3.195 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.037 * [simplify]: Simplifying using # : (- (log (- (/ 1.0 x) 1.0))) 0.039 * * [simplify]: iteration 0 : 8 enodes (cost 4 ) 0.041 * * [simplify]: iteration 1 : 9 enodes (cost 4 ) 0.042 * * [simplify]: iteration 2 : 9 enodes (cost 4 ) 0.042 * [simplify]: Simplified to: (- (log (- (/ 1.0 x) 1.0))) 0.042 * * [progress]: iteration 1 / 4 0.042 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.059 * * * [progress]: generating series expansions 0.059 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.059 * [approximate]: Taking taylor expansion of (log (- (* 1.0 (/ 1 x)) 1.0)) in (x) around 0 0.059 * [taylor]: Taking taylor expansion of (log (- (* 1.0 (/ 1 x)) 1.0)) in x 0.059 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [taylor]: Taking taylor expansion of (log (- (* 1.0 (/ 1 x)) 1.0)) in x 0.060 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) 1.0) in x 0.060 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [approximate]: Taking taylor expansion of (log (- (* 1.0 x) 1.0)) in (x) around 0 0.080 * [taylor]: Taking taylor expansion of (log (- (* 1.0 x) 1.0)) in x 0.080 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 1.0) in x 0.080 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (log (- (* 1.0 x) 1.0)) in x 0.081 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 1.0) in x 0.081 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.081 * [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 0.103 * [approximate]: Taking taylor expansion of (log (- (+ (* 1.0 x) 1.0))) in (x) around 0 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 0.105 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 x) 1.0))) in x 0.105 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) 1.0)) in x 0.105 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) 1.0) in x 0.105 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * * * [progress]: simplifying candidates 0.125 * [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)))) 0.128 * * [simplify]: iteration 0 : 161 enodes (cost 151 ) 0.131 * * [simplify]: iteration 1 : 452 enodes (cost 138 ) 0.139 * * [simplify]: iteration 2 : 1918 enodes (cost 137 ) 0.185 * * [simplify]: iteration 3 : 5003 enodes (cost 137 ) 0.186 * [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))) 0.186 * * * [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) 0.264 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.271 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.281 * * * [progress]: generating series expansions 0.281 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 0.281 * [approximate]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 x)) 1.0)) in (x) around 0 0.281 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 x)) 1.0)) in x 0.281 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) 1.0) in x 0.281 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.281 * [taylor]: Taking taylor expansion of 1.0 in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of 1.0 in x 0.283 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 x)) 1.0)) in x 0.284 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) 1.0) in x 0.284 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of 1.0 in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of 1.0 in x 0.297 * [approximate]: Taking taylor expansion of (sqrt (- (* 1.0 x) 1.0)) in (x) around 0 0.297 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 x) 1.0)) in x 0.297 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 1.0) in x 0.297 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.297 * [taylor]: Taking taylor expansion of 1.0 in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of 1.0 in x 0.301 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 x) 1.0)) in x 0.301 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 1.0) in x 0.301 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.301 * [taylor]: Taking taylor expansion of 1.0 in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of 1.0 in x 0.316 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* 1.0 x) 1.0))) in (x) around 0 0.316 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 x) 1.0))) in x 0.316 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) 1.0)) in x 0.316 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) 1.0) in x 0.316 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.316 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.321 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 x) 1.0))) in x 0.321 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) 1.0)) in x 0.321 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) 1.0) in x 0.321 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.321 * [taylor]: Taking taylor expansion of 1.0 in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of 1.0 in x 0.337 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.337 * [approximate]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 x)) 1.0)) in (x) around 0 0.338 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 x)) 1.0)) in x 0.338 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) 1.0) in x 0.338 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 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 0.349 * [approximate]: Taking taylor expansion of (sqrt (- (* 1.0 x) 1.0)) in (x) around 0 0.349 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 x) 1.0)) in x 0.349 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 1.0) in x 0.349 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 x) 1.0)) in x 0.354 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 1.0) in x 0.354 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* 1.0 x) 1.0))) in (x) around 0 0.369 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 x) 1.0))) in x 0.369 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) 1.0)) in x 0.369 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) 1.0) in x 0.369 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 x) 1.0))) in x 0.374 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) 1.0)) in x 0.374 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) 1.0) in x 0.374 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.395 * [approximate]: Taking taylor expansion of (log (sqrt (- (* 1.0 (/ 1 x)) 1.0))) in (x) around 0 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 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.397 * [taylor]: Taking taylor expansion of (log (sqrt (- (* 1.0 (/ 1 x)) 1.0))) in x 0.397 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 x)) 1.0)) in x 0.397 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) 1.0) in x 0.397 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.397 * [taylor]: Taking taylor expansion of 1.0 in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of 1.0 in x 0.419 * [approximate]: Taking taylor expansion of (log (sqrt (- (* 1.0 x) 1.0))) in (x) around 0 0.419 * [taylor]: Taking taylor expansion of (log (sqrt (- (* 1.0 x) 1.0))) in x 0.419 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 x) 1.0)) in x 0.419 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 1.0) in x 0.419 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.419 * [taylor]: Taking taylor expansion of 1.0 in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [taylor]: Taking taylor expansion of (log (sqrt (- (* 1.0 x) 1.0))) in x 0.424 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 x) 1.0)) in x 0.424 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 1.0) in x 0.424 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.472 * [approximate]: Taking taylor expansion of (log (sqrt (- (+ (* 1.0 x) 1.0)))) in (x) around 0 0.472 * [taylor]: Taking taylor expansion of (log (sqrt (- (+ (* 1.0 x) 1.0)))) in x 0.472 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 x) 1.0))) in x 0.472 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) 1.0)) in x 0.472 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) 1.0) in x 0.472 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.472 * [taylor]: Taking taylor expansion of 1.0 in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of (log (sqrt (- (+ (* 1.0 x) 1.0)))) in x 0.477 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 x) 1.0))) in x 0.477 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) 1.0)) in x 0.477 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) 1.0) in x 0.477 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.519 * [approximate]: Taking taylor expansion of (log (sqrt (- (* 1.0 (/ 1 x)) 1.0))) in (x) around 0 0.519 * [taylor]: Taking taylor expansion of (log (sqrt (- (* 1.0 (/ 1 x)) 1.0))) in x 0.519 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 x)) 1.0)) in x 0.519 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) 1.0) in x 0.519 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [taylor]: Taking taylor expansion of (log (sqrt (- (* 1.0 (/ 1 x)) 1.0))) in x 0.522 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 x)) 1.0)) in x 0.522 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) 1.0) in x 0.522 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [approximate]: Taking taylor expansion of (log (sqrt (- (* 1.0 x) 1.0))) in (x) around 0 0.544 * [taylor]: Taking taylor expansion of (log (sqrt (- (* 1.0 x) 1.0))) in x 0.544 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 x) 1.0)) in x 0.544 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 1.0) in x 0.544 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.555 * [taylor]: Taking taylor expansion of (log (sqrt (- (* 1.0 x) 1.0))) in x 0.555 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 x) 1.0)) in x 0.555 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 1.0) in x 0.555 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.555 * [taylor]: Taking taylor expansion of 1.0 in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of 1.0 in x 0.596 * [approximate]: Taking taylor expansion of (log (sqrt (- (+ (* 1.0 x) 1.0)))) in (x) around 0 0.596 * [taylor]: Taking taylor expansion of (log (sqrt (- (+ (* 1.0 x) 1.0)))) in x 0.596 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 x) 1.0))) in x 0.596 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) 1.0)) in x 0.596 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) 1.0) in x 0.596 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.596 * [taylor]: Taking taylor expansion of 1.0 in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of 1.0 in x 0.602 * [taylor]: Taking taylor expansion of (log (sqrt (- (+ (* 1.0 x) 1.0)))) in x 0.602 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1.0 x) 1.0))) in x 0.602 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) 1.0)) in x 0.602 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) 1.0) in x 0.602 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.649 * * * [progress]: simplifying candidates 0.651 * [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))))) 0.655 * * [simplify]: iteration 0 : 223 enodes (cost 764 ) 0.659 * * [simplify]: iteration 1 : 608 enodes (cost 714 ) 0.670 * * [simplify]: iteration 2 : 2651 enodes (cost 696 ) 0.727 * * [simplify]: iteration 3 : 5001 enodes (cost 682 ) 0.730 * [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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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)))) (* 2 (log (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)))) 0 (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)))) 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 (+ (* 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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)))) 0.731 * * * [progress]: adding candidates to table 0.993 * [progress]: [Phase 3 of 3] Extracting. 0.995 * [simplify]: Simplifying using # : (- (+ (log (sqrt (- (/ 1.0 x) 1.0))) (log (sqrt (- (/ 1.0 x) 1.0))))) 0.995 * * [simplify]: iteration 0 : 10 enodes (cost 10 ) 0.996 * * [simplify]: iteration 1 : 10 enodes (cost 10 ) 0.996 * [simplify]: Simplified to: (- (+ (log (sqrt (- (/ 1.0 x) 1.0))) (log (sqrt (- (/ 1.0 x) 1.0))))) 2.050 * [regime-testing]: End program error score: 0.01601160340005636