0.959 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.298 * * * [progress]: [2/2] Setting up program. 0.301 * [progress]: [Phase 2 of 3] Improving. 0.304 * [simplify]: Simplifying using # : (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.309 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 0.310 * * [simplify]: iteration 1 : 19 enodes (cost 6 ) 0.312 * * [simplify]: iteration 2 : 21 enodes (cost 6 ) 0.313 * * [simplify]: iteration 3 : 21 enodes (cost 6 ) 0.313 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.315 * * [progress]: iteration 1 / 4 0.315 * * * [progress]: picking best candidate 0.317 * * * * [pick]: Picked # 0.317 * * * [progress]: localizing error 0.327 * * * [progress]: generating rewritten candidates 0.327 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.337 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.345 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.350 * * * [progress]: generating series expansions 0.350 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.354 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.355 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.355 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.355 * [taylor]: Taking taylor expansion of 1.0 in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.357 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.357 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.357 * [taylor]: Taking taylor expansion of 1.0 in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [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 0.384 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.384 * [taylor]: Taking taylor expansion of 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 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 0.394 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.394 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 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 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.394 * [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 0.396 * [taylor]: Taking taylor expansion of 1.0 in x 0.396 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.396 * [taylor]: Taking taylor expansion of 1.0 in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.407 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.407 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.407 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.407 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.407 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.407 * [taylor]: Taking taylor expansion of 1.0 in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.413 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.413 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.413 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of 1.0 in x 0.435 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.435 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.435 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.435 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.435 * [taylor]: Taking taylor expansion of 1.0 in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 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 0.436 * [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 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of 1.0 in x 0.470 * [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 0.477 * [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]: [ 3 / 3 ] generating series at (2 2) 0.501 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.501 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.502 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.503 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.503 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.503 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.504 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.504 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.504 * * * [progress]: simplifying candidates 0.506 * [simplify]: Simplifying using # : (- (log (- 1.0 x)) (log (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (log (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 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (* (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.512 * * [simplify]: iteration 0 : 354 enodes (cost 753 ) 0.518 * * [simplify]: iteration 1 : 1071 enodes (cost 709 ) 0.541 * * [simplify]: iteration 2 : 5001 enodes (cost 690 ) 0.546 * [simplify]: Simplified to: (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 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))) (* (+ (* x (+ x 1.0)) (* 1.0 1.0)) (+ 1.0 x)) (* (+ 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)))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (+ 1.0 (* 2.0 (- (pow x 2) x))) (- (/ 2.0 x) (- 1 (/ (- 2.0) (pow x 2)))) (- (/ 2.0 x) (- 1 (/ (- 2.0) (pow x 2)))) (- (* (/ (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)) (+ (/ 0.5 (pow (sqrt -1) 3)) (/ 1.0 (sqrt -1)))) (/ 1.0 (* x (sqrt -1))))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 0.5 (pow (sqrt -1) 3)) (/ 1.0 (sqrt -1)))) (/ 1.0 (* x (sqrt -1))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.547 * * * [progress]: adding candidates to table 0.728 * * [progress]: iteration 2 / 4 0.728 * * * [progress]: picking best candidate 0.732 * * * * [pick]: Picked # 0.732 * * * [progress]: localizing error 0.743 * * * [progress]: generating rewritten candidates 0.743 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 0.752 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.774 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.815 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.882 * * * [progress]: generating series expansions 0.882 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 0.882 * [approximate]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in (x) around 0 0.882 * [taylor]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in x 0.882 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.882 * [taylor]: Taking taylor expansion of 1.0 in x 0.882 * [taylor]: Taking taylor expansion of x in x 0.882 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 0.882 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.882 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.882 * [taylor]: Taking taylor expansion of x in x 0.882 * [taylor]: Taking taylor expansion of 1.0 in x 0.886 * [taylor]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in x 0.886 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.886 * [taylor]: Taking taylor expansion of 1.0 in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 0.886 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.886 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of 1.0 in x 0.928 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in (x) around 0 0.928 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in x 0.928 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 0.928 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 0.928 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of 1.0 in x 0.930 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.930 * [taylor]: Taking taylor expansion of 1.0 in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in x 0.931 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 0.931 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 0.931 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.931 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of 1.0 in x 0.932 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.932 * [taylor]: Taking taylor expansion of 1.0 in x 0.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.953 * [approximate]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in (x) around 0 0.953 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 0.953 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.953 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of 1.0 in x 0.953 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.953 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.953 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.953 * [taylor]: Taking taylor expansion of 1.0 in x 0.953 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 0.955 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of 1.0 in x 0.956 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.956 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.956 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.956 * [taylor]: Taking taylor expansion of 1.0 in x 0.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.977 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.977 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.977 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.977 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.977 * [taylor]: Taking taylor expansion of 1.0 in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of 1.0 in x 0.978 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.978 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.978 * [taylor]: Taking taylor expansion of 1.0 in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of 1.0 in x 0.986 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.986 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.986 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.986 * [taylor]: Taking taylor expansion of 1.0 in x 0.986 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.986 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of 1.0 in x 0.988 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.988 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.988 * [taylor]: Taking taylor expansion of 1.0 in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of 1.0 in x 1.001 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 1.001 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.001 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of 1.0 in x 1.001 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.001 * [taylor]: Taking taylor expansion of 1.0 in x 1.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.001 * [taylor]: Taking taylor expansion of x in x 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 1.003 * [taylor]: Taking taylor expansion of 1.0 in x 1.003 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.003 * [taylor]: Taking taylor expansion of 1.0 in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.013 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.013 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.013 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.013 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.013 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.013 * [taylor]: Taking taylor expansion of 1.0 in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of 1.0 in x 1.018 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.018 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.018 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.018 * [taylor]: Taking taylor expansion of 1.0 in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.018 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.018 * [taylor]: Taking taylor expansion of 1.0 in x 1.039 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.039 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.039 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.039 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.039 * [taylor]: Taking taylor expansion of 1.0 in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of 1.0 in x 1.045 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.045 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.045 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.045 * [taylor]: Taking taylor expansion of 1.0 in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.046 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.046 * [taylor]: Taking taylor expansion of 1.0 in x 1.069 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.069 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.069 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.069 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.069 * [taylor]: Taking taylor expansion of 1.0 in x 1.069 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.069 * [taylor]: Taking taylor expansion of 1.0 in x 1.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.075 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.075 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of 1.0 in x 1.076 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.076 * [taylor]: Taking taylor expansion of 1.0 in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.102 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.102 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 1.102 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.103 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.103 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 1.103 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.103 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.104 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 1.104 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.104 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.105 * * * [progress]: simplifying candidates 1.120 * [simplify]: Simplifying using # : (- (log (- 1.0 x)) (log (sqrt (+ 1.0 x)))) (log (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (exp (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (* (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x))))) (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (* (* (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (- (- 1.0 x)) (- (sqrt (+ 1.0 x))) (/ 1.0 (sqrt (+ 1.0 x))) (/ x (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (cbrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 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1.0 (* 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 (* x (sqrt -1)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1.285 * * * [progress]: adding candidates to table 1.977 * * [progress]: iteration 3 / 4 1.977 * * * [progress]: picking best candidate 1.979 * * * * [pick]: Picked # 1.979 * * * [progress]: localizing error 1.989 * * * [progress]: generating rewritten candidates 1.989 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 1.996 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 2.004 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.005 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.021 * * * [progress]: generating series expansions 2.021 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 2.022 * [approximate]: Taking taylor expansion of (log (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 2.022 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 x) (+ x 1.0))) in x 2.022 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.022 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.022 * [taylor]: Taking taylor expansion of 1.0 in x 2.022 * [taylor]: Taking taylor expansion of x in x 2.022 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.022 * [taylor]: Taking taylor expansion of x in x 2.022 * [taylor]: Taking taylor expansion of 1.0 in x 2.024 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 x) (+ x 1.0))) in x 2.024 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.024 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.024 * [taylor]: Taking taylor expansion of 1.0 in x 2.024 * [taylor]: Taking taylor expansion of x in x 2.024 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.024 * [taylor]: Taking taylor expansion of x in x 2.024 * [taylor]: Taking taylor expansion of 1.0 in x 2.055 * [approximate]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 2.055 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 2.055 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 2.055 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.055 * [taylor]: Taking taylor expansion of 1.0 in x 2.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.055 * [taylor]: Taking taylor expansion of x in x 2.056 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.056 * [taylor]: Taking taylor expansion of x in x 2.056 * [taylor]: Taking taylor expansion of 1.0 in x 2.057 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 2.057 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 2.057 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.057 * [taylor]: Taking taylor expansion of 1.0 in x 2.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.057 * [taylor]: Taking taylor expansion of x in x 2.057 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.058 * [taylor]: Taking taylor expansion of x in x 2.058 * [taylor]: Taking taylor expansion of 1.0 in x 2.099 * [approximate]: Taking taylor expansion of (log (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 2.099 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 2.099 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 2.099 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.099 * [taylor]: Taking taylor expansion of x in x 2.100 * [taylor]: Taking taylor expansion of 1.0 in x 2.100 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.100 * [taylor]: Taking taylor expansion of 1.0 in x 2.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.100 * [taylor]: Taking taylor expansion of x in x 2.101 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 2.101 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 2.101 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.101 * [taylor]: Taking taylor expansion of x in x 2.102 * [taylor]: Taking taylor expansion of 1.0 in x 2.102 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.102 * [taylor]: Taking taylor expansion of 1.0 in x 2.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.102 * [taylor]: Taking taylor expansion of x in x 2.151 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 2.151 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 2.151 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.151 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.151 * [taylor]: Taking taylor expansion of 1.0 in x 2.151 * [taylor]: Taking taylor expansion of x in x 2.151 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.151 * [taylor]: Taking taylor expansion of x in x 2.151 * [taylor]: Taking taylor expansion of 1.0 in x 2.152 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.152 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.152 * [taylor]: Taking taylor expansion of 1.0 in x 2.152 * [taylor]: Taking taylor expansion of x in x 2.152 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.152 * [taylor]: Taking taylor expansion of x in x 2.152 * [taylor]: Taking taylor expansion of 1.0 in x 2.160 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 2.160 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 2.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.160 * [taylor]: Taking taylor expansion of 1.0 in x 2.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.160 * [taylor]: Taking taylor expansion of x in x 2.160 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.160 * [taylor]: Taking taylor expansion of x in x 2.161 * [taylor]: Taking taylor expansion of 1.0 in x 2.162 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 2.162 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.162 * [taylor]: Taking taylor expansion of 1.0 in x 2.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.162 * [taylor]: Taking taylor expansion of x in x 2.162 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.162 * [taylor]: Taking taylor expansion of x in x 2.162 * [taylor]: Taking taylor expansion of 1.0 in x 2.171 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 2.171 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 2.171 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.171 * [taylor]: Taking taylor expansion of x in x 2.171 * [taylor]: Taking taylor expansion of 1.0 in x 2.172 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.172 * [taylor]: Taking taylor expansion of 1.0 in x 2.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.172 * [taylor]: Taking taylor expansion of x in x 2.173 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 2.173 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.173 * [taylor]: Taking taylor expansion of x in x 2.173 * [taylor]: Taking taylor expansion of 1.0 in x 2.173 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.173 * [taylor]: Taking taylor expansion of 1.0 in x 2.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.173 * [taylor]: Taking taylor expansion of x in x 2.183 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.183 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 2.183 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 2.183 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 2.184 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 2.184 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 2.184 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 2.185 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 2.185 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 2.185 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 2.185 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.185 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 2.185 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 2.185 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.185 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.185 * [taylor]: Taking taylor expansion of 1.0 in x 2.185 * [taylor]: Taking taylor expansion of x in x 2.186 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.186 * [taylor]: Taking taylor expansion of x in x 2.186 * [taylor]: Taking taylor expansion of 1.0 in x 2.190 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 2.190 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.191 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.191 * [taylor]: Taking taylor expansion of 1.0 in x 2.191 * [taylor]: Taking taylor expansion of x in x 2.191 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.191 * [taylor]: Taking taylor expansion of x in x 2.191 * [taylor]: Taking taylor expansion of 1.0 in x 2.217 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 2.217 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 2.217 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 2.217 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.217 * [taylor]: Taking taylor expansion of 1.0 in x 2.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.217 * [taylor]: Taking taylor expansion of x in x 2.218 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.218 * [taylor]: Taking taylor expansion of x in x 2.218 * [taylor]: Taking taylor expansion of 1.0 in x 2.223 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 2.224 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 2.224 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.224 * [taylor]: Taking taylor expansion of 1.0 in x 2.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.224 * [taylor]: Taking taylor expansion of x in x 2.224 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.224 * [taylor]: Taking taylor expansion of x in x 2.224 * [taylor]: Taking taylor expansion of 1.0 in x 2.248 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 2.248 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 2.248 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 2.248 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.248 * [taylor]: Taking taylor expansion of x in x 2.248 * [taylor]: Taking taylor expansion of 1.0 in x 2.248 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.248 * [taylor]: Taking taylor expansion of 1.0 in x 2.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.248 * [taylor]: Taking taylor expansion of x in x 2.254 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 2.254 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 2.254 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.254 * [taylor]: Taking taylor expansion of x in x 2.254 * [taylor]: Taking taylor expansion of 1.0 in x 2.254 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.254 * [taylor]: Taking taylor expansion of 1.0 in x 2.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.255 * [taylor]: Taking taylor expansion of x in x 2.278 * * * [progress]: simplifying candidates 2.280 * [simplify]: Simplifying using # : (log (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (log (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (log (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (log (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (log (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (log (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (log (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (log (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (log (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (log (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (log (/ (sqrt (- 1.0 x)) (cbrt (+ 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)) 1)) (log (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (log (/ (sqrt (- 1.0 x)) 1)) (log (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (log (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (log (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (log (/ 1 (sqrt (+ 1.0 x)))) (log (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (log (/ 1 1)) (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ 1 1)) (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (log (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (log (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (log (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (log (/ (+ (sqrt 1.0) (sqrt x)) 1)) (log (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (log (/ (+ (sqrt 1.0) (sqrt x)) 1)) (log (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (log (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (log (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (log (/ 1 (sqrt (+ 1.0 x)))) (log (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (log (/ 1 1)) (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ 1 1)) (log (/ (- 1.0 x) (+ 1.0 x))) (log 1) (log (/ (- 1.0 x) (+ 1.0 x))) (log (- 1.0 x)) (log (/ 1 (+ 1.0 x))) (log (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (log (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (log (- 1.0 x)) (log (- 1.0 x)) (log (+ 1.0 x)) (log (/ (- 1.0 x) (+ 1.0 x))) (log (log (/ (- 1.0 x) (+ 1.0 x)))) (exp (log (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (log (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (log (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (log (/ (- 1.0 x) (+ 1.0 x)))) (* (* (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x)))) (log (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (log (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (log (/ (- 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 (exp (log (/ (- 1.0 x) (+ 1.0 x))))))) (exp (atan (sqrt (exp (log (/ (- 1.0 x) (+ 1.0 x))))))) (* (cbrt (atan (sqrt (exp (log (/ (- 1.0 x) (+ 1.0 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[simplify]: iteration 0 : 511 enodes (cost 1271 ) 2.297 * * [simplify]: iteration 1 : 1589 enodes (cost 1188 ) 2.321 * * [simplify]: iteration 2 : 5002 enodes (cost 1153 ) 2.333 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (log (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* 2 (log (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))))) (log (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (log (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (log (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (* 2 (log (cbrt (- 1.0 x)))) (log (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (* 2 (log (cbrt (- 1.0 x)))) (log (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (log (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (log (/ (sqrt (- 1.0 x)) (cbrt (+ 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)) (+ 1.0 x))) (log (sqrt (- 1.0 x))) (log (/ (sqrt (- 1.0 x)) 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x)) x) 2.635 * * * * [regimes]: Trying to branch on (/ (- 1.0 x) (+ 1.0 x)) from (# #) 2.645 * * * * [regimes]: Trying to branch on x from (# #) 2.656 * * * [regime]: Found split indices: #