8.855 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (sqrt (- 1.0 (* x x))) 0.020 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.020 * * [simplify]: iteration 1 : 7 enodes (cost 6 ) 0.021 * * [simplify]: iteration 2 : 11 enodes (cost 6 ) 0.023 * * [simplify]: iteration done : 11 enodes (cost 6 ) 0.023 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.033 * * * [progress]: generating series expansions 0.033 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.033 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.033 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.033 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.033 * [taylor]: Taking taylor expansion of 1.0 in x 0.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.035 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.055 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.055 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.056 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.056 * [taylor]: Taking taylor expansion of 1.0 in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.059 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.081 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.081 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.081 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.084 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.105 * * * [progress]: simplifying candidates 0.105 * [simplify]: Simplifying using # : (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.108 * * [simplify]: iteration 0 : 67 enodes (cost 246 ) 0.121 * * [simplify]: iteration 1 : 155 enodes (cost 220 ) 0.166 * * [simplify]: iteration 2 : 454 enodes (cost 206 ) 0.387 * * [simplify]: iteration 3 : 1812 enodes (cost 202 ) 1.205 * * [simplify]: iteration done : 5000 enodes (cost 202 ) 1.205 * [simplify]: Simplified to: (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (pow (sqrt (- 1.0 (* x x))) 3) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow x 6))) (sqrt (+ (pow x 4) (* (+ 1.0 (* x x)) 1.0))) (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (/ 0.5 (* x (sqrt -1))) (* x (sqrt -1))) (/ 0.125 (- (* (sqrt -1) (pow x 3))))) (- (/ 0.125 (- (* (sqrt -1) (pow x 3)))) (+ (/ 0.5 (* x (sqrt -1))) (* x (sqrt -1)))) 1.205 * * * [progress]: adding candidates to table 1.251 * * [progress]: iteration 2 / 4 1.251 * * * [progress]: picking best candidate 1.253 * * * * [pick]: Picked # 1.253 * * * [progress]: localizing error 1.263 * * * [progress]: generating rewritten candidates 1.263 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.281 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.295 * * * [progress]: generating series expansions 1.295 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.296 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in (x) around 0 1.296 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in x 1.296 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 1.296 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 1.296 * [taylor]: Taking taylor expansion of 1.0 in x 1.296 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of 1.0 in x 1.299 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in x 1.299 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 1.299 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 1.299 * [taylor]: Taking taylor expansion of 1.0 in x 1.299 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.299 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.299 * [taylor]: Taking taylor expansion of 1.0 in x 1.327 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 1.328 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 1.328 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 1.328 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 1.328 * [taylor]: Taking taylor expansion of 1.0 in x 1.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.328 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.329 * [taylor]: Taking taylor expansion of 1.0 in x 1.334 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 1.334 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 1.334 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 1.334 * [taylor]: Taking taylor expansion of 1.0 in x 1.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.334 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of 1.0 in x 1.369 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 1.369 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 1.369 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 1.369 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 1.369 * [taylor]: Taking taylor expansion of 1.0 in x 1.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.369 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.369 * [taylor]: Taking taylor expansion of x in x 1.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.370 * [taylor]: Taking taylor expansion of x in x 1.371 * [taylor]: Taking taylor expansion of 1.0 in x 1.375 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 1.375 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 1.375 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 1.375 * [taylor]: Taking taylor expansion of 1.0 in x 1.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.375 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.375 * [taylor]: Taking taylor expansion of x in x 1.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.376 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.376 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of 1.0 in x 1.415 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.415 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 4))) in (x) around 0 1.415 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 4))) in x 1.415 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 1.415 * [taylor]: Taking taylor expansion of 1.0 in x 1.415 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 4))) in x 1.417 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 1.417 * [taylor]: Taking taylor expansion of 1.0 in x 1.417 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.442 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in (x) around 0 1.442 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 1.442 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 1.442 * [taylor]: Taking taylor expansion of 1.0 in x 1.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.442 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.445 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 1.445 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 1.445 * [taylor]: Taking taylor expansion of 1.0 in x 1.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.446 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.482 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in (x) around 0 1.482 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 1.482 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 1.482 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.482 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.492 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 1.492 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 1.492 * [taylor]: Taking taylor expansion of 1.0 in x 1.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.492 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.528 * * * [progress]: simplifying candidates 1.531 * [simplify]: Simplifying using # : (- (log (sqrt (- (* 1.0 1.0) (pow x 4)))) (log (sqrt (+ 1.0 (* x x))))) (log (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (exp (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (/ (* (* (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (* (* (sqrt (+ 1.0 (* x x))) (sqrt (+ 1.0 (* x x)))) (sqrt (+ 1.0 (* x x))))) (* (cbrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (cbrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))))) (cbrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (* (* (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x))) (sqrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (sqrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (- (sqrt (- (* 1.0 1.0) (pow x 4)))) (- (sqrt (+ 1.0 (* x x)))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (sqrt 1)) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) 1) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) (sqrt 1)) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) 1) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt 1)) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) 1) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt 1) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt 1) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt 1) 1) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (pow (sqrt x) 4))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (- 1.0 (pow (sqrt x) 4))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow (sqrt x) 4))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (- 1.0 (pow (sqrt x) 4))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow (sqrt x) 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- 1.0 (pow (sqrt x) 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow (sqrt x) 4))) (sqrt 1)) (/ (sqrt (- 1.0 (pow (sqrt x) 4))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (pow (sqrt x) 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- 1.0 (pow (sqrt x) 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow (sqrt x) 4))) 1) (/ (sqrt (- 1.0 (pow (sqrt x) 4))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (sqrt (pow x 4)))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (- 1.0 (sqrt (pow x 4)))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (sqrt (pow x 4)))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (- 1.0 (sqrt (pow x 4)))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (sqrt (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- 1.0 (sqrt (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (sqrt (pow x 4)))) (sqrt 1)) (/ (sqrt (- 1.0 (sqrt (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (sqrt (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- 1.0 (sqrt (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (sqrt (pow x 4)))) 1) (/ (sqrt (- 1.0 (sqrt (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (pow x (/ 4 2)))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (- 1.0 (pow x (/ 4 2)))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow x (/ 4 2)))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (- 1.0 (pow x (/ 4 2)))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow x (/ 4 2)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- 1.0 (pow x (/ 4 2)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow x (/ 4 2)))) (sqrt 1)) (/ (sqrt (- 1.0 (pow x (/ 4 2)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (pow x (/ 4 2)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- 1.0 (pow x (/ 4 2)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow x (/ 4 2)))) 1) (/ (sqrt (- 1.0 (pow x (/ 4 2)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (sqrt (- (* 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1.0 1.0) (pow x 4))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt 1) (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (pow (sqrt x) 4))) (sqrt (- 1.0 (pow (sqrt x) 4))) (sqrt (+ 1.0 (sqrt (pow x 4)))) (sqrt (- 1.0 (sqrt (pow x 4)))) (sqrt (+ 1.0 (pow x (/ 4 2)))) (sqrt (- 1.0 (pow x (/ 4 2)))) (sqrt (- (pow (* 1.0 1.0) 3) (pow (pow x 4) 3))) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (pow x 4) (pow x 4)) (* (* 1.0 1.0) (pow x 4))))) (sqrt (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (pow x 4) (pow x 4)))) (sqrt (+ (* 1.0 1.0) (pow x 4))) (/ 1 2) (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (- (sqrt 1.0) (+ (* 0.125 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 8) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 4) (sqrt 1.0))))) (- (+ (* (pow x 2) (sqrt -1)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 6) (pow (sqrt -1) 3))))) (- (+ (* (pow x 2) (sqrt -1)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 6) (pow (sqrt -1) 3))))) 1.538 * * [simplify]: iteration 0 : 213 enodes (cost 2813 ) 1.586 * * [simplify]: iteration 1 : 410 enodes (cost 2538 ) 1.713 * * [simplify]: iteration 2 : 1166 enodes (cost 2472 ) 2.313 * * [simplify]: iteration done : 5001 enodes (cost 2452 ) 2.315 * [simplify]: Simplified to: (log (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (log (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (exp (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (pow (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 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(pow x 6))))) (- (+ (* (pow x 2) (sqrt -1)) (/ 0.5 (* (pow x 2) (sqrt -1)))) (/ 0.125 (* (sqrt -1) (- (pow x 6))))) 2.316 * * * [progress]: adding candidates to table 2.580 * [progress]: [Phase 3 of 3] Extracting. 2.580 * * [regime]: Finding splitpoints for: (# #) 2.581 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 2.581 * * * * [regimes]: Trying to branch on (* x x) from (# #) 2.590 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 2.598 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 2.612 * * * * [regimes]: Trying to branch on x from (# #) 2.624 * * * [regime]: Found split indices: #