0.930 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.275 * * * [progress]: [2/2] Setting up program. 0.279 * [progress]: [Phase 2 of 3] Improving. 0.281 * [simplify]: Simplifying using # : (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.284 * * [simplify]: iteration 0 : 9 enodes (cost 11 ) 0.287 * * [simplify]: iteration 1 : 16 enodes (cost 11 ) 0.289 * * [simplify]: iteration 2 : 19 enodes (cost 11 ) 0.291 * * [simplify]: iteration 3 : 21 enodes (cost 11 ) 0.293 * * [simplify]: iteration done : 21 enodes (cost 11 ) 0.293 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.294 * * [progress]: iteration 1 / 4 0.294 * * * [progress]: picking best candidate 0.297 * * * * [pick]: Picked # 0.297 * * * [progress]: localizing error 0.306 * * * [progress]: generating rewritten candidates 0.306 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.318 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1) 0.329 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.334 * * * [progress]: generating series expansions 0.334 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.338 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.339 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.339 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.339 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.356 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.356 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [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 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 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 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.387 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.387 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.411 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.411 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.411 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of 1.0 in x 0.411 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.411 * [taylor]: Taking taylor expansion of 1.0 in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.417 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.445 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1) 0.445 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.445 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.445 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [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 0.454 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.454 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.454 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.456 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.456 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.456 * [taylor]: Taking taylor expansion of 1.0 in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of 1.0 in x 0.466 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.466 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of 1.0 in x 0.466 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.466 * [taylor]: Taking taylor expansion of 1.0 in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.478 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.478 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.478 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.479 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.480 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.480 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.480 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.480 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.480 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.481 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.481 * * * [progress]: simplifying candidates 0.483 * [simplify]: Simplifying using # : (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt 1) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (- (log (- 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))))) (- (+ (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))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.487 * * [simplify]: iteration 0 : 167 enodes (cost 1451 ) 0.516 * * [simplify]: iteration 1 : 358 enodes (cost 1376 ) 0.580 * * [simplify]: iteration 2 : 1042 enodes (cost 1284 ) 0.901 * * [simplify]: iteration done : 5000 enodes (cost 1268 ) 0.902 * [simplify]: Simplified to: (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)))) (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))) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (sqrt (- 1.0 x))) (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))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (+ (sqrt 1.0) (sqrt x))) (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 (+ (* x (- x 1.0)) (* 1.0 1.0))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) 1/2 (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (/ (- 1.0 x) (+ x 1.0))) (log (/ (- 1.0 x) (+ x 1.0))) (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))) (- x 1.0) (- (+ 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))) (/ (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))) (* (+ 1.0 x) (+ (* 1.0 1.0) (* 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))))) (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))))) (- (+ (sqrt 1.0) (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0)))) (* 1.0 (/ x (sqrt 1.0)))) (+ (/ 1.0 (* x (sqrt -1))) (- (sqrt -1) (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (- (sqrt -1))))))) (+ (/ 1.0 (* x (sqrt -1))) (- (sqrt -1) (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (- (sqrt -1))))))) (+ (* 2.0 (- (pow x 2) x)) 1.0) (- (- (/ 2.0 x) 1) (/ 2.0 (* x x))) (- (- (/ 2.0 x) 1) (/ 2.0 (* x 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)))) 0.903 * * * [progress]: adding candidates to table 1.126 * * [progress]: iteration 2 / 4 1.126 * * * [progress]: picking best candidate 1.128 * * * * [pick]: Picked # 1.128 * * * [progress]: localizing error 1.141 * * * [progress]: generating rewritten candidates 1.141 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 1.153 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 1.159 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.232 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 1.263 * * * [progress]: generating series expansions 1.263 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 1.263 * [approximate]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in (x) around 0 1.263 * [taylor]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in x 1.263 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.263 * [taylor]: Taking taylor expansion of 1.0 in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.263 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.263 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.263 * [taylor]: Taking taylor expansion of 1.0 in x 1.267 * [taylor]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in x 1.267 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.267 * [taylor]: Taking taylor expansion of 1.0 in x 1.267 * [taylor]: Taking taylor expansion of x in x 1.267 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 1.267 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.267 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.267 * [taylor]: Taking taylor expansion of x in x 1.267 * [taylor]: Taking taylor expansion of 1.0 in x 1.301 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in (x) around 0 1.301 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in x 1.301 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 1.301 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.301 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.301 * [taylor]: Taking taylor expansion of x in x 1.301 * [taylor]: Taking taylor expansion of 1.0 in x 1.303 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.303 * [taylor]: Taking taylor expansion of 1.0 in x 1.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.303 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in x 1.303 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 1.303 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.303 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.304 * [taylor]: Taking taylor expansion of x in x 1.304 * [taylor]: Taking taylor expansion of 1.0 in x 1.305 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.305 * [taylor]: Taking taylor expansion of 1.0 in x 1.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.325 * [approximate]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in (x) around 0 1.325 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 1.325 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.326 * [taylor]: Taking taylor expansion of 1.0 in x 1.326 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.326 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.326 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.326 * [taylor]: Taking taylor expansion of 1.0 in x 1.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.326 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 1.328 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of 1.0 in x 1.328 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.328 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.328 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.328 * [taylor]: Taking taylor expansion of 1.0 in x 1.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.352 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 1.353 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in (x) around 0 1.353 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 1.353 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.353 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.353 * [taylor]: Taking taylor expansion of 1.0 in x 1.356 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 1.356 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.356 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.356 * [taylor]: Taking taylor expansion of x in x 1.356 * [taylor]: Taking taylor expansion of 1.0 in x 1.375 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in (x) around 0 1.375 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 1.375 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.375 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.375 * [taylor]: Taking taylor expansion of x in x 1.375 * [taylor]: Taking taylor expansion of 1.0 in x 1.377 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 1.377 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.377 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of 1.0 in x 1.388 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in (x) around 0 1.389 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.389 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.389 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.389 * [taylor]: Taking taylor expansion of 1.0 in x 1.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.389 * [taylor]: Taking taylor expansion of x in x 1.391 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.391 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.391 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.391 * [taylor]: Taking taylor expansion of 1.0 in x 1.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.391 * [taylor]: Taking taylor expansion of x in x 1.403 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.403 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.403 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.403 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.403 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.403 * [taylor]: Taking taylor expansion of 1.0 in x 1.403 * [taylor]: Taking taylor expansion of x in x 1.403 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.403 * [taylor]: Taking taylor expansion of x in x 1.404 * [taylor]: Taking taylor expansion of 1.0 in x 1.408 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.408 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.408 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.408 * [taylor]: Taking taylor expansion of 1.0 in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of 1.0 in x 1.431 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.431 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.431 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.431 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.431 * [taylor]: Taking taylor expansion of 1.0 in x 1.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.432 * [taylor]: Taking taylor expansion of x in x 1.432 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.432 * [taylor]: Taking taylor expansion of x in x 1.432 * [taylor]: Taking taylor expansion of 1.0 in x 1.438 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.438 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.438 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.438 * [taylor]: Taking taylor expansion of 1.0 in x 1.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.438 * [taylor]: Taking taylor expansion of x in x 1.438 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.438 * [taylor]: Taking taylor expansion of x in x 1.438 * [taylor]: Taking taylor expansion of 1.0 in x 1.461 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.461 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.461 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.461 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.461 * [taylor]: Taking taylor expansion of x in x 1.461 * [taylor]: Taking taylor expansion of 1.0 in x 1.461 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.461 * [taylor]: Taking taylor expansion of 1.0 in x 1.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.461 * [taylor]: Taking taylor expansion of x in x 1.467 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.467 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.467 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.467 * [taylor]: Taking taylor expansion of x in x 1.467 * [taylor]: Taking taylor expansion of 1.0 in x 1.468 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.468 * [taylor]: Taking taylor expansion of 1.0 in x 1.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.491 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.491 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 x)) (pow (/ 1 (+ x 1.0)) 1/4)) in (x) around 0 1.491 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 x)) (pow (/ 1 (+ x 1.0)) 1/4)) in x 1.491 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 1.491 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.491 * [taylor]: Taking taylor expansion of 1.0 in x 1.491 * [taylor]: Taking taylor expansion of x in x 1.496 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ x 1.0)) 1/4) in x 1.496 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ x 1.0))))) in x 1.496 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ x 1.0)))) in x 1.496 * [taylor]: Taking taylor expansion of 1/4 in x 1.496 * [taylor]: Taking taylor expansion of (log (/ 1 (+ x 1.0))) in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.496 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.496 * [taylor]: Taking taylor expansion of x in x 1.496 * [taylor]: Taking taylor expansion of 1.0 in x 1.499 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 x)) (pow (/ 1 (+ x 1.0)) 1/4)) in x 1.499 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 1.499 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.499 * [taylor]: Taking taylor expansion of 1.0 in x 1.499 * [taylor]: Taking taylor expansion of x in x 1.501 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ x 1.0)) 1/4) in x 1.501 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ x 1.0))))) in x 1.501 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ x 1.0)))) in x 1.501 * [taylor]: Taking taylor expansion of 1/4 in x 1.501 * [taylor]: Taking taylor expansion of (log (/ 1 (+ x 1.0))) in x 1.501 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.501 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.501 * [taylor]: Taking taylor expansion of x in x 1.501 * [taylor]: Taking taylor expansion of 1.0 in x 1.602 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (+ (/ 1 x) 1.0)) 1/4) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 1.602 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (+ (/ 1 x) 1.0)) 1/4) (sqrt (- 1.0 (/ 1 x)))) in x 1.602 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (/ 1 x) 1.0)) 1/4) in x 1.602 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (/ 1 x) 1.0))))) in x 1.602 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (/ 1 x) 1.0)))) in x 1.602 * [taylor]: Taking taylor expansion of 1/4 in x 1.602 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (/ 1 x) 1.0))) in x 1.602 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.602 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.602 * [taylor]: Taking taylor expansion of x in x 1.602 * [taylor]: Taking taylor expansion of 1.0 in x 1.603 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.604 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.604 * [taylor]: Taking taylor expansion of 1.0 in x 1.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.604 * [taylor]: Taking taylor expansion of x in x 1.605 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (+ (/ 1 x) 1.0)) 1/4) (sqrt (- 1.0 (/ 1 x)))) in x 1.605 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (/ 1 x) 1.0)) 1/4) in x 1.605 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (/ 1 x) 1.0))))) in x 1.605 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (/ 1 x) 1.0)))) in x 1.605 * [taylor]: Taking taylor expansion of 1/4 in x 1.605 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (/ 1 x) 1.0))) in x 1.605 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.606 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.606 * [taylor]: Taking taylor expansion of x in x 1.606 * [taylor]: Taking taylor expansion of 1.0 in x 1.607 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.607 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.607 * [taylor]: Taking taylor expansion of 1.0 in x 1.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.607 * [taylor]: Taking taylor expansion of x in x 1.670 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 x) 1.0)) (pow (/ 1 (- 1.0 (/ 1 x))) 1/4)) in (x) around 0 1.670 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 x) 1.0)) (pow (/ 1 (- 1.0 (/ 1 x))) 1/4)) in x 1.670 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.670 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.670 * [taylor]: Taking taylor expansion of x in x 1.670 * [taylor]: Taking taylor expansion of 1.0 in x 1.672 * [taylor]: Taking taylor expansion of (pow (/ 1 (- 1.0 (/ 1 x))) 1/4) in x 1.672 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (- 1.0 (/ 1 x)))))) in x 1.672 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (- 1.0 (/ 1 x))))) in x 1.672 * [taylor]: Taking taylor expansion of 1/4 in x 1.672 * [taylor]: Taking taylor expansion of (log (/ 1 (- 1.0 (/ 1 x)))) in x 1.672 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.672 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.672 * [taylor]: Taking taylor expansion of 1.0 in x 1.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.672 * [taylor]: Taking taylor expansion of x in x 1.674 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 x) 1.0)) (pow (/ 1 (- 1.0 (/ 1 x))) 1/4)) in x 1.674 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.674 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.674 * [taylor]: Taking taylor expansion of 1.0 in x 1.676 * [taylor]: Taking taylor expansion of (pow (/ 1 (- 1.0 (/ 1 x))) 1/4) in x 1.676 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (- 1.0 (/ 1 x)))))) in x 1.676 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (- 1.0 (/ 1 x))))) in x 1.676 * [taylor]: Taking taylor expansion of 1/4 in x 1.676 * [taylor]: Taking taylor expansion of (log (/ 1 (- 1.0 (/ 1 x)))) in x 1.676 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.676 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.676 * [taylor]: Taking taylor expansion of 1.0 in x 1.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.676 * [taylor]: Taking taylor expansion of x in x 1.748 * * * [progress]: simplifying candidates 1.753 * [simplify]: Simplifying using # : (- (log (- 1.0 x)) (log (sqrt (+ 1.0 x)))) (log (/ (- 1.0 x) (sqrt (+ 1.0 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(pow x 3))))) (sqrt (sqrt (+ (* x (- x 1.0)) (* 1.0 1.0)))) (sqrt (/ (- 1.0 x) (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt (sqrt (- 1.0 x))) (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x))) 1/2 (sqrt (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x))))) (sqrt (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x))))) (- (- (* 1.0 (+ (sqrt 1.0) (/ (pow x 2) (sqrt 1.0)))) (* x (sqrt 1.0))) (+ (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ x (sqrt 1.0))))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (+ (sqrt 1.0) (* 0.5 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ x (sqrt 1.0))))) (- (- (/ +nan.0 x) (/ +nan.0 (pow x 3))) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) (/ +nan.0 (pow x 3))) (/ +nan.0 (* x x))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (- (+ (/ 1.0 (* x (sqrt -1))) (sqrt -1)) (/ 1.0 (* (pow x 2) (sqrt -1)))) (/ 0.5 (* (pow x 2) (pow (sqrt -1) 3)))) (- (- (+ (/ 1.0 (* x (sqrt -1))) (sqrt -1)) (/ 1.0 (* (pow x 2) (sqrt -1)))) (/ 0.5 (* (pow x 2) (pow (sqrt -1) 3)))) (- (+ (* (pow 1.0 1/4) (+ (* 0.28125 (* (pow x 2) (sqrt 1.0))) (* 0.125 (/ (pow x 2) (sqrt 1.0))))) (* (sqrt 1.0) (pow 1.0 1/4))) (+ (* (pow 1.0 1/4) (+ (* 0.25 (* x (sqrt 1.0))) (* 1/2 (/ x (sqrt 1.0))))) (+ (* 1/8 (* (/ (pow x 2) (pow (sqrt 1.0) 3)) (pow 1.0 1/4))) (* 0.125 (* (* (pow x 2) (sqrt 1.0)) (pow (/ 1 (pow 1.0 7)) 1/4)))))) (- (* +nan.0 (- (pow (/ 1 (pow x 9)) 1/4) (pow (/ 1 x) 1/4))) (* +nan.0 (pow (/ 1 (pow x 5)) 1/4))) (- (* +nan.0 (- (/ (exp (* 1/4 (+ (log -1) (log (/ -1 x))))) (pow x 2)) (/ (exp (* 1/4 (+ (log -1) (log (/ -1 x))))) x))) (* +nan.0 (exp (* 1/4 (+ (log -1) (log (/ -1 x))))))) 2.780 * * * [progress]: adding candidates to table 3.443 * [progress]: [Phase 3 of 3] Extracting. 3.443 * * [regime]: Finding splitpoints for: (# #) 3.444 * * * [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) 3.445 * * * * [regimes]: Trying to branch on (/ (- 1.0 x) (+ 1.0 x)) from (# #) 3.456 * * * * [regimes]: Trying to branch on (sqrt (/ (- 1.0 x) (+ 1.0 x))) from (# #) 3.469 * * * * [regimes]: Trying to branch on (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) from (# #) 3.488 * * * * [regimes]: Trying to branch on (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) from (# #) 3.504 * * * * [regimes]: Trying to branch on x from (# #) 3.515 * * * [regime]: Found split indices: #