0.918 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.279 * * * [progress]: [2/2] Setting up program. 0.283 * [progress]: [Phase 2 of 3] Improving. 0.285 * [simplify]: Simplifying using # : (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.289 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 0.290 * * [simplify]: iteration 1 : 19 enodes (cost 6 ) 0.292 * * [simplify]: iteration 2 : 21 enodes (cost 6 ) 0.293 * * [simplify]: iteration 3 : 21 enodes (cost 6 ) 0.294 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.295 * * [progress]: iteration 1 / 4 0.295 * * * [progress]: picking best candidate 0.298 * * * * [pick]: Picked # 0.298 * * * [progress]: localizing error 0.308 * * * [progress]: generating rewritten candidates 0.308 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.319 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.320 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.333 * * * [progress]: generating series expansions 0.333 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.337 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.338 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.338 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.340 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.350 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.350 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.366 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.366 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.377 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.377 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.389 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.389 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.389 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.391 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.391 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.391 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.392 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.392 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.392 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.392 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.393 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.393 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.393 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.393 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.393 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.399 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.399 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.399 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.423 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.423 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.423 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.423 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.423 * [taylor]: Taking taylor expansion of 1.0 in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.430 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.430 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of 1.0 in x 0.461 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.461 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.461 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.461 * [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 (- 1.0 (/ 1 x)) in x 0.462 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.468 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.493 * * * [progress]: simplifying candidates 0.495 * [simplify]: Simplifying using # : (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (- (log (- 1.0 x)) (log (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (expm1 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (* (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt 1) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 0.501 * * [simplify]: iteration 0 : 370 enodes (cost 779 ) 0.507 * * [simplify]: iteration 1 : 1128 enodes (cost 734 ) 0.530 * * [simplify]: iteration 2 : 5001 enodes (cost 719 ) 0.535 * [simplify]: Simplified to: (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0))) (- x 1.0) (- (+ 1.0 x)) (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (- 1.0 x) (- 1.0 x) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (fma 1.0 1.0 (fma x x (* 1.0 x))) (+ 1.0 x)) (* (+ 1.0 x) (+ 1.0 x)) (expm1 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ x 1.0)))) (exp (sqrt (/ (- 1.0 x) (+ x 1.0)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (fabs (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (fabs (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) 1/2 (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (fma (pow x 2) 2.0 (- 1.0 (* 2.0 x))) (- (/ 2.0 x) (- 1 (/ (- 2.0) (pow x 2)))) (- (/ 2.0 x) (- 1 (/ (- 2.0) (pow x 2)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (- (* 1.0 (/ x (sqrt 1.0))) (sqrt 1.0))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3)))) (/ 1.0 (* x (sqrt -1))))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3)))) (/ 1.0 (* x (sqrt -1))))) 0.536 * * * [progress]: adding candidates to table 0.782 * * [progress]: iteration 2 / 4 0.782 * * * [progress]: picking best candidate 0.787 * * * * [pick]: Picked # 0.787 * * * [progress]: localizing error 0.798 * * * [progress]: generating rewritten candidates 0.798 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.808 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.809 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 0.813 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 0.823 * * * [progress]: generating series expansions 0.824 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.824 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.824 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.824 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.824 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.824 * [taylor]: Taking taylor expansion of 1.0 in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of 1.0 in x 0.830 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.830 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.830 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.830 * [taylor]: Taking taylor expansion of 1.0 in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of 1.0 in x 0.856 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.856 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.856 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.856 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.856 * [taylor]: Taking taylor expansion of 1.0 in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of 1.0 in x 0.862 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.862 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.862 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.862 * [taylor]: Taking taylor expansion of 1.0 in x 0.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.888 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.888 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.894 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.895 * [taylor]: Taking taylor expansion of 1.0 in x 0.895 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.895 * [taylor]: Taking taylor expansion of 1.0 in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.920 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.920 * [approximate]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) in (x) around 0 0.920 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 0.920 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 0.920 * [approximate]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in (x) around 0 0.921 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 0.921 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 0.921 * [approximate]: Taking taylor expansion of (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in (x) around 0 0.921 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 0.921 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 0.922 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 0.922 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.922 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.922 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of 1.0 in x 0.927 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.927 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.937 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.937 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.939 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.939 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of 1.0 in x 0.946 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.946 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.946 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.946 * [taylor]: Taking taylor expansion of 1.0 in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.948 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.948 * [taylor]: Taking taylor expansion of 1.0 in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.957 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 0.957 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 x)) in (x) around 0 0.957 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 0.957 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.957 * [taylor]: Taking taylor expansion of 1.0 in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 0.959 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.959 * [taylor]: Taking taylor expansion of 1.0 in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.970 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.970 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.970 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.970 * [taylor]: Taking taylor expansion of 1.0 in x 0.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.971 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.971 * [taylor]: Taking taylor expansion of 1.0 in x 0.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.980 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.980 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.980 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [taylor]: Taking taylor expansion of 1.0 in x 0.982 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.982 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of 1.0 in x 0.990 * * * [progress]: simplifying candidates 0.992 * [simplify]: Simplifying using # : (expm1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (log1p (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (- (log (sqrt (- 1.0 x))) (log (sqrt (+ 1.0 x)))) (log (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (exp (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (* (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (* (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (+ 1.0 x)) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (- (sqrt (- 1.0 x))) (- (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1)) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1)) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) 1) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (cbrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt 1)) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt 1)) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 1) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) 1) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt 1) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt 1)) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt 1)) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) 1) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ (sqrt 1) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) 1) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt 1)) (/ (sqrt 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(+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (expm1 (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (log1p (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (log (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (exp (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (cbrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (cbrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))))) (cbrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (* (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (sqrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (sqrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) (/ 1 2) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (expm1 (sqrt (- 1.0 x))) (log1p (sqrt (- 1.0 x))) (log (sqrt (- 1.0 x))) (exp (sqrt (- 1.0 x))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (cbrt (sqrt (- 1.0 x))) (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt 1) (sqrt (- 1.0 x)) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt 1) (sqrt (- 1.0 x)) (sqrt (- (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1/2 (/ x (sqrt 1.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.999 * * [simplify]: iteration 0 : 374 enodes (cost 1306 ) 1.005 * * [simplify]: iteration 1 : 1146 enodes (cost 1231 ) 1.028 * * [simplify]: iteration 2 : 5002 enodes (cost 1169 ) 1.034 * [simplify]: Simplified to: (expm1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (log1p (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (log (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (log (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (exp (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (pow (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) 3) (* (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (pow (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) 3) (/ (- 1.0 x) (+ x 1.0)) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (- (sqrt (- 1.0 x))) (- (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (/ (fabs (cbrt (+ 1.0 x))) (cbrt (sqrt (- 1.0 x))))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (/ (fabs (cbrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (cbrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (fabs (cbrt (- 1.0 x))) (* (fabs (cbrt (+ 1.0 x))) 1)) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (fabs (cbrt (- 1.0 x))) (* (sqrt (sqrt (+ 1.0 x))) 1)) (/ (sqrt (cbrt (- 1.0 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1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (fabs (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (fabs (cbrt (+ 1.0 x)))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (+ (sqrt 1.0) (sqrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (sqrt (+ (sqrt 1.0) (sqrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (+ (sqrt 1.0) (sqrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (fabs (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (fabs (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (fabs (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (fabs (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (sqrt (- 1.0 x)) (/ (sqrt (+ 1.0 x)) (cbrt (sqrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (cbrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (- (sqrt 1.0) (sqrt x)))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (- 1.0 x)) (hypot (pow x 3/2) (pow 1.0 3/2))) (/ (sqrt (- 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x)))) (* (sqrt (+ 1.0 x)) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (+ 1.0 x) (expm1 (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (log1p (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (log (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (exp (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (cbrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (cbrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))))) (cbrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 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(- 1.0 x)) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (- (sqrt 1.0) (sqrt x))) 1 (sqrt (- 1.0 x)) (sqrt (- (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x)) 1/2 (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (- (* 1.0 (/ x (sqrt 1.0))) (sqrt 1.0))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3)))) (/ 1.0 (* x (sqrt -1))))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3)))) (/ 1.0 (* x (sqrt -1))))) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1/2 (/ x (sqrt 1.0))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) 1.035 * * * [progress]: adding candidates to table 1.376 * * [progress]: iteration 3 / 4 1.376 * * * [progress]: picking best candidate 1.379 * * * * [pick]: Picked # 1.379 * * * [progress]: localizing error 1.393 * * * [progress]: generating rewritten candidates 1.393 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 1) 1.404 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.422 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 1.440 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.456 * * * [progress]: generating series expansions 1.456 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 1) 1.456 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.456 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.456 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.456 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.456 * [taylor]: Taking taylor expansion of 1.0 in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.457 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.457 * [taylor]: Taking taylor expansion of 1.0 in x 1.462 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.462 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.462 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.462 * [taylor]: Taking taylor expansion of 1.0 in x 1.462 * [taylor]: Taking taylor expansion of x in x 1.462 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.462 * [taylor]: Taking taylor expansion of x in x 1.462 * [taylor]: Taking taylor expansion of 1.0 in x 1.485 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.485 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.485 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.485 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.485 * [taylor]: Taking taylor expansion of 1.0 in x 1.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.485 * [taylor]: Taking taylor expansion of x in x 1.485 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.485 * [taylor]: Taking taylor expansion of x in x 1.485 * [taylor]: Taking taylor expansion of 1.0 in x 1.491 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.491 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.491 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.491 * [taylor]: Taking taylor expansion of 1.0 in x 1.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.491 * [taylor]: Taking taylor expansion of x in x 1.492 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.492 * [taylor]: Taking taylor expansion of 1.0 in x 1.521 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.521 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.522 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.522 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.522 * [taylor]: Taking taylor expansion of x in x 1.522 * [taylor]: Taking taylor expansion of 1.0 in x 1.522 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.522 * [taylor]: Taking taylor expansion of 1.0 in x 1.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.522 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.528 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.528 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of 1.0 in x 1.528 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.528 * [taylor]: Taking taylor expansion of 1.0 in x 1.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.529 * [taylor]: Taking taylor expansion of x in x 1.553 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.554 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.554 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.554 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.554 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.554 * [taylor]: Taking taylor expansion of 1.0 in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.554 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.554 * [taylor]: Taking taylor expansion of 1.0 in x 1.559 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.559 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.559 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.559 * [taylor]: Taking taylor expansion of 1.0 in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of 1.0 in x 1.581 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.581 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.581 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.581 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.581 * [taylor]: Taking taylor expansion of 1.0 in x 1.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.582 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.582 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.582 * [taylor]: Taking taylor expansion of 1.0 in x 1.588 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.588 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.588 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.588 * [taylor]: Taking taylor expansion of 1.0 in x 1.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.588 * [taylor]: Taking taylor expansion of x in x 1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.588 * [taylor]: Taking taylor expansion of x in x 1.588 * [taylor]: Taking taylor expansion of 1.0 in x 1.616 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.616 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.616 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.616 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.616 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.616 * [taylor]: Taking taylor expansion of x in x 1.616 * [taylor]: Taking taylor expansion of 1.0 in x 1.616 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.616 * [taylor]: Taking taylor expansion of 1.0 in x 1.616 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.616 * [taylor]: Taking taylor expansion of x in x 1.622 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.622 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.622 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.623 * [taylor]: Taking taylor expansion of 1.0 in x 1.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.623 * [taylor]: Taking taylor expansion of 1.0 in x 1.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.648 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 1.648 * [approximate]: Taking taylor expansion of (exp (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 1.648 * [taylor]: Taking taylor expansion of (exp (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.648 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.648 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.648 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.648 * [taylor]: Taking taylor expansion of 1.0 in x 1.648 * [taylor]: Taking taylor expansion of x in x 1.648 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.648 * [taylor]: Taking taylor expansion of x in x 1.648 * [taylor]: Taking taylor expansion of 1.0 in x 1.654 * [taylor]: Taking taylor expansion of (exp (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.654 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.654 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.654 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.654 * [taylor]: Taking taylor expansion of 1.0 in x 1.654 * [taylor]: Taking taylor expansion of x in x 1.654 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.654 * [taylor]: Taking taylor expansion of x in x 1.654 * [taylor]: Taking taylor expansion of 1.0 in x 1.709 * [approximate]: Taking taylor expansion of (exp (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 1.709 * [taylor]: Taking taylor expansion of (exp (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.709 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.709 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.709 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.709 * [taylor]: Taking taylor expansion of 1.0 in x 1.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.709 * [taylor]: Taking taylor expansion of x in x 1.710 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.710 * [taylor]: Taking taylor expansion of x in x 1.710 * [taylor]: Taking taylor expansion of 1.0 in x 1.716 * [taylor]: Taking taylor expansion of (exp (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.716 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.716 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.716 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.716 * [taylor]: Taking taylor expansion of 1.0 in x 1.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.716 * [taylor]: Taking taylor expansion of x in x 1.717 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.717 * [taylor]: Taking taylor expansion of 1.0 in x 1.774 * [approximate]: Taking taylor expansion of (exp (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 1.774 * [taylor]: Taking taylor expansion of (exp (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.774 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.774 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.774 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.774 * [taylor]: Taking taylor expansion of x in x 1.775 * [taylor]: Taking taylor expansion of 1.0 in x 1.775 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.775 * [taylor]: Taking taylor expansion of 1.0 in x 1.775 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.775 * [taylor]: Taking taylor expansion of x in x 1.781 * [taylor]: Taking taylor expansion of (exp (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.781 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.781 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.781 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.781 * [taylor]: Taking taylor expansion of x in x 1.782 * [taylor]: Taking taylor expansion of 1.0 in x 1.782 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.782 * [taylor]: Taking taylor expansion of 1.0 in x 1.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.782 * [taylor]: Taking taylor expansion of x in x 1.837 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.837 * [approximate]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) in (x) around 0 1.837 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 1.837 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 1.838 * [approximate]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in (x) around 0 1.838 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 1.838 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 1.838 * [approximate]: Taking taylor expansion of (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in (x) around 0 1.839 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 1.839 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 1.839 * * * [progress]: simplifying candidates 1.844 * [simplify]: Simplifying using # : (expm1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (log1p (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (- (log (sqrt (- 1.0 x))) (log (sqrt (+ 1.0 x)))) (log (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (exp (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (* (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (* (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (+ 1.0 x)) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (- (sqrt (- 1.0 x))) (- (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1)) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1)) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) 1) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (cbrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt 1)) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt 1)) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 1) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) 1) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt 1) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt 1)) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt 1)) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) 1) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ (sqrt 1) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) 1) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt 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1.0 x)))) (sqrt (sqrt (+ 1.0 x))))) (exp (fabs (cbrt (- 1.0 x)))) (exp (fabs (cbrt (- 1.0 x)))) (exp (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x))))) (exp (fabs (cbrt (- 1.0 x)))) (exp (/ (sqrt (sqrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))))) (exp (/ (sqrt (sqrt (- 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (exp (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (exp (sqrt (sqrt (- 1.0 x)))) (exp (sqrt (sqrt (- 1.0 x)))) (exp (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (exp (sqrt (sqrt (- 1.0 x)))) (exp (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))))) (exp (/ 1 (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (exp (/ 1 (sqrt (sqrt (+ 1.0 x))))) E E (exp (/ 1 (sqrt (sqrt (+ 1.0 x))))) E (exp (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))))) (exp (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (exp (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt 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x)))))))) (pow (atan (fabs (log (exp (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))))) 3) (sqrt (atan (fabs (log (exp (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))))) (sqrt (atan (fabs (log (exp (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))))) (- (+ (sqrt 1.0) (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0)))) (* 1.0 (/ x (sqrt 1.0)))) (- (+ (/ 1.0 (* x (sqrt -1))) (sqrt -1)) (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3))))) (- (+ (/ 1.0 (* x (sqrt -1))) (sqrt -1)) (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3))))) (- (+ (sqrt 1.0) (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0)))) (* 1.0 (/ x (sqrt 1.0)))) (- (+ (/ 1.0 (* x (sqrt -1))) (sqrt -1)) (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3))))) (- (+ (/ 1.0 (* x (sqrt -1))) (sqrt -1)) (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3))))) (+ (* (/ (* (exp (sqrt 1.0)) (pow x 2)) (sqrt 1.0)) (+ (/ 0.5 (sqrt 1.0)) 1.0)) (- (exp (sqrt 1.0)) (fma 1.0 (/ (* (exp (sqrt 1.0)) x) (sqrt 1.0)) (* 0.5 (/ (* (exp (sqrt 1.0)) (pow x 2)) (pow (sqrt 1.0) 3)))))) (- (fma 0.5 (/ (/ (exp (sqrt -1)) -1) (pow x 2)) (* 1.0 (/ (exp (sqrt -1)) (* x (sqrt -1))))) (- (* (/ (exp (sqrt -1)) (pow x 2)) (+ (/ 0.5 (pow (sqrt -1) 3)) (/ 1.0 (sqrt -1)))) (exp (sqrt -1)))) (- (fma 0.5 (/ (/ (exp (sqrt -1)) -1) (pow x 2)) (* 1.0 (/ (exp (sqrt -1)) (* x (sqrt -1))))) (- (* (/ (exp (sqrt -1)) (pow x 2)) (+ (/ 0.5 (pow (sqrt -1) 3)) (/ 1.0 (sqrt -1)))) (exp (sqrt -1)))) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1.899 * * * [progress]: adding candidates to table 2.465 * [progress]: [Phase 3 of 3] Extracting. 2.469 * [simplify]: Simplifying using # : (* 2.0 (atan (fabs (log (exp (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))))) 2.470 * * [simplify]: iteration 0 : 15 enodes (cost 10 ) 2.470 * * [simplify]: iteration 1 : 15 enodes (cost 10 ) 2.470 * [simplify]: Simplified to: (* 2.0 (atan (fabs (log (exp (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))))) 3.329 * [regime-testing]: End program error score: 0.01595011407684975