8.263 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (sqrt (- 1.0 (* x x))) 0.018 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.019 * * [simplify]: iteration 1 : 7 enodes (cost 6 ) 0.019 * * [simplify]: iteration 2 : 11 enodes (cost 6 ) 0.021 * * [simplify]: iteration done : 11 enodes (cost 6 ) 0.021 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.030 * * * [progress]: generating series expansions 0.030 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.030 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.030 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.030 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.030 * [taylor]: Taking taylor expansion of 1.0 in x 0.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.032 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.032 * [taylor]: Taking taylor expansion of 1.0 in x 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.047 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.047 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.047 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.051 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.051 * [taylor]: Taking taylor expansion of 1.0 in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.072 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.072 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.072 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.079 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.098 * * * [progress]: simplifying candidates 0.099 * [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)))) 0.101 * * [simplify]: iteration 0 : 67 enodes (cost 246 ) 0.113 * * [simplify]: iteration 1 : 155 enodes (cost 220 ) 0.151 * * [simplify]: iteration 2 : 483 enodes (cost 206 ) 0.396 * * [simplify]: iteration 3 : 2486 enodes (cost 202 ) 1.254 * * [simplify]: iteration done : 5001 enodes (cost 202 ) 1.254 * [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 (+ 1.0 (* x x))))) (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)))) 1.255 * * * [progress]: adding candidates to table 1.300 * * [progress]: iteration 2 / 4 1.301 * * * [progress]: picking best candidate 1.303 * * * * [pick]: Picked # 1.304 * * * [progress]: localizing error 1.317 * * * [progress]: generating rewritten candidates 1.317 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.331 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 1.360 * * * [progress]: generating series expansions 1.360 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.362 * [approximate]: Taking taylor expansion of (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) in (x) around 0 1.362 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) in x 1.362 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) in x 1.362 * [taylor]: Taking taylor expansion of 1/8 in x 1.362 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow (sqrt 1.0) 3)) in x 1.362 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.362 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.362 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.362 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 1.367 * [taylor]: Taking taylor expansion of 1/2 in x 1.367 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 1.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.367 * [taylor]: Taking taylor expansion of 1.0 in x 1.369 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) in x 1.369 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) in x 1.369 * [taylor]: Taking taylor expansion of 1/8 in x 1.369 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow (sqrt 1.0) 3)) in x 1.369 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.369 * [taylor]: Taking taylor expansion of x in x 1.369 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.369 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.369 * [taylor]: Taking taylor expansion of 1.0 in x 1.374 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 1.374 * [taylor]: Taking taylor expansion of 1/2 in x 1.374 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 1.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.374 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.374 * [taylor]: Taking taylor expansion of 1.0 in x 1.455 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in (x) around 0 1.455 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in x 1.455 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) in x 1.455 * [taylor]: Taking taylor expansion of 1/2 in x 1.455 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (sqrt 1.0))) in x 1.455 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.455 * [taylor]: Taking taylor expansion of 1.0 in x 1.458 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 1.458 * [taylor]: Taking taylor expansion of 1/8 in x 1.458 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 1.458 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 1.458 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.458 * [taylor]: Taking taylor expansion of x in x 1.458 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.458 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.458 * [taylor]: Taking taylor expansion of 1.0 in x 1.463 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in x 1.463 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) in x 1.464 * [taylor]: Taking taylor expansion of 1/2 in x 1.464 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (sqrt 1.0))) in x 1.464 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.464 * [taylor]: Taking taylor expansion of x in x 1.464 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.464 * [taylor]: Taking taylor expansion of 1.0 in x 1.466 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 1.466 * [taylor]: Taking taylor expansion of 1/8 in x 1.466 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 1.466 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 1.466 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.466 * [taylor]: Taking taylor expansion of x in x 1.466 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.466 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.466 * [taylor]: Taking taylor expansion of 1.0 in x 1.572 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in (x) around 0 1.572 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in x 1.572 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) in x 1.572 * [taylor]: Taking taylor expansion of 1/2 in x 1.572 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (sqrt 1.0))) in x 1.572 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.572 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.572 * [taylor]: Taking taylor expansion of x in x 1.572 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.572 * [taylor]: Taking taylor expansion of 1.0 in x 1.574 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 1.574 * [taylor]: Taking taylor expansion of 1/8 in x 1.574 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 1.574 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 1.574 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.574 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.574 * [taylor]: Taking taylor expansion of 1.0 in x 1.580 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in x 1.580 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) in x 1.580 * [taylor]: Taking taylor expansion of 1/2 in x 1.580 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (sqrt 1.0))) in x 1.580 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.580 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.580 * [taylor]: Taking taylor expansion of x in x 1.580 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.580 * [taylor]: Taking taylor expansion of 1.0 in x 1.582 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 1.582 * [taylor]: Taking taylor expansion of 1/8 in x 1.582 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 1.582 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 1.582 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.582 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.582 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.582 * [taylor]: Taking taylor expansion of 1.0 in x 1.685 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 1.686 * [approximate]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in (x) around 0 1.686 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 1.686 * [taylor]: Taking taylor expansion of 1/2 in x 1.686 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 1.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.686 * [taylor]: Taking taylor expansion of x in x 1.686 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.686 * [taylor]: Taking taylor expansion of 1.0 in x 1.687 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 1.687 * [taylor]: Taking taylor expansion of 1/2 in x 1.687 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 1.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.688 * [taylor]: Taking taylor expansion of x in x 1.688 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.688 * [taylor]: Taking taylor expansion of 1.0 in x 1.714 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in (x) around 0 1.714 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 1.715 * [taylor]: Taking taylor expansion of 1/2 in x 1.715 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.715 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.715 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.715 * [taylor]: Taking taylor expansion of 1.0 in x 1.717 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 1.717 * [taylor]: Taking taylor expansion of 1/2 in x 1.717 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.717 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.717 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.717 * [taylor]: Taking taylor expansion of 1.0 in x 1.739 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in (x) around 0 1.739 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 1.739 * [taylor]: Taking taylor expansion of 1/2 in x 1.739 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.739 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.739 * [taylor]: Taking taylor expansion of x in x 1.739 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.740 * [taylor]: Taking taylor expansion of 1.0 in x 1.742 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 1.742 * [taylor]: Taking taylor expansion of 1/2 in x 1.742 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.742 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.742 * [taylor]: Taking taylor expansion of x in x 1.742 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.742 * [taylor]: Taking taylor expansion of 1.0 in x 1.764 * * * [progress]: simplifying candidates 1.766 * [simplify]: Simplifying using # : (* (exp (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (exp (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (log (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (exp (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (* (cbrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (cbrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))))) (cbrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (* (* (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (sqrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (sqrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (* (* 1/8 (pow x 4)) (sqrt 1.0)) (* (pow (sqrt 1.0) 3) (* 1/2 (pow x 2)))) (* (pow (sqrt 1.0) 3) (sqrt 1.0)) (+ (pow (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) 3) (pow (* 1/2 (/ (pow x 2) (sqrt 1.0))) 3)) (+ (* (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (* (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))))) (- (* (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (* (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (+ (log 1/2) (- (* (log x) 2) (log (sqrt 1.0)))) (+ (log 1/2) (- (* (log x) 2) (log (sqrt 1.0)))) (+ (log 1/2) (- (log (pow x 2)) (log (sqrt 1.0)))) (+ (log 1/2) (log (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (exp (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (* (* 1/2 1/2) 1/2) (/ (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)))) (* (* (* 1/2 1/2) 1/2) (* (* (/ (pow x 2) (sqrt 1.0)) (/ (pow x 2) (sqrt 1.0))) (/ (pow x 2) (sqrt 1.0)))) (* (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (* (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (sqrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (sqrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* 1/2 (* (cbrt (/ (pow x 2) (sqrt 1.0))) (cbrt (/ (pow x 2) (sqrt 1.0))))) (* 1/2 (sqrt (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt 1))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) 1)) (* 1/2 (/ (pow (sqrt x) 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt 1))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (sqrt x) 2) 1)) (* 1/2 (/ (pow 1 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow 1 2) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow 1 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow 1 2) (sqrt 1))) (* 1/2 (/ (pow 1 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow 1 2) 1)) (* 1/2 (/ x (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ x (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ x (sqrt (sqrt 1.0)))) (* 1/2 (/ x (sqrt 1))) (* 1/2 (/ x (sqrt (sqrt 1.0)))) (* 1/2 (/ x 1)) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (sqrt 1.0)))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt 1))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (sqrt 1.0)))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1)) (* 1/2 (/ (sqrt (pow x 2)) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt 1))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (sqrt (pow x 2)) 1)) (* 1/2 (/ 1 (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ 1 (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ 1 (sqrt (sqrt 1.0)))) (* 1/2 (/ 1 (sqrt 1))) (* 1/2 (/ 1 (sqrt (sqrt 1.0)))) (* 1/2 (/ 1 1)) (* 1/2 (/ (pow x (/ 2 2)) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt 1))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow x (/ 2 2)) 1)) (* 1/2 1) (* 1/2 (pow x 2)) (* (cbrt 1/2) (/ (pow x 2) (sqrt 1.0))) (* (sqrt 1/2) (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (pow x 2)) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) 1.771 * * [simplify]: iteration 0 : 183 enodes (cost 1438 ) 1.836 * * [simplify]: iteration 1 : 468 enodes (cost 1262 ) 2.035 * * [simplify]: iteration 2 : 1821 enodes (cost 1122 ) 2.608 * * [simplify]: iteration done : 5000 enodes (cost 1122 ) 2.609 * [simplify]: Simplified to: (exp (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (log (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (exp (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (* (cbrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (cbrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))))) (cbrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (pow (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) 3) (sqrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (sqrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (* (* 1/8 (pow x 4)) (sqrt 1.0)) (* (pow (sqrt 1.0) 3) (* 1/2 (pow x 2)))) (* 1.0 1.0) (+ (pow (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) 3) (pow (* 1/2 (/ (pow x 2) (sqrt 1.0))) 3)) (- (+ (* 1/4 (/ (pow x 4) 1.0)) (* 1/64 (* (/ (pow x 4) (pow (sqrt 1.0) 3)) (/ (pow x 4) (pow (sqrt 1.0) 3))))) (* (* (/ (pow x 4) (pow (sqrt 1.0) 3)) 1/16) (/ (pow x 2) (sqrt 1.0)))) (- (* 1/64 (* (/ (pow x 4) (pow (sqrt 1.0) 3)) (/ (pow x 4) (pow (sqrt 1.0) 3)))) (* 1/4 (/ (pow x 4) 1.0))) (- (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (/ (/ (pow x 2) (sqrt 1.0)) 2) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (exp (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (pow (* 1/2 (/ (pow x 2) (sqrt 1.0))) 3) (pow (* 1/2 (/ (pow x 2) (sqrt 1.0))) 3) (* (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (pow (* 1/2 (/ (pow x 2) (sqrt 1.0))) 3) (sqrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (sqrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (sqrt 1.0)))) (* (/ x (sqrt (sqrt 1.0))) (sqrt 1/2)) (* (/ x (sqrt (sqrt 1.0))) (sqrt 1/2)) (* (/ x (sqrt (sqrt 1.0))) (sqrt 1/2)) (* (/ x (sqrt (sqrt 1.0))) (sqrt 1/2)) (* (/ x (sqrt (sqrt 1.0))) (sqrt 1/2)) (* (/ x (sqrt (sqrt 1.0))) (sqrt 1/2)) (* (/ x (sqrt (sqrt 1.0))) (sqrt 1/2)) (* (/ x (sqrt (sqrt 1.0))) (sqrt 1/2)) (/ (* (fabs x) (sqrt 1/2)) (sqrt (sqrt 1.0))) (/ (* (fabs x) (sqrt 1/2)) (sqrt (sqrt 1.0))) (/ (* (fabs x) (sqrt 1/2)) (sqrt (sqrt 1.0))) (/ (* (fabs x) (sqrt 1/2)) (sqrt (sqrt 1.0))) (* (/ x (sqrt (sqrt 1.0))) (sqrt 1/2)) (* (/ x (sqrt (sqrt 1.0))) (sqrt 1/2)) (* (/ x (sqrt (sqrt 1.0))) (sqrt 1/2)) (* (/ x (sqrt (sqrt 1.0))) (sqrt 1/2)) (* 1/2 (* (cbrt (/ (pow x 2) (sqrt 1.0))) (cbrt (/ (pow x 2) (sqrt 1.0))))) (* 1/2 (sqrt (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (fabs (cbrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (sqrt 1.0)))) (* (pow (* (cbrt x) (cbrt x)) 2) 1/2) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (sqrt 1.0)))) (* (pow (* (cbrt x) (cbrt x)) 2) 1/2) (* 1/2 (/ x (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* (/ x (fabs (cbrt 1.0))) 1/2) (* 1/2 (/ x (sqrt (sqrt 1.0)))) (/ x 2) (* 1/2 (/ x (sqrt (sqrt 1.0)))) (/ x 2) (/ 1/2 (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (/ 1/2 (fabs (cbrt 1.0))) (/ 1/2 (sqrt (sqrt 1.0))) 1/2 (/ 1/2 (sqrt (sqrt 1.0))) 1/2 (* 1/2 (/ x (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* (/ x (fabs (cbrt 1.0))) 1/2) (* 1/2 (/ x (sqrt (sqrt 1.0)))) (/ x 2) (* 1/2 (/ x (sqrt (sqrt 1.0)))) (/ x 2) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (fabs (cbrt 1.0))) 1/2) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (sqrt 1.0)))) (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1/2) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (sqrt 1.0)))) (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1/2) (* (/ 1/2 (cbrt (sqrt 1.0))) (/ (fabs x) (cbrt (sqrt 1.0)))) (* (/ (fabs x) (fabs (cbrt 1.0))) 1/2) (/ (fabs x) (/ (sqrt (sqrt 1.0)) 1/2)) (/ (fabs x) 2) (/ (fabs x) (/ (sqrt (sqrt 1.0)) 1/2)) (/ (fabs x) 2) (/ 1/2 (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (/ 1/2 (fabs (cbrt 1.0))) (/ 1/2 (sqrt (sqrt 1.0))) 1/2 (/ 1/2 (sqrt (sqrt 1.0))) 1/2 (* 1/2 (/ x (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* (/ x (fabs (cbrt 1.0))) 1/2) (* 1/2 (/ x (sqrt (sqrt 1.0)))) (/ x 2) (* 1/2 (/ x (sqrt (sqrt 1.0)))) (/ x 2) 1/2 (* 1/2 (pow x 2)) (* (cbrt 1/2) (/ (pow x 2) (sqrt 1.0))) (* (sqrt 1/2) (/ (pow x 2) (sqrt 1.0))) (/ (/ (pow x 2) (sqrt 1.0)) 2) (* 1/2 (pow x 2)) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (/ (/ (pow x 2) (sqrt 1.0)) 2) (/ (/ (pow x 2) (sqrt 1.0)) 2) (/ (/ (pow x 2) (sqrt 1.0)) 2) 2.610 * * * [progress]: adding candidates to table 2.881 * [progress]: [Phase 3 of 3] Extracting. 2.885 * [simplify]: Simplifying using # : (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) 2.885 * * [simplify]: iteration 0 : 17 enodes (cost 22 ) 2.886 * * [simplify]: iteration 1 : 20 enodes (cost 22 ) 2.886 * * [simplify]: iteration done : 20 enodes (cost 22 ) 2.886 * [simplify]: Simplified to: (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) 3.460 * [regime-testing]: End program error score: 0.1607233927500372