0.951 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.304 * * * [progress]: [2/2] Setting up program. 0.307 * [progress]: [Phase 2 of 3] Improving. 0.309 * [simplify]: Simplifying using # : (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.314 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 0.315 * * [simplify]: iteration 1 : 19 enodes (cost 6 ) 0.317 * * [simplify]: iteration 2 : 21 enodes (cost 6 ) 0.318 * * [simplify]: iteration 3 : 21 enodes (cost 6 ) 0.318 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.320 * * [progress]: iteration 1 / 4 0.320 * * * [progress]: picking best candidate 0.322 * * * * [pick]: Picked # 0.322 * * * [progress]: localizing error 0.332 * * * [progress]: generating rewritten candidates 0.333 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.343 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.352 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.357 * * * [progress]: generating series expansions 0.357 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.362 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.363 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.363 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.363 * [taylor]: Taking taylor expansion of 1.0 in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.366 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.366 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.390 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.390 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.392 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.392 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.392 * [taylor]: Taking taylor expansion of 1.0 in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.404 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.406 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.417 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.417 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.417 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.417 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.417 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.417 * [taylor]: Taking taylor expansion of 1.0 in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of 1.0 in x 0.423 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.423 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.423 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.423 * [taylor]: Taking taylor expansion of 1.0 in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.445 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.445 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.445 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.452 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.452 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.452 * [taylor]: Taking taylor expansion of 1.0 in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of 1.0 in x 0.480 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.480 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.480 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of 1.0 in x 0.480 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.480 * [taylor]: Taking taylor expansion of 1.0 in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.486 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of 1.0 in x 0.486 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.512 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.512 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.512 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.513 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.513 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.513 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.514 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.514 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.514 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.514 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.515 * * * [progress]: simplifying candidates 0.516 * [simplify]: Simplifying using # : (- (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 (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)))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (* (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.523 * * [simplify]: iteration 0 : 372 enodes (cost 833 ) 0.529 * * [simplify]: iteration 1 : 1088 enodes (cost 797 ) 0.550 * * [simplify]: iteration 2 : 5001 enodes (cost 775 ) 0.555 * [simplify]: Simplified to: (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))) (* (+ (* x (+ x 1.0)) (* 1.0 1.0)) (+ 1.0 x)) (* (+ 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)))) (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))))) (+ 1.0 (* 2.0 (- (pow x 2) x))) (- (/ 2.0 x) (- 1 (/ (- 2.0) (pow x 2)))) (- (/ 2.0 x) (- 1 (/ (- 2.0) (pow x 2)))) (- (* (/ (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)) (+ (/ 0.5 (pow (sqrt -1) 3)) (/ 1.0 (sqrt -1)))) (/ 1.0 (* x (sqrt -1))))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 0.5 (pow (sqrt -1) 3)) (/ 1.0 (sqrt -1)))) (/ 1.0 (* x (sqrt -1))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.556 * * * [progress]: adding candidates to table 0.751 * * [progress]: iteration 2 / 4 0.751 * * * [progress]: picking best candidate 0.756 * * * * [pick]: Picked # 0.756 * * * [progress]: localizing error 0.766 * * * [progress]: generating rewritten candidates 0.766 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.776 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.777 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 1) 0.785 * * * [progress]: generating series expansions 0.785 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.785 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.785 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.785 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.785 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.785 * [taylor]: Taking taylor expansion of 1.0 in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.785 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.785 * [taylor]: Taking taylor expansion of 1.0 in x 0.791 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.791 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.791 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.791 * [taylor]: Taking taylor expansion of 1.0 in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of 1.0 in x 0.816 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.816 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.816 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.816 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.816 * [taylor]: Taking taylor expansion of 1.0 in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of 1.0 in x 0.822 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.822 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.822 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.822 * [taylor]: Taking taylor expansion of 1.0 in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of 1.0 in x 0.847 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.847 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.847 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of 1.0 in x 0.848 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.848 * [taylor]: Taking taylor expansion of 1.0 in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.854 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.854 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.854 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.854 * [taylor]: Taking taylor expansion of 1.0 in x 0.854 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.854 * [taylor]: Taking taylor expansion of 1.0 in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.879 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.879 * [approximate]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) in (x) around 0 0.879 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 0.879 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 0.879 * [approximate]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in (x) around 0 0.880 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 0.880 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 0.880 * [approximate]: Taking taylor expansion of (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in (x) around 0 0.880 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 0.880 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 0.881 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 1) 0.881 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 x)) in (x) around 0 0.881 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 0.881 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.881 * [taylor]: Taking taylor expansion of 1.0 in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 0.883 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.883 * [taylor]: Taking taylor expansion of 1.0 in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.895 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.895 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.896 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.896 * [taylor]: Taking taylor expansion of 1.0 in x 0.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.898 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.898 * [taylor]: Taking taylor expansion of 1.0 in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.906 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of 1.0 in x 0.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of 1.0 in x 0.915 * * * [progress]: simplifying candidates 0.917 * [simplify]: Simplifying using # : (- (log (sqrt (- 1.0 x))) (log (sqrt (+ 1.0 x)))) (log (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (exp (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (* (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (* (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (+ 1.0 x)) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (- (sqrt (- 1.0 x))) (- (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1)) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1)) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) 1) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (cbrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt 1)) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt 1)) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 1) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) 1) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt 1) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt 1)) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt 1)) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) 1) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ (sqrt 1) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) 1) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ 1 1) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (+ 1.0 x)) (cbrt (sqrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (cbrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (- (sqrt 1.0) (sqrt x)))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3)))) (/ (sqrt (- 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x)))) (* (sqrt (+ 1.0 x)) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (log (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (exp (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (cbrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (cbrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))))) (cbrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (* (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (sqrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (sqrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (log (sqrt (- 1.0 x))) (exp (sqrt (- 1.0 x))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (cbrt (sqrt (- 1.0 x))) (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt 1) (sqrt (- 1.0 x)) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt 1) (sqrt (- 1.0 x)) (sqrt (- (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1/2 (/ x (sqrt 1.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.924 * * [simplify]: iteration 0 : 334 enodes (cost 1178 ) 0.929 * * [simplify]: iteration 1 : 1019 enodes (cost 1111 ) 0.950 * * [simplify]: iteration 2 : 5002 enodes (cost 1052 ) 0.956 * [simplify]: Simplified to: (log (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (log (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (exp (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (pow (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) 3) (* (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (pow (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) 3) (/ (- 1.0 x) (+ x 1.0)) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (- (sqrt (- 1.0 x))) (- (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (/ (fabs (cbrt (+ 1.0 x))) (cbrt (sqrt (- 1.0 x))))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (/ (fabs (cbrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (cbrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (fabs (cbrt (- 1.0 x))) (* (fabs (cbrt (+ 1.0 x))) 1)) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (fabs (cbrt (- 1.0 x))) (* (sqrt (sqrt (+ 1.0 x))) 1)) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (fabs (cbrt (- 1.0 x))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (fabs (cbrt (- 1.0 x))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (fabs (cbrt (- 1.0 x))) (* (sqrt (sqrt (+ 1.0 x))) 1)) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (fabs (cbrt (- 1.0 x))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (fabs (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (fabs (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (fabs (cbrt (+ 1.0 x)))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (+ (sqrt 1.0) (sqrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (sqrt (+ (sqrt 1.0) (sqrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (+ (sqrt 1.0) (sqrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (fabs (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (fabs (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (fabs (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (fabs (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (sqrt (- 1.0 x)) (/ (sqrt (+ 1.0 x)) (cbrt (sqrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (cbrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (- (sqrt 1.0) (sqrt x)))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3)))) (/ (sqrt (- 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x)))) (* (sqrt (+ 1.0 x)) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (+ 1.0 x) (log (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (exp (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (cbrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (cbrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))))) (cbrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (pow (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) 3) (sqrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (sqrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (log (sqrt (- 1.0 x))) (exp (sqrt (- 1.0 x))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (cbrt (sqrt (- 1.0 x))) (pow (sqrt (- 1.0 x)) 3) (fabs (cbrt (- 1.0 x))) (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) 1 (sqrt (- 1.0 x)) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (- (sqrt 1.0) (sqrt x))) 1 (sqrt (- 1.0 x)) (sqrt (- (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x)) 1/2 (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (- (* (/ (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)) (+ (/ 0.5 (pow (sqrt -1) 3)) (/ 1.0 (sqrt -1)))) (/ 1.0 (* x (sqrt -1))))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 0.5 (pow (sqrt -1) 3)) (/ 1.0 (sqrt -1)))) (/ 1.0 (* x (sqrt -1))))) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1/2 (/ x (sqrt 1.0))))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) 0.957 * * * [progress]: adding candidates to table 1.155 * * [progress]: iteration 3 / 4 1.155 * * * [progress]: picking best candidate 1.158 * * * * [pick]: Picked # 1.158 * * * [progress]: localizing error 1.172 * * * [progress]: generating rewritten candidates 1.172 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 1.177 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 1.182 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.194 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.205 * * * [progress]: generating series expansions 1.206 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 1.206 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 x)) in (x) around 0 1.206 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 1.206 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.206 * [taylor]: Taking taylor expansion of 1.0 in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.208 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 1.208 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.208 * [taylor]: Taking taylor expansion of 1.0 in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.219 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.219 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.219 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.219 * [taylor]: Taking taylor expansion of 1.0 in x 1.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.219 * [taylor]: Taking taylor expansion of x in x 1.221 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.221 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.221 * [taylor]: Taking taylor expansion of 1.0 in x 1.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.233 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 1.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.233 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.233 * [taylor]: Taking taylor expansion of x in x 1.233 * [taylor]: Taking taylor expansion of 1.0 in x 1.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.235 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.235 * [taylor]: Taking taylor expansion of x in x 1.235 * [taylor]: Taking taylor expansion of 1.0 in x 1.242 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 1.243 * [approximate]: Taking taylor expansion of (pow (sqrt (- 1.0 x)) 3) in (x) around 0 1.243 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 x)) 3) in x 1.243 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 1.243 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.243 * [taylor]: Taking taylor expansion of 1.0 in x 1.243 * [taylor]: Taking taylor expansion of x in x 1.245 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 x)) 3) in x 1.245 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 1.245 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.245 * [taylor]: Taking taylor expansion of 1.0 in x 1.245 * [taylor]: Taking taylor expansion of x in x 1.278 * [approximate]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 x))) 3) in (x) around 0 1.278 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 x))) 3) in x 1.278 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.278 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.278 * [taylor]: Taking taylor expansion of 1.0 in x 1.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.280 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 x))) 3) in x 1.280 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.280 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.280 * [taylor]: Taking taylor expansion of 1.0 in x 1.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.280 * [taylor]: Taking taylor expansion of x in x 1.295 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (/ 1 x) 1.0)) 3) in (x) around 0 1.295 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 x) 1.0)) 3) in x 1.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.295 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of 1.0 in x 1.297 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 x) 1.0)) 3) in x 1.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.297 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.297 * [taylor]: Taking taylor expansion of x in x 1.298 * [taylor]: Taking taylor expansion of 1.0 in x 1.314 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 1.314 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.314 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.314 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.314 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.314 * [taylor]: Taking taylor expansion of 1.0 in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.314 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of 1.0 in x 1.320 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.320 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.320 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.320 * [taylor]: Taking taylor expansion of 1.0 in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.320 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.320 * [taylor]: Taking taylor expansion of 1.0 in x 1.341 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.341 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.341 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.341 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.341 * [taylor]: Taking taylor expansion of 1.0 in x 1.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.341 * [taylor]: Taking taylor expansion of x in x 1.341 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.342 * [taylor]: Taking taylor expansion of 1.0 in x 1.348 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.348 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.348 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.348 * [taylor]: Taking taylor expansion of 1.0 in x 1.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.348 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.348 * [taylor]: Taking taylor expansion of x in x 1.349 * [taylor]: Taking taylor expansion of 1.0 in x 1.372 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.372 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.372 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.372 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.372 * [taylor]: Taking taylor expansion of x in x 1.373 * [taylor]: Taking taylor expansion of 1.0 in x 1.373 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.373 * [taylor]: Taking taylor expansion of 1.0 in x 1.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.373 * [taylor]: Taking taylor expansion of x in x 1.379 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.379 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.379 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.379 * [taylor]: Taking taylor expansion of x in x 1.379 * [taylor]: Taking taylor expansion of 1.0 in x 1.379 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.379 * [taylor]: Taking taylor expansion of 1.0 in x 1.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.379 * [taylor]: Taking taylor expansion of x in x 1.405 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.406 * [approximate]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) in (x) around 0 1.406 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 1.406 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 1.406 * [approximate]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in (x) around 0 1.406 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 1.407 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 1.407 * [approximate]: Taking taylor expansion of (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in (x) around 0 1.407 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 1.407 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 1.408 * * * [progress]: simplifying candidates 1.411 * [simplify]: Simplifying using # : (log (cbrt (pow (sqrt (- 1.0 x)) 3))) (exp (cbrt (pow (sqrt (- 1.0 x)) 3))) (cbrt (pow (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) 3)) (cbrt (pow (cbrt (sqrt (- 1.0 x))) 3)) (cbrt (pow (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3)) (cbrt (pow (sqrt (cbrt (- 1.0 x))) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (- 1.0 x)) 3)) (cbrt (pow (sqrt (+ (sqrt 1.0) (sqrt x))) 3)) (cbrt (pow (sqrt (- (sqrt 1.0) (sqrt x))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (- 1.0 x)) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (- 1.0 x)) 3)) (cbrt (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x)))) (cbrt (sqrt (- 1.0 x))) (cbrt (* (cbrt (pow (sqrt (- 1.0 x)) 3)) (cbrt (pow (sqrt (- 1.0 x)) 3)))) (cbrt (cbrt (pow (sqrt (- 1.0 x)) 3))) (cbrt (sqrt (pow (sqrt (- 1.0 x)) 3))) (cbrt (sqrt (pow (sqrt (- 1.0 x)) 3))) (cbrt 1) (cbrt (pow (sqrt (- 1.0 x)) 3)) (cbrt (pow (sqrt (- 1.0 x)) (/ 3 2))) (cbrt (pow (sqrt (- 1.0 x)) (/ 3 2))) (* (cbrt (cbrt (pow (sqrt (- 1.0 x)) 3))) (cbrt (cbrt (pow (sqrt (- 1.0 x)) 3)))) (cbrt (cbrt (pow (sqrt (- 1.0 x)) 3))) (* (* (cbrt (pow (sqrt (- 1.0 x)) 3)) (cbrt (pow (sqrt (- 1.0 x)) 3))) (cbrt (pow (sqrt (- 1.0 x)) 3))) (sqrt (cbrt (pow (sqrt (- 1.0 x)) 3))) (sqrt (cbrt (pow (sqrt (- 1.0 x)) 3))) (* (log (sqrt (- 1.0 x))) 3) (* (log (sqrt (- 1.0 x))) 3) (* 1/2 3) (* 1 3) (* (/ 1 2) 3) (pow (sqrt (- 1.0 x)) (* (cbrt 3) (cbrt 3))) (pow (sqrt (- 1.0 x)) (sqrt 3)) (pow (sqrt (- 1.0 x)) 1) (pow (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) 3) (pow (cbrt (sqrt (- 1.0 x))) 3) (pow (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3) (pow (sqrt (cbrt (- 1.0 x))) 3) (pow (sqrt (sqrt (- 1.0 x))) 3) (pow (sqrt (sqrt (- 1.0 x))) 3) (pow (sqrt 1) 3) (pow (sqrt (- 1.0 x)) 3) (pow (sqrt (+ (sqrt 1.0) (sqrt x))) 3) (pow (sqrt (- (sqrt 1.0) (sqrt x))) 3) (pow (sqrt 1) 3) (pow (sqrt (- 1.0 x)) 3) (pow (sqrt (sqrt (- 1.0 x))) 3) (pow (sqrt (sqrt (- 1.0 x))) 3) (pow 1 3) (pow (sqrt (- 1.0 x)) 3) (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (log (pow (sqrt (- 1.0 x)) 3)) (exp (pow (sqrt (- 1.0 x)) 3)) (* (cbrt (pow (sqrt (- 1.0 x)) 3)) (cbrt (pow (sqrt (- 1.0 x)) 3))) (cbrt (pow (sqrt (- 1.0 x)) 3)) (* (* (pow (sqrt (- 1.0 x)) 3) (pow (sqrt (- 1.0 x)) 3)) (pow (sqrt (- 1.0 x)) 3)) (/ 3 2) (sqrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (pow (sqrt (- 1.0 x)) 3)) (pow (sqrt (- 1.0 x)) (/ 3 2)) (pow (sqrt (- 1.0 x)) (/ 3 2)) (- (log (cbrt (pow (sqrt (- 1.0 x)) 3))) (log (sqrt (+ 1.0 x)))) (log (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (+ 1.0 x)))) (exp (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (+ 1.0 x)))) (/ (pow (sqrt (- 1.0 x)) 3) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (/ (* (* (cbrt (pow (sqrt (- 1.0 x)) 3)) (cbrt (pow (sqrt (- 1.0 x)) 3))) (cbrt (pow (sqrt (- 1.0 x)) 3))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (* (cbrt (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (+ 1.0 x)))) (cbrt (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (+ 1.0 x))))) (cbrt (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (+ 1.0 x)))) (* (* (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (+ 1.0 x))) (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (+ 1.0 x)))) (- (cbrt (pow (sqrt (- 1.0 x)) 3))) (- (sqrt (+ 1.0 x))) (/ (cbrt (pow (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) 3)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (pow (cbrt (sqrt (- 1.0 x))) 3)) (cbrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) 3)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (cbrt (pow (cbrt (sqrt (- 1.0 x))) 3)) (sqrt (cbrt (+ 1.0 x)))) (/ (cbrt (pow (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (cbrt (sqrt (- 1.0 x))) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) 3)) (sqrt 1)) (/ (cbrt (pow (cbrt (sqrt (- 1.0 x))) 3)) (sqrt (+ 1.0 x))) (/ (cbrt (pow (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) 3)) (sqrt 1)) (/ (cbrt (pow (cbrt (sqrt (- 1.0 x))) 3)) (sqrt (+ 1.0 x))) (/ (cbrt (pow (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (cbrt (sqrt (- 1.0 x))) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) 3)) 1) (/ (cbrt (pow (cbrt (sqrt (- 1.0 x))) 3)) (sqrt (+ 1.0 x))) (/ (cbrt (pow (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (pow (sqrt (cbrt (- 1.0 x))) 3)) (cbrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (cbrt (pow (sqrt (cbrt (- 1.0 x))) 3)) (sqrt (cbrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (cbrt (- 1.0 x))) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3)) (sqrt 1)) (/ (cbrt (pow (sqrt (cbrt (- 1.0 x))) 3)) (sqrt (+ 1.0 x))) (/ (cbrt (pow (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3)) (sqrt 1)) (/ (cbrt (pow (sqrt (cbrt (- 1.0 x))) 3)) (sqrt (+ 1.0 x))) (/ (cbrt (pow (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (cbrt (- 1.0 x))) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3)) 1) (/ (cbrt (pow (sqrt (cbrt (- 1.0 x))) 3)) (sqrt (+ 1.0 x))) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (cbrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (sqrt (cbrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (sqrt 1)) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (sqrt (+ 1.0 x))) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (sqrt 1)) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (sqrt (+ 1.0 x))) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) 1) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (sqrt (+ 1.0 x))) (/ (cbrt (pow (sqrt 1) 3)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (cbrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt 1) 3)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (cbrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt 1) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt 1) 3)) (sqrt 1)) (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (+ 1.0 x))) (/ (cbrt (pow (sqrt 1) 3)) (sqrt 1)) (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (+ 1.0 x))) (/ (cbrt (pow (sqrt 1) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt 1) 3)) 1) (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (+ 1.0 x))) (/ (cbrt (pow (sqrt (+ (sqrt 1.0) (sqrt x))) 3)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (pow (sqrt (- (sqrt 1.0) (sqrt x))) 3)) (cbrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (+ (sqrt 1.0) (sqrt x))) 3)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (cbrt (pow (sqrt (- (sqrt 1.0) (sqrt x))) 3)) (sqrt (cbrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (+ (sqrt 1.0) (sqrt x))) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (- (sqrt 1.0) (sqrt x))) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (+ (sqrt 1.0) (sqrt x))) 3)) (sqrt 1)) (/ (cbrt (pow (sqrt (- (sqrt 1.0) (sqrt x))) 3)) (sqrt (+ 1.0 x))) (/ (cbrt (pow (sqrt (+ (sqrt 1.0) (sqrt x))) 3)) (sqrt 1)) (/ (cbrt (pow (sqrt (- (sqrt 1.0) (sqrt x))) 3)) (sqrt (+ 1.0 x))) (/ (cbrt (pow (sqrt (+ (sqrt 1.0) (sqrt x))) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (- (sqrt 1.0) (sqrt x))) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (+ (sqrt 1.0) (sqrt x))) 3)) 1) (/ (cbrt (pow (sqrt (- (sqrt 1.0) (sqrt x))) 3)) (sqrt (+ 1.0 x))) (/ (cbrt (pow (sqrt 1) 3)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (cbrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt 1) 3)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (cbrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt 1) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt 1) 3)) (sqrt 1)) (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (+ 1.0 x))) (/ (cbrt (pow (sqrt 1) 3)) (sqrt 1)) (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (+ 1.0 x))) (/ (cbrt (pow (sqrt 1) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt 1) 3)) 1) (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (+ 1.0 x))) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (cbrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (sqrt (cbrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (sqrt 1)) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (sqrt (+ 1.0 x))) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (sqrt 1)) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (sqrt (+ 1.0 x))) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt (sqrt (- 1.0 x))) 3)) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (pow (sqrt 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(* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (/ (/ 1.0 (sqrt -1)) x)) (+ (- (sqrt -1) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (/ (/ 1.0 (sqrt -1)) x)) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1.474 * * * [progress]: adding candidates to table 1.787 * [progress]: [Phase 3 of 3] Extracting. 1.791 * [simplify]: Simplifying using # : (* 2.0 (atan (fabs (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (+ 1.0 x)))))) 1.792 * * [simplify]: iteration 0 : 16 enodes (cost 10 ) 1.792 * * [simplify]: iteration 1 : 16 enodes (cost 10 ) 1.792 * [simplify]: Simplified to: (* 2.0 (atan (fabs (/ (cbrt (pow (sqrt (- 1.0 x)) 3)) (sqrt (+ 1.0 x)))))) 2.659 * [regime-testing]: End program error score: 0.025515031567076896