0.918 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.296 * * * [progress]: [2/2] Setting up program. 0.299 * [progress]: [Phase 2 of 3] Improving. 0.302 * [simplify]: Simplifying using # : (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.306 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 0.307 * * [simplify]: iteration 1 : 19 enodes (cost 6 ) 0.309 * * [simplify]: iteration 2 : 21 enodes (cost 6 ) 0.310 * * [simplify]: iteration 3 : 21 enodes (cost 6 ) 0.310 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.312 * * [progress]: iteration 1 / 4 0.312 * * * [progress]: picking best candidate 0.314 * * * * [pick]: Picked # 0.314 * * * [progress]: localizing error 0.325 * * * [progress]: generating rewritten candidates 0.325 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.340 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.340 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.356 * * * [progress]: generating series expansions 0.356 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.360 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.361 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.361 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.363 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.363 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.363 * [taylor]: Taking taylor expansion of 1.0 in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.381 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.381 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.381 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 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 0.382 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.383 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.383 * [taylor]: Taking taylor expansion of 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 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.393 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.405 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.405 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.405 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.407 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.407 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.407 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.407 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.408 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.408 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.408 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.408 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.408 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.408 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.408 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.408 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.409 * [taylor]: Taking taylor expansion of 1.0 in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of 1.0 in x 0.414 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.414 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.414 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.414 * [taylor]: Taking taylor expansion of 1.0 in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of 1.0 in x 0.436 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.436 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.436 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.436 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.442 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.442 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.442 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.470 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.470 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.470 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.477 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.501 * * * [progress]: simplifying candidates 0.503 * [simplify]: Simplifying using # : (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (- (log (- 1.0 x)) (log (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (expm1 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (* (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt 1) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 0.509 * * [simplify]: iteration 0 : 370 enodes (cost 779 ) 0.515 * * [simplify]: iteration 1 : 1128 enodes (cost 734 ) 0.537 * * [simplify]: iteration 2 : 5001 enodes (cost 719 ) 0.542 * [simplify]: Simplified to: (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0))) (- x 1.0) (- (+ 1.0 x)) (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (- 1.0 x) (- 1.0 x) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (fma 1.0 1.0 (fma x x (* 1.0 x))) (+ 1.0 x)) (* (+ 1.0 x) (+ 1.0 x)) (expm1 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ x 1.0)))) (exp (sqrt (/ (- 1.0 x) (+ x 1.0)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (fabs (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (fabs (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) 1/2 (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (fma (pow x 2) 2.0 (- 1.0 (* 2.0 x))) (- (/ 2.0 x) (- 1 (/ (- 2.0) (pow x 2)))) (- (/ 2.0 x) (- 1 (/ (- 2.0) (pow x 2)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (- (* 1.0 (/ x (sqrt 1.0))) (sqrt 1.0))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3)))) (/ 1.0 (* x (sqrt -1))))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3)))) (/ 1.0 (* x (sqrt -1))))) 0.542 * * * [progress]: adding candidates to table 0.772 * * [progress]: iteration 2 / 4 0.772 * * * [progress]: picking best candidate 0.776 * * * * [pick]: Picked # 0.776 * * * [progress]: localizing error 0.788 * * * [progress]: generating rewritten candidates 0.788 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.904 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 0.917 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 0.931 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1) 0.981 * * * [progress]: generating series expansions 0.981 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.981 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.981 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.981 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.981 * [taylor]: Taking taylor expansion of 1.0 in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of 1.0 in x 0.982 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.982 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.982 * [taylor]: Taking taylor expansion of 1.0 in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of 1.0 in x 0.990 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.990 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.990 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.990 * [taylor]: Taking taylor expansion of 1.0 in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of 1.0 in x 0.992 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.992 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.992 * [taylor]: Taking taylor expansion of 1.0 in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.993 * [taylor]: Taking taylor expansion of 1.0 in x 1.002 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 1.002 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.002 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of 1.0 in x 1.002 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.002 * [taylor]: Taking taylor expansion of 1.0 in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.004 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.004 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.004 * [taylor]: Taking taylor expansion of 1.0 in x 1.004 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.004 * [taylor]: Taking taylor expansion of 1.0 in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.022 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 1.022 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.022 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.022 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.022 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.022 * [taylor]: Taking taylor expansion of 1.0 in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of 1.0 in x 1.027 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.027 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.027 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.027 * [taylor]: Taking taylor expansion of 1.0 in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of 1.0 in x 1.049 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.049 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.049 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.049 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.049 * [taylor]: Taking taylor expansion of 1.0 in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of 1.0 in x 1.055 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.055 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.055 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.055 * [taylor]: Taking taylor expansion of 1.0 in x 1.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of 1.0 in x 1.079 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.079 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.079 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.079 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.080 * [taylor]: Taking taylor expansion of 1.0 in x 1.080 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.080 * [taylor]: Taking taylor expansion of 1.0 in x 1.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.086 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.086 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of 1.0 in x 1.086 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.086 * [taylor]: Taking taylor expansion of 1.0 in x 1.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.113 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 1.113 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.113 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.113 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.113 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.113 * [taylor]: Taking taylor expansion of 1.0 in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.113 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.113 * [taylor]: Taking taylor expansion of 1.0 in x 1.118 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.118 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.118 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.118 * [taylor]: Taking taylor expansion of 1.0 in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.118 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.118 * [taylor]: Taking taylor expansion of 1.0 in x 1.139 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.139 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.139 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.139 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.139 * [taylor]: Taking taylor expansion of 1.0 in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of 1.0 in x 1.146 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.146 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.146 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.146 * [taylor]: Taking taylor expansion of 1.0 in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of 1.0 in x 1.169 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.169 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.169 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.169 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of 1.0 in x 1.170 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.170 * [taylor]: Taking taylor expansion of 1.0 in x 1.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.175 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.175 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.176 * [taylor]: Taking taylor expansion of 1.0 in x 1.176 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.176 * [taylor]: Taking taylor expansion of 1.0 in x 1.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.176 * [taylor]: Taking taylor expansion of x in x 1.202 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1) 1.203 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 x)) in (x) around 0 1.203 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 1.203 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.203 * [taylor]: Taking taylor expansion of 1.0 in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 1.205 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.205 * [taylor]: Taking taylor expansion of 1.0 in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.215 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.215 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.215 * [taylor]: Taking taylor expansion of 1.0 in x 1.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.215 * [taylor]: Taking taylor expansion of x in x 1.217 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.217 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.217 * [taylor]: Taking taylor expansion of 1.0 in x 1.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.217 * [taylor]: Taking taylor expansion of x in x 1.225 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 1.225 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.225 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of 1.0 in x 1.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.227 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.227 * [taylor]: Taking taylor expansion of x in x 1.227 * [taylor]: Taking taylor expansion of 1.0 in x 1.234 * * * [progress]: simplifying candidates 1.244 * [simplify]: Simplifying using # : (expm1 (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (log1p (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (+ 1 1) (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (+ 1 1) (+ (- (log (sqrt (- 1.0 x))) (log (sqrt (+ 1.0 x)))) (- (log (sqrt (- 1.0 x))) (log (sqrt (+ 1.0 x))))) (+ (- (log (sqrt (- 1.0 x))) (log (sqrt (+ 1.0 x)))) (log (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (+ (log (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (- (log (sqrt (- 1.0 x))) (log (sqrt (+ 1.0 x))))) (+ (log (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (log (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (log (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (exp (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (/ (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (/ (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))))) (* (/ (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (* (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (* (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))))) (* (* (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (* (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (cbrt (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (cbrt (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (cbrt (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (* (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (sqrt (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (* (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) 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x))) (/ (fabs (cbrt (+ 1.0 x))) (cbrt (sqrt (- 1.0 x))))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (* (cbrt (sqrt (- 1.0 x))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (* (cbrt (sqrt (- 1.0 x))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (/ (fabs (cbrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (cbrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (fabs (cbrt (- 1.0 x))) (* (fabs (cbrt (+ 1.0 x))) 1)) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (fabs (cbrt (- 1.0 x))) (* (sqrt (sqrt (+ 1.0 x))) 1)) (/ (sqrt (cbrt (- 1.0 x))) (sqrt 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(cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (/ (fabs (cbrt (+ 1.0 x))) 1)) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (* (fabs (cbrt (+ 1.0 x))) 1)) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (+ (sqrt 1.0) (sqrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (sqrt (+ (sqrt 1.0) (sqrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (+ (sqrt 1.0) (sqrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (/ (fabs (cbrt (+ 1.0 x))) 1)) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (* (fabs (cbrt (+ 1.0 x))) 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (/ (fabs (cbrt (+ 1.0 x))) 1)) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (fabs (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (sqrt (- 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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))) (fma (pow x 2) 2.0 (- 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))))) (+ (sqrt 1.0) (- (* 1.0 (/ (pow x 2) (sqrt 1.0))) (fma 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)) (* 1.0 (/ x (sqrt 1.0)))))) (fma 1.0 (/ 1 (* x (sqrt -1))) (- (sqrt -1) (fma 1.0 (/ 1 (* (pow x 2) (sqrt -1))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))))) (fma 1.0 (/ 1 (* x (sqrt -1))) (- (sqrt -1) (fma 1.0 (/ 1 (* (pow x 2) (sqrt -1))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))))) (+ (sqrt 1.0) (- (* 1.0 (/ (pow x 2) (sqrt 1.0))) (fma 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)) (* 1.0 (/ x (sqrt 1.0)))))) (fma 1.0 (/ 1 (* x (sqrt -1))) (- (sqrt -1) (fma 1.0 (/ 1 (* (pow x 2) (sqrt -1))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))))) (fma 1.0 (/ 1 (* x (sqrt -1))) (- (sqrt -1) (fma 1.0 (/ 1 (* (pow x 2) (sqrt -1))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1/2 (/ x (sqrt 1.0))))) (+ (- (* +nan.0 (/ 1 (pow x 2)))) (fma +nan.0 (/ 1 x) (- +nan.0))) (+ (- (* +nan.0 (/ 1 (pow x 2)))) (fma +nan.0 (/ 1 x) (- +nan.0))) 1.321 * * * [progress]: adding candidates to table 2.156 * * [progress]: iteration 3 / 4 2.156 * * * [progress]: picking best candidate 2.158 * * * * [pick]: Picked # 2.158 * * * [progress]: localizing error 2.170 * * * [progress]: generating rewritten candidates 2.170 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 2.232 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 2.281 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.281 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 2) 2.307 * * * [progress]: generating series expansions 2.308 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 2.308 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 2.308 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.308 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.308 * [taylor]: Taking taylor expansion of 1.0 in x 2.308 * [taylor]: Taking taylor expansion of x in x 2.308 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.308 * [taylor]: Taking taylor expansion of x in x 2.308 * [taylor]: Taking taylor expansion of 1.0 in x 2.309 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.309 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.309 * [taylor]: Taking taylor expansion of 1.0 in x 2.309 * [taylor]: Taking taylor expansion of x in x 2.309 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.309 * [taylor]: Taking taylor expansion of x in x 2.309 * [taylor]: Taking taylor expansion of 1.0 in x 2.317 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 2.317 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 2.317 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.317 * [taylor]: Taking taylor expansion of 1.0 in x 2.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.317 * [taylor]: Taking taylor expansion of x in x 2.318 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.318 * [taylor]: Taking taylor expansion of x in x 2.318 * [taylor]: Taking taylor expansion of 1.0 in x 2.319 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 2.319 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.319 * [taylor]: Taking taylor expansion of 1.0 in x 2.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.319 * [taylor]: Taking taylor expansion of x in x 2.319 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.319 * [taylor]: Taking taylor expansion of x in x 2.320 * [taylor]: Taking taylor expansion of 1.0 in x 2.329 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 2.329 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 2.329 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.329 * [taylor]: Taking taylor expansion of x in x 2.329 * [taylor]: Taking taylor expansion of 1.0 in x 2.329 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.329 * [taylor]: Taking taylor expansion of 1.0 in x 2.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.329 * [taylor]: Taking taylor expansion of x in x 2.330 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 2.331 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.331 * [taylor]: Taking taylor expansion of x in x 2.331 * [taylor]: Taking taylor expansion of 1.0 in x 2.331 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.331 * [taylor]: Taking taylor expansion of 1.0 in x 2.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.331 * [taylor]: Taking taylor expansion of x in x 2.341 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 2.341 * [approximate]: Taking taylor expansion of (/ 1 (+ x 1.0)) in (x) around 0 2.341 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 2.341 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.341 * [taylor]: Taking taylor expansion of x in x 2.341 * [taylor]: Taking taylor expansion of 1.0 in x 2.341 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 2.341 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.341 * [taylor]: Taking taylor expansion of x in x 2.341 * [taylor]: Taking taylor expansion of 1.0 in x 2.347 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in (x) around 0 2.347 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 2.347 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.347 * [taylor]: Taking taylor expansion of x in x 2.347 * [taylor]: Taking taylor expansion of 1.0 in x 2.348 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 2.348 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.348 * [taylor]: Taking taylor expansion of x in x 2.348 * [taylor]: Taking taylor expansion of 1.0 in x 2.354 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in (x) around 0 2.354 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 2.355 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.355 * [taylor]: Taking taylor expansion of 1.0 in x 2.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.355 * [taylor]: Taking taylor expansion of x in x 2.356 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 2.356 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.356 * [taylor]: Taking taylor expansion of 1.0 in x 2.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.356 * [taylor]: Taking taylor expansion of x in x 2.363 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.363 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 2.364 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 2.364 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 2.364 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 2.364 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 2.364 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 2.365 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 2.365 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 2.365 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 2.365 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 2) 2.365 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in (x) around 0 2.366 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 2.366 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 2.366 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.366 * [taylor]: Taking taylor expansion of x in x 2.366 * [taylor]: Taking taylor expansion of 1.0 in x 2.373 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 2.374 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 2.374 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.374 * [taylor]: Taking taylor expansion of x in x 2.374 * [taylor]: Taking taylor expansion of 1.0 in x 2.392 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in (x) around 0 2.392 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 2.392 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 2.392 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.392 * [taylor]: Taking taylor expansion of x in x 2.393 * [taylor]: Taking taylor expansion of 1.0 in x 2.394 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 2.394 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 2.394 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.394 * [taylor]: Taking taylor expansion of x in x 2.395 * [taylor]: Taking taylor expansion of 1.0 in x 2.406 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in (x) around 0 2.406 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 2.406 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 2.406 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.406 * [taylor]: Taking taylor expansion of 1.0 in x 2.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.406 * [taylor]: Taking taylor expansion of x in x 2.408 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 2.408 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 2.408 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.408 * [taylor]: Taking taylor expansion of 1.0 in x 2.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.408 * [taylor]: Taking taylor expansion of x in x 2.421 * * * [progress]: simplifying candidates 2.426 * [simplify]: Simplifying using # : (expm1 (* (- 1.0 x) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x)))))) (log1p (* (- 1.0 x) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x)))))) (* (- 1.0 x) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))))) (* (- 1.0 x) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))))) (+ (log (- 1.0 x)) (+ (- (log (sqrt (+ 1.0 x)))) (- (log (sqrt (+ 1.0 x)))))) (+ (log (- 1.0 x)) (+ (- (log (sqrt (+ 1.0 x)))) (- 0 (log (sqrt (+ 1.0 x)))))) (+ (log (- 1.0 x)) (+ (- (log (sqrt (+ 1.0 x)))) (- (log 1) (log (sqrt (+ 1.0 x)))))) (+ (log (- 1.0 x)) (+ (- (log (sqrt (+ 1.0 x)))) (log (/ 1 (sqrt (+ 1.0 x)))))) (+ (log (- 1.0 x)) (+ (- 0 (log (sqrt (+ 1.0 x)))) (- (log (sqrt (+ 1.0 x)))))) (+ (log (- 1.0 x)) (+ (- 0 (log (sqrt (+ 1.0 x)))) (- 0 (log (sqrt (+ 1.0 x)))))) (+ (log (- 1.0 x)) (+ (- 0 (log (sqrt (+ 1.0 x)))) (- (log 1) (log (sqrt (+ 1.0 x)))))) (+ (log (- 1.0 x)) (+ (- 0 (log (sqrt (+ 1.0 x)))) (log (/ 1 (sqrt (+ 1.0 x)))))) (+ (log (- 1.0 x)) (+ (- (log 1) (log (sqrt (+ 1.0 x)))) (- (log (sqrt (+ 1.0 x)))))) (+ (log (- 1.0 x)) (+ (- (log 1) (log (sqrt (+ 1.0 x)))) (- 0 (log (sqrt (+ 1.0 x)))))) (+ (log (- 1.0 x)) (+ (- (log 1) (log (sqrt (+ 1.0 x)))) (- (log 1) (log (sqrt (+ 1.0 x)))))) (+ (log (- 1.0 x)) (+ (- (log 1) (log (sqrt (+ 1.0 x)))) (log (/ 1 (sqrt (+ 1.0 x)))))) (+ (log (- 1.0 x)) (+ (log (/ 1 (sqrt (+ 1.0 x)))) (- (log (sqrt (+ 1.0 x)))))) (+ (log (- 1.0 x)) (+ (log (/ 1 (sqrt (+ 1.0 x)))) (- 0 (log (sqrt (+ 1.0 x)))))) (+ (log (- 1.0 x)) (+ (log (/ 1 (sqrt (+ 1.0 x)))) (- (log 1) (log (sqrt (+ 1.0 x)))))) (+ (log (- 1.0 x)) (+ (log (/ 1 (sqrt (+ 1.0 x)))) (log (/ 1 (sqrt (+ 1.0 x)))))) (+ (log (- 1.0 x)) (log (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x)))))) (log (* (- 1.0 x) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x)))))) (exp (* (- 1.0 x) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x)))))) (* (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (/ (* (* 1 1) 1) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (/ (* (* 1 1) 1) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (* (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (/ (* (* 1 1) 1) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (* (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x)))) (/ 1 (sqrt (+ 1.0 x)))))) (* (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x)))) (/ 1 (sqrt (+ 1.0 x)))) (/ (* (* 1 1) 1) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (* (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x)))) (/ 1 (sqrt (+ 1.0 x)))) (* (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x)))) (/ 1 (sqrt (+ 1.0 x)))))) (* (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x)))) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))))) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x)))))) (* (cbrt (* (- 1.0 x) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x)))))) (cbrt (* (- 1.0 x) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))))))) (cbrt (* (- 1.0 x) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x)))))) (* (* (* (- 1.0 x) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))))) (* (- 1.0 x) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x)))))) (* (- 1.0 x) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x)))))) (sqrt (* (- 1.0 x) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x)))))) (sqrt (* (- 1.0 x) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x)))))) (* (- (pow 1.0 3) (pow x 3)) (* 1 1)) (* (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x)))) (* (- (pow 1.0 3) (pow x 3)) (/ 1 (sqrt (+ 1.0 x)))) (* (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))) (sqrt (+ 1.0 x))) (* (- (pow 1.0 3) (pow x 3)) (* (/ 1 (sqrt (+ 1.0 x))) 1)) (* (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))) (sqrt (+ 1.0 x))) (* (- (pow 1.0 3) (pow x 3)) (* 1 (/ 1 (sqrt (+ 1.0 x))))) (* (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))) (sqrt (+ 1.0 x))) (* (- (* 1.0 1.0) (* x x)) (* 1 1)) (* (+ 1.0 x) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x)))) (* (- (* 1.0 1.0) (* x x)) (/ 1 (sqrt (+ 1.0 x)))) (* (+ 1.0 x) (sqrt (+ 1.0 x))) (* (- (* 1.0 1.0) (* x x)) (* (/ 1 (sqrt (+ 1.0 x))) 1)) (* (+ 1.0 x) (sqrt (+ 1.0 x))) (* (- (* 1.0 1.0) (* x x)) (* 1 (/ 1 (sqrt (+ 1.0 x))))) (* (+ 1.0 x) (sqrt (+ 1.0 x))) (* (sqrt (- 1.0 x)) (/ 1 (sqrt (+ 1.0 x)))) (* (sqrt (- 1.0 x)) (/ 1 (sqrt (+ 1.0 x)))) (* (- 1.0 x) (/ 1 (sqrt (+ 1.0 x)))) (* (cbrt (- 1.0 x)) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))))) (* (sqrt (- 1.0 x)) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))))) (* (- 1.0 x) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))))) (* (- (sqrt 1.0) (sqrt x)) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))))) (* (- 1.0 x) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))))) (* (- 1.0 x) (* 1 1)) (* (- 1.0 x) (/ 1 (sqrt (+ 1.0 x)))) (* (- 1.0 x) (* (/ 1 (sqrt (+ 1.0 x))) 1)) (* (- 1.0 x) (* 1 (/ 1 (sqrt (+ 1.0 x))))) (* (- (pow 1.0 3) (pow x 3)) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))))) (* (- (* 1.0 1.0) (* x x)) (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))))) (expm1 (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))))) (log1p (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))))) (+ -1 -1) (+ -1 (- 1)) (+ (- 1/2) (- 1/2)) (+ (- 1/2) (- (/ 1 2))) (+ (- 1) -1) (+ (- 1) (- 1)) (+ (- (/ 1 2)) (- 1/2)) (+ (- (/ 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splitpoints for: (# #) 2.987 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.987 * * * * [regimes]: Trying to branch on x from (# #) 3.000 * * * [regime]: Found split indices: #