4.888 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.049 * [progress]: [Phase 2 of 3] Improving. 0.049 * [simplify]: Simplifying using # : (log (+ x (sqrt (- (* x x) 1.0)))) 0.051 * * [simplify]: iteration 0 : 11 enodes (cost 5 ) 0.053 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.054 * * [simplify]: iteration 2 : 12 enodes (cost 5 ) 0.054 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1.0)))) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.056 * * * * [pick]: Picked # 0.056 * * * [progress]: localizing error 0.063 * * * [progress]: generating rewritten candidates 0.063 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.069 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.078 * * * [progress]: generating series expansions 0.078 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.079 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.079 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.079 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.081 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.099 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.100 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.102 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.114 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.114 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.114 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.117 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of 1.0 in x 0.132 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.132 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 0.132 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.132 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.132 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.134 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.134 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.146 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.146 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.146 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.148 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.148 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.165 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.165 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.165 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.165 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.168 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.168 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.196 * * * [progress]: simplifying candidates 0.197 * [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))) (- (+ (* 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)))) 0.202 * * [simplify]: iteration 0 : 235 enodes (cost 239 ) 0.206 * * [simplify]: iteration 1 : 739 enodes (cost 223 ) 0.219 * * [simplify]: iteration 2 : 2858 enodes (cost 218 ) 0.276 * * [simplify]: iteration 3 : 5001 enodes (cost 216 ) 0.277 * [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))) 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 (sqrt (- (* x x) 1.0))) (- (* x x) 1.0)) (+ 1.0 0) (- x (sqrt (- (* x x) 1.0))) (+ 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 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 x) (- (* 0.125 (/ 1 (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 0.125 (/ 1 (pow x 3)) (fma 0.0625 (/ 1 (pow x 5)) (* 0.5 (/ 1 x)))) 0.278 * * * [progress]: adding candidates to table 0.384 * * [progress]: iteration 2 / 4 0.384 * * * [progress]: picking best candidate 0.388 * * * * [pick]: Picked # 0.388 * * * [progress]: localizing error 0.401 * * * [progress]: generating rewritten candidates 0.401 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.429 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.433 * * * [progress]: generating series expansions 0.433 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.434 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 0.434 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.434 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.434 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.434 * [taylor]: Taking taylor expansion of 1.0 in x 0.435 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.435 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.444 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.444 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.490 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.490 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.490 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.490 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.490 * [taylor]: Taking taylor expansion of 1.0 in x 0.491 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.491 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.491 * [taylor]: Taking taylor expansion of 1.0 in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.498 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.498 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.498 * [taylor]: Taking taylor expansion of 1.0 in x 0.499 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.499 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.499 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.531 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.531 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.531 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.531 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.531 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.532 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.534 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.534 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.534 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.537 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.537 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.537 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.537 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.537 * [taylor]: Taking taylor expansion of 1.0 in x 0.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.539 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.540 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.540 * [taylor]: Taking taylor expansion of 1.0 in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.629 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.629 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in (x) around 0 0.630 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.630 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.630 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.630 * [taylor]: Taking taylor expansion of 1.0 in x 0.633 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.634 * [taylor]: Taking taylor expansion of 1.0 in x 0.642 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.642 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.642 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.643 * [taylor]: Taking taylor expansion of 1.0 in x 0.643 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.643 * [taylor]: Taking taylor expansion of 1.0 in x 0.672 * [approximate]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 0.672 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.672 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.672 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.672 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.672 * [taylor]: Taking taylor expansion of 1.0 in x 0.673 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.673 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.673 * [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 0.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.681 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.681 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.681 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.681 * [taylor]: Taking taylor expansion of 1.0 in x 0.682 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.682 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.682 * [taylor]: Taking taylor expansion of 1.0 in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.726 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 0.726 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.726 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.726 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.726 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.726 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.726 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.726 * [taylor]: Taking taylor expansion of 1.0 in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.729 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.729 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.729 * [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 0.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.732 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.732 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.732 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.732 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.732 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.732 * [taylor]: Taking taylor expansion of 1.0 in x 0.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.735 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.735 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.777 * * * [progress]: simplifying candidates 0.778 * [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))))) (- (+ (* 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))))))) 0.784 * * [simplify]: iteration 0 : 382 enodes (cost 708 ) 0.791 * * [simplify]: iteration 1 : 1369 enodes (cost 643 ) 0.817 * * [simplify]: iteration 2 : 5002 enodes (cost 629 ) 0.820 * [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)))) (* (hypot x (sqrt (* -1 (pow (sqrt 1.0) 2)))) (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 (* (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)))))) (pow (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) 3) (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)) (- (fma x x (pow x 2)) (+ 1.0 (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (+ 0 1.0) (- 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 (fma 1/2 (/ 1.0 x) (/ (* (* 1.0 1.0) 1/8) (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)))) 0.820 * * * [progress]: adding candidates to table 1.017 * * [progress]: iteration 3 / 4 1.017 * * * [progress]: picking best candidate 1.020 * * * * [pick]: Picked # 1.020 * * * [progress]: localizing error 1.033 * * * [progress]: generating rewritten candidates 1.033 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.049 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2) 1.081 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 1.109 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.118 * * * [progress]: generating series expansions 1.118 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.119 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in (x) around 0 1.119 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.120 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.120 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.129 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.129 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.129 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.129 * [taylor]: Taking taylor expansion of 1.0 in x 1.130 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.130 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.130 * [taylor]: Taking taylor expansion of 1.0 in x 1.162 * [approximate]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 1.162 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.162 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.162 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.162 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.162 * [taylor]: Taking taylor expansion of x in x 1.163 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.163 * [taylor]: Taking taylor expansion of 1.0 in x 1.163 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.163 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.163 * [taylor]: Taking taylor expansion of 1.0 in x 1.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.164 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.171 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.171 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.171 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.171 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.171 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.171 * [taylor]: Taking taylor expansion of 1.0 in x 1.172 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.172 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.172 * [taylor]: Taking taylor expansion of 1.0 in x 1.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.214 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 1.214 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.214 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.214 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.214 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.214 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.214 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.214 * [taylor]: Taking taylor expansion of 1.0 in x 1.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.215 * [taylor]: Taking taylor expansion of x in x 1.217 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.217 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.217 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.217 * [taylor]: Taking taylor expansion of 1.0 in x 1.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.219 * [taylor]: Taking taylor expansion of x in x 1.220 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.220 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.220 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.220 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.220 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.220 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.220 * [taylor]: Taking taylor expansion of 1.0 in x 1.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.220 * [taylor]: Taking taylor expansion of x in x 1.222 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.222 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.222 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.222 * [taylor]: Taking taylor expansion of 1.0 in x 1.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.268 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2) 1.268 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 1.268 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.268 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.268 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.269 * [taylor]: Taking taylor expansion of x in x 1.269 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.269 * [taylor]: Taking taylor expansion of 1.0 in x 1.269 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.269 * [taylor]: Taking taylor expansion of x in x 1.269 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.269 * [taylor]: Taking taylor expansion of 1.0 in x 1.278 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.278 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.278 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.278 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.278 * [taylor]: Taking taylor expansion of 1.0 in x 1.279 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.279 * [taylor]: Taking taylor expansion of x in x 1.279 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.279 * [taylor]: Taking taylor expansion of 1.0 in x 1.325 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.325 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.325 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.325 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.326 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.326 * [taylor]: Taking taylor expansion of 1.0 in x 1.326 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.326 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.326 * [taylor]: Taking taylor expansion of 1.0 in x 1.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.327 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.333 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.333 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.334 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.334 * [taylor]: Taking taylor expansion of 1.0 in x 1.334 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.334 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.367 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.367 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.367 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.367 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.367 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.367 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.368 * [taylor]: Taking taylor expansion of 1.0 in x 1.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.370 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.370 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.370 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.370 * [taylor]: Taking taylor expansion of 1.0 in x 1.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.371 * [taylor]: Taking taylor expansion of x in x 1.373 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.373 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.373 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.373 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.373 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.373 * [taylor]: Taking taylor expansion of 1.0 in x 1.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.373 * [taylor]: Taking taylor expansion of x in x 1.375 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.375 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.375 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.375 * [taylor]: Taking taylor expansion of 1.0 in x 1.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.376 * [taylor]: Taking taylor expansion of x in x 1.463 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 1.464 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 1.464 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.464 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.464 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.464 * [taylor]: Taking taylor expansion of x in x 1.464 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.464 * [taylor]: Taking taylor expansion of 1.0 in x 1.465 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.465 * [taylor]: Taking taylor expansion of x in x 1.465 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.465 * [taylor]: Taking taylor expansion of 1.0 in x 1.473 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.473 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.473 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.473 * [taylor]: Taking taylor expansion of x in x 1.473 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.473 * [taylor]: Taking taylor expansion of 1.0 in x 1.474 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.474 * [taylor]: Taking taylor expansion of x in x 1.474 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.474 * [taylor]: Taking taylor expansion of 1.0 in x 1.523 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.523 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.523 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.523 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.524 * [taylor]: Taking taylor expansion of 1.0 in x 1.524 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.524 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.524 * [taylor]: Taking taylor expansion of 1.0 in x 1.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.525 * [taylor]: Taking taylor expansion of x in x 1.531 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.531 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.531 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.532 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.532 * [taylor]: Taking taylor expansion of 1.0 in x 1.532 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.532 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.532 * [taylor]: Taking taylor expansion of 1.0 in x 1.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.571 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.571 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.571 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.571 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.571 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.571 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.571 * [taylor]: Taking taylor expansion of 1.0 in x 1.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.572 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.574 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.574 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.574 * [taylor]: Taking taylor expansion of 1.0 in x 1.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.576 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.576 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.576 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.576 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.577 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.577 * [taylor]: Taking taylor expansion of 1.0 in x 1.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.577 * [taylor]: Taking taylor expansion of x in x 1.579 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.579 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.579 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.579 * [taylor]: Taking taylor expansion of 1.0 in x 1.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.580 * [taylor]: Taking taylor expansion of x in x 1.673 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.674 * [approximate]: Taking taylor expansion of (sqrt (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in (x) around 0 1.674 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 1.674 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.674 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.674 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.674 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.674 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.674 * [taylor]: Taking taylor expansion of 1.0 in x 1.674 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.674 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.674 * [taylor]: Taking taylor expansion of 1.0 in x 1.691 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 1.691 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.691 * [taylor]: Taking taylor expansion of x in x 1.691 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.691 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.691 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.691 * [taylor]: Taking taylor expansion of x in x 1.691 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.691 * [taylor]: Taking taylor expansion of 1.0 in x 1.692 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.692 * [taylor]: Taking taylor expansion of x in x 1.692 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.692 * [taylor]: Taking taylor expansion of 1.0 in x 1.758 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in (x) around 0 1.758 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.758 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.758 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.758 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.758 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.758 * [taylor]: Taking taylor expansion of x in x 1.759 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.759 * [taylor]: Taking taylor expansion of 1.0 in x 1.759 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.759 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.759 * [taylor]: Taking taylor expansion of 1.0 in x 1.760 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.760 * [taylor]: Taking taylor expansion of x in x 1.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.766 * [taylor]: Taking taylor expansion of x in x 1.768 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.768 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.768 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.768 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.768 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.768 * [taylor]: Taking taylor expansion of x in x 1.768 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.768 * [taylor]: Taking taylor expansion of 1.0 in x 1.769 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.769 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.769 * [taylor]: Taking taylor expansion of 1.0 in x 1.770 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.770 * [taylor]: Taking taylor expansion of x in x 1.776 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.776 * [taylor]: Taking taylor expansion of x in x 1.800 * [approximate]: Taking taylor expansion of (sqrt (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in (x) around 0 1.800 * [taylor]: Taking taylor expansion of (sqrt (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.800 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.800 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.800 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.800 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.800 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.800 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.800 * [taylor]: Taking taylor expansion of 1.0 in x 1.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.801 * [taylor]: Taking taylor expansion of x in x 1.803 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.803 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.803 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.803 * [taylor]: Taking taylor expansion of 1.0 in x 1.803 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.803 * [taylor]: Taking taylor expansion of x in x 1.805 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.805 * [taylor]: Taking taylor expansion of x in x 1.807 * [taylor]: Taking taylor expansion of (sqrt (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.808 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.808 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.808 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.808 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.808 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.808 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.808 * [taylor]: Taking taylor expansion of 1.0 in x 1.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.810 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.810 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.810 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.810 * [taylor]: Taking taylor expansion of 1.0 in x 1.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.811 * [taylor]: Taking taylor expansion of x in x 1.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.813 * [taylor]: Taking taylor expansion of x in x 1.867 * * * [progress]: simplifying candidates 1.869 * [simplify]: Simplifying using # : (expm1 (* (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (log1p (* (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ 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))))))) (* (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ 1 1) (+ (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 (* (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (exp (* (sqrt (+ 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)))))) (sqrt (+ 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)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (* (cbrt (* (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (cbrt (* (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))))) (cbrt (* (sqrt (+ 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)))))) (sqrt (+ 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 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(sqrt 1.0) 2))) 3)))) (sqrt (sqrt (* -1 (pow (sqrt 1.0) 2)))))) (fma (- +nan.0) (/ (/ 1.0 x) x) (fma +nan.0 (/ 1 (pow x 2)) (fma (- +nan.0) (/ 1 x) +nan.0))) (fma (- +nan.0) (/ (sqrt 1.0) (pow x 2)) (fma +nan.0 (/ 1 (pow x 2)) (fma (- +nan.0) (/ 1 x) +nan.0))) 1.939 * * * [progress]: adding candidates to table 2.515 * [progress]: [Phase 3 of 3] Extracting. 2.518 * [simplify]: Simplifying using # : (log (* (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) 2.518 * * [simplify]: iteration 0 : 15 enodes (cost 20 ) 2.519 * * [simplify]: iteration 1 : 15 enodes (cost 20 ) 2.519 * [simplify]: Simplified to: (log (* (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) 3.973 * [regime-testing]: End program error score: 0.03774307920935223