3.021 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.037 * * * [progress]: [2/2] Setting up program. 0.039 * [progress]: [Phase 2 of 3] Improving. 0.039 * [simplify]: Simplifying using # : (- (log (- (/ 1.0 x) 1.0))) 0.042 * * [simplify]: iteration 0 : 8 enodes (cost 4 ) 0.043 * * [simplify]: iteration 1 : 9 enodes (cost 4 ) 0.044 * * [simplify]: iteration 2 : 9 enodes (cost 4 ) 0.044 * [simplify]: Simplified to: (- (log (- (/ 1.0 x) 1.0))) 0.044 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.046 * * * [progress]: localizing error 0.052 * * * [progress]: generating rewritten candidates 0.052 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.062 * * * [progress]: generating series expansions 0.062 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.062 * [approximate]: Taking taylor expansion of (log (- (* 1.0 (/ 1 x)) 1.0)) in (x) around 0 0.062 * [taylor]: Taking taylor expansion of (log (- (* 1.0 (/ 1 x)) 1.0)) in x 0.062 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) 1.0) in x 0.062 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.062 * [taylor]: Taking taylor expansion of 1.0 in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of 1.0 in x 0.063 * [taylor]: Taking taylor expansion of (log (- (* 1.0 (/ 1 x)) 1.0)) in x 0.063 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) 1.0) in x 0.063 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of 1.0 in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [approximate]: Taking taylor expansion of (log (- (* 1.0 x) 1.0)) in (x) around 0 0.082 * [taylor]: Taking taylor expansion of (log (- (* 1.0 x) 1.0)) in x 0.082 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 1.0) in x 0.082 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [taylor]: Taking taylor expansion of (log (- (* 1.0 x) 1.0)) in x 0.084 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 1.0) in x 0.084 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [approximate]: Taking taylor expansion of (log (- (+ (* 1.0 x) 1.0))) in (x) around 0 0.101 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 x) 1.0))) in x 0.101 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) 1.0)) in x 0.101 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) 1.0) in x 0.101 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 x) 1.0))) in x 0.103 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) 1.0)) in x 0.103 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) 1.0) in x 0.103 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.123 * * * [progress]: simplifying candidates 0.124 * [simplify]: Simplifying using # : (expm1 (log (- (/ 1.0 x) 1.0))) (log1p (log (- (/ 1.0 x) 1.0))) (log (* (cbrt (- (/ 1.0 x) 1.0)) (cbrt (- (/ 1.0 x) 1.0)))) (log (cbrt (- (/ 1.0 x) 1.0))) (log (sqrt (- (/ 1.0 x) 1.0))) (log (sqrt (- (/ 1.0 x) 1.0))) (log 1) (log (- (/ 1.0 x) 1.0)) (log (+ (sqrt (/ 1.0 x)) (sqrt 1.0))) (log (- (sqrt (/ 1.0 x)) (sqrt 1.0))) (log (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (log 1) (log (- (/ 1.0 x) 1.0)) (log (- (pow (/ 1.0 x) 3) (pow 1.0 3))) (log (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* 1.0 1.0) (* (/ 1.0 x) 1.0)))) (log (- (* (/ 1.0 x) (/ 1.0 x)) (* 1.0 1.0))) (log (+ (/ 1.0 x) 1.0)) (log (- (/ 1.0 x) 1.0)) (log (log (- (/ 1.0 x) 1.0))) (exp (log (- (/ 1.0 x) 1.0))) (* (cbrt (log (- (/ 1.0 x) 1.0))) (cbrt (log (- (/ 1.0 x) 1.0)))) (cbrt (log (- (/ 1.0 x) 1.0))) (* (* (log (- (/ 1.0 x) 1.0)) (log (- (/ 1.0 x) 1.0))) (log (- (/ 1.0 x) 1.0))) (sqrt (log (- (/ 1.0 x) 1.0))) (sqrt (log (- (/ 1.0 x) 1.0))) (- (log 1.0) (+ (log x) (+ (* 1.0 x) (* 0.5 (/ (pow x 2) (pow 1.0 2)))))) (- (log (- 1.0)) (+ (* 0.5 (/ 1 (* (pow x 2) (pow -1.0 2)))) (* 1.0 (/ 1 x)))) (- (log (- 1.0)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1.0 (/ 1 x)))) 0.127 * * [simplify]: iteration 0 : 161 enodes (cost 151 ) 0.130 * * [simplify]: iteration 1 : 452 enodes (cost 138 ) 0.137 * * [simplify]: iteration 2 : 1918 enodes (cost 137 ) 0.184 * * [simplify]: iteration 3 : 5003 enodes (cost 137 ) 0.185 * [simplify]: Simplified to: (expm1 (log (- (/ 1.0 x) 1.0))) (log1p (log (- (/ 1.0 x) 1.0))) (* 2 (log (cbrt (- (/ 1.0 x) 1.0)))) (log (cbrt (- (/ 1.0 x) 1.0))) (log (sqrt (- (/ 1.0 x) 1.0))) (log (sqrt (- (/ 1.0 x) 1.0))) 0 (log (- (/ 1.0 x) 1.0)) (log (+ (sqrt (/ 1.0 x)) (sqrt 1.0))) (log (- (sqrt (/ 1.0 x)) (sqrt 1.0))) (log (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) 0 (log (- (/ 1.0 x) 1.0)) (log (- (pow (/ 1.0 x) 3) (pow 1.0 3))) (log (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* 1.0 1.0) (* (/ 1.0 x) 1.0)))) (log (- (* (/ 1.0 x) (/ 1.0 x)) (* 1.0 1.0))) (log (+ (/ 1.0 x) 1.0)) (log (- (/ 1.0 x) 1.0)) (log (log (- (/ 1.0 x) 1.0))) (- (/ 1.0 x) 1.0) (* (cbrt (log (- (/ 1.0 x) 1.0))) (cbrt (log (- (/ 1.0 x) 1.0)))) (cbrt (log (- (/ 1.0 x) 1.0))) (pow (log (- (/ 1.0 x) 1.0)) 3) (sqrt (log (- (/ 1.0 x) 1.0))) (sqrt (log (- (/ 1.0 x) 1.0))) (- (- (log 1.0) (log x)) (fma 1.0 x (* 0.5 (/ (pow x 2) (pow 1.0 2))))) (- (log (- 1.0)) (- (/ (/ 0.5 (pow -1.0 2)) (pow x 2)) (/ (- 1.0) x))) (- (- (log (- 1.0)) (* 1.0 (/ 1 x))) (/ 1/2 (pow x 2))) 0.185 * * * [progress]: adding candidates to table 0.234 * * [progress]: iteration 2 / 4 0.234 * * * [progress]: picking best candidate 0.236 * * * * [pick]: Picked # 0.236 * * * [progress]: localizing error 0.245 * * * [progress]: generating rewritten candidates 0.245 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 0.255 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.266 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.274 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.286 * * * [progress]: generating series expansions 0.286 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 0.286 * [approximate]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 x)) 1.0)) in (x) around 0 0.286 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 x)) 1.0)) in x 0.286 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) 1.0) in x 0.286 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.288 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 x)) 1.0)) in x 0.288 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) 1.0) in x 0.288 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.288 * [taylor]: Taking taylor expansion of 1.0 in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [approximate]: Taking taylor expansion of (sqrt (- (* 1.0 x) 1.0)) in (x) around 0 0.298 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 x) 1.0)) in x 0.298 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 1.0) in x 0.298 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.302 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 x) 1.0)) in x 0.302 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 1.0) in x 0.302 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.302 * [taylor]: Taking taylor expansion of 1.0 in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of 1.0 in x 0.320 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* 1.0 x) 1.0))) in (x) around 0 0.320 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 x) 1.0))) in x 0.320 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) 1.0)) in x 0.320 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) 1.0) in x 0.320 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.320 * [taylor]: Taking taylor expansion of 1.0 in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 x) 1.0))) in x 0.325 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) 1.0)) in x 0.325 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) 1.0) in x 0.325 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.340 * [approximate]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 x)) 1.0)) in (x) around 0 0.340 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 x)) 1.0)) in x 0.340 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) 1.0) in x 0.340 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 x)) 1.0)) in x 0.342 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) 1.0) in x 0.342 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [approximate]: Taking taylor expansion of (sqrt (- (* 1.0 x) 1.0)) in (x) around 0 0.351 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 x) 1.0)) in x 0.351 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 1.0) in x 0.351 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 x) 1.0)) in x 0.356 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 1.0) in x 0.356 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.370 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* 1.0 x) 1.0))) in (x) around 0 0.370 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 x) 1.0))) in x 0.370 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) 1.0)) in x 0.370 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) 1.0) in x 0.370 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 x) 1.0))) in x 0.375 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) 1.0)) in x 0.375 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) 1.0) in x 0.375 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.393 * [approximate]: Taking taylor expansion of (log (sqrt (- (* 1.0 (/ 1 x)) 1.0))) in (x) around 0 0.393 * [taylor]: Taking taylor expansion of (log (sqrt (- (* 1.0 (/ 1 x)) 1.0))) in x 0.393 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 x)) 1.0)) in x 0.393 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) 1.0) in x 0.393 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.393 * [taylor]: Taking taylor expansion of 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 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of (log (sqrt (- (* 1.0 (/ 1 x)) 1.0))) in x 0.395 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 x)) 1.0)) in x 0.395 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) 1.0) in x 0.395 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.396 * [taylor]: Taking taylor expansion of 1.0 in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of 1.0 in x 0.417 * [approximate]: Taking taylor expansion of (log (sqrt (- (* 1.0 x) 1.0))) in (x) around 0 0.417 * [taylor]: Taking taylor expansion of (log (sqrt (- (* 1.0 x) 1.0))) in x 0.417 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 x) 1.0)) in x 0.417 * [taylor]: Taking taylor expansion of (- (* 1.0 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 1.0 in x 0.422 * [taylor]: Taking taylor expansion of (log (sqrt (- (* 1.0 x) 1.0))) in x 0.422 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 x) 1.0)) in x 0.422 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 1.0) in x 0.422 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.422 * [taylor]: Taking taylor expansion of 1.0 in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of 1.0 in x 0.463 * [approximate]: Taking taylor expansion of (log (sqrt (- (+ (* 1.0 x) 1.0)))) in (x) around 0 0.463 * [taylor]: Taking taylor expansion of (log (sqrt (- (+ (* 1.0 x) 1.0)))) in x 0.463 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 x) 1.0))) in x 0.463 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) 1.0)) in x 0.463 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) 1.0) in x 0.463 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of (log (sqrt (- (+ (* 1.0 x) 1.0)))) in x 0.468 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 x) 1.0))) in x 0.468 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) 1.0)) in x 0.468 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) 1.0) in x 0.468 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.511 * [approximate]: Taking taylor expansion of (log (sqrt (- (* 1.0 (/ 1 x)) 1.0))) in (x) around 0 0.511 * [taylor]: Taking taylor expansion of (log (sqrt (- (* 1.0 (/ 1 x)) 1.0))) in x 0.511 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 x)) 1.0)) in x 0.511 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) 1.0) in x 0.511 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [taylor]: Taking taylor expansion of (log (sqrt (- (* 1.0 (/ 1 x)) 1.0))) in x 0.514 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 x)) 1.0)) in x 0.514 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) 1.0) in x 0.514 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [approximate]: Taking taylor expansion of (log (sqrt (- (* 1.0 x) 1.0))) in (x) around 0 0.535 * [taylor]: Taking taylor expansion of (log (sqrt (- (* 1.0 x) 1.0))) in x 0.535 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 x) 1.0)) in x 0.535 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 1.0) in x 0.535 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.535 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of 1.0 in x 0.540 * [taylor]: Taking taylor expansion of (log (sqrt (- (* 1.0 x) 1.0))) in x 0.540 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 x) 1.0)) in x 0.540 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 1.0) in x 0.540 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.540 * [taylor]: Taking taylor expansion of 1.0 in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of 1.0 in x 0.582 * [approximate]: Taking taylor expansion of (log (sqrt (- (+ (* 1.0 x) 1.0)))) in (x) around 0 0.582 * [taylor]: Taking taylor expansion of (log (sqrt (- (+ (* 1.0 x) 1.0)))) in x 0.582 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 x) 1.0))) in x 0.582 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) 1.0)) in x 0.582 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) 1.0) in x 0.582 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.582 * [taylor]: Taking taylor expansion of 1.0 in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of 1.0 in x 0.588 * [taylor]: Taking taylor expansion of (log (sqrt (- (+ (* 1.0 x) 1.0)))) in x 0.588 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 x) 1.0))) in x 0.588 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) 1.0)) in x 0.588 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) 1.0) in x 0.588 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.588 * [taylor]: Taking taylor expansion of 1.0 in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of 1.0 in x 0.630 * * * [progress]: simplifying candidates 0.632 * [simplify]: Simplifying using # : (expm1 (sqrt (- (/ 1.0 x) 1.0))) (log1p (sqrt (- (/ 1.0 x) 1.0))) (log (sqrt (- (/ 1.0 x) 1.0))) (exp (sqrt (- (/ 1.0 x) 1.0))) (* (cbrt (sqrt (- (/ 1.0 x) 1.0))) (cbrt (sqrt (- (/ 1.0 x) 1.0)))) (cbrt (sqrt (- (/ 1.0 x) 1.0))) (* (* (sqrt (- (/ 1.0 x) 1.0)) (sqrt (- (/ 1.0 x) 1.0))) (sqrt (- (/ 1.0 x) 1.0))) (sqrt (* (cbrt (- (/ 1.0 x) 1.0)) (cbrt (- (/ 1.0 x) 1.0)))) (sqrt (cbrt (- (/ 1.0 x) 1.0))) (sqrt (sqrt (- (/ 1.0 x) 1.0))) (sqrt (sqrt (- (/ 1.0 x) 1.0))) (sqrt 1) (sqrt (- (/ 1.0 x) 1.0)) (sqrt (+ (sqrt (/ 1.0 x)) (sqrt 1.0))) (sqrt (- (sqrt (/ 1.0 x)) (sqrt 1.0))) (sqrt (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (sqrt (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (sqrt 1) (sqrt (- (/ 1.0 x) 1.0)) (sqrt (- (pow (/ 1.0 x) 3) (pow 1.0 3))) (sqrt (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* 1.0 1.0) (* (/ 1.0 x) 1.0)))) (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* 1.0 1.0))) (sqrt (+ (/ 1.0 x) 1.0)) (/ 1 2) (sqrt (sqrt (- (/ 1.0 x) 1.0))) (sqrt (sqrt (- (/ 1.0 x) 1.0))) (expm1 (sqrt (- (/ 1.0 x) 1.0))) (log1p (sqrt (- (/ 1.0 x) 1.0))) (log (sqrt (- (/ 1.0 x) 1.0))) (exp (sqrt (- (/ 1.0 x) 1.0))) (* (cbrt (sqrt (- (/ 1.0 x) 1.0))) (cbrt (sqrt (- (/ 1.0 x) 1.0)))) (cbrt (sqrt (- (/ 1.0 x) 1.0))) (* (* (sqrt (- (/ 1.0 x) 1.0)) (sqrt (- (/ 1.0 x) 1.0))) (sqrt (- (/ 1.0 x) 1.0))) (sqrt (* (cbrt (- (/ 1.0 x) 1.0)) (cbrt (- (/ 1.0 x) 1.0)))) (sqrt (cbrt (- (/ 1.0 x) 1.0))) (sqrt (sqrt (- (/ 1.0 x) 1.0))) (sqrt (sqrt (- (/ 1.0 x) 1.0))) (sqrt 1) (sqrt (- (/ 1.0 x) 1.0)) (sqrt (+ (sqrt (/ 1.0 x)) (sqrt 1.0))) (sqrt (- (sqrt (/ 1.0 x)) (sqrt 1.0))) (sqrt (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (sqrt (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (sqrt 1) (sqrt (- (/ 1.0 x) 1.0)) (sqrt (- (pow (/ 1.0 x) 3) (pow 1.0 3))) (sqrt (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* 1.0 1.0) (* (/ 1.0 x) 1.0)))) (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* 1.0 1.0))) (sqrt (+ (/ 1.0 x) 1.0)) (/ 1 2) (sqrt (sqrt (- (/ 1.0 x) 1.0))) (sqrt (sqrt (- (/ 1.0 x) 1.0))) (expm1 (log (sqrt (- (/ 1.0 x) 1.0)))) (log1p (log (sqrt (- (/ 1.0 x) 1.0)))) (log (* (cbrt (sqrt (- (/ 1.0 x) 1.0))) (cbrt (sqrt (- (/ 1.0 x) 1.0))))) (log (cbrt (sqrt (- (/ 1.0 x) 1.0)))) (log (sqrt (* (cbrt (- (/ 1.0 x) 1.0)) (cbrt (- (/ 1.0 x) 1.0))))) (log (sqrt (cbrt (- (/ 1.0 x) 1.0)))) (log (sqrt (sqrt (- (/ 1.0 x) 1.0)))) (log (sqrt (sqrt (- (/ 1.0 x) 1.0)))) (log (sqrt 1)) (log (sqrt (- (/ 1.0 x) 1.0))) (log (sqrt (+ (sqrt (/ 1.0 x)) (sqrt 1.0)))) (log (sqrt (- (sqrt (/ 1.0 x)) (sqrt 1.0)))) (log (sqrt (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))) (log (sqrt (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))) (log (sqrt 1)) (log (sqrt (- (/ 1.0 x) 1.0))) (log (sqrt (sqrt (- (/ 1.0 x) 1.0)))) (log (sqrt (sqrt (- (/ 1.0 x) 1.0)))) (log 1) (log (sqrt (- (/ 1.0 x) 1.0))) (log (sqrt (- (pow (/ 1.0 x) 3) (pow 1.0 3)))) (log (sqrt (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* 1.0 1.0) (* (/ 1.0 x) 1.0))))) (log (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* 1.0 1.0)))) (log (sqrt (+ (/ 1.0 x) 1.0))) (log (- (/ 1.0 x) 1.0)) (log (sqrt (- (/ 1.0 x) 1.0))) (log (- (/ 1.0 x) 1.0)) (log (log (sqrt (- (/ 1.0 x) 1.0)))) (exp (log (sqrt (- (/ 1.0 x) 1.0)))) (* (cbrt (log (sqrt (- (/ 1.0 x) 1.0)))) (cbrt (log (sqrt (- (/ 1.0 x) 1.0))))) (cbrt (log (sqrt (- (/ 1.0 x) 1.0)))) (* (* (log (sqrt (- (/ 1.0 x) 1.0))) (log (sqrt (- (/ 1.0 x) 1.0)))) (log (sqrt (- (/ 1.0 x) 1.0)))) (sqrt (log (sqrt (- (/ 1.0 x) 1.0)))) (sqrt (log (sqrt (- (/ 1.0 x) 1.0)))) (expm1 (log (sqrt (- (/ 1.0 x) 1.0)))) (log1p (log (sqrt (- (/ 1.0 x) 1.0)))) (log (* (cbrt (sqrt (- (/ 1.0 x) 1.0))) (cbrt (sqrt (- (/ 1.0 x) 1.0))))) (log (cbrt (sqrt (- (/ 1.0 x) 1.0)))) (log (sqrt (* (cbrt (- (/ 1.0 x) 1.0)) (cbrt (- (/ 1.0 x) 1.0))))) (log (sqrt (cbrt (- (/ 1.0 x) 1.0)))) (log (sqrt (sqrt (- (/ 1.0 x) 1.0)))) (log (sqrt (sqrt (- (/ 1.0 x) 1.0)))) (log (sqrt 1)) (log (sqrt (- (/ 1.0 x) 1.0))) (log (sqrt (+ (sqrt (/ 1.0 x)) (sqrt 1.0)))) (log (sqrt (- (sqrt (/ 1.0 x)) (sqrt 1.0)))) (log (sqrt (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))) (log (sqrt (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))) (log (sqrt 1)) (log (sqrt (- (/ 1.0 x) 1.0))) (log (sqrt (sqrt (- (/ 1.0 x) 1.0)))) (log (sqrt (sqrt (- (/ 1.0 x) 1.0)))) (log 1) (log (sqrt (- (/ 1.0 x) 1.0))) (log (sqrt (- (pow (/ 1.0 x) 3) (pow 1.0 3)))) (log (sqrt (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* 1.0 1.0) (* (/ 1.0 x) 1.0))))) (log (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* 1.0 1.0)))) (log (sqrt (+ (/ 1.0 x) 1.0))) (log (- (/ 1.0 x) 1.0)) (log (sqrt (- (/ 1.0 x) 1.0))) (log (- (/ 1.0 x) 1.0)) (log (log (sqrt (- (/ 1.0 x) 1.0)))) (exp (log (sqrt (- (/ 1.0 x) 1.0)))) (* (cbrt (log (sqrt (- (/ 1.0 x) 1.0)))) (cbrt (log (sqrt (- (/ 1.0 x) 1.0))))) (cbrt (log (sqrt (- (/ 1.0 x) 1.0)))) (* (* (log (sqrt (- (/ 1.0 x) 1.0))) (log (sqrt (- (/ 1.0 x) 1.0)))) (log (sqrt (- (/ 1.0 x) 1.0)))) (sqrt (log (sqrt (- (/ 1.0 x) 1.0)))) (sqrt (log (sqrt (- (/ 1.0 x) 1.0)))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- +nan.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt (- 1.0))))) (sqrt (- 1.0))) (* 0.125 (/ 1 (* (pow x 2) (pow (sqrt (- 1.0)) 3))))) (- (+ (* 0.5 (/ 1 (* x (sqrt (- 1.0))))) (sqrt (- 1.0))) (* 0.125 (/ 1 (* (pow x 2) (pow (sqrt (- 1.0)) 3))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- +nan.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt (- 1.0))))) (sqrt (- 1.0))) (* 0.125 (/ 1 (* (pow x 2) (pow (sqrt (- 1.0)) 3))))) (- (+ (* 0.5 (/ 1 (* x (sqrt (- 1.0))))) (sqrt (- 1.0))) (* 0.125 (/ 1 (* (pow x 2) (pow (sqrt (- 1.0)) 3))))) (- (log +nan.0) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) (- (+ (log (sqrt (- 1.0))) (* 0.5 (/ 1 (* x (pow (sqrt (- 1.0)) 2))))) (* 0.25 (/ 1 (* (pow x 2) (pow (sqrt (- 1.0)) 4))))) (- (+ (log (sqrt (- 1.0))) (* 0.5 (/ 1 (* x (pow (sqrt (- 1.0)) 2))))) (* 0.25 (/ 1 (* (pow x 2) (pow (sqrt (- 1.0)) 4))))) (- (log +nan.0) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) (- (+ (log (sqrt (- 1.0))) (* 0.5 (/ 1 (* x (pow (sqrt (- 1.0)) 2))))) (* 0.25 (/ 1 (* (pow x 2) (pow (sqrt (- 1.0)) 4))))) (- (+ (log (sqrt (- 1.0))) (* 0.5 (/ 1 (* x (pow (sqrt (- 1.0)) 2))))) (* 0.25 (/ 1 (* (pow x 2) (pow (sqrt (- 1.0)) 4))))) 0.637 * * [simplify]: iteration 0 : 223 enodes (cost 766 ) 0.640 * * [simplify]: iteration 1 : 608 enodes (cost 714 ) 0.651 * * [simplify]: iteration 2 : 2651 enodes (cost 696 ) 0.709 * * [simplify]: iteration 3 : 5001 enodes (cost 682 ) 0.713 * [simplify]: Simplified to: (expm1 (sqrt (- (/ 1.0 x) 1.0))) (log1p (sqrt (- (/ 1.0 x) 1.0))) (log (sqrt (- (/ 1.0 x) 1.0))) (exp (sqrt (- (/ 1.0 x) 1.0))) (* (cbrt (sqrt (- (/ 1.0 x) 1.0))) (cbrt (sqrt (- (/ 1.0 x) 1.0)))) (cbrt (sqrt (- (/ 1.0 x) 1.0))) (pow (sqrt (- (/ 1.0 x) 1.0)) 3) (fabs (cbrt (- (/ 1.0 x) 1.0))) (sqrt (cbrt (- (/ 1.0 x) 1.0))) (sqrt (sqrt (- (/ 1.0 x) 1.0))) (sqrt (sqrt (- (/ 1.0 x) 1.0))) 1 (sqrt (- (/ 1.0 x) 1.0)) (sqrt (+ (sqrt (/ 1.0 x)) (sqrt 1.0))) (sqrt (- (sqrt (/ 1.0 x)) (sqrt 1.0))) (sqrt 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(sqrt 1.0) (sqrt x)) (sqrt 1.0)))) (log (sqrt (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))) 0 (log (sqrt (- (/ 1.0 x) 1.0))) (log (sqrt (sqrt (- (/ 1.0 x) 1.0)))) (log (sqrt (sqrt (- (/ 1.0 x) 1.0)))) 0 (log (sqrt (- (/ 1.0 x) 1.0))) (log (sqrt (- (pow (/ 1.0 x) 3) (pow 1.0 3)))) (log (sqrt (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* 1.0 1.0) (* (/ 1.0 x) 1.0))))) (log (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* 1.0 1.0)))) (log (sqrt (+ (/ 1.0 x) 1.0))) (log (- (/ 1.0 x) 1.0)) (log (sqrt (- (/ 1.0 x) 1.0))) (log (- (/ 1.0 x) 1.0)) (log (log (sqrt (- (/ 1.0 x) 1.0)))) (sqrt (- (/ 1.0 x) 1.0)) (* (cbrt (log (sqrt (- (/ 1.0 x) 1.0)))) (cbrt (log (sqrt (- (/ 1.0 x) 1.0))))) (cbrt (log (sqrt (- (/ 1.0 x) 1.0)))) (pow (log (sqrt (- (/ 1.0 x) 1.0))) 3) (sqrt (log (sqrt (- (/ 1.0 x) 1.0)))) (sqrt (log (sqrt (- (/ 1.0 x) 1.0)))) (fma (- (pow x 2)) +nan.0 (fma +nan.0 x (- +nan.0))) (- (+ (/ (/ 0.5 (sqrt (- 1.0))) x) (sqrt (- 1.0))) (/ (/ 0.125 (pow (sqrt (- 1.0)) 3)) (pow x 2))) (- (+ (/ (/ 0.5 (sqrt (- 1.0))) x) (sqrt (- 1.0))) (/ (/ 0.125 (pow (sqrt (- 1.0)) 3)) (pow x 2))) (fma (- (pow x 2)) +nan.0 (fma +nan.0 x (- +nan.0))) (- (+ (/ (/ 0.5 (sqrt (- 1.0))) x) (sqrt (- 1.0))) (/ (/ 0.125 (pow (sqrt (- 1.0)) 3)) (pow x 2))) (- (+ (/ (/ 0.5 (sqrt (- 1.0))) x) (sqrt (- 1.0))) (/ (/ 0.125 (pow (sqrt (- 1.0)) 3)) (pow x 2))) (fma (- +nan.0) (- (pow x 2) x) (log +nan.0)) (+ (+ (/ (- (/ 0.25 (pow x 2))) (* 1.0 1.0)) (/ (/ 0.5 (- 1.0)) x)) (log (sqrt (- 1.0)))) (+ (+ (/ (- (/ 0.25 (pow x 2))) (* 1.0 1.0)) (/ (/ 0.5 (- 1.0)) x)) (log (sqrt (- 1.0)))) (fma (- +nan.0) (- (pow x 2) x) (log +nan.0)) (+ (+ (/ (- (/ 0.25 (pow x 2))) (* 1.0 1.0)) (/ (/ 0.5 (- 1.0)) x)) (log (sqrt (- 1.0)))) (+ (+ (/ (- (/ 0.25 (pow x 2))) (* 1.0 1.0)) (/ (/ 0.5 (- 1.0)) x)) (log (sqrt (- 1.0)))) 0.713 * * * [progress]: adding candidates to table 0.979 * [progress]: [Phase 3 of 3] Extracting. 0.981 * [simplify]: Simplifying using # : (- (+ (log (sqrt (- (/ 1.0 x) 1.0))) (log (sqrt (- (/ 1.0 x) 1.0))))) 0.982 * * [simplify]: iteration 0 : 10 enodes (cost 10 ) 0.982 * * [simplify]: iteration 1 : 10 enodes (cost 10 ) 0.982 * [simplify]: Simplified to: (- (+ (log (sqrt (- (/ 1.0 x) 1.0))) (log (sqrt (- (/ 1.0 x) 1.0))))) 2.028 * [regime-testing]: End program error score: 0.01601160340005636