0.901 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.272 * * * [progress]: [2/2] Setting up program. 0.275 * [progress]: [Phase 2 of 3] Improving. 0.278 * [simplify]: Simplifying using # : (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.282 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 0.283 * * [simplify]: iteration 1 : 19 enodes (cost 6 ) 0.285 * * [simplify]: iteration 2 : 21 enodes (cost 6 ) 0.286 * * [simplify]: iteration 3 : 21 enodes (cost 6 ) 0.287 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.288 * * [progress]: iteration 1 / 4 0.288 * * * [progress]: picking best candidate 0.291 * * * * [pick]: Picked # 0.291 * * * [progress]: localizing error 0.301 * * * [progress]: generating rewritten candidates 0.301 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.312 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.313 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.327 * * * [progress]: generating series expansions 0.327 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.331 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.332 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.332 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.334 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.334 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [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 0.360 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.360 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.360 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.360 * [taylor]: Taking taylor expansion of 1.0 in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.362 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.372 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.384 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.385 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.385 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.386 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.386 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.386 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.386 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.387 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.387 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.387 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.387 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.388 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.388 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.388 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.388 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.393 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.393 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.415 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.415 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.415 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.415 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.415 * [taylor]: Taking taylor expansion of 1.0 in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.421 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.421 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of 1.0 in x 0.448 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.448 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.448 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.449 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.455 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.479 * * * [progress]: simplifying candidates 0.481 * [simplify]: Simplifying using # : (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (- (log (- 1.0 x)) (log (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (expm1 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (* (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt 1) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (sqrt (- (- 1.0 x))) (sqrt (- (+ 1.0 x))) (sqrt 1) (sqrt (/ (+ 1.0 x) (- 1.0 x))) (sqrt (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (cbrt (+ 1.0 x))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (sqrt (+ 1.0 x))) (sqrt (/ (- 1.0 x) 1)) (sqrt (+ 1.0 x)) (sqrt (/ (- 1.0 x) 1)) (sqrt (+ 1.0 x)) (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (/ (+ 1.0 x) (cbrt (- 1.0 x)))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (+ 1.0 x) (sqrt (- 1.0 x)))) (sqrt 1) (sqrt (/ (+ 1.0 x) (- 1.0 x))) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x)))) (sqrt 1) (sqrt (/ (+ 1.0 x) (- 1.0 x))) (sqrt (- (pow 1.0 3) (pow x 3))) (sqrt (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (* (+ 1.0 x) (+ 1.0 x))) (/ 1 2) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 0.487 * * [simplify]: iteration 0 : 392 enodes (cost 859 ) 0.493 * * [simplify]: iteration 1 : 1163 enodes (cost 822 ) 0.516 * * [simplify]: iteration 2 : 5002 enodes (cost 804 ) 0.521 * [simplify]: Simplified to: (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0))) (- x 1.0) (- (+ 1.0 x)) (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (- 1.0 x) (- 1.0 x) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (fma 1.0 1.0 (fma x x (* 1.0 x))) (+ 1.0 x)) (* (+ 1.0 x) (+ 1.0 x)) (expm1 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ x 1.0)))) (exp (sqrt (/ (- 1.0 x) (+ x 1.0)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (fabs (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (fabs (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (sqrt (- 1.0 x))) (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 (+ (* 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)) (sqrt (- (- 1.0 x))) (sqrt (- (+ 1.0 x))) 1 (sqrt (/ (+ 1.0 x) (- 1.0 x))) (sqrt (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (cbrt (+ 1.0 x))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (sqrt (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (fabs (cbrt (- 1.0 x))) (sqrt (/ (+ 1.0 x) (cbrt (- 1.0 x)))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (+ 1.0 x) (sqrt (- 1.0 x)))) 1 (sqrt (/ (+ 1.0 x) (- 1.0 x))) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x)))) 1 (sqrt (/ (+ 1.0 x) (- 1.0 x))) (sqrt (- (pow 1.0 3) (pow x 3))) (sqrt (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)) 1/2 (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (fma (pow x 2) 2.0 (- 1.0 (* 2.0 x))) (- (/ 2.0 x) (- 1 (/ (- 2.0) (pow x 2)))) (- (/ 2.0 x) (- 1 (/ (- 2.0) (pow x 2)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (- (* 1.0 (/ x (sqrt 1.0))) (sqrt 1.0))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3)))) (/ 1.0 (* x (sqrt -1))))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3)))) (/ 1.0 (* x (sqrt -1))))) 0.521 * * * [progress]: adding candidates to table 0.783 * * [progress]: iteration 2 / 4 0.783 * * * [progress]: picking best candidate 0.787 * * * * [pick]: Picked # 0.787 * * * [progress]: localizing error 0.799 * * * [progress]: generating rewritten candidates 0.799 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.824 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.841 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1) 0.890 * * * [progress]: generating series expansions 0.890 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.890 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0)))) in (x) around 0 0.890 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0)))) in x 0.890 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.890 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.890 * [taylor]: Taking taylor expansion of 1.0 in x 0.890 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of (/ 1 (fabs (+ x 1.0))) in x 0.892 * [taylor]: Taking taylor expansion of (fabs (+ x 1.0)) in x 0.892 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0)))) in x 0.892 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.892 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.892 * [taylor]: Taking taylor expansion of 1.0 in x 0.892 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.893 * [taylor]: Taking taylor expansion of (/ 1 (fabs (+ x 1.0))) in x 0.893 * [taylor]: Taking taylor expansion of (fabs (+ x 1.0)) in x 0.912 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0)))) in (x) around 0 0.913 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0)))) in x 0.913 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.913 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.913 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.913 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (/ 1 (fabs (+ (/ 1 x) 1.0))) in x 0.915 * [taylor]: Taking taylor expansion of (fabs (+ (/ 1 x) 1.0)) in x 0.916 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0)))) in x 0.916 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.916 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.916 * [taylor]: Taking taylor expansion of 1.0 in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 (fabs (+ (/ 1 x) 1.0))) in x 0.919 * [taylor]: Taking taylor expansion of (fabs (+ (/ 1 x) 1.0)) in x 0.944 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x))))) in (x) around 0 0.944 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x))))) in x 0.944 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.944 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- 1.0 (/ 1 x)))) in x 0.947 * [taylor]: Taking taylor expansion of (fabs (- 1.0 (/ 1 x))) in x 0.947 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x))))) in x 0.947 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.947 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.947 * [taylor]: Taking taylor expansion of 1.0 in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.947 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- 1.0 (/ 1 x)))) in x 0.950 * [taylor]: Taking taylor expansion of (fabs (- 1.0 (/ 1 x))) in x 0.970 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.971 * [approximate]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) in (x) around 0 0.971 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) in x 0.971 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) in x 0.972 * [approximate]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0))))) in (x) around 0 0.972 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0))))) in x 0.972 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0))))) in x 0.973 * [approximate]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x)))))) in (x) around 0 0.973 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x)))))) in x 0.973 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x)))))) in x 0.974 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1) 0.974 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.974 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.974 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.974 * [taylor]: Taking taylor expansion of 1.0 in x 0.975 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.976 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.976 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.976 * [taylor]: Taking taylor expansion of 1.0 in x 0.976 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.989 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.989 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.989 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.989 * [taylor]: Taking taylor expansion of 1.0 in x 0.989 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.989 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.992 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.992 * [taylor]: Taking taylor expansion of 1.0 in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.992 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.992 * [taylor]: Taking taylor expansion of x in x 1.012 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.012 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.012 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.012 * [taylor]: Taking taylor expansion of 1.0 in x 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.015 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.015 * [taylor]: Taking taylor expansion of 1.0 in x 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.015 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.032 * * * [progress]: simplifying candidates 1.037 * [simplify]: Simplifying using # : (expm1 (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))) (log1p (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))) (- (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (fabs (+ 1.0 x)))) (log (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))) (exp (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))) (/ (* (* (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (- (* 1.0 1.0) (* x x)))) (* (* (fabs (+ 1.0 x)) (fabs (+ 1.0 x))) (fabs (+ 1.0 x)))) (* (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x))))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))) (* (* (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))) (- (sqrt (- (* 1.0 1.0) (* x x)))) (- (fabs (+ 1.0 x))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (fabs (+ 1.0 x)))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt (fabs (+ 1.0 x)))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (fabs (+ 1.0 x)))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) 1) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (fabs (+ 1.0 x))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (cbrt (fabs (+ 1.0 x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) 1) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (fabs (+ 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (fabs (+ 1.0 x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) 1) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (fabs (+ 1.0 x))) (/ (sqrt 1) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (cbrt (fabs (+ 1.0 x)))) (/ (sqrt 1) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt 1) 1) (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x))) (/ (sqrt (+ 1.0 x)) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (fabs (+ 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (+ 1.0 x)) 1) (/ (sqrt (- 1.0 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(sqrt (* 1.0 1.0)) (sqrt (* x x))))) (/ (fabs (+ 1.0 x)) (sqrt (- (sqrt (* 1.0 1.0)) x))) (/ (fabs (+ 1.0 x)) (sqrt (- (sqrt (* 1.0 1.0)) x))) (/ (fabs (+ 1.0 x)) (sqrt (- (sqrt (* 1.0 1.0)) x))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 (sqrt (* x x))))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 (sqrt (* x x))))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 (sqrt (* x x))))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (fabs (+ 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (fabs (+ 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (fabs (+ 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (fabs (+ 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (fabs (+ 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (fabs (+ 1.0 x)) (sqrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (fabs (+ 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x)))) (* (fabs (+ 1.0 x)) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* x x) (* x x)) (* (* 1.0 1.0) (* x x)))))) (* (hypot 1.0 x) (fabs (+ 1.0 x))) (expm1 (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x))))) (log1p (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x))))) (log (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x))))) (exp (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x))))) (* (cbrt (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x))))) (cbrt (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))))) (cbrt (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x))))) (pow (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))) 3) (sqrt (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x))))) (sqrt (atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x))))) (expm1 (sqrt (- (* 1.0 1.0) (* x x)))) (log1p (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- (* 1.0 1.0) (* x x)))) (exp (sqrt (- (* 1.0 1.0) (* x x)))) (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (pow (sqrt (- (* 1.0 1.0) (* x x))) 3) (fabs (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) 1 (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 (sqrt (* x x)))) (sqrt (- 1.0 (sqrt (* x x)))) (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ (sqrt (* 1.0 1.0)) x)) (sqrt (- (sqrt (* 1.0 1.0)) x)) (sqrt (+ (sqrt (* 1.0 1.0)) (sqrt (* x x)))) (sqrt (- (sqrt (* 1.0 1.0)) (sqrt (* x x)))) (sqrt (+ (sqrt (* 1.0 1.0)) x)) (sqrt (- (sqrt (* 1.0 1.0)) x)) (sqrt (+ (sqrt (* 1.0 1.0)) x)) (sqrt (- (sqrt (* 1.0 1.0)) x)) (sqrt (+ (sqrt (* 1.0 1.0)) x)) (sqrt (- (sqrt (* 1.0 1.0)) x)) (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 (sqrt (* x x)))) (sqrt (- 1.0 (sqrt (* x x)))) (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 (sqrt (* x x)))) (sqrt (- 1.0 (sqrt (* x x)))) (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 (sqrt (* x x)))) (sqrt (- 1.0 (sqrt (* x 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 (sqrt (- (* 1.0 1.0) (* x x))) 1 (sqrt (- (* 1.0 1.0) (* x x))) 1 (sqrt (- (* 1.0 1.0) (* x x))) 1 (sqrt (- (* 1.0 1.0) (* x x))) 1 (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- (pow (* 1.0 1.0) 3) (pow (* x x) 3))) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* x x) (* x x)) (* (* 1.0 1.0) (* x x))))) (sqrt (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* x x) (* x x)))) (hypot 1.0 x) 1/2 (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (- (/ (sqrt 1.0) (fabs (+ x 1.0))) (+ (* 1/2 (/ (pow x 2) (* (fabs (+ x 1.0)) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (* (fabs (+ x 1.0)) (pow (sqrt 1.0) 3)))))) (fma (- 0.125) (/ 1 (* (fabs (+ x 1.0)) (* (pow x 3) (pow (sqrt -1) 3)))) (fma (/ x (fabs (+ x 1.0))) (sqrt -1) (/ (/ 0.5 (* (fabs (+ x 1.0)) x)) (sqrt -1)))) (- (/ (/ 0.125 (* (fabs (+ x 1.0)) (pow x 3))) (pow (sqrt -1) 3)) (- (/ (* x (sqrt -1)) (fabs (+ x 1.0))) (/ (- 0.5) (* (fabs (+ x 1.0)) (* x (sqrt -1)))))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (fma 0.5 (/ 1 (* x (sqrt -1))) (- (* x (sqrt -1)) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))) (fma 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (- (fma 0.5 (/ 1 (* x (sqrt -1))) (* x (sqrt -1))))) 1.094 * * * [progress]: adding candidates to table 1.406 * * [progress]: iteration 3 / 4 1.406 * * * [progress]: picking best candidate 1.409 * * * * [pick]: Picked # 1.409 * * * [progress]: localizing error 1.427 * * * [progress]: generating rewritten candidates 1.427 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 1.452 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.493 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.530 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.570 * * * [progress]: generating series expansions 1.570 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 1.571 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0)))) in (x) around 0 1.571 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0)))) in x 1.571 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.571 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.571 * [taylor]: Taking taylor expansion of 1.0 in x 1.571 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.571 * [taylor]: Taking taylor expansion of x in x 1.572 * [taylor]: Taking taylor expansion of (/ 1 (fabs (+ x 1.0))) in x 1.572 * [taylor]: Taking taylor expansion of (fabs (+ x 1.0)) in x 1.573 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0)))) in x 1.573 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.573 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.573 * [taylor]: Taking taylor expansion of 1.0 in x 1.573 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.573 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (/ 1 (fabs (+ x 1.0))) in x 1.574 * [taylor]: Taking taylor expansion of (fabs (+ x 1.0)) in x 1.591 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0)))) in (x) around 0 1.591 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0)))) in x 1.591 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.591 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.591 * [taylor]: Taking taylor expansion of 1.0 in x 1.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.591 * [taylor]: Taking taylor expansion of x in x 1.594 * [taylor]: Taking taylor expansion of (/ 1 (fabs (+ (/ 1 x) 1.0))) in x 1.594 * [taylor]: Taking taylor expansion of (fabs (+ (/ 1 x) 1.0)) in x 1.594 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0)))) in x 1.594 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.594 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.594 * [taylor]: Taking taylor expansion of 1.0 in x 1.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.594 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.595 * [taylor]: Taking taylor expansion of x in x 1.597 * [taylor]: Taking taylor expansion of (/ 1 (fabs (+ (/ 1 x) 1.0))) in x 1.597 * [taylor]: Taking taylor expansion of (fabs (+ (/ 1 x) 1.0)) in x 1.618 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x))))) in (x) around 0 1.618 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x))))) in x 1.618 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.618 * [taylor]: Taking taylor expansion of 1.0 in x 1.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.618 * [taylor]: Taking taylor expansion of x in x 1.621 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- 1.0 (/ 1 x)))) in x 1.621 * [taylor]: Taking taylor expansion of (fabs (- 1.0 (/ 1 x))) in x 1.621 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x))))) in x 1.621 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.621 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.621 * [taylor]: Taking taylor expansion of 1.0 in x 1.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.621 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.624 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- 1.0 (/ 1 x)))) in x 1.624 * [taylor]: Taking taylor expansion of (fabs (- 1.0 (/ 1 x))) in x 1.649 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.650 * [approximate]: Taking taylor expansion of (exp (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) in (x) around 0 1.650 * [taylor]: Taking taylor expansion of (exp (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) in x 1.650 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0)))) in x 1.650 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.650 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.650 * [taylor]: Taking taylor expansion of 1.0 in x 1.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.650 * [taylor]: Taking taylor expansion of x in x 1.651 * [taylor]: Taking taylor expansion of (/ 1 (fabs (+ x 1.0))) in x 1.651 * [taylor]: Taking taylor expansion of (fabs (+ x 1.0)) in x 1.652 * [taylor]: Taking taylor expansion of (exp (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) in x 1.652 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0)))) in x 1.652 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.652 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.652 * [taylor]: Taking taylor expansion of 1.0 in x 1.652 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.652 * [taylor]: Taking taylor expansion of x in x 1.653 * [taylor]: Taking taylor expansion of (/ 1 (fabs (+ x 1.0))) in x 1.653 * [taylor]: Taking taylor expansion of (fabs (+ x 1.0)) in x 1.681 * [approximate]: Taking taylor expansion of (exp (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0))))) in (x) around 0 1.681 * [taylor]: Taking taylor expansion of (exp (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0))))) in x 1.681 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0)))) in x 1.681 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.681 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.681 * [taylor]: Taking taylor expansion of 1.0 in x 1.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.681 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.681 * [taylor]: Taking taylor expansion of x in x 1.684 * [taylor]: Taking taylor expansion of (/ 1 (fabs (+ (/ 1 x) 1.0))) in x 1.684 * [taylor]: Taking taylor expansion of (fabs (+ (/ 1 x) 1.0)) in x 1.685 * [taylor]: Taking taylor expansion of (exp (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0))))) in x 1.685 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0)))) in x 1.685 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.685 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.685 * [taylor]: Taking taylor expansion of 1.0 in x 1.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.685 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.685 * [taylor]: Taking taylor expansion of x in x 1.687 * [taylor]: Taking taylor expansion of (/ 1 (fabs (+ (/ 1 x) 1.0))) in x 1.687 * [taylor]: Taking taylor expansion of (fabs (+ (/ 1 x) 1.0)) in x 1.689 * [approximate]: Taking taylor expansion of (exp (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x)))))) in (x) around 0 1.689 * [taylor]: Taking taylor expansion of (exp (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x)))))) in x 1.689 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x))))) in x 1.689 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.689 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.689 * [taylor]: Taking taylor expansion of 1.0 in x 1.689 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.689 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.689 * [taylor]: Taking taylor expansion of x in x 1.692 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- 1.0 (/ 1 x)))) in x 1.692 * [taylor]: Taking taylor expansion of (fabs (- 1.0 (/ 1 x))) in x 1.693 * [taylor]: Taking taylor expansion of (exp (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x)))))) in x 1.693 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x))))) in x 1.693 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.693 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.693 * [taylor]: Taking taylor expansion of 1.0 in x 1.693 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.693 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.696 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- 1.0 (/ 1 x)))) in x 1.696 * [taylor]: Taking taylor expansion of (fabs (- 1.0 (/ 1 x))) in x 1.697 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.697 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0)))) in (x) around 0 1.697 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0)))) in x 1.697 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.697 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.697 * [taylor]: Taking taylor expansion of 1.0 in x 1.697 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.697 * [taylor]: Taking taylor expansion of x in x 1.699 * [taylor]: Taking taylor expansion of (/ 1 (fabs (+ x 1.0))) in x 1.699 * [taylor]: Taking taylor expansion of (fabs (+ x 1.0)) in x 1.699 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0)))) in x 1.699 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.699 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.699 * [taylor]: Taking taylor expansion of 1.0 in x 1.699 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.699 * [taylor]: Taking taylor expansion of x in x 1.700 * [taylor]: Taking taylor expansion of (/ 1 (fabs (+ x 1.0))) in x 1.700 * [taylor]: Taking taylor expansion of (fabs (+ x 1.0)) in x 1.717 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0)))) in (x) around 0 1.718 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0)))) in x 1.718 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.718 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.718 * [taylor]: Taking taylor expansion of 1.0 in x 1.718 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.718 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.718 * [taylor]: Taking taylor expansion of x in x 1.723 * [taylor]: Taking taylor expansion of (/ 1 (fabs (+ (/ 1 x) 1.0))) in x 1.723 * [taylor]: Taking taylor expansion of (fabs (+ (/ 1 x) 1.0)) in x 1.723 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0)))) in x 1.723 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.723 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.723 * [taylor]: Taking taylor expansion of 1.0 in x 1.723 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.723 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.723 * [taylor]: Taking taylor expansion of x in x 1.726 * [taylor]: Taking taylor expansion of (/ 1 (fabs (+ (/ 1 x) 1.0))) in x 1.726 * [taylor]: Taking taylor expansion of (fabs (+ (/ 1 x) 1.0)) in x 1.746 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x))))) in (x) around 0 1.747 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x))))) in x 1.747 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.747 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.747 * [taylor]: Taking taylor expansion of 1.0 in x 1.747 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.747 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.747 * [taylor]: Taking taylor expansion of x in x 1.749 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- 1.0 (/ 1 x)))) in x 1.749 * [taylor]: Taking taylor expansion of (fabs (- 1.0 (/ 1 x))) in x 1.750 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x))))) in x 1.750 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.750 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.750 * [taylor]: Taking taylor expansion of 1.0 in x 1.750 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.750 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.750 * [taylor]: Taking taylor expansion of x in x 1.752 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- 1.0 (/ 1 x)))) in x 1.752 * [taylor]: Taking taylor expansion of (fabs (- 1.0 (/ 1 x))) in x 1.773 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.773 * [approximate]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) in (x) around 0 1.773 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) in x 1.773 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) in x 1.774 * [approximate]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0))))) in (x) around 0 1.775 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0))))) in x 1.775 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0))))) in x 1.776 * [approximate]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x)))))) in (x) around 0 1.776 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x)))))) in x 1.776 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x)))))) in x 1.777 * * * [progress]: simplifying candidates 1.784 * [simplify]: Simplifying using # : (expm1 (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))) (log1p (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))) (- (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (fabs (+ 1.0 x)))) (log (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))) (exp (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))) (/ (* (* (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (- (* 1.0 1.0) (* x x)))) (* (* (fabs (+ 1.0 x)) (fabs (+ 1.0 x))) (fabs (+ 1.0 x)))) (* (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x))))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))) (* (* (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))) (- (sqrt (- (* 1.0 1.0) (* x x)))) (- (fabs (+ 1.0 x))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (fabs (+ 1.0 x)))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt (fabs (+ 1.0 x)))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (fabs (+ 1.0 x)))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) 1) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (fabs (+ 1.0 x))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (cbrt (fabs (+ 1.0 x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) 1) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (fabs (+ 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (fabs (+ 1.0 x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) 1) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (fabs (+ 1.0 x))) (/ (sqrt 1) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (cbrt (fabs (+ 1.0 x)))) (/ (sqrt 1) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt 1) 1) (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x))) (/ (sqrt (+ 1.0 x)) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (fabs (+ 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (+ 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (fabs (+ 1.0 x))) (/ (sqrt (+ 1.0 (sqrt (* x x)))) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (sqrt (- 1.0 (sqrt (* x x)))) (cbrt (fabs (+ 1.0 x)))) (/ (sqrt (+ 1.0 (sqrt (* x x)))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (- 1.0 (sqrt (* x x)))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (+ 1.0 (sqrt (* x x)))) 1) (/ (sqrt (- 1.0 (sqrt (* x x)))) (fabs (+ 1.0 x))) (/ (sqrt (+ 1.0 (* (sqrt x) (sqrt x)))) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (sqrt (- 1.0 (* (sqrt x) (sqrt x)))) (cbrt (fabs (+ 1.0 x)))) (/ (sqrt (+ 1.0 (* (sqrt x) (sqrt x)))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (- 1.0 (* (sqrt x) (sqrt x)))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (+ 1.0 (* (sqrt x) (sqrt x)))) 1) (/ (sqrt (- 1.0 (* (sqrt x) (sqrt x)))) (fabs (+ 1.0 x))) (/ (sqrt (+ 1.0 (* (sqrt x) (sqrt x)))) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (sqrt (- 1.0 (* (sqrt x) (sqrt x)))) (cbrt (fabs (+ 1.0 x)))) (/ (sqrt (+ 1.0 (* (sqrt x) (sqrt x)))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (- 1.0 (* (sqrt x) (sqrt x)))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (+ 1.0 (* (sqrt x) (sqrt x)))) 1) (/ (sqrt (- 1.0 (* (sqrt x) (sqrt x)))) (fabs (+ 1.0 x))) (/ (sqrt (+ 1.0 x)) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (fabs (+ 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (+ 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (fabs (+ 1.0 x))) (/ (sqrt (+ (sqrt (* 1.0 1.0)) x)) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (sqrt (- (sqrt (* 1.0 1.0)) x)) (cbrt (fabs (+ 1.0 x)))) (/ (sqrt (+ (sqrt (* 1.0 1.0)) x)) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (- (sqrt (* 1.0 1.0)) x)) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (+ (sqrt (* 1.0 1.0)) x)) 1) (/ (sqrt (- (sqrt (* 1.0 1.0)) x)) (fabs (+ 1.0 x))) (/ (sqrt (+ (sqrt (* 1.0 1.0)) (sqrt (* x x)))) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (sqrt (- (sqrt (* 1.0 1.0)) (sqrt (* x x)))) (cbrt (fabs (+ 1.0 x)))) (/ (sqrt (+ (sqrt (* 1.0 1.0)) (sqrt (* x x)))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (- (sqrt (* 1.0 1.0)) (sqrt (* x x)))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (+ (sqrt (* 1.0 1.0)) (sqrt (* x x)))) 1) (/ (sqrt (- (sqrt (* 1.0 1.0)) (sqrt (* x x)))) (fabs (+ 1.0 x))) (/ (sqrt (+ (sqrt (* 1.0 1.0)) (* (sqrt x) (sqrt x)))) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (sqrt (- (sqrt (* 1.0 1.0)) (* (sqrt x) (sqrt x)))) (cbrt (fabs (+ 1.0 x)))) (/ (sqrt (+ (sqrt (* 1.0 1.0)) (* (sqrt x) (sqrt x)))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (- (sqrt (* 1.0 1.0)) (* (sqrt x) (sqrt x)))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (+ (sqrt (* 1.0 1.0)) (* (sqrt x) (sqrt x)))) 1) (/ (sqrt (- (sqrt (* 1.0 1.0)) (* (sqrt x) (sqrt x)))) (fabs (+ 1.0 x))) (/ (sqrt (+ (sqrt (* 1.0 1.0)) (* (sqrt x) (sqrt x)))) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (sqrt (- (sqrt (* 1.0 1.0)) (* (sqrt x) (sqrt x)))) (cbrt (fabs (+ 1.0 x)))) (/ (sqrt (+ (sqrt (* 1.0 1.0)) (* (sqrt x) (sqrt x)))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (- (sqrt (* 1.0 1.0)) (* (sqrt x) (sqrt x)))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (+ (sqrt (* 1.0 1.0)) (* (sqrt x) (sqrt x)))) 1) (/ (sqrt (- (sqrt (* 1.0 1.0)) (* (sqrt x) (sqrt x)))) (fabs (+ 1.0 x))) (/ (sqrt (+ (sqrt (* 1.0 1.0)) x)) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (sqrt (- (sqrt (* 1.0 1.0)) x)) (cbrt (fabs (+ 1.0 x)))) (/ (sqrt (+ (sqrt (* 1.0 1.0)) x)) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (- (sqrt (* 1.0 1.0)) x)) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (+ (sqrt (* 1.0 1.0)) x)) 1) (/ (sqrt (- (sqrt (* 1.0 1.0)) x)) (fabs (+ 1.0 x))) (/ (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) x)) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) x)) (cbrt (fabs (+ 1.0 x)))) (/ (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) x)) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) x)) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) x)) 1) (/ (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) x)) (fabs (+ 1.0 x))) (/ (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (sqrt (* x x)))) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (sqrt 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(sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt x) (sqrt x)))) (cbrt (fabs (+ 1.0 x)))) (/ (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt x) (sqrt x)))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt x) (sqrt x)))) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt x) (sqrt x)))) 1) (/ (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt x) (sqrt x)))) (fabs (+ 1.0 x))) (/ (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) x)) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) x)) (cbrt (fabs (+ 1.0 x)))) (/ (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) x)) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) x)) (sqrt (fabs (+ 1.0 x)))) (/ (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) x)) 1) (/ (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) x)) (fabs (+ 1.0 x))) (/ (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) x)) (* (cbrt (fabs (+ 1.0 x))) (cbrt (fabs (+ 1.0 x))))) (/ (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) x)) (cbrt (fabs (+ 1.0 x)))) (/ (sqrt (+ (* (sqrt 1.0) (sqrt 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4) (* (fabs (+ x 1.0)) (pow (sqrt 1.0) 3)))))) (fma (- 0.125) (/ 1 (* (fabs (+ x 1.0)) (* (pow x 3) (pow (sqrt -1) 3)))) (fma (/ x (fabs (+ x 1.0))) (sqrt -1) (/ (/ 0.5 (* (fabs (+ x 1.0)) x)) (sqrt -1)))) (- (* 0.125 (/ 1 (* (fabs (+ x 1.0)) (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ (* x (sqrt -1)) (fabs (+ x 1.0))) (* 0.5 (/ 1 (* (fabs (+ x 1.0)) (* x (sqrt -1))))))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) 1.859 * * * [progress]: adding candidates to table 2.594 * [progress]: [Phase 3 of 3] Extracting. 2.597 * [simplify]: Simplifying using # : (* 2.0 (atan (log (exp (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x))))))) 2.598 * * [simplify]: iteration 0 : 16 enodes (cost 11 ) 2.598 * * [simplify]: iteration 1 : 16 enodes (cost 11 ) 2.598 * [simplify]: Simplified to: (* 2.0 (atan (log (exp (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x))))))) 3.449 * [regime-testing]: End program error score: 0.015075004688176167