0.901 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.272 * * * [progress]: [2/2] Setting up program. 0.276 * [progress]: [Phase 2 of 3] Improving. 0.278 * [simplify]: Simplifying using # : (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.284 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 0.286 * * [simplify]: iteration 1 : 19 enodes (cost 6 ) 0.287 * * [simplify]: iteration 2 : 21 enodes (cost 6 ) 0.288 * * [simplify]: iteration 3 : 21 enodes (cost 6 ) 0.289 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.290 * * [progress]: iteration 1 / 4 0.290 * * * [progress]: picking best candidate 0.293 * * * * [pick]: Picked # 0.293 * * * [progress]: localizing error 0.303 * * * [progress]: generating rewritten candidates 0.303 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.305 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.314 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1) 0.326 * * * [progress]: generating series expansions 0.327 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.331 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.332 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.333 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.334 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.334 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.334 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.335 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.335 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.335 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.336 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.336 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.336 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.336 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.336 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.342 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.342 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.381 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.381 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.381 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.381 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.388 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.388 * [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 0.389 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.413 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.413 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.413 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.414 * [taylor]: Taking taylor expansion of x in x 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 0.420 * [taylor]: Taking taylor expansion of 1.0 in x 0.420 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.420 * [taylor]: Taking taylor expansion of 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 0.446 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1) 0.446 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.446 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.446 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.446 * [taylor]: Taking taylor expansion of 1.0 in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.447 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.459 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.459 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.459 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.459 * [taylor]: Taking taylor expansion of 1.0 in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.461 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.461 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.461 * [taylor]: Taking taylor expansion of 1.0 in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [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 0.471 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.471 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.471 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 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 1.0 in x 0.472 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.472 * [taylor]: Taking taylor expansion of 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 0.473 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 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 0.473 * [taylor]: Taking taylor expansion of 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 0.484 * * * [progress]: simplifying candidates 0.486 * [simplify]: Simplifying using # : (expm1 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (* (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt 1) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (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)) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 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))))) 0.492 * * [simplify]: iteration 0 : 370 enodes (cost 779 ) 0.498 * * [simplify]: iteration 1 : 1128 enodes (cost 734 ) 0.520 * * [simplify]: iteration 2 : 5001 enodes (cost 719 ) 0.526 * [simplify]: Simplified to: (expm1 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ x 1.0)))) (exp (sqrt (/ (- 1.0 x) (+ x 1.0)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (fabs (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (fabs (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) 1/2 (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (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)) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (- (* 1.0 (/ x (sqrt 1.0))) (sqrt 1.0))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3)))) (/ 1.0 (* x (sqrt -1))))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3)))) (/ 1.0 (* x (sqrt -1))))) (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)))) 0.526 * * * [progress]: adding candidates to table 0.726 * * [progress]: iteration 2 / 4 0.726 * * * [progress]: picking best candidate 0.733 * * * * [pick]: Picked # 0.733 * * * [progress]: localizing error 0.742 * * * [progress]: generating rewritten candidates 0.742 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.745 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.755 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.758 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.767 * * * [progress]: generating series expansions 0.767 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.768 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.768 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.768 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.768 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.768 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.768 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.769 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.769 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.769 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.769 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.770 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.770 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.770 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.770 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.770 * [taylor]: Taking taylor expansion of 1.0 in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.770 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.770 * [taylor]: Taking taylor expansion of 1.0 in x 0.779 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.779 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.779 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.779 * [taylor]: Taking taylor expansion of 1.0 in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.779 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.779 * [taylor]: Taking taylor expansion of 1.0 in x 0.802 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.802 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.802 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.802 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.802 * [taylor]: Taking taylor expansion of 1.0 in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of 1.0 in x 0.808 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.808 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.808 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.808 * [taylor]: Taking taylor expansion of 1.0 in x 0.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of 1.0 in x 0.833 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.833 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.833 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.833 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.833 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of 1.0 in x 0.833 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.834 * [taylor]: Taking taylor expansion of 1.0 in x 0.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.834 * [taylor]: Taking taylor expansion of x in x 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 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.869 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.870 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.870 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.870 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of 1.0 in x 0.872 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.872 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of 1.0 in x 0.881 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.881 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.881 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.882 * [taylor]: Taking taylor expansion of 1.0 in x 0.883 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.883 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.884 * [taylor]: Taking taylor expansion of 1.0 in x 0.891 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.892 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.892 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.892 * [taylor]: Taking taylor expansion of 1.0 in x 0.892 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.894 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.894 * [taylor]: Taking taylor expansion of 1.0 in x 0.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.902 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 0.902 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 x)) in (x) around 0 0.902 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 0.902 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.902 * [taylor]: Taking taylor expansion of 1.0 in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 0.904 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.904 * [taylor]: Taking taylor expansion of 1.0 in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.915 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.915 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.915 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.915 * [taylor]: Taking taylor expansion of 1.0 in x 0.915 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.917 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.917 * [taylor]: Taking taylor expansion of 1.0 in x 0.917 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.925 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.925 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of 1.0 in x 0.926 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.927 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 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 0.927 * [taylor]: Taking taylor expansion of 1.0 in x 0.934 * * * [progress]: simplifying candidates 0.936 * [simplify]: Simplifying using # : (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))))) (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 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 (+ (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))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (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))))) (- (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))))) 0.944 * * [simplify]: iteration 0 : 372 enodes (cost 1291 ) 0.950 * * [simplify]: iteration 1 : 1144 enodes (cost 1218 ) 0.973 * * [simplify]: iteration 2 : 5002 enodes (cost 1156 ) 0.980 * [simplify]: Simplified to: (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))))) (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)) 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 (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))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (- (* 1.0 (/ x (sqrt 1.0))) (sqrt 1.0))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3)))) (/ 1.0 (* x (sqrt -1))))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3)))) (/ 1.0 (* x (sqrt -1))))) (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))))) (- (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))))) 0.981 * * * [progress]: adding candidates to table 1.233 * * [progress]: iteration 3 / 4 1.233 * * * [progress]: picking best candidate 1.237 * * * * [pick]: Picked # 1.237 * * * [progress]: localizing error 1.248 * * * [progress]: generating rewritten candidates 1.248 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.250 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.252 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.253 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) 1.264 * * * [progress]: generating series expansions 1.264 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.264 * [approximate]: Taking taylor expansion of (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) in (x) around 0 1.264 * [taylor]: Taking taylor expansion of (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) in x 1.265 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.265 * [taylor]: Taking taylor expansion of (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) in x 1.265 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.276 * [approximate]: Taking taylor expansion of (pow (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 3) in (x) around 0 1.276 * [taylor]: Taking taylor expansion of (pow (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 3) in x 1.276 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in x 1.276 * [taylor]: Taking taylor expansion of (pow (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 3) in x 1.276 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in x 1.292 * [approximate]: Taking taylor expansion of (pow (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 3) in (x) around 0 1.292 * [taylor]: Taking taylor expansion of (pow (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 3) in x 1.292 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.292 * [taylor]: Taking taylor expansion of (pow (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 3) in x 1.292 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.304 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.305 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 1.305 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.305 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.305 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in (x) around 0 1.305 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in x 1.305 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in x 1.306 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 1.306 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.306 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.307 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 1.307 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 1.307 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.307 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.307 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in (x) around 0 1.307 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in x 1.307 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in x 1.308 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 1.308 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.308 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.308 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1) 1.308 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 1.308 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.308 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.308 * [taylor]: Taking taylor expansion of 1.0 in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.309 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.309 * [taylor]: Taking taylor expansion of 1.0 in x 1.310 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.310 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.310 * [taylor]: Taking taylor expansion of 1.0 in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.310 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.310 * [taylor]: Taking taylor expansion of 1.0 in x 1.318 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in (x) around 0 1.318 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 1.318 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.318 * [taylor]: Taking taylor expansion of 1.0 in x 1.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.318 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.318 * [taylor]: Taking taylor expansion of 1.0 in x 1.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.320 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 1.320 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.320 * [taylor]: Taking taylor expansion of 1.0 in x 1.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.320 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.320 * [taylor]: Taking taylor expansion of 1.0 in x 1.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.330 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 1.330 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.330 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [taylor]: Taking taylor expansion of 1.0 in x 1.330 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.330 * [taylor]: Taking taylor expansion of 1.0 in x 1.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.331 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.331 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of 1.0 in x 1.332 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.332 * [taylor]: Taking taylor expansion of 1.0 in x 1.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.342 * * * [progress]: simplifying candidates 1.344 * [simplify]: Simplifying using # : (expm1 (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (log1p (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (* (log (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3) (* (log (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3) (* 1 3) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (* (cbrt 3) (cbrt 3))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (sqrt 3)) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1) (pow (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 3) (pow (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3) (pow (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3) (pow (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3) (pow 1 3) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (* (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (log (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (exp (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (* (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3))) (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (* (* (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (pow (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 3) (pow (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3) (pow (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3) (pow (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3) (pow 1 3) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (* (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (sqrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (sqrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (/ 3 2)) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (/ 3 2)) (expm1 (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3))) (log1p (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3))) (log (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3))) (exp (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3))) (cbrt (pow (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 3)) (cbrt (pow (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3)) (cbrt (pow (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3)) (cbrt (pow (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3)) (cbrt (pow 1 3)) (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (cbrt (* (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (cbrt (* (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)))) (cbrt (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3))) (cbrt (pow (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 3)) (cbrt (pow (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3)) (cbrt (pow (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3)) (cbrt (pow (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) 3)) (cbrt (pow 1 3)) (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (cbrt (* (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) (cbrt (sqrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3))) (cbrt (sqrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3))) (cbrt 1) (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (/ 3 2))) (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (/ 3 2))) (* (cbrt (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3))) (cbrt (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)))) (cbrt (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3))) (* (* (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3))) (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3))) (sqrt (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3))) (sqrt (cbrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3))) (expm1 (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (log (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (exp (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (* (* (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (expm1 (/ (- 1.0 x) (+ x 1.0))) (log1p (/ (- 1.0 x) (+ x 1.0))) (- (log (- 1.0 x)) (log (+ x 1.0))) (log (/ (- 1.0 x) (+ x 1.0))) (exp (/ (- 1.0 x) (+ x 1.0))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (* (cbrt (/ (- 1.0 x) (+ x 1.0))) (cbrt (/ (- 1.0 x) (+ x 1.0)))) (cbrt (/ (- 1.0 x) (+ x 1.0))) (* (* (/ (- 1.0 x) (+ x 1.0)) (/ (- 1.0 x) (+ x 1.0))) (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0))) (- (- 1.0 x)) (- (+ x 1.0)) (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ x 1.0))) (/ (cbrt (- 1.0 x)) (sqrt (+ x 1.0))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ x 1.0)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ x 1.0)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt (- 1.0 x)) (cbrt (+ x 1.0))) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ x 1.0)) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) (/ 1 1) (/ (- 1.0 x) (+ x 1.0)) (/ 1 1) (/ (- 1.0 x) (+ x 1.0)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ x 1.0))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) (/ 1 1) (/ (- 1.0 x) (+ x 1.0)) (/ 1 1) (/ (- 1.0 x) (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (- 1.0 x) (sqrt (+ x 1.0))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- 1.0 x)) (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3))) (/ (- 1.0 x) (- (* x x) (* 1.0 1.0))) (* (+ x 1.0) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ x 1.0) (+ 1.0 x)) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 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)))) (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))))) 1.350 * * [simplify]: iteration 0 : 319 enodes (cost 855 ) 1.356 * * [simplify]: iteration 1 : 1176 enodes (cost 809 ) 1.380 * * [simplify]: iteration 2 : 5001 enodes (cost 800 ) 1.385 * [simplify]: Simplified to: (expm1 (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (log1p (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (log (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (log (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) 3 (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (* (cbrt 3) (cbrt 3))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (sqrt 3)) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 2) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3/2) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3/2) 1 (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 2) (log (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (exp (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 2) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (pow (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) 3) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 2) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3/2) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3/2) 1 (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 2) (sqrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (sqrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3/2) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3/2) (expm1 (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (log (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (exp (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (cbrt (* (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1 (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (cbrt (* (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (cbrt (* (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (cbrt (* (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1 (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (cbrt (* (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) (cbrt (sqrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3))) (cbrt (sqrt (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3))) 1 (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (cbrt (* (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (expm1 (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (log (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (exp (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (cbrt (* (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (expm1 (/ (- 1.0 x) (+ x 1.0))) (log1p (/ (- 1.0 x) (+ x 1.0))) (log (/ (- 1.0 x) (+ x 1.0))) (log (/ (- 1.0 x) (+ x 1.0))) (exp (/ (- 1.0 x) (+ x 1.0))) (pow (/ (- 1.0 x) (+ x 1.0)) 3) (* (cbrt (/ (- 1.0 x) (+ x 1.0))) (cbrt (/ (- 1.0 x) (+ x 1.0)))) (cbrt (/ (- 1.0 x) (+ x 1.0))) (pow (/ (- 1.0 x) (+ x 1.0)) 3) (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0))) (- x 1.0) (- (+ x 1.0)) (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ x 1.0))) (/ (cbrt (- 1.0 x)) (sqrt (+ x 1.0))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ x 1.0)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ x 1.0)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt (- 1.0 x)) (cbrt (+ x 1.0))) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ x 1.0)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) 1 (/ (- 1.0 x) (+ x 1.0)) 1 (/ (- 1.0 x) (+ x 1.0)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ x 1.0))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0)) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) 1 (/ (- 1.0 x) (+ x 1.0)) 1 (/ (- 1.0 x) (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (- 1.0 x) (sqrt (+ x 1.0))) (- 1.0 x) (- 1.0 x) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- 1.0 x)) (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3))) (/ (- 1.0 x) (- (* x x) (* 1.0 1.0))) (* (fma 1.0 1.0 (fma x x (* 1.0 x))) (+ x 1.0)) (* (+ x 1.0) (+ 1.0 x)) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 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)))) (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)))) 1.386 * * * [progress]: adding candidates to table 1.597 * * [progress]: iteration 4 / 4 1.597 * * * [progress]: picking best candidate 1.600 * * * * [pick]: Picked # 1.600 * * * [progress]: localizing error 1.611 * * * [progress]: generating rewritten candidates 1.611 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.612 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.613 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.614 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) 1.628 * * * [progress]: generating series expansions 1.628 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.628 * [approximate]: Taking taylor expansion of (expm1 (log1p (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) in (x) around 0 1.628 * [taylor]: Taking taylor expansion of (expm1 (log1p (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) in x 1.628 * [taylor]: Rewrote expression to (- (exp (log1p (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 1) 1.628 * [taylor]: Taking taylor expansion of (exp (log1p (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) in x 1.628 * [taylor]: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 1.628 * [taylor]: Rewrote expression to (log (+ 1 (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 1.628 * [taylor]: Taking taylor expansion of (+ 1 (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 1.628 * [taylor]: Taking taylor expansion of 1 in x 1.629 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.629 * [taylor]: Taking taylor expansion of 1 in x 1.629 * [taylor]: Taking taylor expansion of (expm1 (log1p (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) in x 1.629 * [taylor]: Rewrote expression to (- (exp (log1p (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 1) 1.629 * [taylor]: Taking taylor expansion of (exp (log1p (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) in x 1.629 * [taylor]: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 1.629 * [taylor]: Rewrote expression to (log (+ 1 (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 1.629 * [taylor]: Taking taylor expansion of (+ 1 (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 1.629 * [taylor]: Taking taylor expansion of 1 in x 1.629 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.630 * [taylor]: Taking taylor expansion of 1 in x 1.666 * [approximate]: Taking taylor expansion of (expm1 (log1p (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) in (x) around 0 1.666 * [taylor]: Taking taylor expansion of (expm1 (log1p (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) in x 1.666 * [taylor]: Rewrote expression to (- (exp (log1p (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) 1) 1.666 * [taylor]: Taking taylor expansion of (exp (log1p (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) in x 1.666 * [taylor]: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 1.667 * [taylor]: Rewrote expression to (log (+ 1 (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) 1.667 * [taylor]: Taking taylor expansion of (+ 1 (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 1.667 * [taylor]: Taking taylor expansion of 1 in x 1.667 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.667 * [taylor]: Taking taylor expansion of 1 in x 1.667 * [taylor]: Taking taylor expansion of (expm1 (log1p (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) in x 1.667 * [taylor]: Rewrote expression to (- (exp (log1p (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) 1) 1.667 * [taylor]: Taking taylor expansion of (exp (log1p (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) in x 1.667 * [taylor]: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 1.667 * [taylor]: Rewrote expression to (log (+ 1 (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) 1.667 * [taylor]: Taking taylor expansion of (+ 1 (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 1.667 * [taylor]: Taking taylor expansion of 1 in x 1.667 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.668 * [taylor]: Taking taylor expansion of 1 in x 1.708 * [approximate]: Taking taylor expansion of (expm1 (log1p (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) in (x) around 0 1.708 * [taylor]: Taking taylor expansion of (expm1 (log1p (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) in x 1.708 * [taylor]: Rewrote expression to (- (exp (log1p (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) 1) 1.708 * [taylor]: Taking taylor expansion of (exp (log1p (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) in x 1.709 * [taylor]: Taking taylor expansion of (log1p (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 1.709 * [taylor]: Rewrote expression to (log (+ 1 (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) 1.709 * [taylor]: Taking taylor expansion of (+ 1 (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 1.709 * [taylor]: Taking taylor expansion of 1 in x 1.709 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.709 * [taylor]: Taking taylor expansion of 1 in x 1.709 * [taylor]: Taking taylor expansion of (expm1 (log1p (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) in x 1.709 * [taylor]: Rewrote expression to (- (exp (log1p (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) 1) 1.709 * [taylor]: Taking taylor expansion of (exp (log1p (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) in x 1.709 * [taylor]: Taking taylor expansion of (log1p (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 1.709 * [taylor]: Rewrote expression to (log (+ 1 (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) 1.709 * [taylor]: Taking taylor expansion of (+ 1 (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 1.709 * [taylor]: Taking taylor expansion of 1 in x 1.709 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.710 * [taylor]: Taking taylor expansion of 1 in x 1.746 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.746 * [approximate]: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) in (x) around 0 1.746 * [taylor]: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 1.746 * [taylor]: Rewrote expression to (log (+ 1 (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 1.746 * [taylor]: Taking taylor expansion of (+ 1 (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 1.746 * [taylor]: Taking taylor expansion of 1 in x 1.747 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.747 * [taylor]: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 1.747 * [taylor]: Rewrote expression to (log (+ 1 (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) 1.747 * [taylor]: Taking taylor expansion of (+ 1 (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 1.747 * [taylor]: Taking taylor expansion of 1 in x 1.747 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.770 * [approximate]: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in (x) around 0 1.770 * [taylor]: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 1.770 * [taylor]: Rewrote expression to (log (+ 1 (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) 1.770 * [taylor]: Taking taylor expansion of (+ 1 (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 1.770 * [taylor]: Taking taylor expansion of 1 in x 1.770 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.770 * [taylor]: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 1.770 * [taylor]: Rewrote expression to (log (+ 1 (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))))) 1.770 * [taylor]: Taking taylor expansion of (+ 1 (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 1.770 * [taylor]: Taking taylor expansion of 1 in x 1.770 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.798 * [approximate]: Taking taylor expansion of (log1p (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in (x) around 0 1.798 * [taylor]: Taking taylor expansion of (log1p (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 1.798 * [taylor]: Rewrote expression to (log (+ 1 (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) 1.798 * [taylor]: Taking taylor expansion of (+ 1 (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 1.798 * [taylor]: Taking taylor expansion of 1 in x 1.798 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.799 * [taylor]: Taking taylor expansion of (log1p (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 1.799 * [taylor]: Rewrote expression to (log (+ 1 (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))))) 1.799 * [taylor]: Taking taylor expansion of (+ 1 (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 1.799 * [taylor]: Taking taylor expansion of 1 in x 1.799 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.822 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 1.822 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 1.822 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.823 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.823 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 1.823 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.823 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.824 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 1.824 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.824 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.824 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1) 1.824 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 1.824 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.824 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.824 * [taylor]: Taking taylor expansion of 1.0 in x 1.824 * [taylor]: Taking taylor expansion of x in x 1.824 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.824 * [taylor]: Taking taylor expansion of x in x 1.824 * [taylor]: Taking taylor expansion of 1.0 in x 1.826 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.826 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.826 * [taylor]: Taking taylor expansion of 1.0 in x 1.826 * [taylor]: Taking taylor expansion of x in x 1.826 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.826 * [taylor]: Taking taylor expansion of x in x 1.826 * [taylor]: Taking taylor expansion of 1.0 in x 1.834 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 1.834 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.834 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.834 * [taylor]: Taking taylor expansion of 1.0 in x 1.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.834 * [taylor]: Taking taylor expansion of x in x 1.834 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.834 * [taylor]: Taking taylor expansion of x in x 1.834 * [taylor]: Taking taylor expansion of 1.0 in x 1.835 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.835 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.835 * [taylor]: Taking taylor expansion of 1.0 in x 1.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.835 * [taylor]: Taking taylor expansion of x in x 1.836 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.836 * [taylor]: Taking taylor expansion of x in x 1.836 * [taylor]: Taking taylor expansion of 1.0 in x 1.845 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 1.845 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.845 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.845 * [taylor]: Taking taylor expansion of x in x 1.846 * [taylor]: Taking taylor expansion of 1.0 in x 1.846 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.846 * [taylor]: Taking taylor expansion of 1.0 in x 1.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.846 * [taylor]: Taking taylor expansion of x in x 1.847 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.847 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.847 * [taylor]: Taking taylor expansion of x in x 1.847 * [taylor]: Taking taylor expansion of 1.0 in x 1.848 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.848 * [taylor]: Taking taylor expansion of 1.0 in x 1.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.848 * [taylor]: Taking taylor expansion of x in x 1.858 * * * [progress]: simplifying candidates 1.859 * [simplify]: Simplifying using # : (exp (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (expm1 (expm1 (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (log1p (expm1 (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (log (expm1 (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (exp (expm1 (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (* (cbrt (expm1 (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (cbrt (expm1 (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))))) (cbrt (expm1 (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (* (* (expm1 (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (expm1 (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (expm1 (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (sqrt (expm1 (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (sqrt (expm1 (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (+ 1 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (expm1 (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (log1p (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (log (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (exp (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (* (cbrt (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (cbrt (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (* (* (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (sqrt (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (sqrt (log1p (atan (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)) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (log (+ (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1)) (log (+ (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1)) (log (+ (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 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)))) (- (+ (* 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))))) 1.864 * * [simplify]: iteration 0 : 267 enodes (cost 606 ) 1.869 * * [simplify]: iteration 1 : 753 enodes (cost 553 ) 1.882 * * [simplify]: iteration 2 : 3245 enodes (cost 549 ) 1.950 * * [simplify]: iteration 3 : 5002 enodes (cost 546 ) 1.954 * [simplify]: Simplified to: (+ (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1) (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) (+ 1.0 x)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (+ (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (log (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (+ (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1) (* (cbrt (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (cbrt (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (pow (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 3) (sqrt (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (sqrt (log1p (atan (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) (+ 1.0 x)))) 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) (+ x 1.0)) 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) (+ x 1.0)) 3) (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0))) (- (- 1.0 x)) (- (+ 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) (+ x 1.0)) 1 (/ (- 1.0 x) (+ x 1.0)) (/ (+ (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) (+ x 1.0)) 1 (/ (- 1.0 x) (+ x 1.0)) (/ 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)) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (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)))) (fma 2.0 (- (pow x 2) x) 1.0) (fma (/ 1 x) (- 2.0 (/ 2.0 x)) (- 1)) (fma (/ 1 x) (- 2.0 (/ 2.0 x)) (- 1)) 1.954 * * * [progress]: adding candidates to table 2.139 * [progress]: [Phase 3 of 3] Extracting. 2.139 * * [regime]: Finding splitpoints for: (# # #) 2.140 * * * [regime-changes]: Trying 4 branch expressions: ((/ (- 1.0 x) (+ 1.0 x)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) x) 2.140 * * * * [regimes]: Trying to branch on (/ (- 1.0 x) (+ 1.0 x)) from (# # #) 2.154 * * * * [regimes]: Trying to branch on (sqrt (/ (- 1.0 x) (+ 1.0 x))) from (# # #) 2.169 * * * * [regimes]: Trying to branch on (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) from (# # #) 2.189 * * * * [regimes]: Trying to branch on x from (# # #) 2.204 * * * [regime]: Found split indices: #