0.912 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.313 * * * [progress]: [2/2] Setting up program. 0.316 * [progress]: [Phase 2 of 3] Improving. 0.319 * [simplify]: Simplifying using # : (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.323 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 0.324 * * [simplify]: iteration 1 : 19 enodes (cost 6 ) 0.326 * * [simplify]: iteration 2 : 21 enodes (cost 6 ) 0.327 * * [simplify]: iteration 3 : 21 enodes (cost 6 ) 0.328 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.329 * * [progress]: iteration 1 / 4 0.329 * * * [progress]: picking best candidate 0.331 * * * * [pick]: Picked # 0.331 * * * [progress]: localizing error 0.342 * * * [progress]: generating rewritten candidates 0.342 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.352 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1) 0.360 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.366 * * * [progress]: generating series expansions 0.366 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.370 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.371 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.371 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.371 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.371 * [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 (+ x 1.0) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.377 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.377 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.377 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of 1.0 in x 0.410 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.410 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.410 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.410 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.410 * [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 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of 1.0 in x 0.417 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.417 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.417 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.417 * [taylor]: Taking taylor expansion of 1.0 in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.442 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.442 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.442 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.448 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.449 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.473 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1) 0.473 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.473 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.473 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.473 * [taylor]: Taking taylor expansion of 1.0 in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.474 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.486 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.486 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.486 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.486 * [taylor]: Taking taylor expansion of 1.0 in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.488 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.488 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.498 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.499 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of 1.0 in x 0.499 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.499 * [taylor]: Taking taylor expansion of 1.0 in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.511 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.511 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.511 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.512 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.512 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.512 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.513 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.513 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.513 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.513 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.514 * * * [progress]: simplifying candidates 0.516 * [simplify]: Simplifying using # : (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)))) (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))))) (- (+ (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)))))) (- (+ (* 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)))) 0.521 * * [simplify]: iteration 0 : 370 enodes (cost 779 ) 0.527 * * [simplify]: iteration 1 : 1128 enodes (cost 734 ) 0.549 * * [simplify]: iteration 2 : 5001 enodes (cost 719 ) 0.554 * [simplify]: Simplified to: (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)))) (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))))) (- (* (/ (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))))) (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)))) 0.554 * * * [progress]: adding candidates to table 0.789 * * [progress]: iteration 2 / 4 0.789 * * * [progress]: picking best candidate 0.791 * * * * [pick]: Picked # 0.791 * * * [progress]: localizing error 0.803 * * * [progress]: generating rewritten candidates 0.803 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.880 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.902 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 0.914 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 0.963 * * * [progress]: generating series expansions 0.963 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.963 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.963 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.963 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.963 * [taylor]: Taking taylor expansion of 1.0 in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of 1.0 in x 0.965 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.965 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.965 * [taylor]: Taking taylor expansion of 1.0 in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of 1.0 in x 0.981 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.981 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.981 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.981 * [taylor]: Taking taylor expansion of 1.0 in x 0.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of 1.0 in x 0.983 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.983 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.983 * [taylor]: Taking taylor expansion of 1.0 in x 0.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of 1.0 in x 0.993 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.993 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.993 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.993 * [taylor]: Taking taylor expansion of 1.0 in x 0.993 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.993 * [taylor]: Taking taylor expansion of 1.0 in x 0.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.994 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of 1.0 in x 0.995 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.995 * [taylor]: Taking taylor expansion of 1.0 in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.995 * [taylor]: Taking taylor expansion of x in x 1.005 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.005 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.005 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.005 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.005 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.005 * [taylor]: Taking taylor expansion of 1.0 in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.005 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.005 * [taylor]: Taking taylor expansion of 1.0 in x 1.010 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.010 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.010 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.010 * [taylor]: Taking taylor expansion of 1.0 in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of 1.0 in x 1.032 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.032 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.032 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.032 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.032 * [taylor]: Taking taylor expansion of 1.0 in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of 1.0 in x 1.038 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.038 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.038 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.038 * [taylor]: Taking taylor expansion of 1.0 in x 1.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.038 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.038 * [taylor]: Taking taylor expansion of 1.0 in x 1.065 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.065 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.065 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.065 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.065 * [taylor]: Taking taylor expansion of 1.0 in x 1.065 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.065 * [taylor]: Taking taylor expansion of 1.0 in x 1.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.071 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.071 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of 1.0 in x 1.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.071 * [taylor]: Taking taylor expansion of 1.0 in x 1.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.095 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 1.095 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.095 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.095 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.095 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.095 * [taylor]: Taking taylor expansion of 1.0 in x 1.095 * [taylor]: Taking taylor expansion of x in x 1.095 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.095 * [taylor]: Taking taylor expansion of x in x 1.095 * [taylor]: Taking taylor expansion of 1.0 in x 1.100 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.100 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.100 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.100 * [taylor]: Taking taylor expansion of 1.0 in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.100 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.100 * [taylor]: Taking taylor expansion of 1.0 in x 1.121 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.121 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.121 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.121 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.121 * [taylor]: Taking taylor expansion of 1.0 in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of 1.0 in x 1.127 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.127 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.127 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.127 * [taylor]: Taking taylor expansion of 1.0 in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of 1.0 in x 1.154 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.154 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.154 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.154 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.154 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.160 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.160 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.160 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.160 * [taylor]: Taking taylor expansion of x in x 1.160 * [taylor]: Taking taylor expansion of 1.0 in x 1.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.160 * [taylor]: Taking taylor expansion of 1.0 in x 1.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.160 * [taylor]: Taking taylor expansion of x in x 1.184 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 1.184 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.184 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.184 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.184 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.184 * [taylor]: Taking taylor expansion of 1.0 in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.184 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.184 * [taylor]: Taking taylor expansion of 1.0 in x 1.189 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.189 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.189 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.189 * [taylor]: Taking taylor expansion of 1.0 in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.189 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.189 * [taylor]: Taking taylor expansion of 1.0 in x 1.211 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.211 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.211 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.211 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.211 * [taylor]: Taking taylor expansion of 1.0 in x 1.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.211 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.211 * [taylor]: Taking taylor expansion of 1.0 in x 1.217 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.217 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.217 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.217 * [taylor]: Taking taylor expansion of 1.0 in x 1.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.217 * [taylor]: Taking taylor expansion of x in x 1.217 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.217 * [taylor]: Taking taylor expansion of x in x 1.217 * [taylor]: Taking taylor expansion of 1.0 in x 1.242 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.242 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.242 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.242 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.242 * [taylor]: Taking taylor expansion of x in x 1.243 * [taylor]: Taking taylor expansion of 1.0 in x 1.243 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.243 * [taylor]: Taking taylor expansion of 1.0 in x 1.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.243 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.249 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.249 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.249 * [taylor]: Taking taylor expansion of 1.0 in x 1.249 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.249 * [taylor]: Taking taylor expansion of 1.0 in x 1.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.273 * * * [progress]: simplifying candidates 1.283 * [simplify]: Simplifying using # : (expm1 (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (log1p (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (+ 1 1) (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (+ 1 1) (+ (- (log (sqrt (- 1.0 x))) (log (sqrt (+ 1.0 x)))) (- (log (sqrt (- 1.0 x))) (log (sqrt (+ 1.0 x))))) (+ (- (log (sqrt (- 1.0 x))) (log (sqrt (+ 1.0 x)))) (log (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (+ (log (/ (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)))) (log (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (log (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (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)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (/ (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (* (* (sqrt 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(fma 1.0 (/ 1 (* (pow x 2) (sqrt -1))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))))) (fma 1.0 (/ 1 (* x (sqrt -1))) (- (sqrt -1) (fma 1.0 (/ 1 (* (pow x 2) (sqrt -1))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))))) 1.426 * * * [progress]: adding candidates to table 2.275 * [progress]: [Phase 3 of 3] Extracting. 2.278 * [simplify]: Simplifying using # : (* 2.0 (atan (sqrt (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))))) 2.279 * * [simplify]: iteration 0 : 14 enodes (cost 14 ) 2.279 * * [simplify]: iteration 1 : 14 enodes (cost 14 ) 2.279 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))))) 3.085 * [regime-testing]: End program error score: 0.01362670333791724