15.489 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.078 * * * [progress]: [2/2] Setting up program. 0.081 * [progress]: [Phase 2 of 3] Improving. 0.081 * [simplify]: Simplifying using # : (log (+ x (sqrt (- (* x x) 1.0)))) 0.084 * * [simplify]: iteration 0 : 11 enodes (cost 5 ) 0.085 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.086 * * [simplify]: iteration 2 : 12 enodes (cost 5 ) 0.087 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1.0)))) 0.087 * * [progress]: iteration 1 / 4 0.087 * * * [progress]: picking best candidate 0.089 * * * * [pick]: Picked # 0.089 * * * [progress]: localizing error 0.096 * * * [progress]: generating rewritten candidates 0.096 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.101 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.107 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.113 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.119 * * * [progress]: generating series expansions 0.119 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.119 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.119 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.119 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of 1.0 in x 0.122 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.122 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.141 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.141 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [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 (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.144 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.160 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.160 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.162 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.175 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in (x) around 0 0.175 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 0.175 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.175 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.175 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 0.179 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.179 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.180 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of 1.0 in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.236 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.236 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.236 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.236 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.236 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of 1.0 in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.239 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.239 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.239 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of 1.0 in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.286 * [approximate]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.286 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.286 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.286 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.295 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.295 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.295 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.369 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.369 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 0.369 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.369 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.369 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.371 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.371 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.382 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.382 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.382 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.391 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.391 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.407 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.407 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.408 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.408 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.410 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.410 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.438 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.438 * [approximate]: Taking taylor expansion of (- (pow x 2) 1.0) in (x) around 0 0.438 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.447 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.462 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.462 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.462 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * * * [progress]: simplifying candidates 0.483 * [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 (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))))) (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))) (fma x x (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))) (fma x x (- (* (sqrt 1.0) (sqrt 1.0)))) (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0))) (fma x x (- (* 1.0 1))) (fma (- 1.0) 1 (* 1.0 1)) (expm1 (- (* x x) 1.0)) (log1p (- (* x x) 1.0)) (- 1.0) (/ (exp (* x x)) (exp 1.0)) (log (- (* x x) 1.0)) (exp (- (* x x) 1.0)) (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0))) (cbrt (- (* x x) 1.0)) (* (* (- (* x x) 1.0) (- (* x x) 1.0)) (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)) (- (pow (* x x) 3) (pow 1.0 3)) (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0))) (- 1.0) (- (* (* x x) (* x x)) (* 1.0 1.0)) (+ (* x x) 1.0) (+ x (sqrt 1.0)) (- x (sqrt 1.0)) (- 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) (- (+ (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))))) (+ 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)))) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) 0.489 * * [simplify]: iteration 0 : 384 enodes (cost 531 ) 0.497 * * [simplify]: iteration 1 : 1360 enodes (cost 471 ) 0.525 * * [simplify]: iteration 2 : 5002 enodes (cost 457 ) 0.528 * [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))) (hypot x (sqrt 1.0)) 1/2 (sqrt (sqrt (- (* x x) 1.0))) (sqrt (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))))) (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))) (- (* x x) 1.0) (fma (- 1.0) 1 1.0) (- (* x x) 1.0) (fma (- 1.0) 1 1.0) (- (* x x) 1.0) (fma (- 1.0) 1 1.0) (expm1 (- (* x x) 1.0)) (log1p (- (* x x) 1.0)) (- 1.0) (exp (- (* x x) 1.0)) (log (- (* x x) 1.0)) (exp (- (* x x) 1.0)) (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0))) (cbrt (- (* x x) 1.0)) (pow (- (* x x) 1.0) 3) (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)) (- (pow (* x x) 3) (pow 1.0 3)) (fma 1.0 (fma x x 1.0) (pow x 4)) (- 1.0) (fma (- 1.0) 1.0 (pow x 4)) (fma x x 1.0) (+ x (sqrt 1.0)) (- x (sqrt 1.0)) (- 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) (- (+ (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))))) (+ (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)))) (- (* x x) 1.0) (- (* x x) 1.0) (- (* x x) 1.0) 0.528 * * * [progress]: adding candidates to table 0.688 * * [progress]: iteration 2 / 4 0.688 * * * [progress]: picking best candidate 0.692 * * * * [pick]: Picked # 0.692 * * * [progress]: localizing error 0.702 * * * [progress]: generating rewritten candidates 0.702 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.715 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.718 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.722 * * * [progress]: generating series expansions 0.723 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.727 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 0.727 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.727 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.727 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.727 * [taylor]: Taking taylor expansion of 1.0 in x 0.728 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.728 * [taylor]: Taking taylor expansion of 1.0 in x 0.736 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.736 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.736 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.736 * [taylor]: Taking taylor expansion of 1.0 in x 0.737 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.737 * [taylor]: Taking taylor expansion of 1.0 in x 0.779 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.779 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.779 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.779 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.779 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.779 * [taylor]: Taking taylor expansion of 1.0 in x 0.780 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.780 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.780 * [taylor]: Taking taylor expansion of 1.0 in x 0.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.787 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.787 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.788 * [taylor]: Taking taylor expansion of 1.0 in x 0.788 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.788 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.788 * [taylor]: Taking taylor expansion of 1.0 in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.825 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.825 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.825 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.825 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.826 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.826 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.826 * [taylor]: Taking taylor expansion of 1.0 in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.828 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.828 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.828 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.828 * [taylor]: Taking taylor expansion of 1.0 in x 0.829 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.831 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.831 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.831 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.831 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.831 * [taylor]: Taking taylor expansion of 1.0 in x 0.832 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.834 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.834 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.834 * [taylor]: Taking taylor expansion of 1.0 in x 0.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.834 * [taylor]: Taking taylor expansion of x in x 0.922 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.923 * [approximate]: Taking taylor expansion of (log (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in (x) around 0 0.923 * [taylor]: Taking taylor expansion of (log (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 0.923 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.923 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.923 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.923 * [taylor]: Taking taylor expansion of 1.0 in x 0.924 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.924 * [taylor]: Taking taylor expansion of 1.0 in x 0.936 * [taylor]: Taking taylor expansion of (log (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 0.936 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.936 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.936 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.936 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 1.031 * [approximate]: Taking taylor expansion of (log (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in (x) around 0 1.031 * [taylor]: Taking taylor expansion of (log (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.031 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.031 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.031 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.031 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.032 * [taylor]: Taking taylor expansion of 1.0 in x 1.032 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.032 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.032 * [taylor]: Taking taylor expansion of 1.0 in x 1.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (log (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.040 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.040 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.040 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.040 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.040 * [taylor]: Taking taylor expansion of 1.0 in x 1.041 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.041 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.041 * [taylor]: Taking taylor expansion of 1.0 in x 1.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.135 * [approximate]: Taking taylor expansion of (log (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in (x) around 0 1.135 * [taylor]: Taking taylor expansion of (log (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.135 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.135 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.135 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.135 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.135 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.135 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.135 * [taylor]: Taking taylor expansion of 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 1.138 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.138 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.138 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.138 * [taylor]: Taking taylor expansion of 1.0 in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.142 * [taylor]: Taking taylor expansion of (log (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.142 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.142 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.142 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.142 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.142 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.142 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.142 * [taylor]: Taking taylor expansion of 1.0 in x 1.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.145 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.145 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.145 * [taylor]: Taking taylor expansion of 1.0 in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.204 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.205 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in (x) around 0 1.205 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.205 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.205 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.205 * [taylor]: Taking taylor expansion of 1.0 in x 1.206 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.206 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.206 * [taylor]: Taking taylor expansion of 1.0 in x 1.220 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.220 * [taylor]: Taking taylor expansion of x in x 1.220 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.220 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.220 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.220 * [taylor]: Taking taylor expansion of 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 (- x (sqrt 1.0)) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.221 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.221 * [taylor]: Taking taylor expansion of 1.0 in x 1.248 * [approximate]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 1.248 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.248 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.248 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.248 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.248 * [taylor]: Taking taylor expansion of 1.0 in x 1.249 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.249 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.249 * [taylor]: Taking taylor expansion of 1.0 in x 1.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.250 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.256 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.256 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.256 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.256 * [taylor]: Taking taylor expansion of 1.0 in x 1.257 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.257 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.257 * [taylor]: Taking taylor expansion of 1.0 in x 1.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.258 * [taylor]: Taking taylor expansion of x in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.303 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 1.303 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.303 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.303 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.303 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.303 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.303 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.303 * [taylor]: Taking taylor expansion of 1.0 in x 1.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.305 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.305 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.305 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.306 * [taylor]: Taking taylor expansion of 1.0 in x 1.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.308 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.308 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.308 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.308 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.308 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.308 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.308 * [taylor]: Taking taylor expansion of 1.0 in x 1.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.311 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.311 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.311 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.311 * [taylor]: Taking taylor expansion of 1.0 in x 1.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.312 * [taylor]: Taking taylor expansion of x in x 1.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.313 * [taylor]: Taking taylor expansion of x in x 1.352 * * * [progress]: simplifying candidates 1.354 * [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 (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))))))) (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))))))))))) (- (+ (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))))))) (+ (* 1/2 (/ (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))))))) 1.360 * * [simplify]: iteration 0 : 467 enodes (cost 1012 ) 1.368 * * [simplify]: iteration 1 : 1665 enodes (cost 907 ) 1.395 * * [simplify]: iteration 2 : 5001 enodes (cost 894 ) 1.399 * [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 (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))))))) (* 2 (log (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))))))) 0 (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (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 (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))))))) (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 (* (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 (/ (* 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))))) (- (+ (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)) (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)))) 1.399 * * * [progress]: adding candidates to table 1.605 * * [progress]: iteration 3 / 4 1.606 * * * [progress]: picking best candidate 1.608 * * * * [pick]: Picked # 1.608 * * * [progress]: localizing error 1.809 * * * [progress]: generating rewritten candidates 1.809 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.813 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.888 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 1.894 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.980 * * * [progress]: generating series expansions 1.980 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.981 * [approximate]: Taking taylor expansion of (/ 0.09375 (pow x 4)) in (x) around 0 1.981 * [taylor]: Taking taylor expansion of (/ 0.09375 (pow x 4)) in x 1.981 * [taylor]: Taking taylor expansion of 0.09375 in x 1.981 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.981 * [taylor]: Taking taylor expansion of x in x 1.982 * [taylor]: Taking taylor expansion of (/ 0.09375 (pow x 4)) in x 1.982 * [taylor]: Taking taylor expansion of 0.09375 in x 1.982 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.982 * [taylor]: Taking taylor expansion of x in x 2.002 * [approximate]: Taking taylor expansion of (* 0.09375 (pow x 4)) in (x) around 0 2.002 * [taylor]: Taking taylor expansion of (* 0.09375 (pow x 4)) in x 2.002 * [taylor]: Taking taylor expansion of 0.09375 in x 2.002 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.002 * [taylor]: Taking taylor expansion of x in x 2.002 * [taylor]: Taking taylor expansion of (* 0.09375 (pow x 4)) in x 2.002 * [taylor]: Taking taylor expansion of 0.09375 in x 2.002 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.002 * [taylor]: Taking taylor expansion of x in x 2.014 * [approximate]: Taking taylor expansion of (* 0.09375 (pow x 4)) in (x) around 0 2.014 * [taylor]: Taking taylor expansion of (* 0.09375 (pow x 4)) in x 2.014 * [taylor]: Taking taylor expansion of 0.09375 in x 2.014 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.014 * [taylor]: Taking taylor expansion of x in x 2.014 * [taylor]: Taking taylor expansion of (* 0.09375 (pow x 4)) in x 2.014 * [taylor]: Taking taylor expansion of 0.09375 in x 2.014 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.014 * [taylor]: Taking taylor expansion of x in x 2.026 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.026 * [approximate]: Taking taylor expansion of (- (+ (log x) (log 2)) (+ (* 0.25 (/ 1 (pow x 2))) (* 0.09375 (/ 1 (pow x 4))))) in (x) around 0 2.026 * [taylor]: Taking taylor expansion of (- (+ (log x) (log 2)) (+ (* 0.25 (/ 1 (pow x 2))) (* 0.09375 (/ 1 (pow x 4))))) in x 2.026 * [taylor]: Taking taylor expansion of (+ (log x) (log 2)) in x 2.026 * [taylor]: Taking taylor expansion of (log x) in x 2.026 * [taylor]: Taking taylor expansion of x in x 2.027 * [taylor]: Taking taylor expansion of (log 2) in x 2.027 * [taylor]: Taking taylor expansion of 2 in x 2.027 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (pow x 2))) (* 0.09375 (/ 1 (pow x 4)))) in x 2.027 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 2.027 * [taylor]: Taking taylor expansion of 0.25 in x 2.027 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.027 * [taylor]: Taking taylor expansion of x in x 2.027 * [taylor]: Taking taylor expansion of (* 0.09375 (/ 1 (pow x 4))) in x 2.027 * [taylor]: Taking taylor expansion of 0.09375 in x 2.027 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.027 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.027 * [taylor]: Taking taylor expansion of x in x 2.028 * [taylor]: Taking taylor expansion of (- (+ (log x) (log 2)) (+ (* 0.25 (/ 1 (pow x 2))) (* 0.09375 (/ 1 (pow x 4))))) in x 2.028 * [taylor]: Taking taylor expansion of (+ (log x) (log 2)) in x 2.028 * [taylor]: Taking taylor expansion of (log x) in x 2.028 * [taylor]: Taking taylor expansion of x in x 2.028 * [taylor]: Taking taylor expansion of (log 2) in x 2.029 * [taylor]: Taking taylor expansion of 2 in x 2.029 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (pow x 2))) (* 0.09375 (/ 1 (pow x 4)))) in x 2.029 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 2.029 * [taylor]: Taking taylor expansion of 0.25 in x 2.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.029 * [taylor]: Taking taylor expansion of x in x 2.029 * [taylor]: Taking taylor expansion of (* 0.09375 (/ 1 (pow x 4))) in x 2.029 * [taylor]: Taking taylor expansion of 0.09375 in x 2.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.029 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.029 * [taylor]: Taking taylor expansion of x in x 2.048 * [approximate]: Taking taylor expansion of (- (+ (log (/ 1 x)) (log 2)) (+ (* 0.25 (pow x 2)) (* 0.09375 (pow x 4)))) in (x) around 0 2.048 * [taylor]: Taking taylor expansion of (- (+ (log (/ 1 x)) (log 2)) (+ (* 0.25 (pow x 2)) (* 0.09375 (pow x 4)))) in x 2.048 * [taylor]: Taking taylor expansion of (+ (log (/ 1 x)) (log 2)) in x 2.048 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.048 * [taylor]: Taking taylor expansion of x in x 2.049 * [taylor]: Taking taylor expansion of (log 2) in x 2.049 * [taylor]: Taking taylor expansion of 2 in x 2.049 * [taylor]: Taking taylor expansion of (+ (* 0.25 (pow x 2)) (* 0.09375 (pow x 4))) in x 2.049 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.049 * [taylor]: Taking taylor expansion of 0.25 in x 2.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.049 * [taylor]: Taking taylor expansion of (* 0.09375 (pow x 4)) in x 2.049 * [taylor]: Taking taylor expansion of 0.09375 in x 2.049 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.049 * [taylor]: Taking taylor expansion of (- (+ (log (/ 1 x)) (log 2)) (+ (* 0.25 (pow x 2)) (* 0.09375 (pow x 4)))) in x 2.049 * [taylor]: Taking taylor expansion of (+ (log (/ 1 x)) (log 2)) in x 2.049 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.050 * [taylor]: Taking taylor expansion of (log 2) in x 2.050 * [taylor]: Taking taylor expansion of 2 in x 2.050 * [taylor]: Taking taylor expansion of (+ (* 0.25 (pow x 2)) (* 0.09375 (pow x 4))) in x 2.050 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.050 * [taylor]: Taking taylor expansion of 0.25 in x 2.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.050 * [taylor]: Taking taylor expansion of x in x 2.050 * [taylor]: Taking taylor expansion of (* 0.09375 (pow x 4)) in x 2.050 * [taylor]: Taking taylor expansion of 0.09375 in x 2.050 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.050 * [taylor]: Taking taylor expansion of x in x 2.084 * [approximate]: Taking taylor expansion of (- (+ (log 2) (log (/ -1 x))) (+ (* 0.25 (pow x 2)) (* 0.09375 (pow x 4)))) in (x) around 0 2.084 * [taylor]: Taking taylor expansion of (- (+ (log 2) (log (/ -1 x))) (+ (* 0.25 (pow x 2)) (* 0.09375 (pow x 4)))) in x 2.084 * [taylor]: Taking taylor expansion of (+ (log 2) (log (/ -1 x))) in x 2.084 * [taylor]: Taking taylor expansion of (log 2) in x 2.084 * [taylor]: Taking taylor expansion of 2 in x 2.084 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 2.084 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.084 * [taylor]: Taking taylor expansion of -1 in x 2.084 * [taylor]: Taking taylor expansion of x in x 2.085 * [taylor]: Taking taylor expansion of (+ (* 0.25 (pow x 2)) (* 0.09375 (pow x 4))) in x 2.085 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.085 * [taylor]: Taking taylor expansion of 0.25 in x 2.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.085 * [taylor]: Taking taylor expansion of x in x 2.085 * [taylor]: Taking taylor expansion of (* 0.09375 (pow x 4)) in x 2.085 * [taylor]: Taking taylor expansion of 0.09375 in x 2.085 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.085 * [taylor]: Taking taylor expansion of x in x 2.085 * [taylor]: Taking taylor expansion of (- (+ (log 2) (log (/ -1 x))) (+ (* 0.25 (pow x 2)) (* 0.09375 (pow x 4)))) in x 2.085 * [taylor]: Taking taylor expansion of (+ (log 2) (log (/ -1 x))) in x 2.085 * [taylor]: Taking taylor expansion of (log 2) in x 2.085 * [taylor]: Taking taylor expansion of 2 in x 2.085 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 2.085 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.085 * [taylor]: Taking taylor expansion of -1 in x 2.085 * [taylor]: Taking taylor expansion of x in x 2.086 * [taylor]: Taking taylor expansion of (+ (* 0.25 (pow x 2)) (* 0.09375 (pow x 4))) in x 2.086 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.086 * [taylor]: Taking taylor expansion of 0.25 in x 2.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.086 * [taylor]: Taking taylor expansion of x in x 2.086 * [taylor]: Taking taylor expansion of (* 0.09375 (pow x 4)) in x 2.086 * [taylor]: Taking taylor expansion of 0.09375 in x 2.086 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.086 * [taylor]: Taking taylor expansion of x in x 2.119 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 2.119 * [approximate]: Taking taylor expansion of (/ 0.25 (pow x 2)) in (x) around 0 2.119 * [taylor]: Taking taylor expansion of (/ 0.25 (pow x 2)) in x 2.119 * [taylor]: Taking taylor expansion of 0.25 in x 2.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.119 * [taylor]: Taking taylor expansion of x in x 2.119 * [taylor]: Taking taylor expansion of (/ 0.25 (pow x 2)) in x 2.119 * [taylor]: Taking taylor expansion of 0.25 in x 2.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.119 * [taylor]: Taking taylor expansion of x in x 2.127 * [approximate]: Taking taylor expansion of (* 0.25 (pow x 2)) in (x) around 0 2.127 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.127 * [taylor]: Taking taylor expansion of 0.25 in x 2.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.127 * [taylor]: Taking taylor expansion of x in x 2.127 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.127 * [taylor]: Taking taylor expansion of 0.25 in x 2.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.127 * [taylor]: Taking taylor expansion of x in x 2.135 * [approximate]: Taking taylor expansion of (* 0.25 (pow x 2)) in (x) around 0 2.135 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.135 * [taylor]: Taking taylor expansion of 0.25 in x 2.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.135 * [taylor]: Taking taylor expansion of x in x 2.135 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.135 * [taylor]: Taking taylor expansion of 0.25 in x 2.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.135 * [taylor]: Taking taylor expansion of x in x 2.143 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.143 * [approximate]: Taking taylor expansion of (- (log x) (* 0.25 (/ 1 (pow x 2)))) in (x) around 0 2.143 * [taylor]: Taking taylor expansion of (- (log x) (* 0.25 (/ 1 (pow x 2)))) in x 2.143 * [taylor]: Taking taylor expansion of (log x) in x 2.143 * [taylor]: Taking taylor expansion of x in x 2.143 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 2.143 * [taylor]: Taking taylor expansion of 0.25 in x 2.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.143 * [taylor]: Taking taylor expansion of x in x 2.146 * [taylor]: Taking taylor expansion of (- (log x) (* 0.25 (/ 1 (pow x 2)))) in x 2.146 * [taylor]: Taking taylor expansion of (log x) in x 2.146 * [taylor]: Taking taylor expansion of x in x 2.147 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 2.147 * [taylor]: Taking taylor expansion of 0.25 in x 2.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.147 * [taylor]: Taking taylor expansion of x in x 2.198 * [approximate]: Taking taylor expansion of (- (log (/ 1 x)) (* 0.25 (pow x 2))) in (x) around 0 2.198 * [taylor]: Taking taylor expansion of (- (log (/ 1 x)) (* 0.25 (pow x 2))) in x 2.198 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.198 * [taylor]: Taking taylor expansion of x in x 2.199 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.199 * [taylor]: Taking taylor expansion of 0.25 in x 2.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.199 * [taylor]: Taking taylor expansion of x in x 2.199 * [taylor]: Taking taylor expansion of (- (log (/ 1 x)) (* 0.25 (pow x 2))) in x 2.199 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.199 * [taylor]: Taking taylor expansion of x in x 2.200 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.200 * [taylor]: Taking taylor expansion of 0.25 in x 2.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.200 * [taylor]: Taking taylor expansion of x in x 2.315 * [approximate]: Taking taylor expansion of (- (log (/ -1 x)) (* 0.25 (pow x 2))) in (x) around 0 2.315 * [taylor]: Taking taylor expansion of (- (log (/ -1 x)) (* 0.25 (pow x 2))) in x 2.315 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 2.315 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.316 * [taylor]: Taking taylor expansion of -1 in x 2.316 * [taylor]: Taking taylor expansion of x in x 2.316 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.316 * [taylor]: Taking taylor expansion of 0.25 in x 2.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.316 * [taylor]: Taking taylor expansion of x in x 2.316 * [taylor]: Taking taylor expansion of (- (log (/ -1 x)) (* 0.25 (pow x 2))) in x 2.316 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 2.316 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.316 * [taylor]: Taking taylor expansion of -1 in x 2.316 * [taylor]: Taking taylor expansion of x in x 2.317 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.317 * [taylor]: Taking taylor expansion of 0.25 in x 2.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.317 * [taylor]: Taking taylor expansion of x in x 2.437 * * * [progress]: simplifying candidates 2.451 * [simplify]: Simplifying using # : (expm1 (/ 0.09375 (pow x 4))) (log1p (/ 0.09375 (pow x 4))) (- (log 0.09375) (* (log x) 4)) (- (log 0.09375) (* (log x) 4)) (- (log 0.09375) (log (pow x 4))) (log (/ 0.09375 (pow x 4))) (exp (/ 0.09375 (pow x 4))) (/ (* (* 0.09375 0.09375) 0.09375) (* (* (pow x 4) (pow x 4)) (pow x 4))) (* (cbrt (/ 0.09375 (pow x 4))) (cbrt (/ 0.09375 (pow x 4)))) (cbrt (/ 0.09375 (pow x 4))) (* (* (/ 0.09375 (pow x 4)) (/ 0.09375 (pow x 4))) (/ 0.09375 (pow x 4))) (sqrt (/ 0.09375 (pow x 4))) (sqrt (/ 0.09375 (pow x 4))) (- 0.09375) (- (pow x 4)) (/ (* (cbrt 0.09375) (cbrt 0.09375)) (pow (* (cbrt x) (cbrt x)) 4)) (/ (cbrt 0.09375) (pow (cbrt x) 4)) (/ (* (cbrt 0.09375) (cbrt 0.09375)) (pow (sqrt x) 4)) (/ (cbrt 0.09375) (pow (sqrt x) 4)) (/ (* (cbrt 0.09375) (cbrt 0.09375)) (pow 1 4)) (/ (cbrt 0.09375) (pow x 4)) (/ (* (cbrt 0.09375) (cbrt 0.09375)) (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (/ (cbrt 0.09375) (cbrt (pow x 4))) (/ (* (cbrt 0.09375) (cbrt 0.09375)) (sqrt (pow x 4))) (/ (cbrt 0.09375) (sqrt (pow x 4))) (/ (* (cbrt 0.09375) (cbrt 0.09375)) 1) (/ (cbrt 0.09375) (pow x 4)) (/ (* (cbrt 0.09375) (cbrt 0.09375)) (pow x (/ 4 2))) (/ (cbrt 0.09375) (pow x (/ 4 2))) (/ (sqrt 0.09375) (pow (* (cbrt x) (cbrt x)) 4)) (/ (sqrt 0.09375) (pow (cbrt x) 4)) (/ (sqrt 0.09375) (pow (sqrt x) 4)) (/ (sqrt 0.09375) (pow (sqrt x) 4)) (/ (sqrt 0.09375) (pow 1 4)) (/ (sqrt 0.09375) (pow x 4)) (/ (sqrt 0.09375) (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (/ (sqrt 0.09375) (cbrt (pow x 4))) (/ (sqrt 0.09375) (sqrt (pow x 4))) (/ (sqrt 0.09375) (sqrt (pow x 4))) (/ (sqrt 0.09375) 1) (/ (sqrt 0.09375) (pow x 4)) (/ (sqrt 0.09375) (pow x (/ 4 2))) (/ (sqrt 0.09375) (pow x (/ 4 2))) (/ 1 (pow (* (cbrt x) (cbrt x)) 4)) (/ 0.09375 (pow (cbrt x) 4)) (/ 1 (pow (sqrt x) 4)) (/ 0.09375 (pow (sqrt x) 4)) (/ 1 (pow 1 4)) (/ 0.09375 (pow x 4)) (/ 1 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (/ 0.09375 (cbrt (pow x 4))) (/ 1 (sqrt (pow x 4))) (/ 0.09375 (sqrt (pow x 4))) (/ 1 1) (/ 0.09375 (pow x 4)) (/ 1 (pow x (/ 4 2))) (/ 0.09375 (pow x (/ 4 2))) (/ 1 (pow x 4)) (/ (pow x 4) 0.09375) (/ 0.09375 (pow (* (cbrt x) (cbrt x)) 4)) (/ 0.09375 (pow (sqrt x) 4)) (/ 0.09375 (pow 1 4)) (/ 0.09375 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (/ 0.09375 (sqrt (pow x 4))) (/ 0.09375 1) (/ 0.09375 (pow x (/ 4 2))) (/ (pow x 4) (cbrt 0.09375)) (/ (pow x 4) (sqrt 0.09375)) (/ (pow x 4) 0.09375) (expm1 (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4))))) (log1p (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4))))) (* 2 (/ (/ x (exp (/ (/ 0.25 x) x))) (exp (/ 0.09375 (pow x 4))))) (* 2 (/ (exp (- (log x) (/ (/ 0.25 x) x))) (exp (/ 0.09375 (pow x 4))))) (* 2 (exp (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4))))) (log (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4))))) (exp (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4))))) (* (cbrt (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4))))) (cbrt (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))))) (cbrt (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4))))) (* (* (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))) (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4))))) (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4))))) (sqrt (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4))))) (sqrt (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4))))) (+ (pow (log 2) 3) (pow (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4))) 3)) (+ (* (log 2) (log 2)) (- (* (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4))) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))) (* (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))))) (- (* (log 2) (log 2)) (* (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4))) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4))))) (- (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))) (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))) (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))) (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))) (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))) (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))) (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))) (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))) (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))) (+ (log 2) (fma (* (cbrt (- (log x) (/ (/ 0.25 x) x))) (cbrt (- (log x) (/ (/ 0.25 x) x)))) (cbrt (- (log x) (/ (/ 0.25 x) x))) (- (* (cbrt (/ 0.09375 (pow x 4))) (* (cbrt (/ 0.09375 (pow x 4))) (cbrt (/ 0.09375 (pow x 4)))))))) (+ (log 2) (fma (* (cbrt (- (log x) (/ (/ 0.25 x) x))) (cbrt (- (log x) (/ (/ 0.25 x) x)))) (cbrt (- (log x) (/ (/ 0.25 x) x))) (- (* (sqrt (/ 0.09375 (pow x 4))) (sqrt (/ 0.09375 (pow x 4))))))) (+ (log 2) (fma (* (cbrt (- (log x) (/ (/ 0.25 x) x))) (cbrt (- (log x) (/ (/ 0.25 x) x)))) (cbrt (- (log x) (/ (/ 0.25 x) x))) (- (* (/ (cbrt 0.09375) (pow (cbrt x) 4)) (/ (* (cbrt 0.09375) (cbrt 0.09375)) (pow (* (cbrt x) (cbrt x)) 4)))))) (+ (log 2) (fma (* (cbrt (- (log x) (/ (/ 0.25 x) x))) (cbrt (- (log x) (/ (/ 0.25 x) x)))) (cbrt (- (log x) (/ (/ 0.25 x) x))) (- (* (/ (cbrt 0.09375) (pow (sqrt x) 4)) (/ (* (cbrt 0.09375) (cbrt 0.09375)) (pow (sqrt x) 4)))))) (+ (log 2) (fma (* (cbrt (- (log x) (/ (/ 0.25 x) x))) (cbrt (- (log x) (/ (/ 0.25 x) x)))) (cbrt (- (log x) (/ (/ 0.25 x) x))) (- (* (/ (cbrt 0.09375) (pow x 4)) (/ (* (cbrt 0.09375) (cbrt 0.09375)) (pow 1 4)))))) (+ (log 2) (fma (* (cbrt (- (log x) (/ (/ 0.25 x) 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(sqrt 0.25) (sqrt x)) (sqrt x))) (- (sqrt (log x)) (/ (/ (sqrt 0.25) (sqrt x)) (sqrt x))) (- (log x) (/ (/ 0.25 x) x)) (- (log x) (/ (/ 0.25 x) x)) (- (log (cbrt x)) (/ (/ 0.25 x) x)) (- (log (sqrt x)) (/ (/ 0.25 x) x)) (- (log x) (/ (/ 0.25 x) x)) (- (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)) (/ 0.09375 (pow x 4)) (/ 0.09375 (pow x 4)) (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))) (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))) (+ (log -1) (- (log 2) (fma 0.25 (/ 1 (pow x 2)) (fma 0.09375 (/ 1 (pow x 4)) (log (/ -1 x)))))) (/ (/ 0.25 x) x) (/ (/ 0.25 x) x) (/ (/ 0.25 x) x) (- (log x) (/ (/ 0.25 x) x)) (- (log x) (/ (/ 0.25 x) x)) (- (log -1) (+ (* 0.25 (/ 1 (pow x 2))) (log (/ -1 x)))) 2.591 * * * [progress]: adding candidates to table 4.217 * [progress]: [Phase 3 of 3] Extracting. 4.217 * * [regime]: Finding splitpoints for: (# #) 4.218 * * * [regime-changes]: Trying 1 branch expressions: (x) 4.218 * * * * [regimes]: Trying to branch on x from (# #) 4.229 * * * [regime]: Found split indices: #