 * [taylor]: Taking taylor expansion of (fabs (pow (+ x 1.0) 1/3)) in x 6.041 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in x 6.041 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ x 1.0)))) in x 6.041 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ x 1.0))) in x 6.041 * [taylor]: Taking taylor expansion of 1/6 in x 6.041 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 6.041 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.041 * [taylor]: Taking taylor expansion of x in x 6.041 * [taylor]: Taking taylor expansion of 1.0 in x 6.043 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ x 1.0) 1/3)) (pow (+ x 1.0) 1/6)) in x 6.043 * [taylor]: Taking taylor expansion of (fabs (pow (+ x 1.0) 1/3)) in x 6.043 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in x 6.043 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ x 1.0)))) in x 6.043 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ x 1.0))) in x 6.043 * [taylor]: Taking taylor expansion of 1/6 in x 6.044 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 6.044 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.044 * [taylor]: Taking taylor expansion of x in x 6.044 * [taylor]: Taking taylor expansion of 1.0 in x 6.088 * [approximate]: Taking taylor expansion of (* (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) (pow (+ 1.0 (/ 1 x)) 1/6)) in (x) around 0 6.088 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) (pow (+ 1.0 (/ 1 x)) 1/6)) in x 6.088 * [taylor]: Taking taylor expansion of (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) in x 6.088 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/6) in x 6.088 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1.0 (/ 1 x))))) in x 6.088 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1.0 (/ 1 x)))) in x 6.088 * [taylor]: Taking taylor expansion of 1/6 in x 6.088 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 6.088 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 6.088 * [taylor]: Taking taylor expansion of 1.0 in x 6.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.088 * [taylor]: Taking taylor expansion of x in x 6.090 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) (pow (+ 1.0 (/ 1 x)) 1/6)) in x 6.090 * [taylor]: Taking taylor expansion of (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) in x 6.090 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/6) in x 6.090 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1.0 (/ 1 x))))) in x 6.090 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1.0 (/ 1 x)))) in x 6.090 * [taylor]: Taking taylor expansion of 1/6 in x 6.090 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 6.090 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 6.090 * [taylor]: Taking taylor expansion of 1.0 in x 6.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.090 * [taylor]: Taking taylor expansion of x in x 6.112 * [approximate]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/6) (fabs (pow (- 1.0 (/ 1 x)) 1/3))) in (x) around 0 6.112 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/6) (fabs (pow (- 1.0 (/ 1 x)) 1/3))) in x 6.112 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in x 6.112 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 x))))) in x 6.112 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 x)))) in x 6.112 * [taylor]: Taking taylor expansion of 1/6 in x 6.112 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 6.112 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.112 * [taylor]: Taking taylor expansion of 1.0 in x 6.112 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.112 * [taylor]: Taking taylor expansion of x in x 6.114 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 x)) 1/3)) in x 6.114 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/6) (fabs (pow (- 1.0 (/ 1 x)) 1/3))) in x 6.114 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in x 6.114 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 x))))) in x 6.114 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 x)))) in x 6.114 * [taylor]: Taking taylor expansion of 1/6 in x 6.115 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 6.115 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.115 * [taylor]: Taking taylor expansion of 1.0 in x 6.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.115 * [taylor]: Taking taylor expansion of x in x 6.117 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 x)) 1/3)) in x 6.144 * * * * [progress]: [ 4 / 4 ] generating series at (2) 6.144 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt x) (* (fabs (pow (+ x 1.0) 1/3)) (pow (+ x 1.0) 1/6)))) in (x) around 0 6.144 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt x) (* (fabs (pow (+ x 1.0) 1/3)) (pow (+ x 1.0) 1/6)))) in x 6.144 * [taylor]: Taking taylor expansion of 1.0 in x 6.144 * [taylor]: Taking taylor expansion of (+ (sqrt x) (* (fabs (pow (+ x 1.0) 1/3)) (pow (+ x 1.0) 1/6))) in x 6.144 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.145 * [taylor]: Taking taylor expansion of x in x 6.151 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ x 1.0) 1/3)) (pow (+ x 1.0) 1/6)) in x 6.152 * [taylor]: Taking taylor expansion of (fabs (pow (+ x 1.0) 1/3)) in x 6.152 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in x 6.152 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ x 1.0)))) in x 6.152 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ x 1.0))) in x 6.152 * [taylor]: Taking taylor expansion of 1/6 in x 6.152 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 6.152 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.152 * [taylor]: Taking taylor expansion of x in x 6.152 * [taylor]: Taking taylor expansion of 1.0 in x 6.155 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt x) (* (fabs (pow (+ x 1.0) 1/3)) (pow (+ x 1.0) 1/6)))) in x 6.155 * [taylor]: Taking taylor expansion of 1.0 in x 6.155 * [taylor]: Taking taylor expansion of (+ (sqrt x) (* (fabs (pow (+ x 1.0) 1/3)) (pow (+ x 1.0) 1/6))) in x 6.155 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.155 * [taylor]: Taking taylor expansion of x in x 6.157 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ x 1.0) 1/3)) (pow (+ x 1.0) 1/6)) in x 6.157 * [taylor]: Taking taylor expansion of (fabs (pow (+ x 1.0) 1/3)) in x 6.157 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in x 6.157 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ x 1.0)))) in x 6.157 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ x 1.0))) in x 6.157 * [taylor]: Taking taylor expansion of 1/6 in x 6.157 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 6.157 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.157 * [taylor]: Taking taylor expansion of x in x 6.157 * [taylor]: Taking taylor expansion of 1.0 in x 6.215 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (* (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) (pow (+ 1.0 (/ 1 x)) 1/6)))) in (x) around 0 6.215 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (* (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) (pow (+ 1.0 (/ 1 x)) 1/6)))) in x 6.215 * [taylor]: Taking taylor expansion of 1.0 in x 6.215 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (* (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) (pow (+ 1.0 (/ 1 x)) 1/6))) in x 6.215 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 6.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.215 * [taylor]: Taking taylor expansion of x in x 6.217 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) (pow (+ 1.0 (/ 1 x)) 1/6)) in x 6.217 * [taylor]: Taking taylor expansion of (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) in x 6.217 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/6) in x 6.217 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1.0 (/ 1 x))))) in x 6.217 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1.0 (/ 1 x)))) in x 6.217 * [taylor]: Taking taylor expansion of 1/6 in x 6.217 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 6.217 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 6.217 * [taylor]: Taking taylor expansion of 1.0 in x 6.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.217 * [taylor]: Taking taylor expansion of x in x 6.219 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (* (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) (pow (+ 1.0 (/ 1 x)) 1/6)))) in x 6.219 * [taylor]: Taking taylor expansion of 1.0 in x 6.219 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (* (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) (pow (+ 1.0 (/ 1 x)) 1/6))) in x 6.219 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 6.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.219 * [taylor]: Taking taylor expansion of x in x 6.220 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) (pow (+ 1.0 (/ 1 x)) 1/6)) in x 6.220 * [taylor]: Taking taylor expansion of (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) in x 6.220 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/6) in x 6.220 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1.0 (/ 1 x))))) in x 6.220 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1.0 (/ 1 x)))) in x 6.220 * [taylor]: Taking taylor expansion of 1/6 in x 6.220 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 6.220 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 6.220 * [taylor]: Taking taylor expansion of 1.0 in x 6.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.220 * [taylor]: Taking taylor expansion of x in x 6.271 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (* (pow (- 1.0 (/ 1 x)) 1/6) (fabs (pow (- 1.0 (/ 1 x)) 1/3))) (sqrt (/ -1 x)))) in (x) around 0 6.271 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (* (pow (- 1.0 (/ 1 x)) 1/6) (fabs (pow (- 1.0 (/ 1 x)) 1/3))) (sqrt (/ -1 x)))) in x 6.271 * [taylor]: Taking taylor expansion of 1.0 in x 6.271 * [taylor]: Taking taylor expansion of (+ (* (pow (- 1.0 (/ 1 x)) 1/6) (fabs (pow (- 1.0 (/ 1 x)) 1/3))) (sqrt (/ -1 x))) in x 6.271 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/6) (fabs (pow (- 1.0 (/ 1 x)) 1/3))) in x 6.271 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in x 6.271 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 x))))) in x 6.271 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 x)))) in x 6.271 * [taylor]: Taking taylor expansion of 1/6 in x 6.271 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 6.271 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.271 * [taylor]: Taking taylor expansion of 1.0 in x 6.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.271 * [taylor]: Taking taylor expansion of x in x 6.273 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 x)) 1/3)) in x 6.273 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 6.273 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.273 * [taylor]: Taking taylor expansion of -1 in x 6.273 * [taylor]: Taking taylor expansion of x in x 6.276 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (* (pow (- 1.0 (/ 1 x)) 1/6) (fabs (pow (- 1.0 (/ 1 x)) 1/3))) (sqrt (/ -1 x)))) in x 6.276 * [taylor]: Taking taylor expansion of 1.0 in x 6.276 * [taylor]: Taking taylor expansion of (+ (* (pow (- 1.0 (/ 1 x)) 1/6) (fabs (pow (- 1.0 (/ 1 x)) 1/3))) (sqrt (/ -1 x))) in x 6.276 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/6) (fabs (pow (- 1.0 (/ 1 x)) 1/3))) in x 6.276 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in x 6.276 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 x))))) in x 6.276 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 x)))) in x 6.276 * [taylor]: Taking taylor expansion of 1/6 in x 6.276 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 6.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.276 * [taylor]: Taking taylor expansion of 1.0 in x 6.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.277 * [taylor]: Taking taylor expansion of x in x 6.279 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 x)) 1/3)) in x 6.279 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 6.279 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.279 * [taylor]: Taking taylor expansion of -1 in x 6.279 * [taylor]: Taking taylor expansion of x in x 6.337 * * * [progress]: simplifying candidates 6.339 * [simplify]: Simplifying using # : (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 (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))) (log1p (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (+ (log (fabs (cbrt (+ x 1.0)))) (log (sqrt (cbrt (+ x 1.0))))) (log (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))) (exp (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))) (* (* (* (fabs (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0)))) (fabs (cbrt (+ x 1.0)))) (* (* (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))))) (* (cbrt (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))) (cbrt (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))))) (cbrt (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))) (* (* (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))) (sqrt (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))) (sqrt (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))) (* (sqrt (fabs (cbrt (+ x 1.0)))) (sqrt (cbrt (sqrt (+ x 1.0))))) (* (sqrt (fabs (cbrt (+ x 1.0)))) (sqrt (cbrt (sqrt (+ x 1.0))))) (* (sqrt (fabs (cbrt (+ x 1.0)))) (sqrt (sqrt (cbrt (+ x 1.0))))) (* (sqrt (fabs (cbrt (+ x 1.0)))) (sqrt (sqrt (cbrt (+ x 1.0))))) (* (sqrt (fabs (cbrt (+ x 1.0)))) (sqrt (sqrt (cbrt (+ x 1.0))))) (* (sqrt (fabs (cbrt (+ x 1.0)))) (sqrt (sqrt (cbrt (+ x 1.0))))) (* (fabs (cbrt (+ x 1.0))) (* (cbrt (sqrt (cbrt (+ x 1.0)))) (cbrt (sqrt (cbrt (+ x 1.0)))))) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (sqrt (+ x 1.0))))) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt 1))) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt 1))) (* (fabs (cbrt (+ x 1.0))) (sqrt (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))))) (* (fabs (cbrt (+ x 1.0))) (sqrt (sqrt (cbrt (+ x 1.0))))) (* (fabs (cbrt (+ x 1.0))) (sqrt 1)) (* (fabs (cbrt (+ x 1.0))) (sqrt (sqrt (cbrt (+ x 1.0))))) (* (fabs (cbrt (+ x 1.0))) 1) (* (cbrt (fabs (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0)))) (* (sqrt (fabs (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0)))) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ (pow x 3) (pow 1.0 3))))) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (- (* x x) (* 1.0 1.0))))) (expm1 (/ (+ 1.0 0) (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (log1p (/ (+ 1.0 0) (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (- (log (+ 1.0 0)) (log (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (log (/ (+ 1.0 0) (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (exp (/ (+ 1.0 0) (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))) (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))))) (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (* (cbrt (/ (+ 1.0 0) (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (cbrt (/ (+ 1.0 0) (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))))))) (cbrt (/ (+ 1.0 0) (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (* (* (/ (+ 1.0 0) (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))))) (/ (+ 1.0 0) (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (/ (+ 1.0 0) (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (sqrt (/ (+ 1.0 0) (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (sqrt (/ (+ 1.0 0) (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (- (+ 1.0 0)) (- (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))))) (cbrt (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))))) (/ (sqrt (+ 1.0 0)) (* (cbrt (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))))) (cbrt (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))))))) (/ (sqrt (+ 1.0 0)) (cbrt (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))))) (/ 1 (* (cbrt (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))))) (cbrt (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))))))) (/ (+ 1.0 0) (cbrt (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (/ 1 (sqrt (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (/ (+ 1.0 0) (sqrt (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))))) (/ 1 (* (cbrt (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))))) (cbrt (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))))))) (/ (+ 1.0 0) (cbrt (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (/ 1 (sqrt (+ (sqrt x) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))) (/ (+ 1.0 0) (sqrt (+ (sqrt x) 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(/ 1 x) -1/3)) (* (cbrt (/ 1 (pow x 5))) 0.1111111111111111)) (- (fma 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)))) (fma 0.16666666666666666 (* (pow 1.0 1/6) (* (fabs (cbrt (+ x 1.0))) x)) (+ (* (pow 1.0 1/6) (+ (fabs (cbrt (+ x 1.0))) (* 0.013888888888888888 (* (pow x 2) (fabs (cbrt (+ x 1.0))))))) (* -1/12 (* (* x x) (* (fabs (cbrt (+ x 1.0))) (pow (/ 1 (pow 1.0 11)) 1/6)))))) (fma 0.16666666666666666 (* (fabs (cbrt (+ x 1.0))) (pow (/ 1 (pow x 5)) 1/6)) (* (fabs (cbrt (+ x 1.0))) (- (pow x 1/6) (* 0.06944444444444445 (pow (/ 1 (pow x 11)) 1/6))))) (- (fma 0.16666666666666666 (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (/ x (fabs (cbrt (+ x 1.0))))) (* (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (cbrt (+ x 1.0))))) (* 0.06944444444444445 (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (/ (pow x 2) (fabs (cbrt (+ x 1.0))))))) (+ (- (fma 0.08333333333333333 (* (sqrt (/ 1 (pow 1.0 3))) (/ (pow x 2) (fabs (cbrt (+ x 1.0))))) (fma (/ (* (* (pow x 2) (sqrt 1.0)) (cbrt 1.0)) (fabs (cbrt (+ x 1.0)))) 0.027777777777777776 (/ (* 1.0 (pow 1.0 1/6)) (fabs (cbrt (+ x 1.0)))))) (fma (/ (* (pow x 2) (sqrt 1.0)) (fabs (cbrt (+ x 1.0)))) 0.013888888888888888 (* 0.16666666666666666 (/ (* x (sqrt 1.0)) (fabs (cbrt (+ x 1.0))))))) (fma (/ (* (pow x 2) (sqrt 1.0)) (pow (fabs (cbrt (+ x 1.0))) 3)) +nan.0 (- (* +nan.0 (- (* (/ (* (pow x 2) (sqrt 1.0)) (pow (fabs (cbrt (+ x 1.0))) 2)) (pow 1.0 1/6)) (* (/ (* x x) (pow (fabs (cbrt (+ x 1.0))) 2)) (cbrt 1.0)))) (* +nan.0 (* (/ x (pow (fabs (cbrt (+ x 1.0))) 2)) (cbrt 1.0)))))) (- (- (fma (/ (* (pow (fabs (cbrt (+ x 1.0))) 2) (cbrt (/ 1 (pow x 5)))) (pow (- (* (fabs (cbrt (+ x 1.0))) (pow x 1/6)) +nan.0) 3)) 0.027777777777777776 (fma (/ (* (fabs (cbrt (+ x 1.0))) (pow (/ 1 (pow x 11)) 1/6)) (pow (- (* (fabs (cbrt (+ x 1.0))) (pow x 1/6)) +nan.0) 2)) 0.06944444444444445 (/ 1.0 (- (* (fabs (cbrt (+ x 1.0))) (pow x 1/6)) +nan.0)))) (/ +nan.0 (* (pow (- (* (fabs (cbrt (+ x 1.0))) (pow x 1/6)) +nan.0) 2) (* x x)))) (+ (- (* (* 0.16666666666666666 (/ (fabs (cbrt (+ x 1.0))) (pow (- (* (fabs (cbrt (+ x 1.0))) (pow x 1/6)) +nan.0) 2))) (pow (/ 1 (pow x 5)) 1/6)) (/ +nan.0 (* (pow (- (* (fabs (cbrt (+ x 1.0))) (pow x 1/6)) +nan.0) 3) (* x x)))) (- (* +nan.0 (/ (* (fabs (cbrt (+ x 1.0))) (pow (/ 1 (pow x 11)) 1/6)) (pow (- (* (fabs (cbrt (+ x 1.0))) (pow x 1/6)) +nan.0) 3))) (/ +nan.0 (* (pow (- (* (fabs (cbrt (+ x 1.0))) (pow x 1/6)) +nan.0) 2) x))))) (+ (- (- (fma 0.027777777777777776 (/ (pow (exp (* 1/6 (- (log -1) (log (/ -1 x))))) 2) (/ (* (pow (fma (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (cbrt (+ x 1.0))) (- +nan.0)) 3) (* x x)) (pow (fabs (cbrt (+ x 1.0))) 2))) (fma (/ (/ (* (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (cbrt (+ x 1.0)))) (pow (fma (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (cbrt (+ x 1.0))) (- +nan.0)) 2)) (* x x)) 0.06944444444444445 (/ 1.0 (fma (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (cbrt (+ x 1.0))) (- +nan.0))))) (/ +nan.0 (* (pow (fma (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (cbrt (+ x 1.0))) (- +nan.0)) 2) (* x x)))) (* (* (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (pow (fma (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (cbrt (+ x 1.0))) (- +nan.0)) 2)) (/ (fabs (cbrt (+ x 1.0))) x)) 0.16666666666666666)) (fma (/ (/ (* (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (cbrt (+ x 1.0)))) (pow (fma (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (cbrt (+ x 1.0))) (- +nan.0)) 3)) (* x x)) +nan.0 (- (/ +nan.0 (* (pow (fma (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (cbrt (+ x 1.0))) (- +nan.0)) 3) (* x x))) (/ +nan.0 (* x (pow (fma (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (cbrt (+ x 1.0))) (- +nan.0)) 2)))))) 7.617 * * * [progress]: adding candidates to table 8.024 * [progress]: [Phase 3 of 3] Extracting. 8.024 * * [regime]: Finding splitpoints for: (# # # # # # # #) 8.026 * * * [regime-changes]: Trying 1 branch expressions: (x) 8.026 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 8.055 * * * [regime]: Found split indices: #