0.857 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.270 * * * [progress]: [2/2] Setting up program. 0.273 * [progress]: [Phase 2 of 3] Improving. 0.276 * [simplify]: Simplifying using # : (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.279 * * [simplify]: iteration 0 : 9 enodes (cost 11 ) 0.283 * * [simplify]: iteration 1 : 16 enodes (cost 11 ) 0.285 * * [simplify]: iteration 2 : 19 enodes (cost 11 ) 0.286 * * [simplify]: iteration 3 : 21 enodes (cost 11 ) 0.289 * * [simplify]: iteration done : 21 enodes (cost 11 ) 0.289 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.290 * * [progress]: iteration 1 / 4 0.290 * * * [progress]: picking best candidate 0.293 * * * * [pick]: Picked # 0.293 * * * [progress]: localizing error 0.303 * * * [progress]: generating rewritten candidates 0.303 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.315 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1) 0.326 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.331 * * * [progress]: generating series expansions 0.331 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.335 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.336 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.336 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.336 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of 1.0 in x 0.343 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.343 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.343 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.343 * [taylor]: Taking taylor expansion of 1.0 in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.376 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.376 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.376 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of 1.0 in x 0.382 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.382 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.382 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of 1.0 in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.406 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.406 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.406 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.412 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of 1.0 in x 0.412 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.412 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.440 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1) 0.440 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.440 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.440 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.441 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.449 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 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 0.450 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.451 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.460 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.460 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of 1.0 in x 0.461 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.461 * [taylor]: Taking taylor expansion of 1.0 in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.462 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.472 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.472 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.472 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.474 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.474 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.474 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.474 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.475 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.475 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.475 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.475 * * * [progress]: simplifying candidates 0.477 * [simplify]: Simplifying using # : (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)))) (- (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))))) (- (+ (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)))) 0.482 * * [simplify]: iteration 0 : 167 enodes (cost 1451 ) 0.514 * * [simplify]: iteration 1 : 352 enodes (cost 1376 ) 0.622 * * [simplify]: iteration 2 : 849 enodes (cost 1284 ) 0.917 * * [simplify]: iteration 3 : 2267 enodes (cost 1268 ) 1.401 * * [simplify]: iteration done : 5000 enodes (cost 1268 ) 1.402 * [simplify]: Simplified to: (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)))) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 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))) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (sqrt (- 1.0 x))) (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) (+ 1.0 x))) 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))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (+ (sqrt 1.0) (sqrt x))) (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) (+ 1.0 x))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) 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 (+ (* x (- x 1.0)) (* 1.0 1.0))) (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)))) (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) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- 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) (+ 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))) (* (+ 1.0 x) (+ (* 1.0 1.0) (* 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))))) (pow (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (+ (sqrt 1.0) (- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (* 1.0 (/ x (sqrt 1.0))))) (+ (/ 1.0 (* x (sqrt -1))) (- (sqrt -1) (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (- (sqrt -1))))))) (+ (/ 1.0 (* x (sqrt -1))) (- (sqrt -1) (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (- (sqrt -1))))))) (+ (* x (- (* 2.0 x) 2.0)) 1.0) (- (/ 2.0 x) (+ 1 (/ 2.0 (* x x)))) (- (/ 2.0 x) (+ 1 (/ 2.0 (* x 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)))) 1.403 * * * [progress]: adding candidates to table 1.605 * * [progress]: iteration 2 / 4 1.605 * * * [progress]: picking best candidate 1.607 * * * * [pick]: Picked # 1.607 * * * [progress]: localizing error 1.619 * * * [progress]: generating rewritten candidates 1.619 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 1.631 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 1.640 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.710 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 1.737 * * * [progress]: generating series expansions 1.737 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 1.737 * [approximate]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in (x) around 0 1.737 * [taylor]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in x 1.737 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.737 * [taylor]: Taking taylor expansion of 1.0 in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.737 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 1.737 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.737 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.737 * [taylor]: Taking taylor expansion of 1.0 in x 1.741 * [taylor]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in x 1.741 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.741 * [taylor]: Taking taylor expansion of 1.0 in x 1.741 * [taylor]: Taking taylor expansion of x in x 1.741 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 1.741 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.741 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.741 * [taylor]: Taking taylor expansion of x in x 1.741 * [taylor]: Taking taylor expansion of 1.0 in x 1.780 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in (x) around 0 1.780 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in x 1.780 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 1.780 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.780 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.780 * [taylor]: Taking taylor expansion of x in x 1.780 * [taylor]: Taking taylor expansion of 1.0 in x 1.782 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.782 * [taylor]: Taking taylor expansion of 1.0 in x 1.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.782 * [taylor]: Taking taylor expansion of x in x 1.782 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in x 1.782 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 1.782 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.782 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.782 * [taylor]: Taking taylor expansion of x in x 1.782 * [taylor]: Taking taylor expansion of 1.0 in x 1.784 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.784 * [taylor]: Taking taylor expansion of 1.0 in x 1.784 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.784 * [taylor]: Taking taylor expansion of x in x 1.804 * [approximate]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in (x) around 0 1.804 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 1.804 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.804 * [taylor]: Taking taylor expansion of x in x 1.805 * [taylor]: Taking taylor expansion of 1.0 in x 1.805 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.805 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.805 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.805 * [taylor]: Taking taylor expansion of 1.0 in x 1.805 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.805 * [taylor]: Taking taylor expansion of x in x 1.807 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) 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 1.807 * [taylor]: Taking taylor expansion of 1.0 in x 1.807 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.807 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.807 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.807 * [taylor]: Taking taylor expansion of 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 1.828 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 1.828 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in (x) around 0 1.828 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 1.828 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.828 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.829 * [taylor]: Taking taylor expansion of x in x 1.829 * [taylor]: Taking taylor expansion of 1.0 in x 1.832 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 1.832 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.832 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.832 * [taylor]: Taking taylor expansion of x in x 1.832 * [taylor]: Taking taylor expansion of 1.0 in x 1.854 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in (x) around 0 1.854 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 1.854 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.854 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.854 * [taylor]: Taking taylor expansion of x in x 1.854 * [taylor]: Taking taylor expansion of 1.0 in x 1.856 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 1.856 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.856 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.856 * [taylor]: Taking taylor expansion of x in x 1.856 * [taylor]: Taking taylor expansion of 1.0 in x 1.867 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in (x) around 0 1.867 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.867 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.867 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.867 * [taylor]: Taking taylor expansion of 1.0 in x 1.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.867 * [taylor]: Taking taylor expansion of x in x 1.870 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.870 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.870 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.870 * [taylor]: Taking taylor expansion of 1.0 in x 1.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.870 * [taylor]: Taking taylor expansion of x in x 1.882 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.882 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.882 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.882 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.882 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.882 * [taylor]: Taking taylor expansion of 1.0 in x 1.882 * [taylor]: Taking taylor expansion of x in x 1.882 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.882 * [taylor]: Taking taylor expansion of x in x 1.882 * [taylor]: Taking taylor expansion of 1.0 in x 1.887 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.887 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.887 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.887 * [taylor]: Taking taylor expansion of 1.0 in x 1.887 * [taylor]: Taking taylor expansion of x in x 1.887 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.887 * [taylor]: Taking taylor expansion of x in x 1.887 * [taylor]: Taking taylor expansion of 1.0 in x 1.908 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.908 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.908 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.908 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.908 * [taylor]: Taking taylor expansion of 1.0 in x 1.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.909 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.909 * [taylor]: Taking taylor expansion of x in x 1.909 * [taylor]: Taking taylor expansion of 1.0 in x 1.914 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.914 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.914 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.914 * [taylor]: Taking taylor expansion of 1.0 in x 1.914 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.914 * [taylor]: Taking taylor expansion of x in x 1.915 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.915 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.915 * [taylor]: Taking taylor expansion of x in x 1.915 * [taylor]: Taking taylor expansion of 1.0 in x 1.940 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.940 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.940 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.940 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.940 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.940 * [taylor]: Taking taylor expansion of x in x 1.941 * [taylor]: Taking taylor expansion of 1.0 in x 1.941 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.941 * [taylor]: Taking taylor expansion of 1.0 in x 1.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.941 * [taylor]: Taking taylor expansion of x in x 1.946 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.946 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.946 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.947 * [taylor]: Taking taylor expansion of x in x 1.947 * [taylor]: Taking taylor expansion of 1.0 in x 1.947 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.947 * [taylor]: Taking taylor expansion of 1.0 in x 1.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.947 * [taylor]: Taking taylor expansion of x in x 1.971 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.971 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 x)) (pow (/ 1 (+ x 1.0)) 1/4)) in (x) around 0 1.971 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 x)) (pow (/ 1 (+ x 1.0)) 1/4)) in x 1.971 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 1.971 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.971 * [taylor]: Taking taylor expansion of 1.0 in x 1.971 * [taylor]: Taking taylor expansion of x in x 1.973 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ x 1.0)) 1/4) in x 1.973 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ x 1.0))))) in x 1.973 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ x 1.0)))) in x 1.973 * [taylor]: Taking taylor expansion of 1/4 in x 1.973 * [taylor]: Taking taylor expansion of (log (/ 1 (+ x 1.0))) in x 1.973 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.973 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.973 * [taylor]: Taking taylor expansion of x in x 1.973 * [taylor]: Taking taylor expansion of 1.0 in x 1.975 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 x)) (pow (/ 1 (+ x 1.0)) 1/4)) in x 1.976 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 1.976 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.976 * [taylor]: Taking taylor expansion of 1.0 in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.978 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ x 1.0)) 1/4) in x 1.978 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ x 1.0))))) in x 1.978 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ x 1.0)))) in x 1.978 * [taylor]: Taking taylor expansion of 1/4 in x 1.978 * [taylor]: Taking taylor expansion of (log (/ 1 (+ x 1.0))) in x 1.978 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.978 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.978 * [taylor]: Taking taylor expansion of x in x 1.978 * [taylor]: Taking taylor expansion of 1.0 in x 2.080 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (+ (/ 1 x) 1.0)) 1/4) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 2.080 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (+ (/ 1 x) 1.0)) 1/4) (sqrt (- 1.0 (/ 1 x)))) in x 2.080 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (/ 1 x) 1.0)) 1/4) in x 2.080 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (/ 1 x) 1.0))))) in x 2.080 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (/ 1 x) 1.0)))) in x 2.080 * [taylor]: Taking taylor expansion of 1/4 in x 2.080 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (/ 1 x) 1.0))) in x 2.080 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 2.080 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.080 * [taylor]: Taking taylor expansion of x in x 2.080 * [taylor]: Taking taylor expansion of 1.0 in x 2.081 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.081 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.081 * [taylor]: Taking taylor expansion of 1.0 in x 2.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.081 * [taylor]: Taking taylor expansion of x in x 2.083 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (+ (/ 1 x) 1.0)) 1/4) (sqrt (- 1.0 (/ 1 x)))) in x 2.083 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (/ 1 x) 1.0)) 1/4) in x 2.083 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (/ 1 x) 1.0))))) in x 2.083 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (/ 1 x) 1.0)))) in x 2.083 * [taylor]: Taking taylor expansion of 1/4 in x 2.083 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (/ 1 x) 1.0))) in x 2.083 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 2.083 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.083 * [taylor]: Taking taylor expansion of x in x 2.084 * [taylor]: Taking taylor expansion of 1.0 in x 2.085 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.085 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.085 * [taylor]: Taking taylor expansion of 1.0 in x 2.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.085 * [taylor]: Taking taylor expansion of x in x 2.148 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 x) 1.0)) (pow (/ 1 (- 1.0 (/ 1 x))) 1/4)) in (x) around 0 2.148 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 x) 1.0)) (pow (/ 1 (- 1.0 (/ 1 x))) 1/4)) in x 2.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 2.148 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.148 * [taylor]: Taking taylor expansion of x in x 2.148 * [taylor]: Taking taylor expansion of 1.0 in x 2.149 * [taylor]: Taking taylor expansion of (pow (/ 1 (- 1.0 (/ 1 x))) 1/4) in x 2.149 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (- 1.0 (/ 1 x)))))) in x 2.150 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (- 1.0 (/ 1 x))))) in x 2.150 * [taylor]: Taking taylor expansion of 1/4 in x 2.150 * [taylor]: Taking taylor expansion of (log (/ 1 (- 1.0 (/ 1 x)))) in x 2.150 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 2.150 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.150 * [taylor]: Taking taylor expansion of 1.0 in x 2.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.150 * [taylor]: Taking taylor expansion of x in x 2.152 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 x) 1.0)) (pow (/ 1 (- 1.0 (/ 1 x))) 1/4)) in x 2.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 2.152 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.152 * [taylor]: Taking taylor expansion of x in x 2.152 * [taylor]: Taking taylor expansion of 1.0 in x 2.154 * [taylor]: Taking taylor expansion of (pow (/ 1 (- 1.0 (/ 1 x))) 1/4) in x 2.154 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (- 1.0 (/ 1 x)))))) in x 2.154 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (- 1.0 (/ 1 x))))) in x 2.154 * [taylor]: Taking taylor expansion of 1/4 in x 2.154 * [taylor]: Taking taylor expansion of (log (/ 1 (- 1.0 (/ 1 x)))) in x 2.154 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 2.154 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.154 * [taylor]: Taking taylor expansion of 1.0 in x 2.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.154 * [taylor]: Taking taylor expansion of x in x 2.223 * * * [progress]: simplifying candidates 2.228 * [simplify]: Simplifying using # : (- (log (- 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(pow x 2) (pow (sqrt -1) 3)))) (/ 1.0 (* (pow x 2) (sqrt -1)))) (- (+ (* (pow 1.0 1/4) (+ (sqrt 1.0) (* 0.28125 (* (pow x 2) (sqrt 1.0))))) (- (* 0.125 (* (/ (pow x 2) (sqrt 1.0)) (pow 1.0 1/4))) (* 1/8 (* (/ (pow x 2) (pow (sqrt 1.0) 3)) (pow 1.0 1/4))))) (+ (* 0.125 (* (* (pow x 2) (sqrt 1.0)) (pow (/ 1 (pow 1.0 7)) 1/4))) (* (pow 1.0 1/4) (+ (* 0.25 (* x (sqrt 1.0))) (* 1/2 (/ x (sqrt 1.0))))))) (- (* +nan.0 (- (pow (/ 1 (pow x 9)) 1/4) (pow (/ 1 x) 1/4))) (* +nan.0 (pow (/ 1 (pow x 5)) 1/4))) (- (* +nan.0 (- (/ (exp (* 1/4 (+ (log -1) (log (/ -1 x))))) (pow x 2)) (/ (exp (* 1/4 (+ (log -1) (log (/ -1 x))))) x))) (* +nan.0 (exp (* 1/4 (+ (log -1) (log (/ -1 x))))))) 2.992 * * * [progress]: adding candidates to table 3.608 * [progress]: [Phase 3 of 3] Extracting. 3.608 * * [regime]: Finding splitpoints for: (# #) 3.609 * * * [regime-changes]: Trying 5 branch expressions: ((/ (- 1.0 x) (+ 1.0 x)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) x) 3.609 * * * * [regimes]: Trying to branch on (/ (- 1.0 x) (+ 1.0 x)) from (# #) 3.620 * * * * [regimes]: Trying to branch on (sqrt (/ (- 1.0 x) (+ 1.0 x))) from (# #) 3.634 * * * * [regimes]: Trying to branch on (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) from (# #) 3.649 * * * * [regimes]: Trying to branch on (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) from (# #) 3.664 * * * * [regimes]: Trying to branch on x from (# #) 3.676 * * * [regime]: Found split indices: #