2.670 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.043 * * * [progress]: [2/2] Setting up program. 0.045 * [progress]: [Phase 2 of 3] Improving. 0.045 * [simplify]: Simplifying using # : (log (+ x (sqrt (- (* x x) 1.0)))) 0.047 * * [simplify]: iteration 0 : 11 enodes (cost 5 ) 0.049 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.050 * * [simplify]: iteration 2 : 12 enodes (cost 5 ) 0.050 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1.0)))) 0.051 * * [progress]: iteration 1 / 4 0.051 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.053 * * * [progress]: localizing error 0.060 * * * [progress]: generating rewritten candidates 0.060 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.067 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.078 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.088 * * * [progress]: generating series expansions 0.088 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.088 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.088 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.091 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.109 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.109 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.109 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.112 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.112 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of 1.0 in x 0.125 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.125 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.125 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.127 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.139 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.140 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 0.140 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.140 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.140 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.142 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.142 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.153 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.153 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.153 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.153 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of 1.0 in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.161 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.161 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.178 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.178 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.178 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.178 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.181 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.181 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.209 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.210 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in (x) around 0 0.210 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 0.210 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.210 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.210 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of 1.0 in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 0.214 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.214 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.214 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of 1.0 in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.272 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.272 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.272 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.272 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.272 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.275 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.275 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.275 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of 1.0 in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.328 * [approximate]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.328 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.329 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.329 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.329 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.338 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.338 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.338 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.412 * * * [progress]: simplifying candidates 0.413 * [simplify]: Simplifying using # : (expm1 (sqrt (- (* x x) 1.0))) (log1p (sqrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (* (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (sqrt (- (* x x) 1.0))) (sqrt (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt 1) (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (expm1 (+ x (sqrt (- (* x x) 1.0)))) (log1p (+ x (sqrt (- (* x x) 1.0)))) (* (exp x) (exp (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (* (* (+ x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0)))) (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0))))) (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)))) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (expm1 (log (+ x (sqrt (- (* x x) 1.0))))) (log1p (log (+ x (sqrt (- (* x x) 1.0))))) (log (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0)))))) (log (cbrt (+ x (sqrt (- (* x x) 1.0))))) (log (sqrt (+ x (sqrt (- (* x x) 1.0))))) (log (sqrt (+ x (sqrt (- (* x x) 1.0))))) (log 1) (log (+ x (sqrt (- (* x x) 1.0)))) (log 1) (log (+ x (sqrt (- (* x x) 1.0)))) (log (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3))) (log (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0)))))) (log (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))))) (log (- x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (log (log (+ x (sqrt (- (* x x) 1.0))))) (exp (log (+ x (sqrt (- (* x x) 1.0))))) (* (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0)))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (* (* (log (+ x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0))))) (log (+ x (sqrt (- (* x x) 1.0))))) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x)))) (- (+ (log (sqrt (- 1.0))) (/ x (sqrt (- 1.0)))) (* 1/6 (/ (pow x 3) (pow (sqrt (- 1.0)) 3)))) (- (log 2) (+ (log (/ 1 x)) (+ (* 0.09375 (/ 1 (pow x 4))) (* 0.25 (/ 1 (pow x 2)))))) (- (+ (* 0.25 (/ 1 (pow x 2))) (+ (* 0.125 (/ 1 (pow x 4))) (+ (log (- 0.5)) (log (/ -1 x))))) (* 0.0078125 (/ 1 (* (pow x 4) (pow -0.5 2))))) 0.419 * * [simplify]: iteration 0 : 339 enodes (cost 436 ) 0.424 * * [simplify]: iteration 1 : 1140 enodes (cost 401 ) 0.446 * * [simplify]: iteration 2 : 5001 enodes (cost 389 ) 0.448 * [simplify]: Simplified to: (expm1 (sqrt (- (* x x) 1.0))) (log1p (sqrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (pow (sqrt (- (* x x) 1.0)) 3) (fabs (cbrt (- (* x x) 1.0))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt 1) (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) 1/2 (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (expm1 (+ x (sqrt (- (* x x) 1.0)))) (log1p (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (pow (+ x (sqrt (- (* x x) 1.0))) 3) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (- (fma x x (pow x 2)) (+ 1.0 (* x (sqrt (- (* x x) 1.0))))) (+ 0 1.0) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (expm1 (log (+ x (sqrt (- (* x x) 1.0))))) (log1p (log (+ x (sqrt (- (* x x) 1.0))))) (* 2 (log (cbrt (+ x (sqrt (- (* x x) 1.0)))))) (log (cbrt (+ x (sqrt (- (* x x) 1.0))))) (log (sqrt (+ x (sqrt (- (* x x) 1.0))))) (log (sqrt (+ x (sqrt (- (* x x) 1.0))))) 0 (log (+ x (sqrt (- (* x x) 1.0)))) 0 (log (+ x (sqrt (- (* x x) 1.0)))) (log (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3))) (log (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0)))))) (log (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))))) (log (- x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (log (log (+ x (sqrt (- (* x x) 1.0))))) (+ x (sqrt (- (* x x) 1.0))) (* (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0)))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (- (sqrt (- 1.0)) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3))))) (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (- (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))) x) (+ (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (sqrt (- 1.0))) x) (fma 2 x (- (fma 0.5 (/ 1 x) (* 0.125 (/ 1 (pow x 3)))))) (fma 0.0625 (/ 1 (pow x 5)) (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (- (+ (log (sqrt (- 1.0))) (/ x (sqrt (- 1.0)))) (* 1/6 (/ (pow x 3) (pow (sqrt (- 1.0)) 3)))) (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))) (+ (fma 0.25 (/ 1 (pow x 2)) (+ (log (- 0.5)) (log (/ -1 x)))) (* (/ 1 (pow x 4)) (- 0.125 (/ 0.0078125 (pow -0.5 2))))) 0.448 * * * [progress]: adding candidates to table 0.601 * * [progress]: iteration 2 / 4 0.601 * * * [progress]: picking best candidate 0.608 * * * * [pick]: Picked # 0.608 * * * [progress]: localizing error 0.618 * * * [progress]: generating rewritten candidates 0.619 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.647 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.649 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.653 * * * [progress]: generating series expansions 0.653 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.654 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 0.654 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.654 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.654 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.654 * [taylor]: Taking taylor expansion of 1.0 in x 0.655 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.655 * [taylor]: Taking taylor expansion of 1.0 in x 0.664 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.664 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.664 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.664 * [taylor]: Taking taylor expansion of 1.0 in x 0.664 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.665 * [taylor]: Taking taylor expansion of 1.0 in x 0.711 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.711 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.711 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.711 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.712 * [taylor]: Taking taylor expansion of 1.0 in x 0.712 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.712 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.712 * [taylor]: Taking taylor expansion of 1.0 in x 0.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.720 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.720 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 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 0.720 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.720 * [taylor]: Taking taylor expansion of 1.0 in x 0.721 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.721 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.721 * [taylor]: Taking taylor expansion of 1.0 in x 0.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.752 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.752 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.752 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.753 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.753 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.753 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.753 * [taylor]: Taking taylor expansion of 1.0 in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.755 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.755 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.755 * [taylor]: Taking taylor expansion of 1.0 in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.758 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.758 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.758 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.758 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.758 * [taylor]: Taking taylor expansion of 1.0 in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.761 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.761 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.761 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.761 * [taylor]: Taking taylor expansion of 1.0 in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.859 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.860 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in (x) around 0 0.860 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.860 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.860 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.860 * [taylor]: Taking taylor expansion of 1.0 in x 0.861 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.861 * [taylor]: Taking taylor expansion of 1.0 in x 0.869 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.870 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.870 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.870 * [taylor]: Taking taylor expansion of 1.0 in x 0.870 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.871 * [taylor]: Taking taylor expansion of 1.0 in x 0.899 * [approximate]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 0.899 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.899 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.899 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.899 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.899 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.899 * [taylor]: Taking taylor expansion of 1.0 in x 0.900 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.900 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.900 * [taylor]: Taking taylor expansion of 1.0 in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.907 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.908 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.908 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.908 * [taylor]: Taking taylor expansion of 1.0 in x 0.909 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.909 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.909 * [taylor]: Taking taylor expansion of 1.0 in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.955 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 0.955 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.956 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.956 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.956 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.956 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.956 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.956 * [taylor]: Taking taylor expansion of 1.0 in x 0.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.960 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.960 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.960 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.960 * [taylor]: Taking taylor expansion of 1.0 in x 0.961 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.963 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.963 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.963 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.963 * [taylor]: Taking taylor expansion of 1.0 in x 0.964 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.966 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.966 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.966 * [taylor]: Taking taylor expansion of 1.0 in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.968 * [taylor]: Taking taylor expansion of x in x 1.008 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.008 * [approximate]: Taking taylor expansion of (log (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in (x) around 0 1.008 * [taylor]: Taking taylor expansion of (log (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 1.008 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.008 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.008 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.009 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.009 * [taylor]: Taking taylor expansion of 1.0 in x 1.028 * [taylor]: Taking taylor expansion of (log (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 1.028 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.028 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.028 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.028 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.028 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.028 * [taylor]: Taking taylor expansion of 1.0 in x 1.029 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.029 * [taylor]: Taking taylor expansion of 1.0 in x 1.126 * [approximate]: Taking taylor expansion of (log (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in (x) around 0 1.126 * [taylor]: Taking taylor expansion of (log (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.126 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.126 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.126 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.126 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.127 * [taylor]: Taking taylor expansion of 1.0 in x 1.127 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.127 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.128 * [taylor]: Taking taylor expansion of 1.0 in x 1.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.136 * [taylor]: Taking taylor expansion of (log (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.136 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.136 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.136 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.136 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.136 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.136 * [taylor]: Taking taylor expansion of 1.0 in x 1.137 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.137 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.137 * [taylor]: Taking taylor expansion of 1.0 in x 1.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.138 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.227 * [approximate]: Taking taylor expansion of (log (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in (x) around 0 1.227 * [taylor]: Taking taylor expansion of (log (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.227 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.227 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.227 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.227 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.227 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.227 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.227 * [taylor]: Taking taylor expansion of 1.0 in x 1.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.228 * [taylor]: Taking taylor expansion of x in x 1.230 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.230 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.230 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.230 * [taylor]: Taking taylor expansion of 1.0 in x 1.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.231 * [taylor]: Taking taylor expansion of x in x 1.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.233 * [taylor]: Taking taylor expansion of x in x 1.235 * [taylor]: Taking taylor expansion of (log (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.235 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.235 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.235 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.235 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.235 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.235 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.235 * [taylor]: Taking taylor expansion of 1.0 in x 1.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.236 * [taylor]: Taking taylor expansion of x in x 1.238 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.238 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.238 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.238 * [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 (/ 1 x) in x 1.240 * [taylor]: Taking taylor expansion of x in x 1.306 * * * [progress]: simplifying candidates 1.307 * [simplify]: Simplifying using # : (expm1 (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log1p (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (+ (log (sqrt (+ x (sqrt 1.0)))) (log (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (* (sqrt (- x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))))) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (* (cbrt (- x (sqrt 1.0))) (cbrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) 1) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (expm1 (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log1p (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (exp x) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (exp (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (* (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3)) (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (- (* x x) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (expm1 (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log1p (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (log (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log 1) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3))) (log (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (log (- (* x x) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (exp (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (* (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (* (* (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (sqrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (sqrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- +nan.0))))))))))) (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (- (* 2 x) (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- x (+ +nan.0 (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (* +nan.0 (/ 1 x))))))) (- (+ (log (sqrt (* -1 (pow (sqrt 1.0) 2)))) (/ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (* 1/6 (/ (pow x 3) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- (log 2) (+ (log (/ 1 x)) (+ (* 1/4 (/ (pow (sqrt 1.0) 2) (pow x 2))) (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)))))) (- (log -1) (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (log (/ -1 x)) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) 1.314 * * [simplify]: iteration 0 : 467 enodes (cost 1012 ) 1.322 * * [simplify]: iteration 1 : 1665 enodes (cost 907 ) 1.353 * * [simplify]: iteration 2 : 5001 enodes (cost 894 ) 1.357 * [simplify]: Simplified to: (expm1 (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log1p (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (fma x x (- 1.0)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (fma x x (- 1.0)) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3) (fma x x (- 1.0)) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (fma x x (- 1.0)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (fabs (cbrt (- x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (expm1 (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log1p (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (+ x (* 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(pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3))) (log (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (+ (log (+ x (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))))) (log (- x (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))))) (log (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) (* (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (pow (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) 3) (sqrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (sqrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (fma 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (- (sqrt (* -1 (pow (sqrt 1.0) 2))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3))))) (- (- x (/ (* 1/2 1.0) x)) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (fma (- +nan.0) (/ (/ 1.0 x) x) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (fma (- +nan.0) (/ 1 (pow x 2)) (fma +nan.0 (/ 1 x) (fma (- +nan.0) (/ (sqrt 1.0) x) +nan.0))))) (fma 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (- (- (* 2 x) (/ (* 1/2 1.0) x)) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (+ (- x +nan.0) (* +nan.0 (- (/ (sqrt 1.0) x) (/ 1 x)))) (- (+ (log (sqrt (* -1 (pow (sqrt 1.0) 2)))) (/ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (* 1/6 (/ (pow x 3) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- (- (log 2) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (log (/ 1 x))) (- (+ (- (log -1) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (log (/ -1 x)))) (/ +nan.0 (pow x 2))) (/ +nan.0 x)) 1.357 * * * [progress]: adding candidates to table 1.618 * * [progress]: iteration 3 / 4 1.618 * * * [progress]: picking best candidate 1.621 * * * * [pick]: Picked # 1.621 * * * [progress]: localizing error 1.635 * * * [progress]: generating rewritten candidates 1.635 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.733 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 1.771 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.805 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1) 1.837 * * * [progress]: generating series expansions 1.837 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.839 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 1.839 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.839 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.839 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.839 * [taylor]: Taking taylor expansion of x in x 1.839 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.839 * [taylor]: Taking taylor expansion of 1.0 in x 1.840 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.840 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.840 * [taylor]: Taking taylor expansion of 1.0 in x 1.849 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.849 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.849 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.849 * [taylor]: Taking taylor expansion of x in x 1.849 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.849 * [taylor]: Taking taylor expansion of 1.0 in x 1.849 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.849 * [taylor]: Taking taylor expansion of x in x 1.849 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.849 * [taylor]: Taking taylor expansion of 1.0 in x 1.893 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.893 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.893 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.893 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.893 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.893 * [taylor]: Taking taylor expansion of x in x 1.893 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.893 * [taylor]: Taking taylor expansion of 1.0 in x 1.894 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.894 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.894 * [taylor]: Taking taylor expansion of 1.0 in x 1.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.909 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.909 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.909 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.909 * [taylor]: Taking taylor expansion of x in x 1.909 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.909 * [taylor]: Taking taylor expansion of 1.0 in x 1.910 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.910 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.910 * [taylor]: Taking taylor expansion of 1.0 in x 1.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.911 * [taylor]: Taking taylor expansion of x in x 1.944 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.944 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.944 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.944 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.944 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.944 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.944 * [taylor]: Taking taylor expansion of 1.0 in x 1.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.945 * [taylor]: Taking taylor expansion of x in x 1.947 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.947 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.947 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.947 * [taylor]: Taking taylor expansion of 1.0 in x 1.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.947 * [taylor]: Taking taylor expansion of x in x 1.949 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.949 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.949 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.949 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.949 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.949 * [taylor]: Taking taylor expansion of 1.0 in x 1.950 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.950 * [taylor]: Taking taylor expansion of x in x 1.952 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.952 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.952 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.952 * [taylor]: Taking taylor expansion of 1.0 in x 1.953 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.953 * [taylor]: Taking taylor expansion of x in x 2.043 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 2.043 * [approximate]: Taking taylor expansion of (pow (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) 1/4) in (x) around 0 2.043 * [taylor]: Taking taylor expansion of (pow (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) 1/4) in x 2.043 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 2.043 * [taylor]: Taking taylor expansion of (* 1/4 (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 2.043 * [taylor]: Taking taylor expansion of 1/4 in x 2.043 * [taylor]: Taking taylor expansion of (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 2.043 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 2.044 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 2.044 * [taylor]: Taking taylor expansion of x in x 2.044 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.044 * [taylor]: Taking taylor expansion of 1.0 in x 2.044 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 2.044 * [taylor]: Taking taylor expansion of x in x 2.044 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.044 * [taylor]: Taking taylor expansion of 1.0 in x 2.054 * [taylor]: Taking taylor expansion of (pow (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) 1/4) in x 2.054 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 2.054 * [taylor]: Taking taylor expansion of (* 1/4 (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 2.054 * [taylor]: Taking taylor expansion of 1/4 in x 2.054 * [taylor]: Taking taylor expansion of (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 2.055 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 2.055 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 2.055 * [taylor]: Taking taylor expansion of x in x 2.055 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.055 * [taylor]: Taking taylor expansion of 1.0 in x 2.055 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 2.055 * [taylor]: Taking taylor expansion of x in x 2.055 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.055 * [taylor]: Taking taylor expansion of 1.0 in x 2.187 * [approximate]: Taking taylor expansion of (pow (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) 1/4) in (x) around 0 2.187 * [taylor]: Taking taylor expansion of (pow (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) 1/4) in x 2.187 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))))) in x 2.187 * [taylor]: Taking taylor expansion of (* 1/4 (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))))) in x 2.187 * [taylor]: Taking taylor expansion of 1/4 in x 2.187 * [taylor]: Taking taylor expansion of (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 2.187 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 2.187 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 2.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.188 * [taylor]: Taking taylor expansion of x in x 2.188 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.188 * [taylor]: Taking taylor expansion of 1.0 in x 2.188 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.189 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.189 * [taylor]: Taking taylor expansion of 1.0 in x 2.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.189 * [taylor]: Taking taylor expansion of x in x 2.191 * [taylor]: Taking taylor expansion of (pow (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) 1/4) in x 2.191 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))))) in x 2.191 * [taylor]: Taking taylor expansion of (* 1/4 (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))))) in x 2.191 * [taylor]: Taking taylor expansion of 1/4 in x 2.191 * [taylor]: Taking taylor expansion of (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 2.191 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 2.191 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 2.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.191 * [taylor]: Taking taylor expansion of x in x 2.191 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.191 * [taylor]: Taking taylor expansion of 1.0 in x 2.192 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.192 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.192 * [taylor]: Taking taylor expansion of 1.0 in x 2.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.193 * [taylor]: Taking taylor expansion of x in x 2.282 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt (- (+ (sqrt 1.0) (/ 1 x))))) (pow (- (sqrt 1.0) (/ 1 x)) 1/4)) in (x) around 0 2.282 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt (- (+ (sqrt 1.0) (/ 1 x))))) (pow (- (sqrt 1.0) (/ 1 x)) 1/4)) in x 2.282 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (sqrt 1.0) (/ 1 x))))) in x 2.282 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 2.283 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 2.283 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.283 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.283 * [taylor]: Taking taylor expansion of 1.0 in x 2.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.283 * [taylor]: Taking taylor expansion of x in x 2.292 * [taylor]: Taking taylor expansion of (pow (- (sqrt 1.0) (/ 1 x)) 1/4) in x 2.292 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (sqrt 1.0) (/ 1 x))))) in x 2.292 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (sqrt 1.0) (/ 1 x)))) in x 2.292 * [taylor]: Taking taylor expansion of 1/4 in x 2.292 * [taylor]: Taking taylor expansion of (log (- (sqrt 1.0) (/ 1 x))) in x 2.292 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.292 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.292 * [taylor]: Taking taylor expansion of 1.0 in x 2.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.293 * [taylor]: Taking taylor expansion of x in x 2.295 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt (- (+ (sqrt 1.0) (/ 1 x))))) (pow (- (sqrt 1.0) (/ 1 x)) 1/4)) in x 2.295 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (sqrt 1.0) (/ 1 x))))) in x 2.295 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 2.295 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 2.295 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.295 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.295 * [taylor]: Taking taylor expansion of 1.0 in x 2.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.296 * [taylor]: Taking taylor expansion of x in x 2.304 * [taylor]: Taking taylor expansion of (pow (- (sqrt 1.0) (/ 1 x)) 1/4) in x 2.304 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (sqrt 1.0) (/ 1 x))))) in x 2.304 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (sqrt 1.0) (/ 1 x)))) in x 2.305 * [taylor]: Taking taylor expansion of 1/4 in x 2.305 * [taylor]: Taking taylor expansion of (log (- (sqrt 1.0) (/ 1 x))) in x 2.305 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.305 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.305 * [taylor]: Taking taylor expansion of 1.0 in x 2.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.305 * [taylor]: Taking taylor expansion of x in x 2.416 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 2.417 * [approximate]: Taking taylor expansion of (pow (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) 1/4) in (x) around 0 2.417 * [taylor]: Taking taylor expansion of (pow (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) 1/4) in x 2.417 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 2.417 * [taylor]: Taking taylor expansion of (* 1/4 (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 2.417 * [taylor]: Taking taylor expansion of 1/4 in x 2.417 * [taylor]: Taking taylor expansion of (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 2.417 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 2.417 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 2.417 * [taylor]: Taking taylor expansion of x in x 2.417 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.417 * [taylor]: Taking taylor expansion of 1.0 in x 2.418 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 2.418 * [taylor]: Taking taylor expansion of x in x 2.418 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.418 * [taylor]: Taking taylor expansion of 1.0 in x 2.428 * [taylor]: Taking taylor expansion of (pow (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) 1/4) in x 2.428 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 2.428 * [taylor]: Taking taylor expansion of (* 1/4 (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 2.428 * [taylor]: Taking taylor expansion of 1/4 in x 2.428 * [taylor]: Taking taylor expansion of (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 2.428 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 2.428 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 2.428 * [taylor]: Taking taylor expansion of x in x 2.428 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.428 * [taylor]: Taking taylor expansion of 1.0 in x 2.429 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 2.429 * [taylor]: Taking taylor expansion of x in x 2.429 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.429 * [taylor]: Taking taylor expansion of 1.0 in x 2.554 * [approximate]: Taking taylor expansion of (pow (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) 1/4) in (x) around 0 2.554 * [taylor]: Taking taylor expansion of (pow (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) 1/4) in x 2.554 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))))) in x 2.554 * [taylor]: Taking taylor expansion of (* 1/4 (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))))) in x 2.554 * [taylor]: Taking taylor expansion of 1/4 in x 2.554 * [taylor]: Taking taylor expansion of (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 2.554 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 2.554 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 2.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.554 * [taylor]: Taking taylor expansion of x in x 2.555 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.555 * [taylor]: Taking taylor expansion of 1.0 in x 2.555 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.555 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.555 * [taylor]: Taking taylor expansion of 1.0 in x 2.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.556 * [taylor]: Taking taylor expansion of x in x 2.558 * [taylor]: Taking taylor expansion of (pow (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) 1/4) in x 2.558 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))))) in x 2.558 * [taylor]: Taking taylor expansion of (* 1/4 (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))))) in x 2.558 * [taylor]: Taking taylor expansion of 1/4 in x 2.558 * [taylor]: Taking taylor expansion of (log (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 2.558 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 2.558 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 2.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.558 * [taylor]: Taking taylor expansion of x in x 2.558 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.558 * [taylor]: Taking taylor expansion of 1.0 in x 2.559 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.559 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.559 * [taylor]: Taking taylor expansion of 1.0 in x 2.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.560 * [taylor]: Taking taylor expansion of x in x 2.848 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt (- (+ (sqrt 1.0) (/ 1 x))))) (pow (- (sqrt 1.0) (/ 1 x)) 1/4)) in (x) around 0 2.848 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt (- (+ (sqrt 1.0) (/ 1 x))))) (pow (- (sqrt 1.0) (/ 1 x)) 1/4)) in x 2.848 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (sqrt 1.0) (/ 1 x))))) in x 2.848 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 2.848 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 2.848 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.848 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.848 * [taylor]: Taking taylor expansion of 1.0 in x 2.849 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.849 * [taylor]: Taking taylor expansion of x in x 2.862 * [taylor]: Taking taylor expansion of (pow (- (sqrt 1.0) (/ 1 x)) 1/4) in x 2.862 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (sqrt 1.0) (/ 1 x))))) in x 2.862 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (sqrt 1.0) (/ 1 x)))) in x 2.862 * [taylor]: Taking taylor expansion of 1/4 in x 2.862 * [taylor]: Taking taylor expansion of (log (- (sqrt 1.0) (/ 1 x))) in x 2.862 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.862 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.862 * [taylor]: Taking taylor expansion of 1.0 in x 2.863 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.863 * [taylor]: Taking taylor expansion of x in x 2.865 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt (- (+ (sqrt 1.0) (/ 1 x))))) (pow (- (sqrt 1.0) (/ 1 x)) 1/4)) in x 2.865 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (sqrt 1.0) (/ 1 x))))) in x 2.865 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 2.865 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 2.865 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.865 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.865 * [taylor]: Taking taylor expansion of 1.0 in x 2.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.866 * [taylor]: Taking taylor expansion of x in x 2.874 * [taylor]: Taking taylor expansion of (pow (- (sqrt 1.0) (/ 1 x)) 1/4) in x 2.875 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (sqrt 1.0) (/ 1 x))))) in x 2.875 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (sqrt 1.0) (/ 1 x)))) in x 2.875 * [taylor]: Taking taylor expansion of 1/4 in x 2.875 * [taylor]: Taking taylor expansion of (log (- (sqrt 1.0) (/ 1 x))) in x 2.875 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.875 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.875 * [taylor]: Taking taylor expansion of 1.0 in x 2.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.875 * [taylor]: Taking taylor expansion of x in x 2.981 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1) 2.982 * [approximate]: Taking taylor expansion of (pow (+ x (sqrt 1.0)) 1/4) in (x) around 0 2.982 * [taylor]: Taking taylor expansion of (pow (+ x (sqrt 1.0)) 1/4) in x 2.982 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x (sqrt 1.0))))) in x 2.982 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x (sqrt 1.0)))) in x 2.982 * [taylor]: Taking taylor expansion of 1/4 in x 2.982 * [taylor]: Taking taylor expansion of (log (+ x (sqrt 1.0))) in x 2.982 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 2.982 * [taylor]: Taking taylor expansion of x in x 2.982 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.982 * [taylor]: Taking taylor expansion of 1.0 in x 2.986 * [taylor]: Taking taylor expansion of (pow (+ x (sqrt 1.0)) 1/4) in x 2.986 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x (sqrt 1.0))))) in x 2.986 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x (sqrt 1.0)))) in x 2.986 * [taylor]: Taking taylor expansion of 1/4 in x 2.986 * [taylor]: Taking taylor expansion of (log (+ x (sqrt 1.0))) in x 2.986 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 2.986 * [taylor]: Taking taylor expansion of x in x 2.986 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.986 * [taylor]: Taking taylor expansion of 1.0 in x 3.042 * [approximate]: Taking taylor expansion of (pow (+ (sqrt 1.0) (/ 1 x)) 1/4) in (x) around 0 3.042 * [taylor]: Taking taylor expansion of (pow (+ (sqrt 1.0) (/ 1 x)) 1/4) in x 3.042 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (sqrt 1.0) (/ 1 x))))) in x 3.042 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (sqrt 1.0) (/ 1 x)))) in x 3.042 * [taylor]: Taking taylor expansion of 1/4 in x 3.042 * [taylor]: Taking taylor expansion of (log (+ (sqrt 1.0) (/ 1 x))) in x 3.042 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.042 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.042 * [taylor]: Taking taylor expansion of 1.0 in x 3.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.043 * [taylor]: Taking taylor expansion of x in x 3.044 * [taylor]: Taking taylor expansion of (pow (+ (sqrt 1.0) (/ 1 x)) 1/4) in x 3.044 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (sqrt 1.0) (/ 1 x))))) in x 3.044 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (sqrt 1.0) (/ 1 x)))) in x 3.044 * [taylor]: Taking taylor expansion of 1/4 in x 3.044 * [taylor]: Taking taylor expansion of (log (+ (sqrt 1.0) (/ 1 x))) in x 3.044 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.044 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.044 * [taylor]: Taking taylor expansion of 1.0 in x 3.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.045 * [taylor]: Taking taylor expansion of x in x 3.075 * [approximate]: Taking taylor expansion of (pow (- (sqrt 1.0) (/ 1 x)) 1/4) in (x) around 0 3.075 * [taylor]: Taking taylor expansion of (pow (- (sqrt 1.0) (/ 1 x)) 1/4) in x 3.075 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (sqrt 1.0) (/ 1 x))))) in x 3.075 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (sqrt 1.0) (/ 1 x)))) in x 3.075 * [taylor]: Taking taylor expansion of 1/4 in x 3.075 * [taylor]: Taking taylor expansion of (log (- (sqrt 1.0) (/ 1 x))) in x 3.075 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 3.075 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.075 * [taylor]: Taking taylor expansion of 1.0 in x 3.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.076 * [taylor]: Taking taylor expansion of x in x 3.078 * [taylor]: Taking taylor expansion of (pow (- (sqrt 1.0) (/ 1 x)) 1/4) in x 3.078 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (sqrt 1.0) (/ 1 x))))) in x 3.078 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (sqrt 1.0) (/ 1 x)))) in x 3.078 * [taylor]: Taking taylor expansion of 1/4 in x 3.078 * [taylor]: Taking taylor expansion of (log (- (sqrt 1.0) (/ 1 x))) in x 3.078 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 3.078 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.078 * [taylor]: Taking taylor expansion of 1.0 in x 3.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.079 * [taylor]: Taking taylor expansion of x in x 3.122 * * * [progress]: simplifying candidates 3.128 * [simplify]: Simplifying using # : (expm1 (* (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))))) (log1p (* (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ 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)) (+ 1 1) (+ 1 1) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0)))))) (* (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0)))))) (* (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (* (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0)))))) (* (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0)))))) (+ 1 1) (+ 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(pow (/ 1 x) -1/4))) (fma 1/4 (/ (* (sqrt 1.0) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) x) (- (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (* (/ 1.0 (/ (pow x 2) (exp (* 1/4 (- (log -1) (log (/ -1 x))))))) 3/32))) 3.274 * * * [progress]: adding candidates to table 4.139 * [progress]: [Phase 3 of 3] Extracting. 4.139 * * [regime]: Finding splitpoints for: (# #) 4.139 * * * [regime-changes]: Trying 1 branch expressions: (x) 4.140 * * * * [regimes]: Trying to branch on x from (# #) 4.152 * * * [regime]: Found split indices: #