0.895 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.291 * * * [progress]: [2/2] Setting up program. 0.295 * [progress]: [Phase 2 of 3] Improving. 0.297 * [simplify]: Simplifying using # : (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.301 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 0.303 * * [simplify]: iteration 1 : 19 enodes (cost 6 ) 0.304 * * [simplify]: iteration 2 : 21 enodes (cost 6 ) 0.305 * * [simplify]: iteration 3 : 21 enodes (cost 6 ) 0.306 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.307 * * [progress]: iteration 1 / 4 0.307 * * * [progress]: picking best candidate 0.309 * * * * [pick]: Picked # 0.310 * * * [progress]: localizing error 0.320 * * * [progress]: generating rewritten candidates 0.320 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.331 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.339 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.344 * * * [progress]: generating series expansions 0.344 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.348 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.349 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.349 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [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 0.351 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.351 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.361 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.361 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.363 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.363 * [taylor]: Taking taylor expansion of 1.0 in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of 1.0 in x 0.373 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.373 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.396 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.396 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.396 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.396 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.396 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.396 * [taylor]: Taking taylor expansion of 1.0 in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.401 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.401 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.401 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.424 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.424 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.424 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.430 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.430 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.455 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.455 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.461 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.462 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.489 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.490 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.490 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.491 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.491 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.491 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.492 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.492 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.492 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.492 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.493 * * * [progress]: simplifying candidates 0.495 * [simplify]: Simplifying using # : (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (- (log (- 1.0 x)) (log (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (expm1 (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))))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.500 * * [simplify]: iteration 0 : 370 enodes (cost 779 ) 0.506 * * [simplify]: iteration 1 : 1128 enodes (cost 734 ) 0.529 * * [simplify]: iteration 2 : 5001 enodes (cost 719 ) 0.534 * [simplify]: Simplified to: (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0))) (- x 1.0) (- (+ 1.0 x)) (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (- 1.0 x) (- 1.0 x) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (fma 1.0 1.0 (fma x x (* 1.0 x))) (+ 1.0 x)) (* (+ 1.0 x) (+ 1.0 x)) (expm1 (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))))) (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)))) (- (* (/ (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)))) 0.534 * * * [progress]: adding candidates to table 0.771 * * [progress]: iteration 2 / 4 0.771 * * * [progress]: picking best candidate 0.773 * * * * [pick]: Picked # 0.773 * * * [progress]: localizing error 0.784 * * * [progress]: generating rewritten candidates 0.784 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.796 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.809 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) 0.818 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 0.842 * * * [progress]: generating series expansions 0.842 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.842 * [approximate]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) in (x) around 0 0.842 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) in x 0.842 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.842 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.842 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.842 * [taylor]: Taking taylor expansion of 1.0 in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of 1.0 in x 0.848 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) in x 0.848 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.848 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.848 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.848 * [taylor]: Taking taylor expansion of 1.0 in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of 1.0 in x 0.901 * [approximate]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) 3) in (x) around 0 0.901 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) 3) in x 0.901 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in x 0.901 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 0.901 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.901 * [taylor]: Taking taylor expansion of 1.0 in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.901 * [taylor]: Taking taylor expansion of 1.0 in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) 3) in x 0.907 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in x 0.907 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 0.907 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.907 * [taylor]: Taking taylor expansion of 1.0 in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.908 * [taylor]: Taking taylor expansion of 1.0 in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.965 * [approximate]: Taking taylor expansion of (pow (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 3) in (x) around 0 0.965 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 3) in x 0.965 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.965 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.965 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of 1.0 in x 0.965 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.965 * [taylor]: Taking taylor expansion of 1.0 in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 3) in x 0.971 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.971 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.971 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of 1.0 in x 0.972 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.972 * [taylor]: Taking taylor expansion of 1.0 in x 0.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.972 * [taylor]: Taking taylor expansion of x in x 1.030 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.031 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.031 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.031 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.031 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.031 * [taylor]: Taking taylor expansion of 1.0 in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of 1.0 in x 1.036 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.036 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.036 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.036 * [taylor]: Taking taylor expansion of 1.0 in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of 1.0 in x 1.057 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in (x) around 0 1.057 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in x 1.057 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 1.057 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.057 * [taylor]: Taking taylor expansion of 1.0 in x 1.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.058 * [taylor]: Taking taylor expansion of 1.0 in x 1.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.063 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in x 1.063 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 1.063 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.063 * [taylor]: Taking taylor expansion of 1.0 in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.064 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.064 * [taylor]: Taking taylor expansion of 1.0 in x 1.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.064 * [taylor]: Taking taylor expansion of x in x 1.091 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.091 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.091 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.091 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of 1.0 in x 1.091 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.091 * [taylor]: Taking taylor expansion of 1.0 in x 1.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.097 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.097 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of 1.0 in x 1.097 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.097 * [taylor]: Taking taylor expansion of 1.0 in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.121 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1) 1.121 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 1.121 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.121 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.121 * [taylor]: Taking taylor expansion of 1.0 in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of 1.0 in x 1.122 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.122 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.122 * [taylor]: Taking taylor expansion of 1.0 in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of 1.0 in x 1.130 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in (x) around 0 1.130 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 1.130 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.130 * [taylor]: Taking taylor expansion of 1.0 in x 1.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.130 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.130 * [taylor]: Taking taylor expansion of 1.0 in x 1.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.131 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 1.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.131 * [taylor]: Taking taylor expansion of 1.0 in x 1.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.132 * [taylor]: Taking taylor expansion of x in x 1.132 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.132 * [taylor]: Taking taylor expansion of 1.0 in x 1.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.132 * [taylor]: Taking taylor expansion of x in x 1.141 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 1.141 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.141 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.141 * [taylor]: Taking taylor expansion of x in x 1.142 * [taylor]: Taking taylor expansion of 1.0 in x 1.142 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.142 * [taylor]: Taking taylor expansion of 1.0 in x 1.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.143 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of 1.0 in x 1.144 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.144 * [taylor]: Taking taylor expansion of 1.0 in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.154 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 1.154 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.154 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.154 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.154 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.159 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.159 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.159 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.159 * [taylor]: Taking taylor expansion of 1.0 in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.159 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.159 * [taylor]: Taking taylor expansion of 1.0 in x 1.183 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in (x) around 0 1.183 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in x 1.183 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 1.183 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.183 * [taylor]: Taking taylor expansion of 1.0 in x 1.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.184 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.184 * [taylor]: Taking taylor expansion of 1.0 in x 1.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.189 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in x 1.189 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 1.189 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.189 * [taylor]: Taking taylor expansion of 1.0 in x 1.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.189 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.190 * [taylor]: Taking taylor expansion of 1.0 in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.213 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.213 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.213 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.213 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.213 * [taylor]: Taking taylor expansion of 1.0 in x 1.213 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.213 * [taylor]: Taking taylor expansion of 1.0 in x 1.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.219 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.219 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.219 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.219 * [taylor]: Taking taylor expansion of x in x 1.219 * [taylor]: Taking taylor expansion of 1.0 in x 1.219 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.219 * [taylor]: Taking taylor expansion of 1.0 in x 1.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.219 * [taylor]: Taking taylor expansion of x in x 1.243 * * * [progress]: simplifying candidates 1.252 * [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) 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2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 1.264 * * [simplify]: iteration 0 : 723 enodes (cost 2268 ) 1.275 * * [simplify]: iteration 1 : 2480 enodes (cost 2125 ) 1.312 * * [simplify]: iteration 2 : 5001 enodes (cost 2091 ) 1.322 * [simplify]: Simplified to: (expm1 (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)) (log1p (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)) (log (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)) (log (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)) 3/2 3 3/2 (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt 3)) (sqrt (/ (- 1.0 x) (+ x 1.0))) (/ (- 1.0 x) (+ x 1.0)) (sqrt (/ (- 1.0 x) (+ x 1.0))) (pow (fabs (cbrt (/ (- 1.0 x) (+ x 1.0)))) 3) (pow (sqrt (cbrt (/ (- 1.0 x) (+ x 1.0)))) 3) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3/2) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3/2) (pow (fabs (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0)))) 3) (pow (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0)))) 3) (pow (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 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(* x x) (* 1.0 1.0)))) (sqrt (- x 1.0)) (sqrt (- 1.0 x)) (sqrt (+ x 1.0)) 1/2 (sqrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (sqrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (fma (sqrt 1.0) (+ (* 3.0 (pow x 2)) 1.0) (- (* 1.5 (/ (pow x 2) (sqrt 1.0))) (* 3.0 (* x (sqrt 1.0))))) (fma 1.5 (/ 1 (* (pow x 2) (sqrt -1))) (- (fma 3.0 (/ (sqrt -1) x) (pow (sqrt -1) 3)) (* 3.0 (/ (sqrt -1) (pow x 2))))) (fma 1.5 (/ 1 (* (pow x 2) (sqrt -1))) (- (fma 3.0 (/ (sqrt -1) x) (pow (sqrt -1) 3)) (* 3.0 (/ (sqrt -1) (pow x 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 (pow x 2) 2.0 (- 1.0 (* 2.0 x))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (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))))))) 1.324 * * * [progress]: adding candidates to table 1.811 * [progress]: [Phase 3 of 3] Extracting. 1.812 * * [regime]: Finding splitpoints for: (# #) 1.813 * * * [regime-changes]: Trying 5 branch expressions: ((/ (- 1.0 x) (+ 1.0 x)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) x) 1.813 * * * * [regimes]: Trying to branch on (/ (- 1.0 x) (+ 1.0 x)) from (# #) 1.824 * * * * [regimes]: Trying to branch on (sqrt (/ (- 1.0 x) (+ 1.0 x))) from (# #) 1.839 * * * * [regimes]: Trying to branch on (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) from (# #) 1.852 * * * * [regimes]: Trying to branch on (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) from (# #) 1.867 * * * * [regimes]: Trying to branch on x from (# #) 1.880 * * * [regime]: Found split indices: #