0.901 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.280 * * * [progress]: [2/2] Setting up program. 0.284 * [progress]: [Phase 2 of 3] Improving. 0.286 * [simplify]: Simplifying using # : (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.292 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 0.293 * * [simplify]: iteration 1 : 19 enodes (cost 6 ) 0.294 * * [simplify]: iteration 2 : 21 enodes (cost 6 ) 0.296 * * [simplify]: iteration 3 : 21 enodes (cost 6 ) 0.296 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.298 * * [progress]: iteration 1 / 4 0.298 * * * [progress]: picking best candidate 0.300 * * * * [pick]: Picked # 0.300 * * * [progress]: localizing error 0.310 * * * [progress]: generating rewritten candidates 0.310 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.312 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 1) 0.324 * * * [progress]: generating series expansions 0.324 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.329 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.330 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.331 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.332 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.332 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.332 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.332 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.332 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.332 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.333 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 1) 0.333 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.333 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.333 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of 1.0 in x 0.335 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.335 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.344 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.344 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.346 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.356 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.373 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.383 * * * [progress]: simplifying candidates 0.384 * [simplify]: Simplifying using # : (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))))) (- (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)))) (- (+ (* 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))))) 0.389 * * [simplify]: iteration 0 : 233 enodes (cost 384 ) 0.393 * * [simplify]: iteration 1 : 688 enodes (cost 359 ) 0.405 * * [simplify]: iteration 2 : 3022 enodes (cost 356 ) 0.475 * * [simplify]: iteration 3 : 5002 enodes (cost 356 ) 0.477 * [simplify]: Simplified to: (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))))) (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))) (* (+ (* x (+ x 1.0)) (* 1.0 1.0)) (+ 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)))) (+ 1.0 (* 2.0 (- (pow x 2) x))) (- (/ 2.0 x) (- 1 (/ (- 2.0) (pow x 2)))) (- (/ 2.0 x) (- 1 (/ (- 2.0) (pow x 2)))) 0.478 * * * [progress]: adding candidates to table 0.579 * * [progress]: iteration 2 / 4 0.579 * * * [progress]: picking best candidate 0.586 * * * * [pick]: Picked # 0.586 * * * [progress]: localizing error 0.597 * * * [progress]: generating rewritten candidates 0.597 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.610 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 0.620 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.620 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) 0.638 * * * [progress]: generating series expansions 0.638 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.638 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.638 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.638 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.638 * [taylor]: Taking taylor expansion of 1.0 in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of 1.0 in x 0.639 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.639 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.639 * [taylor]: Taking taylor expansion of 1.0 in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [taylor]: Taking taylor expansion of 1.0 in x 0.647 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in (x) around 0 0.647 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 0.647 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.647 * [taylor]: Taking taylor expansion of 1.0 in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.648 * [taylor]: Taking taylor expansion of 1.0 in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 0.649 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.649 * [taylor]: Taking taylor expansion of 1.0 in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.649 * [taylor]: Taking taylor expansion of 1.0 in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.658 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.658 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of 1.0 in x 0.659 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.659 * [taylor]: Taking taylor expansion of 1.0 in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.660 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of 1.0 in x 0.660 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.660 * [taylor]: Taking taylor expansion of 1.0 in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.670 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 0.670 * [approximate]: Taking taylor expansion of (pow (/ (- 1.0 x) (+ x 1.0)) 3) in (x) around 0 0.670 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 x) (+ x 1.0)) 3) in x 0.670 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.670 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.670 * [taylor]: Taking taylor expansion of 1.0 in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.670 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of 1.0 in x 0.672 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 x) (+ x 1.0)) 3) in x 0.672 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.672 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.672 * [taylor]: Taking taylor expansion of 1.0 in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of 1.0 in x 0.692 * [approximate]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) 3) in (x) around 0 0.692 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) 3) in x 0.692 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 0.692 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.692 * [taylor]: Taking taylor expansion of 1.0 in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.693 * [taylor]: Taking taylor expansion of 1.0 in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) 3) in x 0.694 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 0.694 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.694 * [taylor]: Taking taylor expansion of 1.0 in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.694 * [taylor]: Taking taylor expansion of 1.0 in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.710 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 3) in (x) around 0 0.711 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 3) in x 0.711 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of 1.0 in x 0.711 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.711 * [taylor]: Taking taylor expansion of 1.0 in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 3) in x 0.712 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.712 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of 1.0 in x 0.712 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.713 * [taylor]: Taking taylor expansion of 1.0 in x 0.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.731 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.731 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.731 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.731 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.731 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in (x) around 0 0.731 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in x 0.732 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in x 0.732 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.732 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.732 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.733 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1) 0.733 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.733 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.733 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.733 * [taylor]: Taking taylor expansion of 1.0 in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of 1.0 in x 0.734 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.734 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.734 * [taylor]: Taking taylor expansion of 1.0 in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of 1.0 in x 0.741 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in (x) around 0 0.741 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 0.741 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.742 * [taylor]: Taking taylor expansion of 1.0 in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.742 * [taylor]: Taking taylor expansion of 1.0 in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 0.743 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.743 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.743 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.753 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.753 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of 1.0 in x 0.753 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.753 * [taylor]: Taking taylor expansion of 1.0 in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.754 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.754 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.754 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of 1.0 in x 0.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.755 * [taylor]: Taking taylor expansion of 1.0 in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.769 * * * [progress]: simplifying candidates 0.773 * [simplify]: Simplifying using # : (log (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))) (exp (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))) (cbrt (pow (* (cbrt (/ (- 1.0 x) (+ x 1.0))) (cbrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (cbrt (pow (cbrt (/ (- 1.0 x) (+ x 1.0))) 3)) (cbrt (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)) (cbrt (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)) (cbrt (pow (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) 3)) (cbrt (pow (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0))) 3)) (cbrt (pow (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ x 1.0))) 3)) (cbrt (pow (/ (cbrt (- 1.0 x)) (sqrt (+ x 1.0))) 3)) (cbrt (pow (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) 3)) (cbrt (pow (/ (cbrt (- 1.0 x)) (+ x 1.0)) 3)) (cbrt (pow (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) 3)) (cbrt (pow (/ (cbrt (- 1.0 x)) (+ x 1.0)) 3)) (cbrt (pow (/ (sqrt (- 1.0 x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) 3)) (cbrt (pow (/ (sqrt (- 1.0 x)) (cbrt (+ x 1.0))) 3)) (cbrt (pow (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) 3)) (cbrt (pow (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) 3)) (cbrt (pow (/ (sqrt (- 1.0 x)) 1) 3)) (cbrt (pow (/ (sqrt (- 1.0 x)) (+ x 1.0)) 3)) (cbrt (pow (/ (sqrt (- 1.0 x)) 1) 3)) (cbrt (pow (/ (sqrt (- 1.0 x)) (+ x 1.0)) 3)) (cbrt (pow (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) 3)) (cbrt (pow (/ (- 1.0 x) (cbrt (+ x 1.0))) 3)) (cbrt (pow (/ 1 (sqrt (+ x 1.0))) 3)) (cbrt (pow (/ (- 1.0 x) (sqrt (+ x 1.0))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3)) (cbrt (pow (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) 3)) (cbrt (pow (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ x 1.0))) 3)) (cbrt (pow (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0))) 3)) (cbrt (pow (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0))) 3)) (cbrt (pow (/ (+ (sqrt 1.0) (sqrt x)) 1) 3)) (cbrt (pow (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0)) 3)) (cbrt (pow (/ (+ (sqrt 1.0) (sqrt x)) 1) 3)) (cbrt (pow (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0)) 3)) (cbrt (pow (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) 3)) (cbrt (pow (/ (- 1.0 x) (cbrt (+ x 1.0))) 3)) (cbrt (pow (/ 1 (sqrt (+ x 1.0))) 3)) (cbrt (pow (/ (- 1.0 x) (sqrt (+ x 1.0))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3)) (cbrt (pow 1 3)) (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3)) (cbrt (pow (- 1.0 x) 3)) (cbrt (pow (/ 1 (+ x 1.0)) 3)) (cbrt (pow (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3))) 3)) (cbrt (pow (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) 3)) (cbrt (pow (/ (- 1.0 x) (- (* x x) (* 1.0 1.0))) 3)) (cbrt (pow (- x 1.0) 3)) (cbrt (* (/ (- 1.0 x) (+ x 1.0)) (/ (- 1.0 x) (+ x 1.0)))) (cbrt (/ (- 1.0 x) (+ x 1.0))) (cbrt (* (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3)) (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3)))) (cbrt (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))) (cbrt (pow (* (cbrt (/ (- 1.0 x) (+ x 1.0))) (cbrt (/ (- 1.0 x) (+ x 1.0)))) 3)) (cbrt (pow (cbrt (/ (- 1.0 x) (+ x 1.0))) 3)) (cbrt (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)) (cbrt (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)) (cbrt (pow (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) 3)) (cbrt (pow (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0))) 3)) (cbrt (pow (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ x 1.0))) 3)) (cbrt (pow (/ (cbrt (- 1.0 x)) (sqrt (+ x 1.0))) 3)) (cbrt (pow (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) 3)) (cbrt (pow (/ (cbrt (- 1.0 x)) (+ x 1.0)) 3)) (cbrt (pow (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) 3)) (cbrt (pow (/ (cbrt (- 1.0 x)) (+ x 1.0)) 3)) (cbrt (pow (/ (sqrt (- 1.0 x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) 3)) (cbrt (pow (/ (sqrt (- 1.0 x)) (cbrt (+ x 1.0))) 3)) (cbrt (pow (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) 3)) (cbrt (pow (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) 3)) (cbrt (pow (/ (sqrt (- 1.0 x)) 1) 3)) (cbrt (pow (/ (sqrt (- 1.0 x)) (+ x 1.0)) 3)) (cbrt (pow (/ (sqrt (- 1.0 x)) 1) 3)) (cbrt (pow (/ (sqrt (- 1.0 x)) (+ x 1.0)) 3)) (cbrt (pow (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) 3)) (cbrt (pow (/ (- 1.0 x) (cbrt (+ x 1.0))) 3)) (cbrt (pow (/ 1 (sqrt (+ x 1.0))) 3)) (cbrt (pow (/ (- 1.0 x) (sqrt (+ x 1.0))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3)) (cbrt (pow (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) 3)) (cbrt (pow (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ x 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1.0)) (/ (- 1.0 x) (+ x 1.0)))) (cbrt (sqrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))) (cbrt (sqrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))) (cbrt 1) (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3)) (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) (/ 3 2))) (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) (/ 3 2))) (cbrt (pow (- 1.0 x) 3)) (cbrt (pow (+ x 1.0) 3)) (* (cbrt (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))) (cbrt (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3)))) (cbrt (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))) (* (* (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3)) (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))) (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))) (sqrt (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))) (sqrt (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))) (* (- (log (- 1.0 x)) (log (+ x 1.0))) 3) (* (log (/ (- 1.0 x) (+ x 1.0))) 3) (* (log (/ (- 1.0 x) (+ x 1.0))) 3) (* 1 3) (pow (/ (- 1.0 x) (+ x 1.0)) (* (cbrt 3) (cbrt 3))) (pow (/ (- 1.0 x) (+ x 1.0)) (sqrt 3)) (pow (/ (- 1.0 x) (+ x 1.0)) 1) (pow (* (cbrt (/ (- 1.0 x) (+ x 1.0))) (cbrt (/ (- 1.0 x) (+ x 1.0)))) 3) (pow (cbrt 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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))) (- (- 1.0 x)) (- (+ x 1.0)) (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)) (cbrt (* (/ (- 1.0 x) (+ x 1.0)) (/ (- 1.0 x) (+ x 1.0)))) (cbrt (/ (- 1.0 x) (+ 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))) (* (+ (* x (+ x 1.0)) (* 1.0 1.0)) (+ x 1.0)) (* (+ x 1.0) (+ 1.0 x)) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (+ (* 18.0 (pow x 2)) 1.0) (* 6.0 x)) (- (* 6.0 (/ 1 x)) (+ 1 (* 18.0 (/ 1 (pow x 2))))) (- (* 6.0 (/ 1 x)) (+ 1 (* 18.0 (/ 1 (pow x 2))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (- (+ (* 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))))) 0.844 * * * [progress]: adding candidates to table 1.115 * * [progress]: iteration 3 / 4 1.115 * * * [progress]: picking best candidate 1.119 * * * * [pick]: Picked # 1.119 * * * [progress]: localizing error 1.131 * * * [progress]: generating rewritten candidates 1.131 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.133 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.135 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) 1.143 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.146 * * * [progress]: generating series expansions 1.146 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.147 * [approximate]: Taking taylor expansion of (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) in (x) around 0 1.147 * [taylor]: Taking taylor expansion of (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) in x 1.147 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.147 * [taylor]: Taking taylor expansion of (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) in x 1.147 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.157 * [approximate]: Taking taylor expansion of (pow (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 3) in (x) around 0 1.157 * [taylor]: Taking taylor expansion of (pow (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 3) in x 1.157 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in x 1.157 * [taylor]: Taking taylor expansion of (pow (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 3) in x 1.157 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in x 1.168 * [approximate]: Taking taylor expansion of (pow (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 3) in (x) around 0 1.168 * [taylor]: Taking taylor expansion of (pow (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 3) in x 1.168 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.169 * [taylor]: Taking taylor expansion of (pow (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 3) in x 1.169 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.180 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.180 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 1.180 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.180 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.180 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in (x) around 0 1.180 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in x 1.181 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in x 1.181 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 1.181 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.181 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.182 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1) 1.182 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 1.182 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.182 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.182 * [taylor]: Taking taylor expansion of 1.0 in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.182 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.182 * [taylor]: Taking taylor expansion of 1.0 in x 1.183 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.183 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.183 * [taylor]: Taking taylor expansion of 1.0 in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of 1.0 in x 1.194 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in (x) around 0 1.194 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 1.194 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.194 * [taylor]: Taking taylor expansion of 1.0 in x 1.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.195 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.195 * [taylor]: Taking taylor expansion of 1.0 in x 1.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.196 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 1.196 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.196 * [taylor]: Taking taylor expansion of 1.0 in x 1.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.196 * [taylor]: Taking taylor expansion of x in x 1.196 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.196 * [taylor]: Taking taylor expansion of 1.0 in x 1.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.196 * [taylor]: Taking taylor expansion of x in x 1.205 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 1.206 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.206 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.206 * [taylor]: Taking taylor expansion of 1.0 in x 1.206 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.206 * [taylor]: Taking taylor expansion of 1.0 in x 1.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.207 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.207 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.207 * [taylor]: Taking taylor expansion of x in x 1.208 * [taylor]: Taking taylor expansion of 1.0 in x 1.208 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.208 * [taylor]: Taking taylor expansion of 1.0 in x 1.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.208 * [taylor]: Taking taylor expansion of x in x 1.217 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.217 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 1.217 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.217 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.218 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in (x) around 0 1.218 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in x 1.218 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) in x 1.218 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 1.218 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.219 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.219 * * * [progress]: simplifying candidates 1.221 * [simplify]: Simplifying using # : (* (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)) (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))) (- (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)) (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))))) (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)))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1.226 * * [simplify]: iteration 0 : 306 enodes (cost 810 ) 1.232 * * [simplify]: iteration 1 : 1133 enodes (cost 765 ) 1.256 * * [simplify]: iteration 2 : 5001 enodes (cost 755 ) 1.260 * [simplify]: Simplified to: (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) (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))))) (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))) (* (+ (* x (+ x 1.0)) (* 1.0 1.0)) (+ x 1.0)) (* (+ x 1.0) (+ 1.0 x)) (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))))) (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)))) (+ 1.0 (* 2.0 (- (pow x 2) x))) (- (/ 2.0 x) (- 1 (/ (- 2.0) (pow x 2)))) (- (/ 2.0 x) (- 1 (/ (- 2.0) (pow x 2)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1.261 * * * [progress]: adding candidates to table 1.443 * * [progress]: iteration 4 / 4 1.443 * * * [progress]: picking best candidate 1.445 * * * * [pick]: Picked # 1.445 * * * [progress]: localizing error 1.457 * * * [progress]: generating rewritten candidates 1.457 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.459 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 1.467 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.468 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.472 * * * [progress]: generating series expansions 1.472 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.472 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 1.472 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.472 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.472 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 1.472 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.473 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.473 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 1.473 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.473 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.474 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 1.474 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 1.474 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.474 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.474 * [taylor]: Taking taylor expansion of 1.0 in x 1.474 * [taylor]: Taking taylor expansion of x in x 1.474 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.474 * [taylor]: Taking taylor expansion of x in x 1.474 * [taylor]: Taking taylor expansion of 1.0 in x 1.475 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.475 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.475 * [taylor]: Taking taylor expansion of 1.0 in x 1.475 * [taylor]: Taking taylor expansion of x in x 1.475 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.475 * [taylor]: Taking taylor expansion of x in x 1.475 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 1.483 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.483 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.483 * [taylor]: Taking taylor expansion of 1.0 in x 1.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.483 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.483 * [taylor]: Taking taylor expansion of 1.0 in x 1.484 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.484 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.484 * [taylor]: Taking taylor expansion of 1.0 in x 1.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.484 * [taylor]: Taking taylor expansion of x in x 1.484 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.485 * [taylor]: Taking taylor expansion of x in x 1.485 * [taylor]: Taking taylor expansion of 1.0 in x 1.493 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 1.493 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.494 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.494 * [taylor]: Taking taylor expansion of x in x 1.494 * [taylor]: Taking taylor expansion of 1.0 in x 1.494 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.494 * [taylor]: Taking taylor expansion of 1.0 in x 1.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.494 * [taylor]: Taking taylor expansion of x in x 1.495 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.495 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.495 * [taylor]: Taking taylor expansion of 1.0 in x 1.495 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.495 * [taylor]: Taking taylor expansion of 1.0 in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.505 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 1.505 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 1.505 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.505 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.506 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 1.506 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.506 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.506 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 1.506 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.506 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.507 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.507 * [approximate]: Taking taylor expansion of (exp (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) in (x) around 0 1.507 * [taylor]: Taking taylor expansion of (exp (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 1.507 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.507 * [taylor]: Taking taylor expansion of (exp (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 1.507 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.522 * [approximate]: Taking taylor expansion of (exp (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in (x) around 0 1.522 * [taylor]: Taking taylor expansion of (exp (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 1.522 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.522 * [taylor]: Taking taylor expansion of (exp (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 1.522 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.531 * [approximate]: Taking taylor expansion of (exp (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in (x) around 0 1.532 * [taylor]: Taking taylor expansion of (exp (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 1.532 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.532 * [taylor]: Taking taylor expansion of (exp (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 1.532 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.541 * * * [progress]: simplifying candidates 1.542 * [simplify]: Simplifying using # : (log (* (cbrt (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))))) (log (cbrt (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (log (sqrt (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (log (sqrt (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (log 1) (log (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (log (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (log (exp (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))))) (log (exp (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (log (exp 1)) (log (log (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (exp (log (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (* (cbrt (log (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (cbrt (log (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))))) (cbrt (log (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (* (* (log (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (log (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (log (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (sqrt (log (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (sqrt (log (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (- (log (- 1.0 x)) (log (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (log (atan (sqrt (/ (- 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))))) (exp (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (exp (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (exp 1) (log (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (exp (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (* (cbrt (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (cbrt (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (* (* (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (sqrt (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (sqrt (exp (atan (sqrt (/ (- 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)))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (exp (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (exp (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (exp (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1.547 * * [simplify]: iteration 0 : 266 enodes (cost 635 ) 1.552 * * [simplify]: iteration 1 : 742 enodes (cost 579 ) 1.565 * * [simplify]: iteration 2 : 3105 enodes (cost 576 ) 1.630 * * [simplify]: iteration 3 : 5001 enodes (cost 576 ) 1.634 * [simplify]: Simplified to: (* 2 (log (cbrt (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))))) (log (cbrt (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (log (sqrt (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (log (sqrt (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) 0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (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)))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 1 (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))))) (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))) (* (+ (* x (+ x 1.0)) (* 1.0 1.0)) (+ 1.0 x)) (* (+ 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))))) (exp (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (exp (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) E (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (* (cbrt (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (cbrt (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (pow (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 3) (sqrt (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (sqrt (exp (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)))) (+ 1.0 (* 2.0 (- (pow x 2) x))) (- (/ 2.0 x) (- 1 (/ (- 2.0) (pow x 2)))) (- (/ 2.0 x) (- 1 (/ (- 2.0) (pow x 2)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 1.634 * * * [progress]: adding candidates to table 1.803 * [progress]: [Phase 3 of 3] Extracting. 1.803 * * [regime]: Finding splitpoints for: (# # # #) 1.804 * * * [regime-changes]: Trying 5 branch expressions: ((/ (- 1.0 x) (+ 1.0 x)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) x) 1.805 * * * * [regimes]: Trying to branch on (/ (- 1.0 x) (+ 1.0 x)) from (# # # #) 1.823 * * * * [regimes]: Trying to branch on (sqrt (/ (- 1.0 x) (+ 1.0 x))) from (# # # #) 1.839 * * * * [regimes]: Trying to branch on (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) from (# # # #) 1.858 * * * * [regimes]: Trying to branch on (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) from (# # # #) 1.880 * * * * [regimes]: Trying to branch on x from (# # # #) 1.896 * * * [regime]: Found split indices: #