0.947 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.282 * * * [progress]: [2/2] Setting up program. 0.286 * [progress]: [Phase 2 of 3] Improving. 0.288 * [simplify]: Simplifying using # : (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.294 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 0.296 * * [simplify]: iteration 1 : 19 enodes (cost 6 ) 0.297 * * [simplify]: iteration 2 : 21 enodes (cost 6 ) 0.298 * * [simplify]: iteration 3 : 21 enodes (cost 6 ) 0.299 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.301 * * [progress]: iteration 1 / 4 0.301 * * * [progress]: picking best candidate 0.303 * * * * [pick]: Picked # 0.303 * * * [progress]: localizing error 0.314 * * * [progress]: generating rewritten candidates 0.314 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.324 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.325 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1) 0.338 * * * [progress]: generating series expansions 0.338 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.343 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.344 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.344 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.344 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.350 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.350 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.389 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.389 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.389 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.389 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.396 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 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 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 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 0.396 * [taylor]: Taking taylor expansion of 1.0 in x 0.420 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.420 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.420 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.427 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.454 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.454 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.454 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.455 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.461 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.461 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.461 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.461 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.461 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.461 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.462 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1) 0.462 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.462 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.462 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.462 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of 1.0 in x 0.463 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.464 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.471 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 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 0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of 1.0 in x 0.473 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.473 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.473 * [taylor]: Taking taylor expansion of 1.0 in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.483 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.483 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of 1.0 in x 0.483 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.483 * [taylor]: Taking taylor expansion of 1.0 in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.495 * * * [progress]: simplifying candidates 0.497 * [simplify]: Simplifying using # : (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt 1) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (expm1 (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 (/ (- 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)) (- (+ (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)))) (- (+ (* 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))))) 0.504 * * [simplify]: iteration 0 : 370 enodes (cost 779 ) 0.510 * * [simplify]: iteration 1 : 1128 enodes (cost 734 ) 0.532 * * [simplify]: iteration 2 : 5001 enodes (cost 719 ) 0.537 * [simplify]: Simplified to: (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ x 1.0)))) (exp (sqrt (/ (- 1.0 x) (+ x 1.0)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (fabs (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (fabs (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) 1/2 (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (expm1 (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 (/ (- 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)) (- (* (/ (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))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (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)))) 0.538 * * * [progress]: adding candidates to table 0.734 * * [progress]: iteration 2 / 4 0.734 * * * [progress]: picking best candidate 0.743 * * * * [pick]: Picked # 0.744 * * * [progress]: localizing error 0.753 * * * [progress]: generating rewritten candidates 0.753 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.763 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.767 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.770 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.782 * * * [progress]: generating series expansions 0.782 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.782 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.782 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.782 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.782 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.783 * [taylor]: Taking taylor expansion of 1.0 in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of 1.0 in x 0.788 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.788 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.788 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.788 * [taylor]: Taking taylor expansion of 1.0 in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of 1.0 in x 0.810 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.810 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.810 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.810 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.810 * [taylor]: Taking taylor expansion of 1.0 in x 0.810 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.810 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of 1.0 in x 0.816 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.816 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.816 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.816 * [taylor]: Taking taylor expansion of 1.0 in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.840 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.840 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.840 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.841 * [taylor]: Taking taylor expansion of 1.0 in x 0.841 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.841 * [taylor]: Taking taylor expansion of 1.0 in x 0.841 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.847 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of 1.0 in x 0.847 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.847 * [taylor]: Taking taylor expansion of 1.0 in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.874 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.874 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 x)) in (x) around 0 0.874 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 0.874 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.874 * [taylor]: Taking taylor expansion of 1.0 in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 0.877 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.877 * [taylor]: Taking taylor expansion of 1.0 in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.886 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.887 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.887 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.887 * [taylor]: Taking taylor expansion of 1.0 in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.889 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.889 * [taylor]: Taking taylor expansion of 1.0 in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.897 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.897 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.897 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.897 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of 1.0 in x 0.899 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.899 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of 1.0 in x 0.907 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.907 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.907 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.907 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of 1.0 in x 0.908 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.909 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of 1.0 in x 0.918 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.918 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.918 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of 1.0 in x 0.919 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.920 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of 1.0 in x 0.927 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.927 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.927 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.927 * [taylor]: Taking taylor expansion of 1.0 in x 0.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.929 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.929 * [taylor]: Taking taylor expansion of 1.0 in x 0.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.937 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.937 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.937 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.937 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.938 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.938 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.938 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.939 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.939 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.939 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.939 * * * [progress]: simplifying candidates 0.941 * [simplify]: Simplifying using # : (expm1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (log1p (/ (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)))) (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)))) (* (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)))) (* (* (/ (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)) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (- (sqrt (- 1.0 x))) (- (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 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)))) (sqrt 1)) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1)) (/ (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)))) 1) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (cbrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt 1)) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt 1)) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 1) (/ (sqrt (cbrt (- 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))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (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 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt 1)) (/ (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))) 1) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt 1) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) 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))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (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 1)) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt 1)) (/ (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))) 1) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ (sqrt 1) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) 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))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (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 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt 1)) (/ (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))) 1) (/ (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 (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (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)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt 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 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)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (+ 1.0 x)) (cbrt (sqrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (cbrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (- (sqrt 1.0) (sqrt 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 (+ (pow 1.0 3) (pow x 3)))) (/ (sqrt (- 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x)))) (* (sqrt (+ 1.0 x)) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (expm1 (sqrt (- 1.0 x))) (log1p (sqrt (- 1.0 x))) (log (sqrt (- 1.0 x))) (exp (sqrt (- 1.0 x))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (cbrt (sqrt (- 1.0 x))) (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt 1) (sqrt (- 1.0 x)) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt 1) (sqrt (- 1.0 x)) (sqrt (- (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) (/ 1 2) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (expm1 (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (log1p (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (log (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (exp (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (* (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (sqrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (sqrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (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))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.949 * * [simplify]: iteration 0 : 372 enodes (cost 1291 ) 0.955 * * [simplify]: iteration 1 : 1144 enodes (cost 1218 ) 0.979 * * [simplify]: iteration 2 : 5001 enodes (cost 1156 ) 0.988 * [simplify]: Simplified to: (expm1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (log1p (/ (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)))) (exp (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (pow (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) 3) (* (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)))) (pow (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) 3) (/ (- 1.0 x) (+ x 1.0)) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (- (sqrt (- 1.0 x))) (- (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (cbrt (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))) (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 (sqrt (+ 1.0 x)))) (fabs (cbrt (- 1.0 x))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (fabs (cbrt (- 1.0 x))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (fabs (cbrt (- 1.0 x))) (* (sqrt (sqrt (+ 1.0 x))) 1)) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (fabs (cbrt (- 1.0 x))) (/ (sqrt (cbrt (- 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)))) (/ (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)))) (/ (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)))) (/ (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)))) (/ (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)))) (/ (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)))) (/ (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 (- 1.0 x)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (sqrt (- 1.0 x)) (/ (sqrt (+ 1.0 x)) (cbrt (sqrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (cbrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (- (sqrt 1.0) (sqrt 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)) (hypot (pow x 3/2) (pow 1.0 3/2))) (/ (sqrt (- 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x)))) (* (sqrt (+ 1.0 x)) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (+ 1.0 x) (expm1 (sqrt (- 1.0 x))) (log1p (sqrt (- 1.0 x))) (log (sqrt (- 1.0 x))) (exp (sqrt (- 1.0 x))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (cbrt (sqrt (- 1.0 x))) (pow (sqrt (- 1.0 x)) 3) (fabs (cbrt (- 1.0 x))) (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) 1 (sqrt (- 1.0 x)) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (- (sqrt 1.0) (sqrt x))) 1 (sqrt (- 1.0 x)) (sqrt (- (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x)) 1/2 (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (pow (sqrt (+ 1.0 x)) 3) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (hypot (pow x 3/2) (pow 1.0 3/2)) (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))) (expm1 (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (log1p (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (log (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (exp (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (pow (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) 3) (sqrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (sqrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (- (* 1.0 (/ x (sqrt 1.0))) (sqrt 1.0))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3)))) (/ 1.0 (* x (sqrt -1))))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3)))) (/ 1.0 (* x (sqrt -1))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1/2 (/ x (sqrt 1.0))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.989 * * * [progress]: adding candidates to table 1.234 * * [progress]: iteration 3 / 4 1.234 * * * [progress]: picking best candidate 1.240 * * * * [pick]: Picked # 1.240 * * * [progress]: localizing error 1.253 * * * [progress]: generating rewritten candidates 1.253 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 1.263 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 1.273 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 1.283 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2) 1.295 * * * [progress]: generating series expansions 1.295 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 1.295 * [approximate]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in (x) around 0 1.295 * [taylor]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in x 1.295 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.295 * [taylor]: Taking taylor expansion of 1.0 in x 1.295 * [taylor]: Taking taylor expansion of x in x 1.295 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 1.295 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.295 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.295 * [taylor]: Taking taylor expansion of x in x 1.295 * [taylor]: Taking taylor expansion of 1.0 in x 1.299 * [taylor]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in x 1.300 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.300 * [taylor]: Taking taylor expansion of 1.0 in x 1.300 * [taylor]: Taking taylor expansion of x in x 1.300 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 1.300 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.300 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.300 * [taylor]: Taking taylor expansion of x in x 1.300 * [taylor]: Taking taylor expansion of 1.0 in x 1.334 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in (x) around 0 1.335 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in x 1.335 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.335 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.337 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.337 * [taylor]: Taking taylor expansion of 1.0 in x 1.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.337 * [taylor]: Taking taylor expansion of x in x 1.337 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in x 1.337 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 1.337 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.337 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.337 * [taylor]: Taking taylor expansion of x in x 1.337 * [taylor]: Taking taylor expansion of 1.0 in x 1.339 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.339 * [taylor]: Taking taylor expansion of 1.0 in x 1.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.366 * [approximate]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in (x) around 0 1.366 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 1.366 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.366 * [taylor]: Taking taylor expansion of 1.0 in x 1.366 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.366 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.366 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.366 * [taylor]: Taking taylor expansion of 1.0 in x 1.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.368 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 1.368 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.369 * [taylor]: Taking taylor expansion of 1.0 in x 1.369 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.369 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.369 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.369 * [taylor]: Taking taylor expansion of 1.0 in x 1.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.369 * [taylor]: Taking taylor expansion of x in x 1.390 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 1.391 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in (x) around 0 1.391 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 1.391 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.391 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.391 * [taylor]: Taking taylor expansion of x in x 1.391 * [taylor]: Taking taylor expansion of 1.0 in x 1.394 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 1.394 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.394 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.394 * [taylor]: Taking taylor expansion of 1.0 in x 1.413 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in (x) around 0 1.413 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 1.413 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.413 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.414 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.414 * [taylor]: Taking taylor expansion of x in x 1.414 * [taylor]: Taking taylor expansion of 1.0 in x 1.415 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 1.415 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.415 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of 1.0 in x 1.427 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in (x) around 0 1.427 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.427 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.427 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.427 * [taylor]: Taking taylor expansion of 1.0 in x 1.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.429 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.429 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.429 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.429 * [taylor]: Taking taylor expansion of 1.0 in x 1.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.448 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 1.448 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 x)) (pow (/ 1 (+ x 1.0)) 1/4)) in (x) around 0 1.448 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 x)) (pow (/ 1 (+ x 1.0)) 1/4)) in x 1.448 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 1.448 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.448 * [taylor]: Taking taylor expansion of 1.0 in x 1.448 * [taylor]: Taking taylor expansion of x in x 1.450 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ x 1.0)) 1/4) in x 1.450 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ x 1.0))))) in x 1.450 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ x 1.0)))) in x 1.450 * [taylor]: Taking taylor expansion of 1/4 in x 1.450 * [taylor]: Taking taylor expansion of (log (/ 1 (+ x 1.0))) in x 1.450 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.451 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.451 * [taylor]: Taking taylor expansion of 1.0 in x 1.453 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 x)) (pow (/ 1 (+ x 1.0)) 1/4)) in x 1.453 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 1.453 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.453 * [taylor]: Taking taylor expansion of 1.0 in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ x 1.0)) 1/4) in x 1.455 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ x 1.0))))) in x 1.455 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ x 1.0)))) in x 1.455 * [taylor]: Taking taylor expansion of 1/4 in x 1.455 * [taylor]: Taking taylor expansion of (log (/ 1 (+ x 1.0))) in x 1.455 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.455 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of 1.0 in x 1.563 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (+ (/ 1 x) 1.0)) 1/4) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 1.563 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (+ (/ 1 x) 1.0)) 1/4) (sqrt (- 1.0 (/ 1 x)))) in x 1.563 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (/ 1 x) 1.0)) 1/4) in x 1.563 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (/ 1 x) 1.0))))) in x 1.563 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (/ 1 x) 1.0)))) in x 1.563 * [taylor]: Taking taylor expansion of 1/4 in x 1.563 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (/ 1 x) 1.0))) in x 1.563 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.563 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.563 * [taylor]: Taking taylor expansion of x in x 1.563 * [taylor]: Taking taylor expansion of 1.0 in x 1.564 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.564 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.564 * [taylor]: Taking taylor expansion of 1.0 in x 1.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.565 * [taylor]: Taking taylor expansion of x in x 1.566 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (+ (/ 1 x) 1.0)) 1/4) (sqrt (- 1.0 (/ 1 x)))) in x 1.567 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (/ 1 x) 1.0)) 1/4) in x 1.567 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (/ 1 x) 1.0))))) in x 1.567 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (/ 1 x) 1.0)))) in x 1.567 * [taylor]: Taking taylor expansion of 1/4 in x 1.567 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (/ 1 x) 1.0))) in x 1.567 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.567 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.567 * [taylor]: Taking taylor expansion of x in x 1.567 * [taylor]: Taking taylor expansion of 1.0 in x 1.568 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.568 * [taylor]: Taking taylor expansion of 1.0 in x 1.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.568 * [taylor]: Taking taylor expansion of x in x 1.635 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 x) 1.0)) (pow (/ 1 (- 1.0 (/ 1 x))) 1/4)) in (x) around 0 1.635 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 x) 1.0)) (pow (/ 1 (- 1.0 (/ 1 x))) 1/4)) in x 1.635 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.635 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.636 * [taylor]: Taking taylor expansion of x in x 1.636 * [taylor]: Taking taylor expansion of 1.0 in x 1.637 * [taylor]: Taking taylor expansion of (pow (/ 1 (- 1.0 (/ 1 x))) 1/4) in x 1.637 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (- 1.0 (/ 1 x)))))) in x 1.637 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (- 1.0 (/ 1 x))))) in x 1.637 * [taylor]: Taking taylor expansion of 1/4 in x 1.637 * [taylor]: Taking taylor expansion of (log (/ 1 (- 1.0 (/ 1 x)))) in x 1.637 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.637 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.637 * [taylor]: Taking taylor expansion of 1.0 in x 1.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.637 * [taylor]: Taking taylor expansion of x in x 1.640 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 x) 1.0)) (pow (/ 1 (- 1.0 (/ 1 x))) 1/4)) in x 1.640 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.640 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.640 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.640 * [taylor]: Taking taylor expansion of x in x 1.640 * [taylor]: Taking taylor expansion of 1.0 in x 1.641 * [taylor]: Taking taylor expansion of (pow (/ 1 (- 1.0 (/ 1 x))) 1/4) in x 1.641 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (- 1.0 (/ 1 x)))))) in x 1.642 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (- 1.0 (/ 1 x))))) in x 1.642 * [taylor]: Taking taylor expansion of 1/4 in x 1.642 * [taylor]: Taking taylor expansion of (log (/ 1 (- 1.0 (/ 1 x)))) in x 1.642 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.642 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.642 * [taylor]: Taking taylor expansion of 1.0 in x 1.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.642 * [taylor]: Taking taylor expansion of x in x 1.715 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2) 1.715 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 1.715 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.715 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.715 * [taylor]: Taking taylor expansion of 1.0 in x 1.717 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.717 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.717 * [taylor]: Taking taylor expansion of 1.0 in x 1.726 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 1.726 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.726 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.726 * [taylor]: Taking taylor expansion of x in x 1.727 * [taylor]: Taking taylor expansion of 1.0 in x 1.728 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.728 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.728 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.728 * [taylor]: Taking taylor expansion of x in x 1.728 * [taylor]: Taking taylor expansion of 1.0 in x 1.735 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.736 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.736 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.736 * [taylor]: Taking taylor expansion of 1.0 in x 1.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.736 * [taylor]: Taking taylor expansion of x in x 1.737 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.737 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.737 * [taylor]: Taking taylor expansion of 1.0 in x 1.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.746 * * * [progress]: simplifying candidates 1.749 * [simplify]: Simplifying using # : (expm1 (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (log1p (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (- (log (- 1.0 x)) (log (sqrt (+ 1.0 x)))) (log (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (exp (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (* (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x))))) (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (* (* (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (- (- 1.0 x)) (- (sqrt (+ 1.0 x))) (/ 1.0 (sqrt (+ 1.0 x))) (/ x (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (cbrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt 1)) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt 1)) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 1) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (sqrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (cbrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt 1)) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt 1)) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 1) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt 1)) (/ (- 1.0 x) (sqrt 1)) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) 1) (/ (sqrt (+ 1.0 x)) (cbrt (- 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)) (/ (sqrt (+ 1.0 x)) (- (sqrt 1.0) (sqrt x))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)) (/ (- 1.0 x) (sqrt (+ (pow 1.0 3) (pow x 3)))) (/ (- 1.0 x) (sqrt (- (* 1.0 1.0) (* x x)))) (* (sqrt (+ 1.0 x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (sqrt (+ 1.0 x)) (+ 1.0 x)) (expm1 (/ 1 (sqrt (+ 1.0 x)))) (log1p (/ 1 (sqrt (+ 1.0 x)))) (- 1/2) (- 1) (- (/ 1 2)) (- (log (sqrt (+ 1.0 x)))) (- 0 (log (sqrt (+ 1.0 x)))) (- (log 1) (log (sqrt (+ 1.0 x)))) (log (/ 1 (sqrt (+ 1.0 x)))) (exp (/ 1 (sqrt (+ 1.0 x)))) (/ (* (* 1 1) 1) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (* (cbrt (/ 1 (sqrt (+ 1.0 x)))) (cbrt (/ 1 (sqrt (+ 1.0 x))))) (cbrt (/ 1 (sqrt (+ 1.0 x)))) (* (* (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x)))) (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (- 1) (- (sqrt (+ 1.0 x))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt 1) (cbrt (sqrt (+ 1.0 x)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (cbrt 1) (sqrt (cbrt (+ 1.0 x)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt (+ 1.0 x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt (+ 1.0 x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt (+ 1.0 x))) (/ (sqrt 1) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt 1) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt 1) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ 1 (cbrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ 1 (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt 1)) (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt 1)) (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ 1 1) (/ 1 (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (sqrt (+ 1.0 x)) 1) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ 1 (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt 1)) (/ 1 (sqrt 1)) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ 1 1) (/ (sqrt (+ 1.0 x)) (cbrt 1)) (/ (sqrt (+ 1.0 x)) (sqrt 1)) (/ (sqrt (+ 1.0 x)) 1) (/ 1 (sqrt (+ (pow 1.0 3) (pow x 3)))) (/ 1 (sqrt (- (* 1.0 1.0) (* x x)))) (expm1 (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x))))) (log1p (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x))))) (log (sqrt 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(sqrt x)) (cbrt (sqrt (+ 1.0 x))))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (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)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (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)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (fabs (/ 1 (cbrt (sqrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (sqrt (+ 1.0 x))))) (sqrt (/ 1 (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (sqrt (/ (- 1.0 x) (sqrt (cbrt (+ 1.0 x))))) (sqrt (/ 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 (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 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ (pow 1.0 3) (pow x 3))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (sqrt (/ (- 1.0 x) (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt (sqrt (- 1.0 x))) (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x))) 1/2 (sqrt (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x))))) (sqrt (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x))))) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (pow (sqrt (+ 1.0 x)) 3) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (hypot (pow x 3/2) (pow 1.0 3/2)) (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 (sqrt 1.0) 1.0 (- (* 1.0 (/ (pow x 2) (sqrt 1.0))) (fma x (sqrt 1.0) (fma 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3)) (* 0.5 (/ x (sqrt 1.0))))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (fma 0.5 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (fma 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3)) (* 0.5 (/ x (sqrt 1.0)))))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (fma (pow 1.0 1/4) (+ (sqrt 1.0) (* 0.28125 (* (pow x 2) (sqrt 1.0)))) (- (* 0.125 (* (/ (pow x 2) (sqrt 1.0)) (pow 1.0 1/4))) (fma 1/8 (* (/ (pow x 2) (pow (sqrt 1.0) 3)) (pow 1.0 1/4)) (fma 0.125 (* (* (pow x 2) (sqrt 1.0)) (pow (/ 1 (pow 1.0 7)) 1/4)) (fma 0.25 (* (* x (sqrt 1.0)) (pow 1.0 1/4)) (* 1/2 (* (/ x (sqrt 1.0)) (pow 1.0 1/4)))))))) (fma (- (pow (/ 1 (pow x 5)) 1/4)) +nan.0 (* +nan.0 (- (pow (/ 1 (pow x 9)) 1/4) (pow (/ 1 x) 1/4)))) (fma (- (exp (* 1/4 (+ (log -1) (log (/ -1 x)))))) +nan.0 (* +nan.0 (- (/ (exp (* 1/4 (+ (log -1) (log (/ -1 x))))) (pow x 2)) (/ (exp (* 1/4 (+ (log -1) (log (/ -1 x))))) x)))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) 1.816 * * * [progress]: adding candidates to table 2.227 * * [progress]: iteration 4 / 4 2.227 * * * [progress]: picking best candidate 2.232 * * * * [pick]: Picked # 2.232 * * * [progress]: localizing error 2.243 * * * [progress]: generating rewritten candidates 2.243 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 2.258 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.272 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 2.280 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.292 * * * [progress]: generating series expansions 2.292 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 2.292 * [approximate]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) in (x) around 0 2.292 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) in x 2.292 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 2.292 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.292 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.292 * [taylor]: Taking taylor expansion of 1.0 in x 2.292 * [taylor]: Taking taylor expansion of x in x 2.292 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.292 * [taylor]: Taking taylor expansion of x in x 2.292 * [taylor]: Taking taylor expansion of 1.0 in x 2.298 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) in x 2.298 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 2.298 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.298 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.298 * [taylor]: Taking taylor expansion of 1.0 in x 2.298 * [taylor]: Taking taylor expansion of x in x 2.298 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.298 * [taylor]: Taking taylor expansion of x in x 2.298 * [taylor]: Taking taylor expansion of 1.0 in x 2.357 * [approximate]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) 3) in (x) around 0 2.357 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) 3) in x 2.357 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in x 2.357 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 2.357 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.357 * [taylor]: Taking taylor expansion of 1.0 in x 2.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.357 * [taylor]: Taking taylor expansion of x in x 2.357 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.357 * [taylor]: Taking taylor expansion of 1.0 in x 2.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.358 * [taylor]: Taking taylor expansion of x in x 2.363 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) 3) in x 2.363 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in x 2.363 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 2.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.363 * [taylor]: Taking taylor expansion of 1.0 in x 2.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.363 * [taylor]: Taking taylor expansion of x in x 2.364 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.364 * [taylor]: Taking taylor expansion of 1.0 in x 2.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.364 * [taylor]: Taking taylor expansion of x in x 2.417 * [approximate]: Taking taylor expansion of (pow (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 3) in (x) around 0 2.417 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 3) in x 2.417 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 2.417 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 2.417 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.418 * [taylor]: Taking taylor expansion of x in x 2.418 * [taylor]: Taking taylor expansion of 1.0 in x 2.418 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.418 * [taylor]: Taking taylor expansion of 1.0 in x 2.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.418 * [taylor]: Taking taylor expansion of x in x 2.431 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 3) in x 2.431 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 2.431 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 2.431 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.431 * [taylor]: Taking taylor expansion of x in x 2.431 * [taylor]: Taking taylor expansion of 1.0 in x 2.431 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.431 * [taylor]: Taking taylor expansion of 1.0 in x 2.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.431 * [taylor]: Taking taylor expansion of x in x 2.487 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.487 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 2.487 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 2.487 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.487 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.488 * [taylor]: Taking taylor expansion of 1.0 in x 2.488 * [taylor]: Taking taylor expansion of x in x 2.488 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.488 * [taylor]: Taking taylor expansion of x in x 2.488 * [taylor]: Taking taylor expansion of 1.0 in x 2.492 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 2.493 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.493 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.493 * [taylor]: Taking taylor expansion of 1.0 in x 2.493 * [taylor]: Taking taylor expansion of x in x 2.493 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.493 * [taylor]: Taking taylor expansion of x in x 2.493 * [taylor]: Taking taylor expansion of 1.0 in x 2.520 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in (x) around 0 2.520 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in x 2.520 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 2.520 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.520 * [taylor]: Taking taylor expansion of 1.0 in x 2.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.520 * [taylor]: Taking taylor expansion of x in x 2.521 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.521 * [taylor]: Taking taylor expansion of 1.0 in x 2.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.521 * [taylor]: Taking taylor expansion of x in x 2.526 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in x 2.526 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 2.526 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.526 * [taylor]: Taking taylor expansion of 1.0 in x 2.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.526 * [taylor]: Taking taylor expansion of x in x 2.527 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.527 * [taylor]: Taking taylor expansion of 1.0 in x 2.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.527 * [taylor]: Taking taylor expansion of x in x 2.550 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 2.550 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 2.550 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 2.550 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.550 * [taylor]: Taking taylor expansion of x in x 2.551 * [taylor]: Taking taylor expansion of 1.0 in x 2.551 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.551 * [taylor]: Taking taylor expansion of 1.0 in x 2.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.551 * [taylor]: Taking taylor expansion of x in x 2.557 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 2.557 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 2.557 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.557 * [taylor]: Taking taylor expansion of x in x 2.557 * [taylor]: Taking taylor expansion of 1.0 in x 2.557 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.557 * [taylor]: Taking taylor expansion of 1.0 in x 2.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.557 * [taylor]: Taking taylor expansion of x in x 2.581 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 2.581 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 2.581 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 2.581 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.581 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.581 * [taylor]: Taking taylor expansion of 1.0 in x 2.581 * [taylor]: Taking taylor expansion of x in x 2.581 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.581 * [taylor]: Taking taylor expansion of x in x 2.581 * [taylor]: Taking taylor expansion of 1.0 in x 2.586 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 2.586 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.586 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.586 * [taylor]: Taking taylor expansion of 1.0 in x 2.586 * [taylor]: Taking taylor expansion of x in x 2.586 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.587 * [taylor]: Taking taylor expansion of x in x 2.587 * [taylor]: Taking taylor expansion of 1.0 in x 2.613 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in (x) around 0 2.614 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in x 2.614 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 2.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.614 * [taylor]: Taking taylor expansion of 1.0 in x 2.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.614 * [taylor]: Taking taylor expansion of x in x 2.614 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.614 * [taylor]: Taking taylor expansion of 1.0 in x 2.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.614 * [taylor]: Taking taylor expansion of x in x 2.620 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in x 2.620 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 2.620 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.620 * [taylor]: Taking taylor expansion of 1.0 in x 2.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.620 * [taylor]: Taking taylor expansion of x in x 2.620 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.620 * [taylor]: Taking taylor expansion of 1.0 in x 2.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.620 * [taylor]: Taking taylor expansion of x in x 2.645 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 2.645 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 2.645 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 2.645 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.645 * [taylor]: Taking taylor expansion of x in x 2.646 * [taylor]: Taking taylor expansion of 1.0 in x 2.646 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.646 * [taylor]: Taking taylor expansion of 1.0 in x 2.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.646 * [taylor]: Taking taylor expansion of x in x 2.652 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 2.652 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 2.652 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.652 * [taylor]: Taking taylor expansion of x in x 2.652 * [taylor]: Taking taylor expansion of 1.0 in x 2.652 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.652 * [taylor]: Taking taylor expansion of 1.0 in x 2.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.652 * [taylor]: Taking taylor expansion of x in x 2.676 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.676 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 2.676 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 2.677 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 2.677 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in (x) around 0 2.677 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in x 2.677 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in x 2.678 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 2.678 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 2.678 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 2.678 * * * [progress]: simplifying candidates 2.689 * [simplify]: Simplifying using # : (expm1 (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)) (log1p (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)) (* (log (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (* (log (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (* 1/2 3) (* 1 3) (* (/ 1 2) 3) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt 3)) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 1) (pow (* (cbrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (cbrt (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3) (pow (cbrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (pow (sqrt (* (cbrt (/ (- 1.0 x) (+ x 1.0))) (cbrt (/ (- 1.0 x) (+ x 1.0))))) 3) (pow (sqrt (cbrt (/ (- 1.0 x) (+ 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2))))) (fma 1.0 (/ (pow x 2) (sqrt 1.0)) (- (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))))))) (fma 1.0 (/ (pow x 2) (sqrt 1.0)) (- (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))))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 2.751 * * * [progress]: adding candidates to table 3.069 * [progress]: [Phase 3 of 3] Extracting. 3.070 * * [regime]: Finding splitpoints for: (# # # #) 3.071 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- 1.0 x) (+ 1.0 x)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) x) 3.071 * * * * [regimes]: Trying to branch on (/ (- 1.0 x) (+ 1.0 x)) from (# # # #) 3.092 * * * * [regimes]: Trying to branch on (sqrt (/ (- 1.0 x) (+ 1.0 x))) from (# # # #) 3.109 * * * * [regimes]: Trying to branch on x from (# # # #) 3.126 * * * [regime]: Found split indices: #