0.868 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.274 * * * [progress]: [2/2] Setting up program. 0.277 * [progress]: [Phase 2 of 3] Improving. 0.280 * [simplify]: Simplifying using # : (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.283 * * [simplify]: iteration 0 : 9 enodes (cost 11 ) 0.287 * * [simplify]: iteration 1 : 16 enodes (cost 11 ) 0.289 * * [simplify]: iteration 2 : 19 enodes (cost 11 ) 0.291 * * [simplify]: iteration 3 : 21 enodes (cost 11 ) 0.293 * * [simplify]: iteration done : 21 enodes (cost 11 ) 0.293 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.294 * * [progress]: iteration 1 / 4 0.294 * * * [progress]: picking best candidate 0.297 * * * * [pick]: Picked # 0.297 * * * [progress]: localizing error 0.306 * * * [progress]: generating rewritten candidates 0.307 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 1) 0.320 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.323 * * * [progress]: generating series expansions 0.323 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 1) 0.328 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.329 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.329 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.331 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.331 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.331 * [taylor]: Taking taylor expansion of 1.0 in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.340 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.340 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.342 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.354 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.377 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.377 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.377 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.378 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.379 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.379 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.379 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.379 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.379 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.379 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.380 * * * [progress]: simplifying candidates 0.381 * [simplify]: Simplifying using # : (- (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)) (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))))) (- (+ (* 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)))) 0.384 * * [simplify]: iteration 0 : 102 enodes (cost 765 ) 0.401 * * [simplify]: iteration 1 : 230 enodes (cost 738 ) 0.455 * * [simplify]: iteration 2 : 571 enodes (cost 684 ) 0.661 * * [simplify]: iteration 3 : 2276 enodes (cost 682 ) 1.520 * * [simplify]: iteration done : 5001 enodes (cost 681 ) 1.521 * [simplify]: Simplified to: (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) (+ x 1.0)) 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) (+ x 1.0)) 3) (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0))) (- x 1.0) (- (+ 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))) (/ (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) (+ x 1.0)) 1 (/ (- 1.0 x) (+ x 1.0)) (/ (+ (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) (+ x 1.0)) 1 (/ (- 1.0 x) (+ x 1.0)) (/ 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))) (* (+ (* x (+ 1.0 x)) (* 1.0 1.0)) (+ x 1.0)) (* (+ 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))))) (+ 1.0 (* 2.0 (- (pow x 2) x))) (- (- (/ 2.0 x) 1) (/ 2.0 (* x x))) (- (- (/ 2.0 x) 1) (/ 2.0 (* x x))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1.521 * * * [progress]: adding candidates to table 1.663 * * [progress]: iteration 2 / 4 1.664 * * * [progress]: picking best candidate 1.668 * * * * [pick]: Picked # 1.668 * * * [progress]: localizing error 1.678 * * * [progress]: generating rewritten candidates 1.678 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 1.690 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 1.694 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2) 1.700 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.704 * * * [progress]: generating series expansions 1.704 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 1.705 * [approximate]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in (x) around 0 1.705 * [taylor]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in x 1.705 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.705 * [taylor]: Taking taylor expansion of 1.0 in x 1.705 * [taylor]: Taking taylor expansion of x in x 1.705 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 1.705 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.705 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.705 * [taylor]: Taking taylor expansion of x in x 1.705 * [taylor]: Taking taylor expansion of 1.0 in x 1.709 * [taylor]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in x 1.709 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.709 * [taylor]: Taking taylor expansion of 1.0 in x 1.709 * [taylor]: Taking taylor expansion of x in x 1.709 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 1.709 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.709 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.709 * [taylor]: Taking taylor expansion of x in x 1.709 * [taylor]: Taking taylor expansion of 1.0 in x 1.744 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in (x) around 0 1.744 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in x 1.744 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 1.744 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.744 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.744 * [taylor]: Taking taylor expansion of x in x 1.744 * [taylor]: Taking taylor expansion of 1.0 in x 1.746 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.746 * [taylor]: Taking taylor expansion of 1.0 in x 1.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.746 * [taylor]: Taking taylor expansion of x in x 1.746 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in x 1.746 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 1.746 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.746 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.746 * [taylor]: Taking taylor expansion of x in x 1.746 * [taylor]: Taking taylor expansion of 1.0 in x 1.748 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.748 * [taylor]: Taking taylor expansion of 1.0 in x 1.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.769 * [approximate]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in (x) around 0 1.769 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 1.769 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.769 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.769 * [taylor]: Taking taylor expansion of x in x 1.769 * [taylor]: Taking taylor expansion of 1.0 in x 1.769 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.769 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.769 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.769 * [taylor]: Taking taylor expansion of 1.0 in x 1.769 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.769 * [taylor]: Taking taylor expansion of x in x 1.771 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 1.771 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.771 * [taylor]: Taking taylor expansion of x in x 1.771 * [taylor]: Taking taylor expansion of 1.0 in x 1.771 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.771 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.771 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.771 * [taylor]: Taking taylor expansion of 1.0 in x 1.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.771 * [taylor]: Taking taylor expansion of x in x 1.796 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 1.796 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 1.796 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.796 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.796 * [taylor]: Taking taylor expansion of x in x 1.796 * [taylor]: Taking taylor expansion of 1.0 in x 1.798 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.798 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.798 * [taylor]: Taking taylor expansion of x in x 1.798 * [taylor]: Taking taylor expansion of 1.0 in x 1.807 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 1.807 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.807 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.807 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.807 * [taylor]: Taking taylor expansion of x in x 1.808 * [taylor]: Taking taylor expansion of 1.0 in x 1.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.809 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.809 * [taylor]: Taking taylor expansion of x in x 1.809 * [taylor]: Taking taylor expansion of 1.0 in x 1.816 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.817 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.817 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.817 * [taylor]: Taking taylor expansion of 1.0 in x 1.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.817 * [taylor]: Taking taylor expansion of x in x 1.818 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.818 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.818 * [taylor]: Taking taylor expansion of 1.0 in x 1.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.818 * [taylor]: Taking taylor expansion of x in x 1.826 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2) 1.826 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 1.826 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.826 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.826 * [taylor]: Taking taylor expansion of x in x 1.826 * [taylor]: Taking taylor expansion of 1.0 in x 1.828 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.828 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.828 * [taylor]: Taking taylor expansion of x in x 1.828 * [taylor]: Taking taylor expansion of 1.0 in x 1.837 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 1.838 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.838 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.838 * [taylor]: Taking taylor expansion of x in x 1.838 * [taylor]: Taking taylor expansion of 1.0 in x 1.839 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.839 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.839 * [taylor]: Taking taylor expansion of x in x 1.839 * [taylor]: Taking taylor expansion of 1.0 in x 1.847 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.847 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.847 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.847 * [taylor]: Taking taylor expansion of 1.0 in x 1.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.847 * [taylor]: Taking taylor expansion of x in x 1.848 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.848 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.848 * [taylor]: Taking taylor expansion of 1.0 in x 1.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.849 * [taylor]: Taking taylor expansion of x in x 1.856 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.857 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 1.857 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.857 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.857 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 1.857 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.857 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.858 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 1.858 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.858 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.859 * * * [progress]: simplifying candidates 1.860 * [simplify]: Simplifying using # : (- (log (- 1.0 x)) (log (sqrt (+ 1.0 x)))) (log (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (exp (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (* (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x))))) (cbrt (/ (- 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 (+ 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))) (/ 1.0 (sqrt (+ 1.0 x))) (/ x (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (cbrt (- 1.0 x)) (sqrt (cbrt (+ 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)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt 1)) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt 1)) (/ (cbrt (- 1.0 x)) (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)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 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)) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 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 (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 1) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (sqrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (cbrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt 1)) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt 1)) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 1) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt 1)) (/ (- 1.0 x) (sqrt 1)) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) 1) (/ (sqrt (+ 1.0 x)) (cbrt (- 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) (sqrt x))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)) (/ (- 1.0 x) (sqrt (+ (pow 1.0 3) (pow x 3)))) (/ (- 1.0 x) (sqrt (- (* 1.0 1.0) (* x x)))) (* (sqrt (+ 1.0 x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (sqrt (+ 1.0 x)) (+ 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))) (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))) (log (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (exp (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (* (cbrt (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))))))) (cbrt (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (* (* (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))))) (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (sqrt (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (sqrt (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (- (+ (* 1.0 (sqrt 1.0)) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* x (sqrt 1.0)) (+ (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ 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))))) (- (+ (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) (* 1/2 (/ 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))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1.870 * * [simplify]: iteration 0 : 152 enodes (cost 1615 ) 1.894 * * [simplify]: iteration 1 : 339 enodes (cost 1420 ) 1.966 * * [simplify]: iteration 2 : 828 enodes (cost 1346 ) 2.294 * * [simplify]: iteration 3 : 3475 enodes (cost 1338 ) 3.208 * * [simplify]: iteration done : 5000 enodes (cost 1338 ) 3.209 * [simplify]: Simplified to: (log (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (log (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (exp (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (pow (/ (- 1.0 x) (sqrt (+ 1.0 x))) 3) (* (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x))))) (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (pow (/ (- 1.0 x) (sqrt (+ 1.0 x))) 3) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (- x 1.0) (- (sqrt (+ 1.0 x))) (/ 1.0 (sqrt (+ 1.0 x))) (/ x (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (fabs (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (sqrt (cbrt (+ 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)))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (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)))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 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)) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (fabs (cbrt (+ 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 (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 (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))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (fabs (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (sqrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) (fabs (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (cbrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (fabs (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (fabs (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (- 1.0 x) (- 1.0 x) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (- 1.0 x) (/ (sqrt (+ 1.0 x)) (cbrt (- 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) (sqrt x))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)) (/ (- 1.0 x) (sqrt (+ (pow 1.0 3) (pow x 3)))) (/ (- 1.0 x) (sqrt (- (* 1.0 1.0) (* x x)))) (* (sqrt (+ 1.0 x)) (+ (* x (+ 1.0 x)) (* 1.0 1.0))) (pow (sqrt (+ 1.0 x)) 3) (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))) (pow (sqrt (+ 1.0 x)) 3) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (* x (- x 1.0)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (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))) (pow (sqrt (+ 1.0 x)) 3) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (* x (- x 1.0)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (log (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (exp (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (+ (* 1.0 (/ (pow x 2) (sqrt 1.0))) (- (* (sqrt 1.0) (- 1.0 x)) (+ (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ x (sqrt 1.0)))))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3.209 * * * [progress]: adding candidates to table 3.466 * * [progress]: iteration 3 / 4 3.466 * * * [progress]: picking best candidate 3.469 * * * * [pick]: Picked # 3.469 * * * [progress]: localizing error 3.485 * * * [progress]: generating rewritten candidates 3.485 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 3.497 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 3.512 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2) 3.516 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 2) 3.528 * * * [progress]: generating series expansions 3.528 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 3.529 * [approximate]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in (x) around 0 3.529 * [taylor]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in x 3.529 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.529 * [taylor]: Taking taylor expansion of 1.0 in x 3.529 * [taylor]: Taking taylor expansion of x in x 3.529 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 3.529 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 3.529 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.529 * [taylor]: Taking taylor expansion of x in x 3.529 * [taylor]: Taking taylor expansion of 1.0 in x 3.533 * [taylor]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in x 3.533 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.533 * [taylor]: Taking taylor expansion of 1.0 in x 3.533 * [taylor]: Taking taylor expansion of x in x 3.533 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 3.533 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 3.533 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.533 * [taylor]: Taking taylor expansion of x in x 3.533 * [taylor]: Taking taylor expansion of 1.0 in x 3.566 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in (x) around 0 3.566 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in x 3.566 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 3.566 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 3.566 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.566 * [taylor]: Taking taylor expansion of x in x 3.566 * [taylor]: Taking taylor expansion of 1.0 in x 3.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.568 * [taylor]: Taking taylor expansion of 1.0 in x 3.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.568 * [taylor]: Taking taylor expansion of x in x 3.568 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in x 3.568 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 3.568 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 3.568 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.568 * [taylor]: Taking taylor expansion of x in x 3.568 * [taylor]: Taking taylor expansion of 1.0 in x 3.570 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.570 * [taylor]: Taking taylor expansion of 1.0 in x 3.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.570 * [taylor]: Taking taylor expansion of x in x 3.595 * [approximate]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in (x) around 0 3.595 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 3.595 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.595 * [taylor]: Taking taylor expansion of x in x 3.595 * [taylor]: Taking taylor expansion of 1.0 in x 3.595 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 3.595 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 3.595 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.595 * [taylor]: Taking taylor expansion of 1.0 in x 3.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.595 * [taylor]: Taking taylor expansion of x in x 3.597 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 3.597 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.597 * [taylor]: Taking taylor expansion of x in x 3.597 * [taylor]: Taking taylor expansion of 1.0 in x 3.597 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 3.597 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 3.597 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.597 * [taylor]: Taking taylor expansion of 1.0 in x 3.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.597 * [taylor]: Taking taylor expansion of x in x 3.618 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 3.619 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) (- 1.0 x))) in (x) around 0 3.619 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) (- 1.0 x))) in x 3.619 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) (- 1.0 x)) in x 3.619 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 3.619 * [taylor]: Taking taylor expansion of 1.0 in x 3.619 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.619 * [taylor]: Taking taylor expansion of x in x 3.619 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.619 * [taylor]: Taking taylor expansion of 1.0 in x 3.619 * [taylor]: Taking taylor expansion of x in x 3.624 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) (- 1.0 x))) in x 3.624 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) (- 1.0 x)) in x 3.624 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 3.624 * [taylor]: Taking taylor expansion of 1.0 in x 3.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.624 * [taylor]: Taking taylor expansion of x in x 3.624 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.624 * [taylor]: Taking taylor expansion of 1.0 in x 3.624 * [taylor]: Taking taylor expansion of x in x 3.639 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 2))) (- 1.0 (/ 1 x)))) in (x) around 0 3.639 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 2))) (- 1.0 (/ 1 x)))) in x 3.639 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (- 1.0 (/ 1 x))) in x 3.639 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.639 * [taylor]: Taking taylor expansion of 1.0 in x 3.639 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.639 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.639 * [taylor]: Taking taylor expansion of x in x 3.640 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.640 * [taylor]: Taking taylor expansion of 1.0 in x 3.640 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.640 * [taylor]: Taking taylor expansion of x in x 3.642 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 2))) (- 1.0 (/ 1 x)))) in x 3.642 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (- 1.0 (/ 1 x))) in x 3.642 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.642 * [taylor]: Taking taylor expansion of 1.0 in x 3.642 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.642 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.642 * [taylor]: Taking taylor expansion of x in x 3.643 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.643 * [taylor]: Taking taylor expansion of 1.0 in x 3.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.643 * [taylor]: Taking taylor expansion of x in x 3.658 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 2))) (+ (/ 1 x) 1.0))) in (x) around 0 3.658 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 2))) (+ (/ 1 x) 1.0))) in x 3.658 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (+ (/ 1 x) 1.0)) in x 3.658 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.658 * [taylor]: Taking taylor expansion of 1.0 in x 3.658 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.658 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.659 * [taylor]: Taking taylor expansion of x in x 3.659 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.659 * [taylor]: Taking taylor expansion of x in x 3.664 * [taylor]: Taking taylor expansion of 1.0 in x 3.666 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 2))) (+ (/ 1 x) 1.0))) in x 3.666 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (+ (/ 1 x) 1.0)) in x 3.666 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.666 * [taylor]: Taking taylor expansion of 1.0 in x 3.666 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.666 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.666 * [taylor]: Taking taylor expansion of x in x 3.667 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.667 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.667 * [taylor]: Taking taylor expansion of x in x 3.667 * [taylor]: Taking taylor expansion of 1.0 in x 3.681 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2) 3.681 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 3.681 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.681 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.681 * [taylor]: Taking taylor expansion of x in x 3.681 * [taylor]: Taking taylor expansion of 1.0 in x 3.683 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.683 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.683 * [taylor]: Taking taylor expansion of x in x 3.683 * [taylor]: Taking taylor expansion of 1.0 in x 3.692 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 3.692 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.692 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.692 * [taylor]: Taking taylor expansion of x in x 3.692 * [taylor]: Taking taylor expansion of 1.0 in x 3.693 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.693 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.694 * [taylor]: Taking taylor expansion of x in x 3.694 * [taylor]: Taking taylor expansion of 1.0 in x 3.701 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 3.701 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.701 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.701 * [taylor]: Taking taylor expansion of 1.0 in x 3.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.701 * [taylor]: Taking taylor expansion of x in x 3.702 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.702 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.702 * [taylor]: Taking taylor expansion of 1.0 in x 3.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.702 * [taylor]: Taking taylor expansion of x in x 3.710 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 2) 3.711 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 x)) in (x) around 0 3.711 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 3.711 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.711 * [taylor]: Taking taylor expansion of 1.0 in x 3.711 * [taylor]: Taking taylor expansion of x in x 3.713 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 3.713 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.713 * [taylor]: Taking taylor expansion of 1.0 in x 3.713 * [taylor]: Taking taylor expansion of x in x 3.722 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 3.722 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.722 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.722 * [taylor]: Taking taylor expansion of 1.0 in x 3.722 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.722 * [taylor]: Taking taylor expansion of x in x 3.724 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.724 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.724 * [taylor]: Taking taylor expansion of 1.0 in x 3.724 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.724 * [taylor]: Taking taylor expansion of x in x 3.732 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 3.732 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.732 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.732 * [taylor]: Taking taylor expansion of x in x 3.732 * [taylor]: Taking taylor expansion of 1.0 in x 3.734 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.734 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.734 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.734 * [taylor]: Taking taylor expansion of x in x 3.734 * [taylor]: Taking taylor expansion of 1.0 in x 3.741 * * * [progress]: simplifying candidates 3.749 * [simplify]: Simplifying using # : (- (log (- 1.0 x)) (log (sqrt (+ 1.0 x)))) (log (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (exp (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (* (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x))))) (cbrt (/ (- 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 (+ 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))) (/ 1.0 (sqrt (+ 1.0 x))) (/ x (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (cbrt (- 1.0 x)) (sqrt (cbrt (+ 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)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt 1)) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt 1)) (/ (cbrt (- 1.0 x)) (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)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 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)) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 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 (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 1) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (sqrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (cbrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt 1)) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt 1)) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 1) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt 1)) (/ (- 1.0 x) (sqrt 1)) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) 1) (/ (sqrt (+ 1.0 x)) (cbrt (- 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) (sqrt x))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)) (/ (- 1.0 x) (sqrt (+ (pow 1.0 3) (pow x 3)))) (/ (- 1.0 x) (sqrt (- (* 1.0 1.0) (* x x)))) (* (sqrt (+ 1.0 x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (sqrt (+ 1.0 x)) (+ 1.0 x)) (- (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- 1.0 x)))) (log (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)))) (exp (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)))) (/ (* (* (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (- (* 1.0 1.0) (* x x)))) (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x)))) (* (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x))))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)))) (* (* (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)))) (/ (- (* 1.0 1.0) (* x x)) (- 1.0 x)) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)))) (- (sqrt (- (* 1.0 1.0) (* x x)))) (- (sqrt (- 1.0 x))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- 1.0 x)))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (cbrt (- 1.0 x)))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt (sqrt (- 1.0 x)))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- 1.0 x)))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt 1)) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt (+ (sqrt 1.0) (sqrt x)))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (- (sqrt 1.0) (sqrt x)))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt 1)) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt (sqrt (- 1.0 x)))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- 1.0 x)))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) 1) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- 1.0 x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (cbrt (- 1.0 x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (sqrt 1)) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (sqrt (+ (sqrt 1.0) (sqrt x)))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (- (sqrt 1.0) (sqrt x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (sqrt 1)) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) 1) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 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(- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1/2 (/ x (sqrt 1.0))))) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) 4.319 * * * [progress]: adding candidates to table 4.838 * [progress]: [Phase 3 of 3] Extracting. 4.842 * [simplify]: Simplifying using # : (* 2.0 (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x))))))) 4.842 * * [simplify]: iteration 0 : 17 enodes (cost 26 ) 4.843 * * [simplify]: iteration 1 : 19 enodes (cost 26 ) 4.843 * * [simplify]: iteration done : 19 enodes (cost 26 ) 4.843 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x))))))) 5.729 * [regime-testing]: End program error score: 0.017252156519564944