27.980 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (/ x (+ 1.0 (sqrt (+ x 1.0)))) 0.015 * [simplify]: Sending expressions to egg_math: (/ h0 (+ h1 (sqrt (+ h0 h1)))) 0.017 * * [simplify]: iteration 0 : 8 enodes (cost 4 ) 0.018 * * [simplify]: iteration 1 : 8 enodes (cost 4 ) 0.018 * [simplify]: Simplified to: (/ x (+ 1.0 (sqrt (+ x 1.0)))) 0.018 * * [progress]: iteration 1 / 4 0.018 * * * [progress]: picking best candidate 0.019 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.059 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.068 * * * [progress]: generating series expansions 0.068 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.068 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.068 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.068 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.068 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.071 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.129 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.129 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.129 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.136 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.136 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.136 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.159 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.159 * [taylor]: Taking taylor expansion of -1 in x 0.159 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.159 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.159 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.166 * [taylor]: Taking taylor expansion of -1 in x 0.167 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.167 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.167 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.167 * [taylor]: Taking taylor expansion of 1.0 in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.196 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.196 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.196 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of 1.0 in x 0.198 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.198 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of 1.0 in x 0.206 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.206 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.206 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.206 * [taylor]: Taking taylor expansion of 1.0 in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.207 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.207 * [taylor]: Taking taylor expansion of 1.0 in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.214 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.214 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.214 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.214 * [taylor]: Taking taylor expansion of 1.0 in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.216 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.216 * [taylor]: Taking taylor expansion of 1.0 in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.222 * * * [progress]: simplifying candidates 0.223 * [simplify]: Simplifying using # : (expm1 (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log1p (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ x (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (* x x) x) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (* (* (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ x (+ 1.0 (sqrt (+ x 1.0))))) (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- x) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 1) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 1) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x 1) (/ x 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ x (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +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))))) 0.224 * [simplify]: Sending expressions to egg_math: (expm1 (/ h0 (+ h1 (sqrt (+ h0 h1))))) (log1p (/ h0 (+ h1 (sqrt (+ h0 h1))))) (- (log h0) (log (+ h1 (sqrt (+ h0 h1))))) (log (/ h0 (+ h1 (sqrt (+ h0 h1))))) (exp (/ h0 (+ h1 (sqrt (+ h0 h1))))) (/ (* (* h0 h0) h0) (* (* (+ h1 (sqrt (+ h0 h1))) (+ h1 (sqrt (+ h0 h1)))) (+ h1 (sqrt (+ h0 h1))))) (* (cbrt (/ h0 (+ h1 (sqrt (+ h0 h1))))) (cbrt (/ h0 (+ h1 (sqrt (+ h0 h1)))))) (cbrt (/ h0 (+ h1 (sqrt (+ h0 h1))))) (* (* (/ h0 (+ h1 (sqrt (+ h0 h1)))) (/ h0 (+ h1 (sqrt (+ h0 h1))))) (/ h0 (+ h1 (sqrt (+ h0 h1))))) (sqrt (/ h0 (+ h1 (sqrt (+ h0 h1))))) (sqrt (/ h0 (+ h1 (sqrt (+ h0 h1))))) (- h0) (- (+ h1 (sqrt (+ h0 h1)))) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1)))))) (/ (cbrt h0) (cbrt (+ h1 (sqrt (+ h0 h1))))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ (cbrt h0) (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h1 (sqrt (+ h0 h1)))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h1 (sqrt (+ h0 h1)))) (/ (sqrt h0) (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1)))))) (/ (sqrt h0) (cbrt (+ h1 (sqrt (+ h0 h1))))) (/ (sqrt h0) (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ (sqrt h0) (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1)))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1)))) (/ 1 (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1)))))) (/ h0 (cbrt (+ h1 (sqrt (+ h0 h1))))) (/ 1 (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ h0 (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ 1 1) (/ h0 (+ h1 (sqrt (+ h0 h1)))) (/ 1 1) (/ h0 (+ h1 (sqrt (+ h0 h1)))) (/ 1 (+ h1 (sqrt (+ h0 h1)))) (/ (+ h1 (sqrt (+ h0 h1))) h0) (/ h0 (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1)))))) (/ h0 (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ h0 1) (/ h0 1) (/ (+ h1 (sqrt (+ h0 h1))) (cbrt h0)) (/ (+ h1 (sqrt (+ h0 h1))) (sqrt h0)) (/ (+ h1 (sqrt (+ h0 h1))) h0) (/ h0 (+ (pow h1 3) (pow (sqrt (+ h0 h1)) 3))) (/ h0 (- (* h1 h1) (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))))) (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))) (- (+ (/ h0 (+ (sqrt h1) h1)) (+ (* 1/8 (/ (pow h0 3) (* (pow (sqrt h1) 3) (pow (+ (sqrt h1) h1) 2)))) (* 1/4 (/ (pow h0 3) (* (pow (sqrt h1) 2) (pow (+ (sqrt h1) h1) 3)))))) (* 1/2 (/ (pow h0 2) (* (sqrt h1) (pow (+ (sqrt h1) h1) 2))))) (- (+ h2 (- (+ (* h2 h0) (- (* h2 (/ 1 h0))))))) (- (+ h2 (- (+ (* h2 h0) (- (* h2 (/ 1 h0))))))) (- (+ (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))))) 0.228 * * [simplify]: iteration 0 : 304 enodes (cost 400 ) 0.234 * * [simplify]: iteration 1 : 1151 enodes (cost 366 ) 0.254 * * [simplify]: iteration 2 : 5002 enodes (cost 357 ) 0.257 * [simplify]: Simplified to: (expm1 (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log1p (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ x (+ 1.0 (sqrt (+ x 1.0))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (* (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- x) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) x x (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ x (- (- (* 1.0 1.0) x) 1.0)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (hypot (pow 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) (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))) (fma 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2))) (+ (* (/ 1/4 1.0) (/ (pow x 3) (pow (+ (sqrt 1.0) 1.0) 3))) (/ x (+ (sqrt 1.0) 1.0))))) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (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))))) 0.257 * * * [progress]: adding candidates to table 0.363 * * [progress]: iteration 2 / 4 0.364 * * * [progress]: picking best candidate 0.368 * * * * [pick]: Picked # 0.368 * * * [progress]: localizing error 0.374 * * * [progress]: generating rewritten candidates 0.374 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.446 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.480 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2 2) 0.491 * * * [progress]: generating series expansions 0.491 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.491 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.491 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.491 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.491 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of 1.0 in x 0.493 * [taylor]: Taking taylor expansion of 1.0 in x 0.494 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.494 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.494 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.551 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.551 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.551 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.551 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.551 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.551 * [taylor]: Taking taylor expansion of 1.0 in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.559 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.559 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.559 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of 1.0 in x 0.582 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.582 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.582 * [taylor]: Taking taylor expansion of -1 in x 0.582 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.582 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.582 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.582 * [taylor]: Taking taylor expansion of 1.0 in x 0.582 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of 1.0 in x 0.589 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.589 * [taylor]: Taking taylor expansion of -1 in x 0.589 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.589 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.589 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.589 * [taylor]: Taking taylor expansion of 1.0 in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of 1.0 in x 0.619 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.619 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.619 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 0.619 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.619 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.620 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of 1.0 in x 0.621 * [taylor]: Taking taylor expansion of 1.0 in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 0.622 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.622 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.622 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of 1.0 in x 0.624 * [taylor]: Taking taylor expansion of 1.0 in x 0.673 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in (x) around 0 0.673 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.673 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.674 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.674 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.674 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.675 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.676 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.676 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.676 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.676 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of 1.0 in x 0.694 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 0.694 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.694 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.694 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.694 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.694 * [taylor]: Taking taylor expansion of 1.0 in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of 1.0 in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.697 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.697 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.697 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.697 * [taylor]: Taking taylor expansion of 1.0 in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of 1.0 in x 0.711 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2 2) 0.711 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.711 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.711 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of 1.0 in x 0.712 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.712 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of 1.0 in x 0.720 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.720 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.720 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.720 * [taylor]: Taking taylor expansion of 1.0 in x 0.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.722 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.722 * [taylor]: Taking taylor expansion of 1.0 in x 0.722 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.728 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.728 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.728 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.728 * [taylor]: Taking taylor expansion of 1.0 in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.730 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.730 * [taylor]: Taking taylor expansion of 1.0 in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.737 * * * [progress]: simplifying candidates 0.738 * [simplify]: Simplifying using # : (expm1 (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (log1p (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (+ (log x) (- (log (+ 1.0 (sqrt (+ x 1.0)))))) (+ (log x) (- 0 (log (+ 1.0 (sqrt (+ x 1.0)))))) (+ (log x) (- (log 1) (log (+ 1.0 (sqrt (+ x 1.0)))))) (+ (log x) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (log (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (exp (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* x x) x) (* (* (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))))) (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* x (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))))) (* x (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* x (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* x (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (* x (/ 1 (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))))) (* (cbrt x) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* x 1) (expm1 (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (log1p (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (- 1) (- (log (+ 1.0 (sqrt (+ x 1.0))))) (- 0 (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log 1) (log (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (* 1 1) 1) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* (* (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (- 1) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt 1) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt 1) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt 1) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 1) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 1) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) 1) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 1) (/ 1 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt 1)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt 1)) (/ (+ 1.0 (sqrt (+ x 1.0))) 1) (/ 1 (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ 1 (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ (/ 1 (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 2) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ x (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ (* +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))))) 0.739 * [simplify]: Sending expressions to egg_math: (expm1 (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (log1p (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1))))) (+ (log h0) (- (log (+ h1 (sqrt (+ h0 h1)))))) (+ (log h0) (- 0 (log (+ h1 (sqrt (+ h0 h1)))))) (+ (log h0) (- (log 1) (log (+ h1 (sqrt (+ h0 h1)))))) (+ (log h0) (log (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (log (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (exp (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (* (* (* h0 h0) h0) (/ (* (* 1 1) 1) (* (* (+ h1 (sqrt (+ h0 h1))) (+ h1 (sqrt (+ h0 h1)))) (+ h1 (sqrt (+ h0 h1)))))) (* (* (* h0 h0) h0) (* (* (/ 1 (+ h1 (sqrt (+ h0 h1)))) (/ 1 (+ h1 (sqrt (+ h0 h1))))) (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (* (cbrt (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (cbrt (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1))))))) (cbrt (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (* (* (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1))))) (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (sqrt (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (sqrt (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt h0) (sqrt (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt h0) (sqrt (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt h0) (/ (sqrt 1) (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt h0) (/ (sqrt 1) (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt h0) (/ 1 (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt h0) (/ 1 (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* h0 (* (cbrt (/ 1 (+ h1 (sqrt (+ h0 h1))))) (cbrt (/ 1 (+ h1 (sqrt (+ h0 h1))))))) (* h0 (sqrt (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (* h0 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1))))))) (* h0 (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* h0 (/ (* (cbrt 1) (cbrt 1)) 1)) (* h0 (/ (* (cbrt 1) (cbrt 1)) 1)) (* h0 (/ (sqrt 1) (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1))))))) (* h0 (/ (sqrt 1) (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* h0 (/ (sqrt 1) 1)) (* h0 (/ (sqrt 1) 1)) (* h0 (/ 1 (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1))))))) (* h0 (/ 1 (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* h0 (/ 1 1)) (* h0 (/ 1 1)) (* h0 1) (* h0 1) (* h0 (/ 1 (+ (pow h1 3) (pow (sqrt (+ h0 h1)) 3)))) (* h0 (/ 1 (- (* h1 h1) (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1)))))) (* (cbrt h0) (/ 1 (+ h1 (sqrt (+ h0 h1))))) (* (sqrt h0) (/ 1 (+ h1 (sqrt (+ h0 h1))))) (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1))))) (* h0 1) (expm1 (/ 1 (+ h1 (sqrt (+ h0 h1))))) (log1p (/ 1 (+ h1 (sqrt (+ h0 h1))))) (- 1) (- (log (+ h1 (sqrt (+ h0 h1))))) (- 0 (log (+ h1 (sqrt (+ h0 h1))))) (- (log 1) (log (+ h1 (sqrt (+ h0 h1))))) (log (/ 1 (+ h1 (sqrt (+ h0 h1))))) (exp (/ 1 (+ h1 (sqrt (+ h0 h1))))) (/ (* (* 1 1) 1) (* (* (+ h1 (sqrt (+ h0 h1))) (+ h1 (sqrt (+ h0 h1)))) (+ h1 (sqrt (+ h0 h1))))) (* (cbrt (/ 1 (+ h1 (sqrt (+ h0 h1))))) (cbrt (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (cbrt (/ 1 (+ h1 (sqrt (+ h0 h1))))) (* (* (/ 1 (+ h1 (sqrt (+ h0 h1)))) (/ 1 (+ h1 (sqrt (+ h0 h1))))) (/ 1 (+ h1 (sqrt (+ h0 h1))))) (sqrt (/ 1 (+ h1 (sqrt (+ h0 h1))))) (sqrt (/ 1 (+ h1 (sqrt (+ h0 h1))))) (- 1) (- (+ h1 (sqrt (+ h0 h1)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1)))))) (/ (cbrt 1) (cbrt (+ h1 (sqrt (+ h0 h1))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ (cbrt 1) (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ h1 (sqrt (+ h0 h1)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ h1 (sqrt (+ h0 h1)))) (/ (sqrt 1) (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1)))))) (/ (sqrt 1) (cbrt (+ h1 (sqrt (+ h0 h1))))) (/ (sqrt 1) (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ (sqrt 1) (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ h1 (sqrt (+ h0 h1)))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ h1 (sqrt (+ h0 h1)))) (/ 1 (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1)))))) (/ 1 (cbrt (+ h1 (sqrt (+ h0 h1))))) (/ 1 (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ 1 (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ 1 1) (/ 1 (+ h1 (sqrt (+ h0 h1)))) (/ 1 1) (/ 1 (+ h1 (sqrt (+ h0 h1)))) (/ 1 (+ h1 (sqrt (+ h0 h1)))) (/ (+ h1 (sqrt (+ h0 h1))) 1) (/ 1 (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1)))))) (/ 1 (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ 1 1) (/ 1 1) (/ (+ h1 (sqrt (+ h0 h1))) (cbrt 1)) (/ (+ h1 (sqrt (+ h0 h1))) (sqrt 1)) (/ (+ h1 (sqrt (+ h0 h1))) 1) (/ 1 (+ (pow h1 3) (pow (sqrt (+ h0 h1)) 3))) (/ 1 (- (* h1 h1) (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))))) (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))) (- (+ (/ h0 (+ (sqrt h1) h1)) (+ (* 1/8 (/ (pow h0 3) (* (pow (sqrt h1) 3) (pow (+ (sqrt h1) h1) 2)))) (* 1/4 (/ (pow h0 3) (* (pow (sqrt h1) 2) (pow (+ (sqrt h1) h1) 3)))))) (* 1/2 (/ (pow h0 2) (* (sqrt h1) (pow (+ (sqrt h1) h1) 2))))) (- (+ h2 (- (+ (* h2 h0) (- (* h2 (/ 1 h0))))))) (- (+ h2 (- (+ (* h2 h0) (- (* h2 (/ 1 h0))))))) (- (+ (/ 1 (+ (sqrt h1) h1)) (+ (* 1/8 (/ (pow h0 2) (* (pow (sqrt h1) 3) (pow (+ (sqrt h1) h1) 2)))) (* 1/4 (/ (pow h0 2) (* (pow (sqrt h1) 2) (pow (+ (sqrt h1) h1) 3)))))) (* 1/2 (/ h0 (* (sqrt h1) (pow (+ (sqrt h1) h1) 2))))) (- (+ (* 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))))) 0.744 * * [simplify]: iteration 0 : 442 enodes (cost 749 ) 0.753 * * [simplify]: iteration 1 : 1974 enodes (cost 650 ) 0.785 * * [simplify]: iteration 2 : 5001 enodes (cost 606 ) 0.788 * [simplify]: Simplified to: (expm1 (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (log1p (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (exp (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (* (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))))) (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (sqrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (/ (pow x 1/2) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (pow x 1/2) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (pow x 1/2) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (pow x 1/2) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (* x (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))))) (* x (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) x x (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) x x (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) x x x x (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ x (- (- (* 1.0 1.0) x) 1.0)) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ x (+ 1.0 (sqrt (+ x 1.0)))) x (expm1 (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (log1p (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (- 1) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (pow (+ 1.0 (sqrt (+ x 1.0))) 3)) (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (pow (+ 1.0 (sqrt (+ x 1.0))) 3)) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (- 1) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 1 (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (/ 1 (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ 1 (* (- (- (* 1.0 1.0) x) 1.0) 1)) (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) (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))) (fma 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2))) (+ (* (/ 1/4 1.0) (/ (pow x 3) (pow (+ (sqrt 1.0) 1.0) 3))) (/ x (+ (sqrt 1.0) 1.0))))) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (fma (- 1/2) (/ x (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))) (fma 1/8 (/ (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2))) (+ (* (/ 1/4 1.0) (/ (pow x 2) (pow (+ (sqrt 1.0) 1.0) 3))) (/ 1 (+ (sqrt 1.0) 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 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))) 0.789 * * * [progress]: adding candidates to table 0.954 * * [progress]: iteration 3 / 4 0.954 * * * [progress]: picking best candidate 0.960 * * * * [pick]: Picked # 0.960 * * * [progress]: localizing error 0.967 * * * [progress]: generating rewritten candidates 0.967 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.014 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.026 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2) 1.034 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 1.050 * * * [progress]: generating series expansions 1.050 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.050 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 1.050 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.050 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of 1.0 in x 1.052 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.052 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.052 * [taylor]: Taking taylor expansion of 1.0 in x 1.060 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 1.060 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.060 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.060 * [taylor]: Taking taylor expansion of 1.0 in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.062 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.062 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.062 * [taylor]: Taking taylor expansion of 1.0 in x 1.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.068 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.068 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.068 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.068 * [taylor]: Taking taylor expansion of 1.0 in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.070 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.070 * [taylor]: Taking taylor expansion of 1.0 in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.077 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.077 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 1.077 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.077 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.077 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.077 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.077 * [taylor]: Taking taylor expansion of 1.0 in x 1.078 * [taylor]: Taking taylor expansion of 1.0 in x 1.080 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.080 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.080 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.080 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.080 * [taylor]: Taking taylor expansion of 1.0 in x 1.082 * [taylor]: Taking taylor expansion of 1.0 in x 1.139 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 1.139 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 1.139 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.139 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.139 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.139 * [taylor]: Taking taylor expansion of 1.0 in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of 1.0 in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 1.146 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.146 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.146 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.146 * [taylor]: Taking taylor expansion of 1.0 in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of 1.0 in x 1.169 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 1.169 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 1.169 * [taylor]: Taking taylor expansion of -1 in x 1.169 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.169 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.169 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.169 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.169 * [taylor]: Taking taylor expansion of 1.0 in x 1.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.171 * [taylor]: Taking taylor expansion of 1.0 in x 1.182 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 1.182 * [taylor]: Taking taylor expansion of -1 in x 1.182 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.182 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.182 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.182 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.182 * [taylor]: Taking taylor expansion of 1.0 in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.184 * [taylor]: Taking taylor expansion of 1.0 in x 1.207 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2) 1.207 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 1.207 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.207 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.207 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.207 * [taylor]: Taking taylor expansion of 1/4 in x 1.207 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.207 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.207 * [taylor]: Taking taylor expansion of x in x 1.207 * [taylor]: Taking taylor expansion of 1.0 in x 1.209 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.209 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.209 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.209 * [taylor]: Taking taylor expansion of 1/4 in x 1.209 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.209 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.209 * [taylor]: Taking taylor expansion of 1.0 in x 1.239 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 1.239 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.239 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.239 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.239 * [taylor]: Taking taylor expansion of 1/4 in x 1.239 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.239 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.239 * [taylor]: Taking taylor expansion of 1.0 in x 1.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.240 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.240 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.240 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.240 * [taylor]: Taking taylor expansion of 1/4 in x 1.240 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.240 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.240 * [taylor]: Taking taylor expansion of 1.0 in x 1.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.240 * [taylor]: Taking taylor expansion of x in x 1.263 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 1.264 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.264 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.264 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.264 * [taylor]: Taking taylor expansion of 1/4 in x 1.264 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.264 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.264 * [taylor]: Taking taylor expansion of 1.0 in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.265 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.265 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.265 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.265 * [taylor]: Taking taylor expansion of 1/4 in x 1.266 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.266 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.266 * [taylor]: Taking taylor expansion of 1.0 in x 1.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.266 * [taylor]: Taking taylor expansion of x in x 1.287 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 1.287 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 1.287 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.287 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.287 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.287 * [taylor]: Taking taylor expansion of 1/4 in x 1.287 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.287 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.287 * [taylor]: Taking taylor expansion of x in x 1.287 * [taylor]: Taking taylor expansion of 1.0 in x 1.289 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.289 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.289 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.289 * [taylor]: Taking taylor expansion of 1/4 in x 1.289 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.289 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.289 * [taylor]: Taking taylor expansion of x in x 1.289 * [taylor]: Taking taylor expansion of 1.0 in x 1.320 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 1.320 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.320 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.320 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.320 * [taylor]: Taking taylor expansion of 1/4 in x 1.320 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.320 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.320 * [taylor]: Taking taylor expansion of 1.0 in x 1.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.321 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.321 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.321 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.321 * [taylor]: Taking taylor expansion of 1/4 in x 1.321 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.321 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.321 * [taylor]: Taking taylor expansion of 1.0 in x 1.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.321 * [taylor]: Taking taylor expansion of x in x 1.338 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 1.338 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.338 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.338 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.338 * [taylor]: Taking taylor expansion of 1/4 in x 1.338 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.338 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.338 * [taylor]: Taking taylor expansion of 1.0 in x 1.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.338 * [taylor]: Taking taylor expansion of x in x 1.345 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.345 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.345 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.345 * [taylor]: Taking taylor expansion of 1/4 in x 1.345 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.345 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.346 * [taylor]: Taking taylor expansion of 1.0 in x 1.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.367 * * * [progress]: simplifying candidates 1.370 * [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 (/ x (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (log1p (/ x (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (- (log x) (log (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (log (/ x (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (exp (/ x (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (/ (* (* x x) x) (* (* (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (* (cbrt (/ x (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (cbrt (/ x (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))))) (cbrt (/ x (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (* (* (/ x (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (/ x (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (/ x (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (sqrt (/ x (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (sqrt (/ x (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (- x) (- (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (cbrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))))) (/ (cbrt x) (cbrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (/ (cbrt x) (sqrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (/ (sqrt x) (* (cbrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (cbrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))))) (/ (sqrt x) (cbrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (/ (sqrt x) (sqrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (/ (sqrt x) (sqrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (/ (sqrt x) 1) (/ (sqrt x) (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (/ 1 (* (cbrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (cbrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))))) (/ x (cbrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (/ 1 (sqrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (/ x (sqrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (/ 1 1) (/ x (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (/ 1 (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (/ (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) x) (/ x (* (cbrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (cbrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))))) (/ x (sqrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (/ x 1) (/ (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (cbrt x)) (/ (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (sqrt x)) (/ (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) x) (/ x (+ (pow 1.0 3) (pow (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) 3))) (/ x (- (* 1.0 1.0) (* (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (expm1 (sqrt (sqrt (+ x 1.0)))) (log1p (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) (exp (sqrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (cbrt (sqrt (sqrt (+ x 1.0)))) (* (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (sqrt (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt 1)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt 1) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (- x 1.0))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (expm1 (sqrt (sqrt (+ x 1.0)))) (log1p (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) (exp (sqrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (cbrt (sqrt (sqrt (+ x 1.0)))) (* (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (sqrt (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt 1)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt 1) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (- x 1.0))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ (* 0.25 (* x (pow 1.0 1/4))) (+ (* 0.03125 (* (pow x 2) (pow 1.0 1/4))) (pow 1.0 1/4))) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)))) (- (+ (* 0.25 (pow (/ 1 (pow x 3)) 1/4)) (pow (/ 1 x) -1/4)) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) (- (+ (* 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2)))) (- (+ (* 0.25 (* x (pow 1.0 1/4))) (+ (* 0.03125 (* (pow x 2) (pow 1.0 1/4))) (pow 1.0 1/4))) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)))) (- (+ (* 0.25 (pow (/ 1 (pow x 3)) 1/4)) (pow (/ 1 x) -1/4)) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) (- (+ (* 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 1.371 * [simplify]: Sending expressions to egg_math: (expm1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))) (log1p (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))) (+ 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 (+ h0 h1)) (sqrt (+ h0 h1))) (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1)))) (* (+ h0 h1) (+ h0 h1)) (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (* (+ h0 h1) (+ h0 h1)) (+ 1 1) (+ (log (sqrt (sqrt (+ h0 h1)))) (log (sqrt (sqrt (+ h0 h1))))) (log (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 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(* (pow (sqrt h1) 2) (pow (+ (sqrt h1) h1) 3)))))) (* 1/2 (/ (pow h0 2) (* (sqrt h1) (pow (+ (sqrt h1) h1) 2))))) (- (+ h2 (- (+ (* h2 h0) (- (* h2 (/ 1 h0))))))) (- (+ h2 (- (+ (* h2 h0) (- (* h2 (/ 1 h0))))))) (- (+ (* h3 (* h0 (pow h1 1/4))) (+ (* h4 (* (pow h0 2) (pow h1 1/4))) (pow h1 1/4))) (* 1/8 (* (pow h0 2) (pow (/ 1 (pow h1 7)) 1/4)))) (- (+ (* h3 (pow (/ 1 (pow h0 3)) 1/4)) (pow (/ 1 h0) -1/4)) (* h5 (pow (/ 1 (pow h0 7)) 1/4))) (- (+ (* h3 (/ (exp (* 1/4 (- (log -1) (log (/ -1 h0))))) h0)) (exp (* 1/4 (- (log -1) (log (/ -1 h0)))))) (* h5 (/ (exp (* 1/4 (- (log -1) (log (/ -1 h0))))) (pow h0 2)))) (- (+ (* h3 (* h0 (pow h1 1/4))) (+ (* h4 (* (pow h0 2) (pow h1 1/4))) (pow h1 1/4))) (* 1/8 (* (pow h0 2) (pow (/ 1 (pow h1 7)) 1/4)))) (- (+ (* h3 (pow (/ 1 (pow h0 3)) 1/4)) (pow (/ 1 h0) -1/4)) (* h5 (pow (/ 1 (pow h0 7)) 1/4))) (- (+ (* h3 (/ (exp (* 1/4 (- (log -1) (log (/ -1 h0))))) h0)) (exp (* 1/4 (- (log -1) (log (/ -1 h0)))))) (* h5 (/ (exp (* 1/4 (- (log -1) (log (/ -1 h0))))) (pow h0 2)))) 1.379 * * [simplify]: iteration 0 : 530 enodes (cost 1344 ) 1.390 * * [simplify]: iteration 1 : 2396 enodes (cost 1172 ) 1.432 * * [simplify]: iteration 2 : 5001 enodes (cost 1118 ) 1.437 * [simplify]: Simplified to: (expm1 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (log1p (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (+ x 1.0) (sqrt (+ x 1.0)) (* (+ x 1.0) (+ x 1.0)) (+ x 1.0) (* (+ x 1.0) (+ x 1.0)) 2 (* 2 (log (sqrt (sqrt (+ x 1.0))))) (* 2 (log (sqrt (sqrt (+ x 1.0))))) (pow (exp 1) (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (+ x 1.0) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (hypot (pow 1.0 3/2) (pow x 3/2)) (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 (+ (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 (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (pow (cbrt (sqrt (sqrt (+ x 1.0)))) 4) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 2 1/2 1 1/2 (* (sqrt (sqrt (+ x 1.0))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0)))))) (* (fabs (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (sqrt (+ x 1.0))) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (sqrt (+ x 1.0))) (pow (cbrt (sqrt (sqrt (+ x 1.0)))) 4) (* (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (+ x 1.0)) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (+ x 1.0)) (* (sqrt (sqrt (+ x 1.0))) (sqrt (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))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (- (* x x) (* 1.0 1.0))))) (expm1 (/ x (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (log1p (/ x (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (- (log x) (log (* (+ (sqrt (+ x 1.0)) 1.0) 1))) (- (log x) (log (* (+ (sqrt (+ x 1.0)) 1.0) 1))) (exp (/ x (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (pow (/ x (+ (sqrt (+ x 1.0)) 1.0)) 3) (* (cbrt (/ x (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (cbrt (/ x (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))))) (cbrt (/ x (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (pow (/ x (+ (sqrt (+ x 1.0)) 1.0)) 3) (sqrt (/ x (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (sqrt (/ x (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (- x) (- (- 1.0) (sqrt (+ x 1.0))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (cbrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))))) (/ (cbrt x) (cbrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (/ (* (cbrt x) (cbrt x)) (hypot (sqrt (sqrt (+ x 1.0))) (sqrt 1.0))) (/ (cbrt x) (sqrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (/ (sqrt x) (* (cbrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (cbrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))))) (/ (sqrt x) (cbrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (/ (sqrt x) (hypot (sqrt (sqrt (+ x 1.0))) (sqrt 1.0))) (/ (sqrt x) (hypot (sqrt (sqrt (+ x 1.0))) (sqrt 1.0))) (sqrt x) (/ (sqrt x) (+ (sqrt (+ x 1.0)) 1.0)) (/ 1 (* (cbrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (cbrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))))) (/ x (cbrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))))) (/ 1 (hypot (sqrt (sqrt (+ x 1.0))) (sqrt 1.0))) (/ x (hypot (sqrt (sqrt (+ x 1.0))) (sqrt 1.0))) 1 (/ x (+ (sqrt (+ x 1.0)) 1.0)) (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (/ (+ (sqrt (+ x 1.0)) 1.0) x) (/ x (* (cbrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (cbrt (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))))) (/ x (hypot (sqrt (sqrt (+ x 1.0))) (sqrt 1.0))) x (/ (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (cbrt x)) (/ (+ (sqrt (+ x 1.0)) 1.0) (sqrt x)) (/ (+ (sqrt (+ x 1.0)) 1.0) x) (/ x (fma (+ x 1.0) (sqrt (+ x 1.0)) (pow 1.0 3))) (/ x (- (- (* 1.0 1.0) x) 1.0)) (expm1 (sqrt (sqrt (+ x 1.0)))) (log1p (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) (exp (sqrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (cbrt (sqrt (sqrt (+ x 1.0)))) (pow (sqrt (sqrt (+ x 1.0))) 3) (fabs (cbrt (sqrt (+ x 1.0)))) (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (- x 1.0))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (expm1 (sqrt (sqrt (+ x 1.0)))) (log1p (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) (exp (sqrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (cbrt (sqrt (sqrt (+ x 1.0)))) (pow (sqrt (sqrt (+ x 1.0))) 3) (fabs (cbrt (sqrt (+ x 1.0)))) (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (- x 1.0))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (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))) (fma (- 1/2) (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))) (fma 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2))) (+ (* (/ 1/4 1.0) (/ (pow x 3) (pow (+ (sqrt 1.0) 1.0) 3))) (/ x (+ (sqrt 1.0) 1.0))))) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (fma (pow 1.0 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))))) (fma (pow 1.0 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))))) 1.438 * * * [progress]: adding candidates to table 1.743 * * [progress]: iteration 4 / 4 1.743 * * * [progress]: picking best candidate 1.745 * * * * [pick]: Picked # 1.745 * * * [progress]: localizing error 1.752 * * * [progress]: generating rewritten candidates 1.752 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.833 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.866 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2 2) 1.879 * * * [progress]: generating series expansions 1.879 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.879 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 1.879 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 1.879 * [taylor]: Taking taylor expansion of x in x 1.879 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.879 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.879 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.879 * [taylor]: Taking taylor expansion of x in x 1.879 * [taylor]: Taking taylor expansion of 1.0 in x 1.881 * [taylor]: Taking taylor expansion of 1.0 in x 1.882 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 1.882 * [taylor]: Taking taylor expansion of x in x 1.882 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.882 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.882 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.882 * [taylor]: Taking taylor expansion of x in x 1.883 * [taylor]: Taking taylor expansion of 1.0 in x 1.884 * [taylor]: Taking taylor expansion of 1.0 in x 1.941 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 1.941 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 1.941 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.941 * [taylor]: Taking taylor expansion of x in x 1.941 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.941 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.941 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.941 * [taylor]: Taking taylor expansion of 1.0 in x 1.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.941 * [taylor]: Taking taylor expansion of x in x 1.942 * [taylor]: Taking taylor expansion of 1.0 in x 1.948 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 1.948 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.948 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.948 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.948 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.948 * [taylor]: Taking taylor expansion of 1.0 in x 1.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.949 * [taylor]: Taking taylor expansion of 1.0 in x 1.970 * [approximate]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 1.971 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.971 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 1.971 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.971 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.971 * [taylor]: Taking taylor expansion of -1 in x 1.971 * [taylor]: Taking taylor expansion of x in x 1.972 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.972 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.972 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.972 * [taylor]: Taking taylor expansion of 1.0 in x 1.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.972 * [taylor]: Taking taylor expansion of x in x 1.973 * [taylor]: Taking taylor expansion of 1.0 in x 1.974 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.974 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 1.974 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.974 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.974 * [taylor]: Taking taylor expansion of -1 in x 1.974 * [taylor]: Taking taylor expansion of x in x 1.975 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.975 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.975 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.975 * [taylor]: Taking taylor expansion of 1.0 in x 1.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.977 * [taylor]: Taking taylor expansion of 1.0 in x 1.996 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.996 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in (x) around 0 1.996 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in x 1.996 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 1.996 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.996 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.996 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.996 * [taylor]: Taking taylor expansion of x in x 1.996 * [taylor]: Taking taylor expansion of 1.0 in x 1.998 * [taylor]: Taking taylor expansion of 1.0 in x 1.999 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.999 * [taylor]: Taking taylor expansion of x in x 2.000 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in x 2.000 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 2.000 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 2.000 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.000 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.000 * [taylor]: Taking taylor expansion of x in x 2.000 * [taylor]: Taking taylor expansion of 1.0 in x 2.001 * [taylor]: Taking taylor expansion of 1.0 in x 2.003 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.003 * [taylor]: Taking taylor expansion of x in x 2.204 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 2.204 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 2.204 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.204 * [taylor]: Taking taylor expansion of x in x 2.206 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 2.206 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 2.206 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.206 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.206 * [taylor]: Taking taylor expansion of 1.0 in x 2.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.206 * [taylor]: Taking taylor expansion of x in x 2.207 * [taylor]: Taking taylor expansion of 1.0 in x 2.208 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 2.208 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.208 * [taylor]: Taking taylor expansion of x in x 2.209 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 2.209 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 2.209 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.209 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.209 * [taylor]: Taking taylor expansion of 1.0 in x 2.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.209 * [taylor]: Taking taylor expansion of x in x 2.210 * [taylor]: Taking taylor expansion of 1.0 in x 2.239 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 2.239 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 2.239 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.239 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.239 * [taylor]: Taking taylor expansion of -1 in x 2.239 * [taylor]: Taking taylor expansion of x in x 2.246 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 2.246 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.246 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.246 * [taylor]: Taking taylor expansion of 1.0 in x 2.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.246 * [taylor]: Taking taylor expansion of x in x 2.248 * [taylor]: Taking taylor expansion of 1.0 in x 2.249 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 2.249 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.249 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.249 * [taylor]: Taking taylor expansion of -1 in x 2.249 * [taylor]: Taking taylor expansion of x in x 2.250 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 2.250 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.250 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.250 * [taylor]: Taking taylor expansion of 1.0 in x 2.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.250 * [taylor]: Taking taylor expansion of x in x 2.251 * [taylor]: Taking taylor expansion of 1.0 in x 2.268 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2 2) 2.268 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 2.268 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.268 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.268 * [taylor]: Taking taylor expansion of x in x 2.268 * [taylor]: Taking taylor expansion of 1.0 in x 2.270 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.270 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.270 * [taylor]: Taking taylor expansion of x in x 2.270 * [taylor]: Taking taylor expansion of 1.0 in x 2.278 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 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 2.279 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.279 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.279 * [taylor]: Taking taylor expansion of 1.0 in x 2.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.280 * [taylor]: Taking taylor expansion of x in x 2.286 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 2.286 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.286 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.286 * [taylor]: Taking taylor expansion of 1.0 in x 2.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.286 * [taylor]: Taking taylor expansion of x in x 2.287 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.287 * [taylor]: Taking taylor expansion of 1.0 in x 2.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.287 * [taylor]: Taking taylor expansion of x in x 2.294 * * * [progress]: simplifying candidates 2.296 * [simplify]: Simplifying using # : (expm1 (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (log1p (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (+ (log (sqrt x)) (- (log (sqrt x)) (log (+ 1.0 (sqrt (+ x 1.0)))))) (+ (log (sqrt x)) (log (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (log (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (exp (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (cbrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))))) (cbrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (* (cbrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1)) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1)) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) 1)) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ (sqrt 1) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt 1) 1)) (* (sqrt x) (/ (sqrt 1) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ 1 1)) (* (sqrt x) (/ 1 1)) (* (sqrt x) 1) (* (sqrt x) (sqrt x)) (* (sqrt x) (/ (sqrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (* (sqrt x) (/ (sqrt x) (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))))) (* (cbrt (sqrt x)) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt (cbrt x)) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt (sqrt x)) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt (sqrt x)) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (sqrt x)) (expm1 (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (log1p (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (- (log (sqrt x)) (log (+ 1.0 (sqrt (+ x 1.0))))) (log (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (* (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (- (sqrt x)) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt (sqrt x)) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1) (/ (cbrt (sqrt x)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1) (/ (cbrt (sqrt x)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt (cbrt x)) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (* (cbrt x) (cbrt x))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (* (cbrt x) (cbrt x))) 1) (/ (sqrt (cbrt x)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt (* (cbrt x) (cbrt x))) 1) (/ (sqrt (cbrt x)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt (sqrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt (sqrt x)) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (sqrt x)) 1) (/ (sqrt (sqrt x)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt (sqrt x)) 1) (/ (sqrt (sqrt x)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt 1) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt 1) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt (sqrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt (sqrt x)) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (sqrt x)) 1) (/ (sqrt (sqrt x)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt (sqrt x)) 1) (/ (sqrt (sqrt x)) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) 1) (/ (sqrt x) 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt (sqrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt (cbrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt (sqrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt (sqrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (sqrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ (sqrt x) (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ (pow x 2) (+ (sqrt 1.0) 1.0))) (- (+ (* +nan.0 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (+ (* +nan.0 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (+ (* +nan.0 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))) (- (+ (* +nan.0 (/ x (+ (sqrt 1.0) 1.0))) (- (+ (* +nan.0 (/ (pow x 3) (+ (sqrt 1.0) 1.0))) (- (* +nan.0 (/ (pow x 3) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))))))))))))))) (- (+ (* +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))))) 2.297 * [simplify]: Sending expressions to egg_math: (expm1 (* (sqrt h0) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1)))))) (log1p (* (sqrt h0) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt h0) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1))))) (+ (log (sqrt h0)) (- (log (sqrt h0)) (log (+ h1 (sqrt (+ h0 h1)))))) (+ (log (sqrt h0)) (log (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1)))))) (log (* (sqrt h0) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1)))))) (exp (* (sqrt h0) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1)))))) (* (* (* (sqrt h0) (sqrt h0)) (sqrt h0)) (/ (* (* (sqrt h0) (sqrt h0)) (sqrt h0)) (* (* (+ h1 (sqrt (+ h0 h1))) (+ h1 (sqrt (+ h0 h1)))) (+ h1 (sqrt (+ h0 h1)))))) (* (* (* (sqrt h0) (sqrt h0)) (sqrt h0)) (* (* (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1)))) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1))))) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1)))))) (* (cbrt (* (sqrt h0) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1)))))) (cbrt (* (sqrt h0) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1))))))) (cbrt (* (sqrt h0) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1)))))) (* (* (* (sqrt h0) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1))))) (* (sqrt h0) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt h0) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1)))))) (sqrt (* (sqrt h0) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1)))))) (sqrt (* (sqrt h0) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt (sqrt h0)) (sqrt (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt (sqrt h0)) (sqrt (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt (sqrt h0)) (/ (sqrt (sqrt h0)) (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt (sqrt h0)) (/ (sqrt (sqrt h0)) (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt (sqrt h0)) (/ (sqrt (sqrt h0)) (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt (sqrt h0)) (/ (sqrt (sqrt h0)) (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt (sqrt h0)) (sqrt (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt (sqrt h0)) (sqrt (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt (sqrt h0)) (/ (sqrt (sqrt h0)) (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt (sqrt h0)) (/ (sqrt (sqrt h0)) (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt (sqrt h0)) (/ (sqrt (sqrt h0)) (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt (sqrt h0)) (/ (sqrt (sqrt h0)) (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt h0) (* (cbrt (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1))))) (cbrt (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1))))))) (* (sqrt h0) (sqrt (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt h0) (/ (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1))))))) (* (sqrt h0) (/ (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt h0) (/ (* (cbrt 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h1)))))) (* (sqrt h0) (/ (sqrt (sqrt h0)) 1)) (* (sqrt h0) (/ (sqrt (sqrt h0)) 1)) (* (sqrt h0) (/ 1 (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1))))))) (* (sqrt h0) (/ 1 (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt h0) (/ 1 1)) (* (sqrt h0) (/ 1 1)) (* (sqrt h0) 1) (* (sqrt h0) (sqrt h0)) (* (sqrt h0) (/ (sqrt h0) (+ (pow h1 3) (pow (sqrt (+ h0 h1)) 3)))) (* (sqrt h0) (/ (sqrt h0) (- (* h1 h1) (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1)))))) (* (cbrt (sqrt h0)) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1))))) (* (sqrt (cbrt h0)) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1))))) (* (sqrt (sqrt h0)) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1))))) (* (sqrt h0) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1))))) (* (sqrt (sqrt h0)) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1))))) (* (sqrt h0) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1))))) (* (sqrt h0) (sqrt h0)) (expm1 (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1))))) (log1p (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1))))) (- (log (sqrt h0)) (log (+ h1 (sqrt (+ h0 h1))))) (log (/ (sqrt h0) (+ h1 (sqrt (+ h0 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2)))))))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 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))) 2.356 * * * [progress]: adding candidates to table 2.588 * [progress]: [Phase 3 of 3] Extracting. 2.588 * * [regime]: Finding splitpoints for: (# # #) 2.589 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.589 * * * * [regimes]: Trying to branch on x from (# # #) 2.605 * * * [regime]: Found split indices: #