21.784 * [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)) 0.027 * [simplify]: Sending expressions to egg_math: (- (sqrt (+ h0 h1)) (sqrt h0)) 0.030 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.031 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.032 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.032 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.042 * * * [progress]: generating rewritten candidates 0.042 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.091 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.105 * * * [progress]: generating series expansions 0.105 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.105 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.105 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.105 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.105 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.108 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.128 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 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 0.130 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.131 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.131 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.147 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.147 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.147 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.147 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.147 * [taylor]: Taking taylor expansion of 1.0 in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.149 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.149 * [taylor]: Taking taylor expansion of -1 in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.150 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.150 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.151 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.151 * [taylor]: Taking taylor expansion of -1 in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.166 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.166 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.166 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.168 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.176 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.176 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.176 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of 1.0 in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.177 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.177 * [taylor]: Taking taylor expansion of 1.0 in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.190 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.190 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.190 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.190 * [taylor]: Taking taylor expansion of 1.0 in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.192 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.199 * * * [progress]: simplifying candidates 0.200 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma 1 (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (/ (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (* (* (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (sqrt x)) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.201 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (- (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))))) (fma (- (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (fma (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (- (* (sqrt (cbrt h0)) (sqrt (* (cbrt h0) (cbrt h0)))))) (fma (- (sqrt (cbrt h0))) (sqrt (* (cbrt h0) (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (* (cbrt h0) (cbrt h0))))) (fma (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (- (* (sqrt (sqrt h0)) (sqrt (sqrt h0))))) (fma (- (sqrt (sqrt h0))) (sqrt (sqrt h0)) (* (sqrt (sqrt h0)) (sqrt (sqrt h0)))) (fma (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (- (* (sqrt h0) (sqrt 1)))) (fma (- (sqrt h0)) (sqrt 1) (* (sqrt h0) (sqrt 1))) (fma (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (- (* (sqrt (sqrt h0)) (sqrt (sqrt h0))))) (fma (- (sqrt (sqrt h0))) (sqrt (sqrt h0)) (* (sqrt (sqrt h0)) (sqrt (sqrt h0)))) (fma (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (- (* (sqrt h0) 1))) (fma (- (sqrt h0)) 1 (* (sqrt h0) 1)) (fma (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (- (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))))) (fma (- (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (fma (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (- (* (sqrt (cbrt h0)) (sqrt (* (cbrt h0) (cbrt h0)))))) (fma (- (sqrt (cbrt h0))) (sqrt (* (cbrt h0) (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (* (cbrt h0) (cbrt h0))))) (fma (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (- (* (sqrt (sqrt h0)) (sqrt (sqrt h0))))) (fma (- (sqrt (sqrt h0))) (sqrt (sqrt h0)) (* (sqrt (sqrt h0)) (sqrt (sqrt h0)))) (fma (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (- (* (sqrt h0) (sqrt 1)))) (fma (- (sqrt h0)) (sqrt 1) (* (sqrt h0) (sqrt 1))) (fma (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (- (* (sqrt (sqrt h0)) (sqrt (sqrt h0))))) (fma (- (sqrt (sqrt h0))) (sqrt (sqrt h0)) (* (sqrt (sqrt h0)) (sqrt (sqrt h0)))) (fma (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (- (* (sqrt h0) 1))) (fma (- (sqrt h0)) 1 (* (sqrt h0) 1)) (fma (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))))) (fma (- (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (fma (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (* (sqrt (cbrt h0)) (sqrt (* (cbrt h0) (cbrt h0)))))) (fma (- (sqrt (cbrt h0))) (sqrt (* (cbrt h0) (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (* (cbrt h0) (cbrt h0))))) (fma (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (* (sqrt (sqrt h0)) (sqrt (sqrt h0))))) (fma (- (sqrt (sqrt h0))) (sqrt (sqrt h0)) (* (sqrt (sqrt h0)) (sqrt (sqrt h0)))) (fma (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (* (sqrt h0) (sqrt 1)))) (fma (- (sqrt h0)) (sqrt 1) (* (sqrt h0) (sqrt 1))) (fma (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (* (sqrt (sqrt h0)) (sqrt (sqrt h0))))) (fma (- (sqrt (sqrt h0))) (sqrt (sqrt h0)) (* (sqrt (sqrt h0)) (sqrt (sqrt h0)))) (fma (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (* (sqrt h0) 1))) (fma (- (sqrt h0)) 1 (* (sqrt h0) 1)) (fma (sqrt 1) (sqrt (+ h0 h1)) (- (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))))) (fma (- (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (fma (sqrt 1) (sqrt (+ h0 h1)) (- (* (sqrt (cbrt h0)) (sqrt (* (cbrt h0) (cbrt h0)))))) (fma (- (sqrt (cbrt h0))) (sqrt (* (cbrt h0) (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (* (cbrt h0) (cbrt h0))))) (fma (sqrt 1) (sqrt (+ h0 h1)) (- (* (sqrt (sqrt h0)) (sqrt (sqrt h0))))) (fma (- (sqrt (sqrt h0))) (sqrt (sqrt h0)) (* (sqrt (sqrt h0)) (sqrt (sqrt h0)))) (fma (sqrt 1) (sqrt (+ h0 h1)) (- (* (sqrt h0) (sqrt 1)))) (fma (- (sqrt h0)) (sqrt 1) (* (sqrt h0) (sqrt 1))) (fma (sqrt 1) (sqrt (+ h0 h1)) (- (* (sqrt (sqrt h0)) (sqrt (sqrt h0))))) (fma (- (sqrt (sqrt h0))) (sqrt (sqrt h0)) (* (sqrt (sqrt h0)) (sqrt (sqrt h0)))) (fma (sqrt 1) (sqrt (+ h0 h1)) (- (* (sqrt h0) 1))) (fma (- (sqrt h0)) 1 (* (sqrt h0) 1)) (fma (sqrt 1) (sqrt (+ h0 h1)) (- (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))))) (fma (- (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (fma (sqrt 1) (sqrt (+ h0 h1)) (- (* (sqrt (cbrt h0)) (sqrt (* (cbrt h0) (cbrt h0)))))) (fma (- (sqrt (cbrt h0))) (sqrt (* (cbrt h0) (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (* (cbrt h0) (cbrt h0))))) (fma (sqrt 1) (sqrt (+ h0 h1)) (- (* (sqrt (sqrt h0)) (sqrt (sqrt h0))))) (fma (- (sqrt (sqrt h0))) (sqrt (sqrt h0)) (* (sqrt (sqrt h0)) (sqrt (sqrt h0)))) (fma (sqrt 1) (sqrt (+ h0 h1)) (- (* (sqrt h0) (sqrt 1)))) (fma (- (sqrt h0)) (sqrt 1) (* (sqrt h0) (sqrt 1))) (fma (sqrt 1) (sqrt (+ h0 h1)) (- (* (sqrt (sqrt h0)) (sqrt (sqrt h0))))) (fma (- (sqrt (sqrt h0))) (sqrt (sqrt h0)) (* (sqrt (sqrt h0)) (sqrt (sqrt h0)))) (fma (sqrt 1) (sqrt (+ h0 h1)) (- (* (sqrt h0) 1))) (fma (- (sqrt h0)) 1 (* (sqrt h0) 1)) (fma (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))))) (fma (- (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (fma (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (* (sqrt (cbrt h0)) (sqrt (* (cbrt h0) (cbrt h0)))))) (fma (- (sqrt (cbrt h0))) (sqrt (* (cbrt h0) (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (* (cbrt h0) (cbrt h0))))) (fma (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (* (sqrt (sqrt h0)) (sqrt (sqrt h0))))) (fma (- (sqrt (sqrt h0))) (sqrt (sqrt h0)) (* (sqrt (sqrt h0)) (sqrt (sqrt h0)))) (fma (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (* (sqrt h0) (sqrt 1)))) (fma (- (sqrt h0)) (sqrt 1) (* (sqrt h0) (sqrt 1))) (fma (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (* (sqrt (sqrt h0)) (sqrt (sqrt h0))))) (fma (- (sqrt (sqrt h0))) (sqrt (sqrt h0)) (* (sqrt (sqrt h0)) (sqrt (sqrt h0)))) (fma (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (* (sqrt h0) 1))) (fma (- (sqrt h0)) 1 (* (sqrt h0) 1)) (fma 1 (sqrt (+ h0 h1)) (- (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))))) (fma (- (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (fma 1 (sqrt (+ h0 h1)) (- (* (sqrt (cbrt h0)) (sqrt (* (cbrt h0) (cbrt h0)))))) (fma (- (sqrt (cbrt h0))) (sqrt (* (cbrt h0) (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (* (cbrt h0) (cbrt h0))))) (fma 1 (sqrt (+ h0 h1)) (- (* (sqrt (sqrt h0)) (sqrt (sqrt h0))))) (fma (- (sqrt (sqrt h0))) (sqrt (sqrt h0)) (* (sqrt (sqrt h0)) (sqrt (sqrt h0)))) (fma 1 (sqrt (+ h0 h1)) (- (* (sqrt h0) (sqrt 1)))) (fma (- (sqrt h0)) (sqrt 1) (* (sqrt h0) (sqrt 1))) (fma 1 (sqrt (+ h0 h1)) (- (* (sqrt (sqrt h0)) (sqrt (sqrt h0))))) (fma (- (sqrt (sqrt h0))) (sqrt (sqrt h0)) (* (sqrt (sqrt h0)) (sqrt (sqrt h0)))) (fma 1 (sqrt (+ h0 h1)) (- (* (sqrt h0) 1))) (fma (- (sqrt h0)) 1 (* (sqrt h0) 1)) (expm1 (- (sqrt (+ h0 h1)) (sqrt h0))) (log1p (- (sqrt (+ h0 h1)) (sqrt h0))) (- (sqrt h0)) (- (sqrt h0)) (- (sqrt h0)) (- (sqrt h0)) (- (sqrt h0)) (- (sqrt h0)) (- (sqrt h0)) (/ (exp (sqrt (+ h0 h1))) (exp (sqrt h0))) (log (- (sqrt (+ h0 h1)) (sqrt h0))) (exp (- (sqrt (+ h0 h1)) (sqrt h0))) (* (cbrt (- (sqrt (+ h0 h1)) (sqrt h0))) (cbrt (- (sqrt (+ h0 h1)) (sqrt h0)))) (cbrt (- (sqrt (+ h0 h1)) (sqrt h0))) (* (* (- (sqrt (+ h0 h1)) (sqrt h0)) (- (sqrt (+ h0 h1)) (sqrt h0))) (- (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (- (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (- (sqrt (+ h0 h1)) (sqrt h0))) (- (pow (sqrt (+ h0 h1)) 3) (pow (sqrt h0) 3)) (+ (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (+ (* (sqrt h0) (sqrt h0)) (* (sqrt (+ h0 h1)) (sqrt h0)))) (- (sqrt h0)) (- (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (* (sqrt h0) (sqrt h0))) (+ (sqrt (+ h0 h1)) (sqrt h0)) (+ (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (- (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (+ (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (- (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (+ (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (- (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (+ (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (- (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (- (sqrt (+ h0 h1)) (sqrt h0)) (- (sqrt (+ h0 h1)) (sqrt h0)) (- (sqrt (+ h0 h1)) (sqrt h0)) (- (sqrt h0)) (expm1 (sqrt (+ h0 h1))) (log1p (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (exp (sqrt (+ h0 h1))) (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (* (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (sqrt (+ h0 h1))) (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt 1) (sqrt (+ h0 h1)) (sqrt 1) (sqrt (+ h0 h1)) (sqrt (+ (pow h0 3) (pow h1 3))) (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- h0 h1)) (/ 1 2) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (+ (sqrt h1) (* 1/2 (/ h0 (sqrt h1)))) (+ (* h2 (pow h0 2)) (- (* 1/8 (/ (pow h0 2) (pow (sqrt h1) 3))) (* h2 h0)))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (sqrt h1) (* 1/2 (/ h0 (sqrt h1)))) (* 1/8 (/ (pow h0 2) (pow (sqrt h1) 3)))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) 0.207 * * [simplify]: iteration 0 : 299 enodes (cost 1161 ) 0.211 * * [simplify]: iteration 1 : 921 enodes (cost 822 ) 0.235 * * [simplify]: iteration 2 : 5001 enodes (cost 744 ) 0.238 * [simplify]: Simplified to: (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (fma (- (sqrt x)) 1 (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (* (sqrt (cbrt x)) (- (fabs (cbrt x))))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (fma (- (sqrt x)) 1 (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (fma (- (sqrt x)) 1 (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (fma (- (sqrt x)) 1 (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) 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(sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (+ (fma (sqrt x) (sqrt (+ x 1.0)) x) x) 1.0) (- (sqrt x)) (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) 0.239 * * * [progress]: adding candidates to table 0.371 * * [progress]: iteration 2 / 4 0.371 * * * [progress]: picking best candidate 0.377 * * * * [pick]: Picked # 0.377 * * * [progress]: localizing error 0.385 * * * [progress]: generating rewritten candidates 0.385 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.444 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.454 * * * [progress]: generating series expansions 0.454 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.455 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.455 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.455 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.455 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.457 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.459 * [taylor]: Taking taylor expansion of 1.0 in x 0.459 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.459 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.459 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of 1.0 in x 0.461 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.536 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.536 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.536 * [taylor]: Taking taylor expansion of 1.0 in x 0.536 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.536 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.537 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.537 * [taylor]: Taking taylor expansion of 1.0 in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.539 * [taylor]: Taking taylor expansion of 1.0 in x 0.539 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.540 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.541 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.541 * [taylor]: Taking taylor expansion of 1.0 in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.566 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.566 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.566 * [taylor]: Taking taylor expansion of 1.0 in x 0.566 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.566 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.566 * [taylor]: Taking taylor expansion of -1 in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.567 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.567 * [taylor]: Taking taylor expansion of 1.0 in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.570 * [taylor]: Taking taylor expansion of 1.0 in x 0.570 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.570 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.570 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.570 * [taylor]: Taking taylor expansion of -1 in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.571 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.571 * [taylor]: Taking taylor expansion of 1.0 in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.590 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.591 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.591 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.591 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of 1.0 in x 0.592 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.592 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of 1.0 in x 0.600 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.600 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.600 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.601 * [taylor]: Taking taylor expansion of 1.0 in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.602 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.609 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.609 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.609 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.609 * [taylor]: Taking taylor expansion of 1.0 in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.610 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.610 * [taylor]: Taking taylor expansion of 1.0 in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.617 * * * [progress]: simplifying candidates 0.619 * [simplify]: Simplifying using # : (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (log (+ 1.0 0)) (log (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (+ 1.0 0)) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) 1) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) 1) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (/ (+ 1.0 0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (* 1.0 1.0) (- (* 0 0) (* 1.0 0)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (- 1.0 0)) (expm1 (sqrt (+ x 1.0))) (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)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.619 * [simplify]: Sending expressions to egg_math: (expm1 (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (- (log (+ h0 0)) (log (+ (sqrt (+ h1 h0)) (sqrt h1)))) (log (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (exp (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (* (* (+ h0 0) (+ h0 0)) (+ h0 0)) (* (* (+ (sqrt (+ h1 h0)) (sqrt h1)) (+ (sqrt (+ h1 h0)) (sqrt h1))) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (* (cbrt (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (cbrt (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))))) (cbrt (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (* (* (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (sqrt (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (sqrt (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (- (+ h0 0)) (- (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (* (cbrt (+ h0 0)) (cbrt (+ h0 0))) (* (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))))) (/ (cbrt (+ h0 0)) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (* (cbrt (+ h0 0)) (cbrt (+ h0 0))) (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (cbrt (+ h0 0)) (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (* (cbrt (+ h0 0)) (cbrt (+ h0 0))) 1) (/ (cbrt (+ h0 0)) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (* (cbrt (+ h0 0)) (cbrt (+ h0 0))) (sqrt 1)) (/ (cbrt (+ h0 0)) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (* (cbrt (+ h0 0)) (cbrt (+ h0 0))) (sqrt 1)) (/ (cbrt (+ h0 0)) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (* (cbrt (+ h0 0)) (cbrt (+ h0 0))) 1) (/ (cbrt (+ h0 0)) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (sqrt (+ h0 0)) (* (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))))) (/ (sqrt (+ h0 0)) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (sqrt (+ h0 0)) (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (sqrt (+ h0 0)) (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (sqrt (+ h0 0)) 1) (/ (sqrt (+ h0 0)) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (sqrt (+ h0 0)) (sqrt 1)) (/ (sqrt (+ h0 0)) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (sqrt (+ h0 0)) (sqrt 1)) (/ (sqrt (+ h0 0)) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (sqrt (+ h0 0)) 1) (/ (sqrt (+ h0 0)) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 (* (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))))) (/ (+ h0 0) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ 1 (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (+ h0 0) (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ 1 1) (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 (sqrt 1)) (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 (sqrt 1)) (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 1) (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 (* (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))))) (/ (+ h0 0) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ 1 (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (+ h0 0) (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ 1 1) (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 (sqrt 1)) (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 (sqrt 1)) (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 1) (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (+ (sqrt (+ h1 h0)) (sqrt h1)) (+ h0 0)) (/ (+ h0 0) (* (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))))) (/ (+ h0 0) (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (+ h0 0) 1) (/ (+ h0 0) (sqrt 1)) (/ (+ h0 0) (sqrt 1)) (/ (+ h0 0) 1) (/ (+ (sqrt (+ h1 h0)) (sqrt h1)) (cbrt (+ h0 0))) (/ (+ (sqrt (+ h1 h0)) (sqrt h1)) (sqrt (+ h0 0))) (/ (+ (sqrt (+ h1 h0)) (sqrt h1)) (+ h0 0)) (/ (+ (sqrt (+ h1 h0)) (sqrt h1)) (+ h0 0)) (/ (+ h0 0) (+ (pow (sqrt (+ h1 h0)) 3) (pow (sqrt h1) 3))) (/ (+ h0 0) (- (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* (sqrt h1) (sqrt h1)))) (* (+ (sqrt (+ h1 h0)) (sqrt h1)) (+ (* h0 h0) (- (* 0 0) (* h0 0)))) (* (+ (sqrt (+ h1 h0)) (sqrt h1)) (- h0 0)) (expm1 (sqrt (+ h1 h0))) (log1p (sqrt (+ h1 h0))) (log (sqrt (+ h1 h0))) (exp (sqrt (+ h1 h0))) (* (cbrt (sqrt (+ h1 h0))) (cbrt (sqrt (+ h1 h0)))) (cbrt (sqrt (+ h1 h0))) (* (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (sqrt (+ h1 h0))) (sqrt (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (sqrt (cbrt (+ h1 h0))) (sqrt (sqrt (+ h1 h0))) (sqrt (sqrt (+ h1 h0))) (sqrt 1) (sqrt (+ h1 h0)) (sqrt 1) (sqrt (+ h1 h0)) (sqrt (+ (pow h1 3) (pow h0 3))) (sqrt (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (sqrt (- h1 h0)) (/ 1 2) (sqrt (sqrt (+ h1 h0))) (sqrt (sqrt (+ h1 h0))) (- (+ (* h0 (/ 1 (sqrt h0))) (* h2 (/ (pow h1 2) (pow (sqrt h0) 5)))) (+ (* h3 (/ (pow h1 2) (pow (sqrt h0) 2))) (- (* h4 (/ h1 (pow (sqrt h0) 3))) (+ (* h3 (/ (pow h1 2) (pow (sqrt h0) 4))) (- (+ (* h3 (/ h1 (pow (sqrt h0) 2))) (- (* h3 (/ (pow h1 2) (pow (sqrt h0) 3)))))))))) (- (+ (* h3 (/ 1 (pow h1 2))) (- (+ (* h3 (/ 1 h1)) (- h3))))) (- (+ (* h3 (/ 1 (pow h1 2))) (- (+ (* h3 (/ 1 h1)) (- h3))))) (- (+ (sqrt h0) (* 1/2 (/ h1 (sqrt h0)))) (* 1/8 (/ (pow h1 2) (pow (sqrt h0) 3)))) (- (+ (* h3 (/ 1 (pow h1 2))) (- (+ (* h3 (/ 1 h1)) (- h3))))) (- (+ (* h3 (/ 1 (pow h1 2))) (- (+ (* h3 (/ 1 h1)) (- h3))))) 0.624 * * [simplify]: iteration 0 : 371 enodes (cost 654 ) 0.631 * * [simplify]: iteration 1 : 1550 enodes (cost 602 ) 0.660 * * [simplify]: iteration 2 : 5002 enodes (cost 560 ) 0.663 * [simplify]: Simplified to: (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- 0 1.0) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1.0 1.0 1.0 1.0 (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ 1.0 (* (fma x (sqrt x) (pow (sqrt (+ x 1.0)) 3)) 1)) (/ 1.0 (* (+ x (- 1.0 x)) 1)) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (* 1.0 1.0)) (* 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (+ (/ 1.0 (sqrt 1.0)) (fma 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)) (- (fma +nan.0 (/ x (/ 1.0 x)) (* 0.5 (/ x (pow (sqrt 1.0) 3))))))) (fma +nan.0 (* (/ x 1.0) (/ x 1.0)) (fma (- +nan.0) (/ x 1.0) (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) 0.663 * * * [progress]: adding candidates to table 0.806 * * [progress]: iteration 3 / 4 0.806 * * * [progress]: picking best candidate 0.823 * * * * [pick]: Picked # 0.823 * * * [progress]: localizing error 0.835 * * * [progress]: generating rewritten candidates 0.835 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.893 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.894 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.894 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 0.907 * * * [progress]: generating series expansions 0.907 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.907 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.907 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.907 * [taylor]: Taking taylor expansion of 1.0 in x 0.907 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.907 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.907 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of 1.0 in x 0.909 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.911 * [taylor]: Taking taylor expansion of 1.0 in x 0.911 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.912 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.912 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.991 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.991 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.991 * [taylor]: Taking taylor expansion of 1.0 in x 0.991 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.991 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.992 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.992 * [taylor]: Taking taylor expansion of 1.0 in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.995 * [taylor]: Taking taylor expansion of 1.0 in x 0.995 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.995 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.996 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.996 * [taylor]: Taking taylor expansion of 1.0 in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.996 * [taylor]: Taking taylor expansion of x in x 1.015 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.015 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.015 * [taylor]: Taking taylor expansion of 1.0 in x 1.015 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.015 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.015 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.015 * [taylor]: Taking taylor expansion of -1 in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.017 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.017 * [taylor]: Taking taylor expansion of 1.0 in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.019 * [taylor]: Taking taylor expansion of 1.0 in x 1.019 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.019 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.019 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.019 * [taylor]: Taking taylor expansion of -1 in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.020 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.020 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.020 * [taylor]: Taking taylor expansion of 1.0 in x 1.020 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.039 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.040 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 1.040 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.040 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 1) 1.040 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.040 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.040 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 1.040 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.040 * [taylor]: Taking taylor expansion of 1 in x 1.040 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.040 * [taylor]: Taking taylor expansion of 1.0 in x 1.040 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.040 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.040 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of 1.0 in x 1.042 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of 1 in x 1.048 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.048 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 1) 1.048 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.048 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.048 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 1.048 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.048 * [taylor]: Taking taylor expansion of 1 in x 1.049 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.049 * [taylor]: Taking taylor expansion of 1.0 in x 1.049 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.049 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.049 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.049 * [taylor]: Taking taylor expansion of 1.0 in x 1.050 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.057 * [taylor]: Taking taylor expansion of 1 in x 1.714 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 1.714 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.714 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 1) 1.714 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.714 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.714 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 1.714 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.714 * [taylor]: Taking taylor expansion of 1 in x 1.714 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.714 * [taylor]: Taking taylor expansion of 1.0 in x 1.714 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.714 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.714 * [taylor]: Taking taylor expansion of x in x 1.715 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.715 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.715 * [taylor]: Taking taylor expansion of 1.0 in x 1.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.719 * [taylor]: Taking taylor expansion of 1 in x 1.719 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.719 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 1) 1.719 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.719 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.720 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 1.720 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.720 * [taylor]: Taking taylor expansion of 1 in x 1.720 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.720 * [taylor]: Taking taylor expansion of 1.0 in x 1.720 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.720 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.720 * [taylor]: Taking taylor expansion of x in x 1.721 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.721 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.721 * [taylor]: Taking taylor expansion of 1.0 in x 1.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.721 * [taylor]: Taking taylor expansion of x in x 1.724 * [taylor]: Taking taylor expansion of 1 in x 1.764 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 1.764 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.764 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 1) 1.764 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.764 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.764 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 1.764 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.764 * [taylor]: Taking taylor expansion of 1 in x 1.764 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.764 * [taylor]: Taking taylor expansion of 1.0 in x 1.764 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.764 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.764 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.764 * [taylor]: Taking taylor expansion of -1 in x 1.764 * [taylor]: Taking taylor expansion of x in x 1.765 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.766 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.766 * [taylor]: Taking taylor expansion of 1.0 in x 1.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.766 * [taylor]: Taking taylor expansion of x in x 1.770 * [taylor]: Taking taylor expansion of 1 in x 1.770 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.770 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 1) 1.770 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.770 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.770 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 1.770 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.770 * [taylor]: Taking taylor expansion of 1 in x 1.770 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.770 * [taylor]: Taking taylor expansion of 1.0 in x 1.770 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.770 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.770 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.770 * [taylor]: Taking taylor expansion of -1 in x 1.770 * [taylor]: Taking taylor expansion of x in x 1.771 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.771 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.771 * [taylor]: Taking taylor expansion of 1.0 in x 1.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.771 * [taylor]: Taking taylor expansion of x in x 1.775 * [taylor]: Taking taylor expansion of 1 in x 1.821 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.821 * [approximate]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in (x) around 0 1.821 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.821 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 1.821 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.821 * [taylor]: Taking taylor expansion of 1 in x 1.821 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.821 * [taylor]: Taking taylor expansion of 1.0 in x 1.821 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.821 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.821 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.821 * [taylor]: Taking taylor expansion of x in x 1.822 * [taylor]: Taking taylor expansion of 1.0 in x 1.823 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.823 * [taylor]: Taking taylor expansion of x in x 1.828 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.828 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 1.828 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.828 * [taylor]: Taking taylor expansion of 1 in x 1.828 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.828 * [taylor]: Taking taylor expansion of 1.0 in x 1.828 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.828 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.828 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.828 * [taylor]: Taking taylor expansion of x in x 1.828 * [taylor]: Taking taylor expansion of 1.0 in x 1.829 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.829 * [taylor]: Taking taylor expansion of x in x 2.172 * [approximate]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in (x) around 0 2.172 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.172 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 2.172 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.172 * [taylor]: Taking taylor expansion of 1 in x 2.172 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.172 * [taylor]: Taking taylor expansion of 1.0 in x 2.172 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.172 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.172 * [taylor]: Taking taylor expansion of x in x 2.174 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.174 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.174 * [taylor]: Taking taylor expansion of 1.0 in x 2.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.174 * [taylor]: Taking taylor expansion of x in x 2.177 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.177 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 2.177 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.177 * [taylor]: Taking taylor expansion of 1 in x 2.177 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.177 * [taylor]: Taking taylor expansion of 1.0 in x 2.177 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.177 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.177 * [taylor]: Taking taylor expansion of x in x 2.178 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.178 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.178 * [taylor]: Taking taylor expansion of 1.0 in x 2.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.178 * [taylor]: Taking taylor expansion of x in x 2.218 * [approximate]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in (x) around 0 2.218 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.218 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 2.218 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.218 * [taylor]: Taking taylor expansion of 1 in x 2.218 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.218 * [taylor]: Taking taylor expansion of 1.0 in x 2.218 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.218 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.218 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.218 * [taylor]: Taking taylor expansion of -1 in x 2.218 * [taylor]: Taking taylor expansion of x in x 2.220 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.220 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.220 * [taylor]: Taking taylor expansion of 1.0 in x 2.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.220 * [taylor]: Taking taylor expansion of x in x 2.223 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.223 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 2.223 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.223 * [taylor]: Taking taylor expansion of 1 in x 2.223 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.223 * [taylor]: Taking taylor expansion of 1.0 in x 2.223 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.223 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.223 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.223 * [taylor]: Taking taylor expansion of -1 in x 2.223 * [taylor]: Taking taylor expansion of x in x 2.224 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.224 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.224 * [taylor]: Taking taylor expansion of 1.0 in x 2.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.224 * [taylor]: Taking taylor expansion of x in x 2.258 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 2.258 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 2.258 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.258 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.258 * [taylor]: Taking taylor expansion of x in x 2.258 * [taylor]: Taking taylor expansion of 1.0 in x 2.260 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.260 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.260 * [taylor]: Taking taylor expansion of x in x 2.260 * [taylor]: Taking taylor expansion of 1.0 in x 2.268 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 2.268 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.268 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.268 * [taylor]: Taking taylor expansion of 1.0 in x 2.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.268 * [taylor]: Taking taylor expansion of x in x 2.269 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.269 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.269 * [taylor]: Taking taylor expansion of 1.0 in x 2.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.269 * [taylor]: Taking taylor expansion of x in x 2.276 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 2.276 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.276 * [taylor]: Taking taylor expansion of 1.0 in x 2.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.276 * [taylor]: Taking taylor expansion of x in x 2.277 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.277 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.277 * [taylor]: Taking taylor expansion of 1.0 in x 2.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.277 * [taylor]: Taking taylor expansion of x in x 2.291 * * * [progress]: simplifying candidates 2.293 * [simplify]: Simplifying using # : (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (log (+ 1.0 0)) (log (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (+ 1.0 0)) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) 1) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) 1) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (/ (+ 1.0 0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (* 1.0 1.0) (- (* 0 0) (* 1.0 0)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (- 1.0 0)) (exp (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (expm1 (expm1 (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log1p (expm1 (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log (expm1 (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (exp (expm1 (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (expm1 (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (expm1 (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))))) (cbrt (expm1 (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (* (expm1 (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (expm1 (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (expm1 (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (expm1 (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (expm1 (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (+ 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (expm1 (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (log1p (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (exp (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) (pow (sqrt 1.0) 6))))) (+ (* 0.5 (/ x (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) (pow (sqrt 1.0) 4)))) (- (+ (* +nan.0 (/ x (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ (pow x 2) (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ (pow x 2) (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) (pow (sqrt 1.0) 2)))) (- (+ (* +nan.0 (/ (pow x 2) (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) (pow (sqrt 1.0) 4)))) (- (+ (* +nan.0 (/ x (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) (pow (sqrt 1.0) 2)))) (- (+ (* +nan.0 (/ (pow x 2) (* (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) 2) (pow (sqrt 1.0) 6)))) (- (+ (* +nan.0 (/ (pow x 2) (* (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) 2) (pow (sqrt 1.0) 5)))) (- (+ (* +nan.0 (/ (pow x 2) (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) (pow (sqrt 1.0) 5)))) (- (* +nan.0 (/ (pow x 2) (* (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) 2) (pow (sqrt 1.0) 4))))))))))))))))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (log (+ (* 1.0 (/ 1 (sqrt 1.0))) 1)) (* 0.375 (/ (pow x 2) (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) (pow (sqrt 1.0) 5))))) (+ (* 0.5 (/ x (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) (pow (sqrt 1.0) 3)))) (- (* 0.125 (/ (pow x 2) (* (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) 2) (pow (sqrt 1.0) 6)))) (+ (* +nan.0 (/ x (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) (pow (sqrt 1.0) 2)))) (- (+ (* +nan.0 (/ (pow x 2) (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ (pow x 2) (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) (pow (sqrt 1.0) 2)))) (- (+ (* +nan.0 (/ (pow x 2) (* (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) (pow (sqrt 1.0) 4)))) (- (+ (* +nan.0 (/ (pow x 2) (* (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) 2) (pow (sqrt 1.0) 5)))) (- (* +nan.0 (/ (pow x 2) (* (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) 2) (pow (sqrt 1.0) 4))))))))))))))))) (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))) (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 2.293 * [simplify]: Sending expressions to egg_math: (expm1 (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (- (log (+ h0 0)) (log (+ (sqrt (+ h1 h0)) (sqrt h1)))) (log (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (exp (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (* (* (+ h0 0) (+ h0 0)) (+ h0 0)) (* (* (+ (sqrt (+ h1 h0)) (sqrt h1)) (+ (sqrt (+ h1 h0)) (sqrt h1))) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (* (cbrt (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (cbrt (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))))) (cbrt (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (* (* (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (sqrt (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (sqrt (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (- (+ h0 0)) (- (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (* (cbrt (+ h0 0)) (cbrt (+ h0 0))) (* (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))))) (/ (cbrt (+ h0 0)) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (* (cbrt (+ h0 0)) (cbrt (+ h0 0))) (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (cbrt (+ h0 0)) (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (* (cbrt (+ h0 0)) (cbrt (+ h0 0))) 1) (/ (cbrt (+ h0 0)) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (* (cbrt (+ h0 0)) (cbrt (+ h0 0))) (sqrt 1)) (/ (cbrt (+ h0 0)) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (* (cbrt (+ h0 0)) (cbrt (+ h0 0))) (sqrt 1)) (/ (cbrt (+ h0 0)) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (* (cbrt (+ h0 0)) (cbrt (+ h0 0))) 1) (/ (cbrt (+ h0 0)) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (sqrt (+ h0 0)) (* (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))))) (/ (sqrt (+ h0 0)) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (sqrt (+ h0 0)) (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (sqrt (+ h0 0)) (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (sqrt (+ h0 0)) 1) (/ (sqrt (+ h0 0)) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (sqrt (+ h0 0)) (sqrt 1)) (/ (sqrt (+ h0 0)) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (sqrt (+ h0 0)) (sqrt 1)) (/ (sqrt (+ h0 0)) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (sqrt (+ h0 0)) 1) (/ (sqrt (+ h0 0)) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 (* (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))))) (/ (+ h0 0) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ 1 (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (+ h0 0) (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ 1 1) (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 (sqrt 1)) (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 (sqrt 1)) (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 1) (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 (* (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))))) (/ (+ h0 0) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ 1 (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (+ h0 0) (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ 1 1) (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 (sqrt 1)) (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 (sqrt 1)) (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 1) (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (+ (sqrt (+ h1 h0)) (sqrt h1)) (+ h0 0)) (/ (+ h0 0) (* (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))))) (/ (+ h0 0) (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (+ h0 0) 1) (/ (+ h0 0) (sqrt 1)) (/ (+ h0 0) (sqrt 1)) (/ (+ h0 0) 1) (/ (+ (sqrt (+ h1 h0)) (sqrt h1)) (cbrt (+ h0 0))) (/ (+ (sqrt (+ h1 h0)) (sqrt h1)) (sqrt (+ h0 0))) (/ (+ (sqrt (+ h1 h0)) (sqrt h1)) (+ h0 0)) (/ (+ (sqrt (+ h1 h0)) (sqrt h1)) (+ h0 0)) (/ (+ h0 0) (+ (pow (sqrt (+ h1 h0)) 3) (pow (sqrt h1) 3))) (/ (+ h0 0) (- (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* (sqrt h1) (sqrt h1)))) (* (+ (sqrt (+ h1 h0)) (sqrt h1)) (+ (* h0 h0) (- (* 0 0) (* h0 0)))) (* (+ (sqrt (+ h1 h0)) (sqrt h1)) (- h0 0)) (exp (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))))) (expm1 (expm1 (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))))) (log1p (expm1 (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))))) (log (expm1 (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))))) (exp (expm1 (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))))) (* (cbrt (expm1 (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))))) (cbrt (expm1 (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))))))) (cbrt (expm1 (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))))) (* (* (expm1 (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))))) (expm1 (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))))) (expm1 (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))))) (sqrt (expm1 (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))))) (sqrt (expm1 (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))))) (+ 1 (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (expm1 (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))))) (log1p (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))))) (log (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))))) (exp (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))))) (* (cbrt (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))))) (cbrt (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))))) (cbrt (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))))) (* (* (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))))) (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))))) (sqrt (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))))) (sqrt (log1p (/ (+ h0 0) (+ (sqrt (+ h1 h0)) (sqrt h1))))) (expm1 (sqrt (+ h1 h0))) (log1p (sqrt (+ h1 h0))) (log (sqrt (+ h1 h0))) (exp (sqrt (+ h1 h0))) (* (cbrt (sqrt (+ h1 h0))) (cbrt (sqrt (+ h1 h0)))) (cbrt (sqrt (+ h1 h0))) (* (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (sqrt (+ h1 h0))) (sqrt (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (sqrt (cbrt (+ h1 h0))) (sqrt (sqrt (+ h1 h0))) (sqrt (sqrt (+ h1 h0))) (sqrt 1) (sqrt (+ h1 h0)) (sqrt 1) (sqrt (+ h1 h0)) (sqrt (+ (pow h1 3) (pow h0 3))) (sqrt (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (sqrt (- h1 h0)) (/ 1 2) (sqrt (sqrt (+ h1 h0))) (sqrt (sqrt (+ h1 h0))) (- (+ (* h0 (/ 1 (sqrt h0))) (* h2 (/ (pow h1 2) (pow (sqrt h0) 5)))) (+ (* h3 (/ (pow h1 2) (pow (sqrt h0) 2))) (- (* h4 (/ h1 (pow (sqrt h0) 3))) (+ (* h3 (/ (pow h1 2) (pow (sqrt h0) 4))) (- (+ (* h3 (/ h1 (pow (sqrt h0) 2))) (- (* h3 (/ (pow h1 2) (pow (sqrt h0) 3)))))))))) (- (+ (* h3 (/ 1 (pow h1 2))) (- (+ (* h3 (/ 1 h1)) (- h3))))) (- (+ (* h3 (/ 1 (pow h1 2))) (- (+ (* h3 (/ 1 h1)) (- h3))))) (- (+ (* h0 (/ 1 (sqrt h0))) (* h2 (/ (pow h1 2) (* (+ (* h0 (/ 1 (sqrt h0))) 1) (pow (sqrt h0) 6))))) (+ (* h4 (/ h1 (* (+ (* h0 (/ 1 (sqrt h0))) 1) (pow (sqrt h0) 4)))) (- (+ (* h3 (/ h1 (* (+ (* h0 (/ 1 (sqrt h0))) 1) (pow (sqrt h0) 3)))) (- (+ (* h3 (/ (pow h1 2) (* (+ (* h0 (/ 1 (sqrt h0))) 1) (pow (sqrt h0) 3)))) (- (+ (* h3 (/ (pow h1 2) (* (+ (* h0 (/ 1 (sqrt h0))) 1) (pow (sqrt h0) 2)))) (- (+ (* h3 (/ (pow h1 2) (* (+ (* h0 (/ 1 (sqrt h0))) 1) (pow (sqrt h0) 4)))) (- (+ (* h3 (/ h1 (* (+ (* h0 (/ 1 (sqrt h0))) 1) (pow (sqrt h0) 2)))) (- (+ (* h3 (/ (pow h1 2) (* (pow (+ (* h0 (/ 1 (sqrt h0))) 1) 2) (pow (sqrt h0) 6)))) (- (+ (* h3 (/ (pow h1 2) (* (pow (+ (* h0 (/ 1 (sqrt h0))) 1) 2) (pow (sqrt h0) 5)))) (- (+ (* h3 (/ (pow h1 2) (* (+ (* h0 (/ 1 (sqrt h0))) 1) (pow (sqrt h0) 5)))) (- (* h3 (/ (pow h1 2) (* (pow (+ (* h0 (/ 1 (sqrt h0))) 1) 2) (pow (sqrt h0) 4))))))))))))))))))))))) (- (+ (* h3 (/ 1 (pow h1 2))) (- (+ (* h3 (/ 1 h1)) (- h3))))) (- (+ (* h3 (/ 1 (pow h1 2))) (- (+ (* h3 (/ 1 h1)) (- h3))))) (- (+ (log (+ (* h0 (/ 1 (sqrt h0))) 1)) (* h2 (/ (pow h1 2) (* (+ (* h0 (/ 1 (sqrt h0))) 1) (pow (sqrt h0) 5))))) (+ (* h4 (/ h1 (* (+ (* h0 (/ 1 (sqrt h0))) 1) (pow (sqrt h0) 3)))) (- (* h5 (/ (pow h1 2) (* (pow (+ (* h0 (/ 1 (sqrt h0))) 1) 2) (pow (sqrt h0) 6)))) (+ (* h3 (/ h1 (* (+ (* h0 (/ 1 (sqrt h0))) 1) (pow (sqrt h0) 2)))) (- (+ (* h3 (/ (pow h1 2) (* (+ (* h0 (/ 1 (sqrt h0))) 1) (pow (sqrt h0) 3)))) (- (+ (* h3 (/ (pow h1 2) (* (+ (* h0 (/ 1 (sqrt h0))) 1) (pow (sqrt h0) 2)))) (- (+ (* h3 (/ (pow h1 2) (* (+ (* h0 (/ 1 (sqrt h0))) 1) (pow (sqrt h0) 4)))) (- (+ (* h3 (/ (pow h1 2) (* (pow (+ (* h0 (/ 1 (sqrt h0))) 1) 2) (pow (sqrt h0) 5)))) (- (* h3 (/ (pow h1 2) (* (pow (+ (* h0 (/ 1 (sqrt h0))) 1) 2) (pow (sqrt h0) 4))))))))))))))))) (- (log (- h3)) (+ (* h3 (/ 1 (pow h1 2))) (- (* h3 (/ 1 h1))))) (- (log (- h3)) (+ (* h3 (/ 1 (pow h1 2))) (- (* h3 (/ 1 h1))))) (- (+ (sqrt h0) (* 1/2 (/ h1 (sqrt h0)))) (* 1/8 (/ (pow h1 2) (pow (sqrt h0) 3)))) (- (+ (* h3 (/ 1 (pow h1 2))) (- (+ (* h3 (/ 1 h1)) (- h3))))) (- (+ (* h3 (/ 1 (pow h1 2))) (- (+ (* h3 (/ 1 h1)) (- h3))))) 2.301 * * [simplify]: iteration 0 : 637 enodes (cost 1126 ) 2.312 * * [simplify]: iteration 1 : 2696 enodes (cost 999 ) 2.354 * * [simplify]: iteration 2 : 5001 enodes (cost 965 ) 2.359 * [simplify]: Simplified to: (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt 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0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt 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1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (+ 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (log1p (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (exp (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (pow (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) 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1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (fma (/ 1.0 (sqrt 1.0)) 1 (+ (- (* (/ (/ (pow x 2) (fma 1.0 (/ 1 (sqrt 1.0)) 1)) (pow (sqrt 1.0) 6)) 0.375) (* (/ (/ x (fma 1.0 (/ 1 (sqrt 1.0)) 1)) (pow (sqrt 1.0) 4)) 0.5)) (+ (- (* (/ (/ x (fma 1.0 (/ 1 (sqrt 1.0)) 1)) (pow (sqrt 1.0) 3)) +nan.0) (* (/ (/ (pow x 2) (fma 1.0 (/ 1 (sqrt 1.0)) 1)) (pow (sqrt 1.0) 3)) +nan.0)) (+ (- (* (/ +nan.0 1.0) (/ (pow x 2) (fma 1.0 (/ 1 (sqrt 1.0)) 1))) (* (/ +nan.0 (fma 1.0 (/ 1 (sqrt 1.0)) 1)) (* (/ x 1.0) (/ x 1.0)))) (+ (- (* (/ +nan.0 1.0) (/ x (fma 1.0 (/ 1 (sqrt 1.0)) 1))) (* +nan.0 (/ (pow x 2) (* (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) 2) (pow (sqrt 1.0) 6))))) (+ (- (* +nan.0 (/ (pow x 2) (* (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) 2) (pow (sqrt 1.0) 5)))) (* (/ (/ (pow x 2) (fma 1.0 (/ 1 (sqrt 1.0)) 1)) (pow (sqrt 1.0) 5)) +nan.0)) (* (/ +nan.0 (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) 2)) (* (/ x 1.0) (/ x 1.0))))))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (fma 0.375 (/ (/ (pow x 2) (fma 1.0 (/ 1 (sqrt 1.0)) 1)) (pow (sqrt 1.0) 5)) (log1p (* 1.0 (/ 1 (sqrt 1.0))))) (fma 0.5 (/ (/ x (fma 1.0 (/ 1 (sqrt 1.0)) 1)) (pow (sqrt 1.0) 3)) (* 0.125 (/ (pow x 2) (* (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) 2) (pow (sqrt 1.0) 6)))))) (+ (- (* (/ +nan.0 1.0) (/ x (fma 1.0 (/ 1 (sqrt 1.0)) 1))) (* (/ (/ (pow x 2) (fma 1.0 (/ 1 (sqrt 1.0)) 1)) (pow (sqrt 1.0) 3)) +nan.0)) (+ (- (* (/ +nan.0 1.0) (/ (pow x 2) (fma 1.0 (/ 1 (sqrt 1.0)) 1))) (* (/ +nan.0 (fma 1.0 (/ 1 (sqrt 1.0)) 1)) (* (/ x 1.0) (/ x 1.0)))) (* +nan.0 (+ (/ (pow x 2) (* (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) 2) (pow (sqrt 1.0) 5))) (/ (- (/ (pow x 2) (pow (+ (* 1.0 (/ 1 (sqrt 1.0))) 1) 2))) (* 1.0 1.0))))))) (- (- (log (- +nan.0)) (/ (- +nan.0) x)) (* +nan.0 (/ 1 (pow x 2)))) (- (- (log (- +nan.0)) (/ (- +nan.0) x)) (* +nan.0 (/ 1 (pow x 2)))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) 2.360 * * * [progress]: adding candidates to table 2.609 * * [progress]: iteration 4 / 4 2.609 * * * [progress]: picking best candidate 2.631 * * * * [pick]: Picked # 2.631 * * * [progress]: localizing error 2.645 * * * [progress]: generating rewritten candidates 2.645 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 2.692 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.752 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 2) 2.762 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 1) 2.779 * * * [progress]: generating series expansions 2.779 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 2.779 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 2.779 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.779 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.779 * [taylor]: Taking taylor expansion of x in x 2.779 * [taylor]: Taking taylor expansion of 1.0 in x 2.781 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.781 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.781 * [taylor]: Taking taylor expansion of x in x 2.781 * [taylor]: Taking taylor expansion of 1.0 in x 2.790 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 2.790 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.790 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.790 * [taylor]: Taking taylor expansion of 1.0 in x 2.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.790 * [taylor]: Taking taylor expansion of x in x 2.792 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.792 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.792 * [taylor]: Taking taylor expansion of 1.0 in x 2.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.792 * [taylor]: Taking taylor expansion of x in x 2.798 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 2.798 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.798 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.798 * [taylor]: Taking taylor expansion of 1.0 in x 2.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.798 * [taylor]: Taking taylor expansion of x in x 2.800 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.800 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.800 * [taylor]: Taking taylor expansion of 1.0 in x 2.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.800 * [taylor]: Taking taylor expansion of x in x 2.808 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.808 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.808 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.808 * [taylor]: Taking taylor expansion of 1.0 in x 2.808 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.808 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.808 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.808 * [taylor]: Taking taylor expansion of x in x 2.808 * [taylor]: Taking taylor expansion of 1.0 in x 2.810 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.810 * [taylor]: Taking taylor expansion of x in x 2.812 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.812 * [taylor]: Taking taylor expansion of 1.0 in x 2.812 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.812 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.812 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.812 * [taylor]: Taking taylor expansion of x in x 2.812 * [taylor]: Taking taylor expansion of 1.0 in x 2.813 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.813 * [taylor]: Taking taylor expansion of x in x 2.890 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.890 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.890 * [taylor]: Taking taylor expansion of 1.0 in x 2.890 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.890 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.890 * [taylor]: Taking taylor expansion of x in x 2.892 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.892 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.892 * [taylor]: Taking taylor expansion of 1.0 in x 2.892 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.892 * [taylor]: Taking taylor expansion of x in x 2.894 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.894 * [taylor]: Taking taylor expansion of 1.0 in x 2.894 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.894 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.894 * [taylor]: Taking taylor expansion of x in x 2.895 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.896 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.896 * [taylor]: Taking taylor expansion of 1.0 in x 2.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.896 * [taylor]: Taking taylor expansion of x in x 2.914 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.914 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.914 * [taylor]: Taking taylor expansion of 1.0 in x 2.914 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.914 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.914 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.914 * [taylor]: Taking taylor expansion of -1 in x 2.914 * [taylor]: Taking taylor expansion of x in x 2.915 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.915 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.915 * [taylor]: Taking taylor expansion of 1.0 in x 2.915 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.916 * [taylor]: Taking taylor expansion of x in x 2.918 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.918 * [taylor]: Taking taylor expansion of 1.0 in x 2.918 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.918 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.918 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.918 * [taylor]: Taking taylor expansion of -1 in x 2.918 * [taylor]: Taking taylor expansion of x in x 2.919 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.919 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.919 * [taylor]: Taking taylor expansion of 1.0 in x 2.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.919 * [taylor]: Taking taylor expansion of x in x 2.945 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 2) 2.945 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 2.945 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 2.945 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 2.945 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 2.945 * [taylor]: Taking taylor expansion of 1/4 in x 2.945 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 2.945 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.945 * [taylor]: Taking taylor expansion of x in x 2.945 * [taylor]: Taking taylor expansion of 1.0 in x 2.947 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 2.947 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 2.947 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 2.947 * [taylor]: Taking taylor expansion of 1/4 in x 2.947 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 2.947 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.947 * [taylor]: Taking taylor expansion of x in x 2.947 * [taylor]: Taking taylor expansion of 1.0 in x 2.980 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 2.980 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 2.980 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 2.980 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 2.980 * [taylor]: Taking taylor expansion of 1/4 in x 2.980 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 2.980 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.980 * [taylor]: Taking taylor expansion of 1.0 in x 2.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.980 * [taylor]: Taking taylor expansion of x in x 2.981 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 2.981 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 2.981 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 2.981 * [taylor]: Taking taylor expansion of 1/4 in x 2.981 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 2.981 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.981 * [taylor]: Taking taylor expansion of 1.0 in x 2.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.981 * [taylor]: Taking taylor expansion of x in x 2.999 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 2.999 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 3.000 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 3.000 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 3.000 * [taylor]: Taking taylor expansion of 1/4 in x 3.000 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 3.000 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.000 * [taylor]: Taking taylor expansion of 1.0 in x 3.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.000 * [taylor]: Taking taylor expansion of x in x 3.002 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 3.002 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 3.002 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 3.002 * [taylor]: Taking taylor expansion of 1/4 in x 3.002 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 3.002 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.002 * [taylor]: Taking taylor expansion of 1.0 in x 3.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.002 * [taylor]: Taking taylor expansion of x in x 3.034 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 1) 3.034 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 3.034 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 3.034 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 3.034 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 3.034 * [taylor]: Taking taylor expansion of 1/4 in x 3.034 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 3.034 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.034 * [taylor]: Taking taylor expansion of x in x 3.034 * [taylor]: Taking taylor expansion of 1.0 in x 3.036 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 3.036 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 3.036 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 3.036 * [taylor]: Taking taylor expansion of 1/4 in x 3.036 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 3.036 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.036 * [taylor]: Taking taylor expansion of x in x 3.036 * [taylor]: Taking taylor expansion of 1.0 in x 3.068 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 3.068 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 3.068 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 3.068 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 3.068 * [taylor]: Taking taylor expansion of 1/4 in x 3.068 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 3.068 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.068 * [taylor]: Taking taylor expansion of 1.0 in x 3.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.068 * [taylor]: Taking taylor expansion of x in x 3.069 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 3.069 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 3.069 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 3.069 * [taylor]: Taking taylor expansion of 1/4 in x 3.069 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 3.069 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.069 * [taylor]: Taking taylor expansion of 1.0 in x 3.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.069 * [taylor]: Taking taylor expansion of x in x 3.086 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 3.087 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 3.087 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 3.087 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 3.087 * [taylor]: Taking taylor expansion of 1/4 in x 3.087 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 3.087 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.087 * [taylor]: Taking taylor expansion of 1.0 in x 3.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.087 * [taylor]: Taking taylor expansion of x in x 3.088 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 3.089 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 3.089 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 3.089 * [taylor]: Taking taylor expansion of 1/4 in x 3.089 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 3.089 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.089 * [taylor]: Taking taylor expansion of 1.0 in x 3.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.089 * [taylor]: Taking taylor expansion of x in x 3.118 * * * [progress]: simplifying candidates 3.121 * [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))))) (* (* (* (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))))) (* (cbrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (cbrt (* (sqrt (sqrt (+ x 1.0))) (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 (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (sqrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (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) (* x 1.0)))))) (* (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (- (* x x) (* 1.0 1.0))))) (* (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (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) (* 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))))) (* (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 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x 1.0))) (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 1) (sqrt 1)) (* (sqrt (sqrt (+ x 1.0))) (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))))) (* 1 1) (* (sqrt (sqrt (+ x 1.0))) (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)))) (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 (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (- (log (+ 1.0 0)) (log (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (log (/ (+ 1.0 0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (+ (* (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)))) (sqrt x)))) (* (cbrt (/ (+ 1.0 0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (* (* (/ (+ 1.0 0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))) (/ (+ 1.0 0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (/ (+ 1.0 0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 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1/4) (+ (* 0.25 x) (* 0.03125 (pow x 2))) (- (pow 1.0 1/4) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4))))) (fma (pow (/ 1 (pow x 3)) 1/4) 0.25 (- (pow (/ 1 x) -1/4) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4)))) (fma 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))))) 3.202 * * * [progress]: adding candidates to table 3.657 * [progress]: [Phase 3 of 3] Extracting. 3.657 * * [regime]: Finding splitpoints for: (# # # # # # # #) 3.659 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.659 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 3.689 * * * [regime]: Found split indices: #