5.948 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.025 * [simplify]: Sending expressions to egg_math: (- (sqrt (+ h0 h1)) (sqrt h0)) 0.027 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.029 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.030 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.030 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.088 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.099 * * * [progress]: generating series expansions 0.099 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.099 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.099 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.099 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.099 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.102 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.123 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.123 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.123 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.123 * [taylor]: Taking taylor expansion of 1.0 in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.126 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.142 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.142 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.142 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.142 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.144 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.144 * [taylor]: Taking taylor expansion of -1 in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.145 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.145 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.147 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.147 * [taylor]: Taking taylor expansion of -1 in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.168 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.168 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 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 0.169 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.169 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.178 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.178 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.178 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.179 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.186 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.186 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.186 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.188 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.188 * [taylor]: Taking taylor expansion of 1.0 in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.195 * * * [progress]: simplifying candidates 0.197 * [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))))) 0.198 * [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))))) 0.204 * * [simplify]: iteration 0 : 299 enodes (cost 1162 ) 0.209 * * [simplify]: iteration 1 : 916 enodes (cost 822 ) 0.232 * * [simplify]: iteration 2 : 5001 enodes (cost 744 ) 0.235 * [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))))) 0.236 * * * [progress]: adding candidates to table 0.364 * * [progress]: iteration 2 / 4 0.364 * * * [progress]: picking best candidate 0.370 * * * * [pick]: Picked # 0.370 * * * [progress]: localizing error 0.380 * * * [progress]: generating rewritten candidates 0.380 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.432 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.445 * * * [progress]: generating series expansions 0.445 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.446 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.446 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.446 * [taylor]: Taking taylor expansion of 1.0 in x 0.446 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.446 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.446 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of 1.0 in x 0.448 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.450 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.450 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.532 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.532 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.532 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.534 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.534 * [taylor]: Taking taylor expansion of 1.0 in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.534 * [taylor]: Taking taylor expansion of x in x 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 0.556 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.556 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.556 * [taylor]: Taking taylor expansion of 1.0 in x 0.556 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.556 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.556 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.556 * [taylor]: Taking taylor expansion of -1 in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.557 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.557 * [taylor]: Taking taylor expansion of 1.0 in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.560 * [taylor]: Taking taylor expansion of 1.0 in x 0.560 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.560 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.560 * [taylor]: Taking taylor expansion of -1 in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.561 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.561 * [taylor]: Taking taylor expansion of 1.0 in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.581 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.581 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.581 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.581 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.582 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.582 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.591 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.591 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.591 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.593 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.593 * [taylor]: Taking taylor expansion of 1.0 in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.599 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.599 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.599 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.601 * [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 0.615 * * * [progress]: simplifying candidates 0.617 * [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))))) 0.617 * [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))))) 0.622 * * [simplify]: iteration 0 : 371 enodes (cost 654 ) 0.630 * * [simplify]: iteration 1 : 1550 enodes (cost 602 ) 0.658 * * [simplify]: iteration 2 : 5002 enodes (cost 560 ) 0.660 * [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))))) 0.661 * * * [progress]: adding candidates to table 0.799 * * [progress]: iteration 3 / 4 0.799 * * * [progress]: picking best candidate 0.819 * * * * [pick]: Picked # 0.819 * * * [progress]: localizing error 0.830 * * * [progress]: generating rewritten candidates 0.830 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.886 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.886 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.887 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 0.896 * * * [progress]: generating series expansions 0.897 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.897 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.897 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.897 * [taylor]: Taking taylor expansion of 1.0 in x 0.897 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.897 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.897 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of 1.0 in x 0.899 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.901 * [taylor]: Taking taylor expansion of 1.0 in x 0.901 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.901 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.901 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of 1.0 in x 0.903 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.982 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.982 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.983 * [taylor]: Taking taylor expansion of 1.0 in x 0.983 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.983 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.984 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.984 * [taylor]: Taking taylor expansion of 1.0 in x 0.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.986 * [taylor]: Taking taylor expansion of 1.0 in x 0.986 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.986 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.986 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.987 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.987 * [taylor]: Taking taylor expansion of 1.0 in x 0.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.987 * [taylor]: Taking taylor expansion of x in x 1.007 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.007 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.007 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.007 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.007 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.007 * [taylor]: Taking taylor expansion of -1 in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.009 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.009 * [taylor]: Taking taylor expansion of 1.0 in x 1.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.011 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.011 * [taylor]: Taking taylor expansion of 1.0 in x 1.011 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.011 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.011 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.011 * [taylor]: Taking taylor expansion of -1 in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.012 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.013 * [taylor]: Taking taylor expansion of 1.0 in x 1.013 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.032 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.032 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 1.033 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.033 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 1) 1.033 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.033 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.033 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 1.033 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.033 * [taylor]: Taking taylor expansion of 1 in x 1.033 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.033 * [taylor]: Taking taylor expansion of 1.0 in x 1.033 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.033 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.033 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of 1.0 in x 1.035 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of 1 in x 1.049 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.049 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 1) 1.049 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.049 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.049 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 1.049 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.049 * [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 1.051 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of 1 in x 1.739 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 1.739 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.739 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 1) 1.739 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.739 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.739 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 1.739 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.739 * [taylor]: Taking taylor expansion of 1 in x 1.739 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.739 * [taylor]: Taking taylor expansion of 1.0 in x 1.739 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.739 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.739 * [taylor]: Taking taylor expansion of x in x 1.741 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.741 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.741 * [taylor]: Taking taylor expansion of 1.0 in x 1.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.741 * [taylor]: Taking taylor expansion of x in x 1.745 * [taylor]: Taking taylor expansion of 1 in x 1.745 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.745 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 1) 1.745 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.745 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.745 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 1.745 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.745 * [taylor]: Taking taylor expansion of 1 in x 1.745 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.745 * [taylor]: Taking taylor expansion of 1.0 in x 1.745 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.745 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.745 * [taylor]: Taking taylor expansion of x in x 1.746 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.746 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.746 * [taylor]: Taking taylor expansion of 1.0 in x 1.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.746 * [taylor]: Taking taylor expansion of x in x 1.750 * [taylor]: Taking taylor expansion of 1 in x 1.798 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 1.798 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.798 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 1) 1.798 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.798 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.798 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 1.799 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.799 * [taylor]: Taking taylor expansion of 1 in x 1.799 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.799 * [taylor]: Taking taylor expansion of 1.0 in x 1.799 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.799 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.799 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.799 * [taylor]: Taking taylor expansion of -1 in x 1.799 * [taylor]: Taking taylor expansion of x in x 1.800 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.800 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.800 * [taylor]: Taking taylor expansion of 1.0 in x 1.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.800 * [taylor]: Taking taylor expansion of x in x 1.804 * [taylor]: Taking taylor expansion of 1 in x 1.804 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.804 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 1) 1.804 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.804 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.804 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 1.804 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.804 * [taylor]: Taking taylor expansion of 1 in x 1.804 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.804 * [taylor]: Taking taylor expansion of 1.0 in x 1.804 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.804 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.805 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.805 * [taylor]: Taking taylor expansion of -1 in x 1.805 * [taylor]: Taking taylor expansion of x in x 1.806 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.806 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.806 * [taylor]: Taking taylor expansion of 1.0 in x 1.806 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.806 * [taylor]: Taking taylor expansion of x in x 1.810 * [taylor]: Taking taylor expansion of 1 in x 1.852 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.853 * [approximate]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in (x) around 0 1.853 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.853 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 1.853 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.853 * [taylor]: Taking taylor expansion of 1 in x 1.853 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.853 * [taylor]: Taking taylor expansion of 1.0 in x 1.853 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.853 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.853 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.853 * [taylor]: Taking taylor expansion of x in x 1.853 * [taylor]: Taking taylor expansion of 1.0 in x 1.854 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.855 * [taylor]: Taking taylor expansion of x in x 1.859 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.859 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 1.859 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.859 * [taylor]: Taking taylor expansion of 1 in x 1.859 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.859 * [taylor]: Taking taylor expansion of 1.0 in x 1.860 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.860 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.860 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.860 * [taylor]: Taking taylor expansion of x in x 1.860 * [taylor]: Taking taylor expansion of 1.0 in x 1.861 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.861 * [taylor]: Taking taylor expansion of x in x 2.230 * [approximate]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in (x) around 0 2.230 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.230 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 2.230 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.230 * [taylor]: Taking taylor expansion of 1 in x 2.230 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.230 * [taylor]: Taking taylor expansion of 1.0 in x 2.230 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.230 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.230 * [taylor]: Taking taylor expansion of x in x 2.232 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.232 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.232 * [taylor]: Taking taylor expansion of 1.0 in x 2.232 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.232 * [taylor]: Taking taylor expansion of x in x 2.235 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.235 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 2.235 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.235 * [taylor]: Taking taylor expansion of 1 in x 2.235 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.235 * [taylor]: Taking taylor expansion of 1.0 in x 2.235 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.235 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.235 * [taylor]: Taking taylor expansion of x in x 2.236 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.236 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.236 * [taylor]: Taking taylor expansion of 1.0 in x 2.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.236 * [taylor]: Taking taylor expansion of x in x 2.272 * [approximate]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in (x) around 0 2.272 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.272 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 2.272 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.272 * [taylor]: Taking taylor expansion of 1 in x 2.272 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.272 * [taylor]: Taking taylor expansion of 1.0 in x 2.272 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.272 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.272 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.272 * [taylor]: Taking taylor expansion of -1 in x 2.272 * [taylor]: Taking taylor expansion of x in x 2.273 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.273 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.273 * [taylor]: Taking taylor expansion of 1.0 in x 2.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.273 * [taylor]: Taking taylor expansion of x in x 2.277 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.277 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 2.277 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.277 * [taylor]: Taking taylor expansion of 1 in x 2.277 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.277 * [taylor]: Taking taylor expansion of 1.0 in x 2.277 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.277 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.277 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.277 * [taylor]: Taking taylor expansion of -1 in x 2.277 * [taylor]: Taking taylor expansion of x in x 2.278 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.278 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.278 * [taylor]: Taking taylor expansion of 1.0 in x 2.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.278 * [taylor]: Taking taylor expansion of x in x 2.321 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 2.321 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 2.321 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.321 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.321 * [taylor]: Taking taylor expansion of x in x 2.322 * [taylor]: Taking taylor expansion of 1.0 in x 2.323 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.323 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.323 * [taylor]: Taking taylor expansion of x in x 2.323 * [taylor]: Taking taylor expansion of 1.0 in x 2.332 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 2.332 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.332 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.332 * [taylor]: Taking taylor expansion of 1.0 in x 2.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.332 * [taylor]: Taking taylor expansion of x in x 2.333 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.334 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.334 * [taylor]: Taking taylor expansion of 1.0 in x 2.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.334 * [taylor]: Taking taylor expansion of x in x 2.340 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 2.340 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.340 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.340 * [taylor]: Taking taylor expansion of 1.0 in x 2.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.341 * [taylor]: Taking taylor expansion of x in x 2.342 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.342 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.342 * [taylor]: Taking taylor expansion of 1.0 in x 2.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.342 * [taylor]: Taking taylor expansion of x in x 2.350 * * * [progress]: simplifying candidates 2.352 * [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))))) 2.353 * [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 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(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))))) 2.361 * * [simplify]: iteration 0 : 637 enodes (cost 1126 ) 2.372 * * [simplify]: iteration 1 : 2696 enodes (cost 999 ) 2.417 * * [simplify]: iteration 2 : 5001 enodes (cost 965 ) 2.421 * [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))) 2.422 * * * [progress]: adding candidates to table 2.691 * * [progress]: iteration 4 / 4 2.691 * * * [progress]: picking best candidate 2.708 * * * * [pick]: Picked # 2.708 * * * [progress]: localizing error 2.722 * * * [progress]: generating rewritten candidates 2.722 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 2.770 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.827 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 2) 2.835 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 1) 2.849 * * * [progress]: generating series expansions 2.849 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 2.849 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 2.849 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.849 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.849 * [taylor]: Taking taylor expansion of x in x 2.849 * [taylor]: Taking taylor expansion of 1.0 in x 2.852 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.852 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.852 * [taylor]: Taking taylor expansion of x in x 2.852 * [taylor]: Taking taylor expansion of 1.0 in x 2.861 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 2.861 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.861 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.861 * [taylor]: Taking taylor expansion of 1.0 in x 2.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.861 * [taylor]: Taking taylor expansion of x in x 2.862 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.862 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.862 * [taylor]: Taking taylor expansion of 1.0 in x 2.863 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.863 * [taylor]: Taking taylor expansion of x in x 2.869 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 2.869 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.869 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.869 * [taylor]: Taking taylor expansion of 1.0 in x 2.869 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.869 * [taylor]: Taking taylor expansion of x in x 2.871 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.871 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.871 * [taylor]: Taking taylor expansion of 1.0 in x 2.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.871 * [taylor]: Taking taylor expansion of x in x 2.883 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.884 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.884 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.884 * [taylor]: Taking taylor expansion of 1.0 in x 2.884 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.884 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.884 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.884 * [taylor]: Taking taylor expansion of x in x 2.884 * [taylor]: Taking taylor expansion of 1.0 in x 2.885 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.885 * [taylor]: Taking taylor expansion of x in x 2.887 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.887 * [taylor]: Taking taylor expansion of 1.0 in x 2.887 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.887 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.887 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.887 * [taylor]: Taking taylor expansion of x in x 2.887 * [taylor]: Taking taylor expansion of 1.0 in x 2.889 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.889 * [taylor]: Taking taylor expansion of x in x 2.965 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.965 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.965 * [taylor]: Taking taylor expansion of 1.0 in x 2.965 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.965 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.966 * [taylor]: Taking taylor expansion of x in x 2.967 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.967 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.967 * [taylor]: Taking taylor expansion of 1.0 in x 2.967 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.967 * [taylor]: Taking taylor expansion of x in x 2.969 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.969 * [taylor]: Taking taylor expansion of 1.0 in x 2.969 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.969 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.969 * [taylor]: Taking taylor expansion of x in x 2.970 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.970 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.970 * [taylor]: Taking taylor expansion of 1.0 in x 2.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.970 * [taylor]: Taking taylor expansion of x in x 2.989 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.989 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.989 * [taylor]: Taking taylor expansion of 1.0 in x 2.989 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.989 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.989 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.989 * [taylor]: Taking taylor expansion of -1 in x 2.989 * [taylor]: Taking taylor expansion of x in x 2.990 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.990 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.990 * [taylor]: Taking taylor expansion of 1.0 in x 2.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.990 * [taylor]: Taking taylor expansion of x in x 2.993 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.993 * [taylor]: Taking taylor expansion of 1.0 in x 2.993 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.993 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.993 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.993 * [taylor]: Taking taylor expansion of -1 in x 2.993 * [taylor]: Taking taylor expansion of x in x 2.994 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.994 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.994 * [taylor]: Taking taylor expansion of 1.0 in x 2.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.994 * [taylor]: Taking taylor expansion of x in x 3.013 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 2) 3.013 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 3.013 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 3.013 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 3.013 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 3.013 * [taylor]: Taking taylor expansion of 1/4 in x 3.013 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 3.013 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.013 * [taylor]: Taking taylor expansion of x in x 3.013 * [taylor]: Taking taylor expansion of 1.0 in x 3.015 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 3.015 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 3.015 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 3.015 * [taylor]: Taking taylor expansion of 1/4 in x 3.015 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 3.015 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.015 * [taylor]: Taking taylor expansion of x in x 3.015 * [taylor]: Taking taylor expansion of 1.0 in x 3.054 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 3.054 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 3.054 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 3.054 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 3.054 * [taylor]: Taking taylor expansion of 1/4 in x 3.054 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 3.054 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.054 * [taylor]: Taking taylor expansion of 1.0 in x 3.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.054 * [taylor]: Taking taylor expansion of x in x 3.055 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 3.055 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 3.055 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 3.055 * [taylor]: Taking taylor expansion of 1/4 in x 3.055 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 3.055 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.055 * [taylor]: Taking taylor expansion of 1.0 in x 3.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.055 * [taylor]: Taking taylor expansion of x in x 3.073 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 3.073 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 3.073 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 3.073 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 3.073 * [taylor]: Taking taylor expansion of 1/4 in x 3.073 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 3.073 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.073 * [taylor]: Taking taylor expansion of 1.0 in x 3.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.073 * [taylor]: Taking taylor expansion of x in x 3.075 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 3.075 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 3.075 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 3.075 * [taylor]: Taking taylor expansion of 1/4 in x 3.075 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 3.075 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.075 * [taylor]: Taking taylor expansion of 1.0 in x 3.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.075 * [taylor]: Taking taylor expansion of x in x 3.098 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 1) 3.098 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 3.098 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 3.098 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 3.098 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 3.098 * [taylor]: Taking taylor expansion of 1/4 in x 3.098 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 3.098 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.098 * [taylor]: Taking taylor expansion of x in x 3.098 * [taylor]: Taking taylor expansion of 1.0 in x 3.100 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 3.100 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 3.100 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 3.100 * [taylor]: Taking taylor expansion of 1/4 in x 3.100 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 3.100 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.100 * [taylor]: Taking taylor expansion of x in x 3.100 * [taylor]: Taking taylor expansion of 1.0 in x 3.139 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 3.139 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 3.139 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 3.139 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 3.139 * [taylor]: Taking taylor expansion of 1/4 in x 3.139 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 3.139 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.139 * [taylor]: Taking taylor expansion of 1.0 in x 3.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.139 * [taylor]: Taking taylor expansion of x in x 3.140 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 3.140 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 3.140 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 3.140 * [taylor]: Taking taylor expansion of 1/4 in x 3.140 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 3.140 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.140 * [taylor]: Taking taylor expansion of 1.0 in x 3.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.140 * [taylor]: Taking taylor expansion of x in x 3.159 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 3.159 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 3.159 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 3.159 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 3.159 * [taylor]: Taking taylor expansion of 1/4 in x 3.159 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 3.159 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.159 * [taylor]: Taking taylor expansion of 1.0 in x 3.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.159 * [taylor]: Taking taylor expansion of x in x 3.161 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 3.161 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 3.161 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 3.161 * [taylor]: Taking taylor expansion of 1/4 in x 3.161 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 3.161 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.161 * [taylor]: Taking taylor expansion of 1.0 in x 3.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.161 * [taylor]: Taking taylor expansion of x in x 3.184 * * * [progress]: simplifying candidates 3.188 * [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))))) 3.270 * * * [progress]: adding candidates to table 3.713 * [progress]: [Phase 3 of 3] Extracting. 3.713 * * [regime]: Finding splitpoints for: (# # # # # # # #) 3.716 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.716 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 3.750 * * * [regime]: Found split indices: #